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1,000,000,000

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1000000000
CardinalOne billion (short scale)
One thousand million, or one milliard (long scale)
OrdinalOne billionth (short scale)
Factorization
  • 29
  • 59
Greek numeral
Roman numeralM
Binary1110111001101011001010000000002
Ternary21202002000210100013
Senary2431212453446
Octal73465450008
Duodecimal23AA9385412
Hexadecimal3B9ACA0016

1,000,000,000(onebillion,short scale;one thousand million or one milliard, one yard,[1]long scale) is thenatural numberfollowing999,999,999and preceding 1,000,000,001. With a number, "billion" can be abbreviated asb,bil[citation needed]orbn.[2][3]

In standard form, it is written as1 × 109.Themetric prefixgigaindicates 1,000,000,000 times the base unit. Its symbol isG.

One billion years may be called aneonin astronomy or geology.

Previously inBritish English(but not inAmerican English), the word "billion" referred exclusively to a million millions (1,000,000,000,000). However, this is not common anymore, and the word has been used to mean one thousand million (1,000,000,000) for several decades.[4]

The termmilliardcould also be used to refer to 1,000,000,000; whereas "milliard" is rarely used in English,[5]variations on this name often appear inother languages.

In theIndian numbering system,it is known as 100croreor 1arab.

1,000,000,000 is also thecubeof1000.

Visualization of powers of ten from one to 1 billion

Sense of scale[edit]

The facts below give a sense of how large 1,000,000,000 (109) is in the context of time according to current scientific evidence:

Time[edit]

  • 109seconds (1 gigasecond) equal 11,574 days, 1 hour, 46 minutes and 40 seconds (approximately 31.7 years, or 31 years, 8 months, 8 days).
  • About 109minutes ago, theRoman Empirewas flourishing and Christianity was emerging. (109minutes is roughly 1,901 years.)
  • About 109hours ago, modern human beings and their ancestors were living in theStone Age(more precisely, theMiddle Paleolithic). (109hours is roughly 114,080 years.)
  • About 109days ago,Australopithecus,an ape-like creature related to an ancestor of modern humans, roamed the Africansavannas.(109days is roughly2.738 millionyears.)
  • About 109months ago,dinosaurswalked the Earth during the lateCretaceous.(109months is roughly83.3 millionyears.)
  • About 109years—agigaannus—ago, the firstmulticellulareukaryotesappeared on Earth.
  • About 109decades ago, thethin diskof theMilky Waystarted to form. (109decades is exactly10 billionyears.)
  • Theuniverseis thought to be about13.8 × 109years old.[6]

Distance[edit]

  • 109inches is 15,783 miles (25,400 km), more than halfway around the world and thus sufficient to reach any point on the globe from any other point.
  • 109metres(called agigametre) is almost three times the distance from theEarthto theMoon.
  • 109kilometres(called aterametre) is over six times the distance from theEarthto theSun.

Area[edit]

  • A billion square inches could make a square about one half mile on a side.
  • A bolt of finely woven1000-TCbed sheet linen with a billion thread crossings would have an area of 40 square metres (48 sq yd), comparable to the floor area of a motel unit.

Volume[edit]

  • There are one billion cubicmillimetresin acubic metre,and a billion cubic metres in acubic kilometre.
  • A billion grains of table salt or granulated sugar would occupy a volume of about 2.5 cubic feet (0.071 m3).
  • A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.

Weight[edit]

  • Any object that weighs one billion kilograms (2.2×109lb) would weigh about as much as 5,525 emptyBoeing 747-400s.
  • A cube of iron that weighs one billion pounds (450,000,000 kg) would be 38.62 metres (126.7 ft) on each side.

Products[edit]

Nature[edit]

  • A small mountain, slightly larger thanStone Mountainin Georgia, United States, would weigh (have a mass of) a billion tons.
  • There are billions of worker ants in the largest ant colony in the world,[9]which covers almost 4,000 miles (6,400 km) of the Mediterranean coast.
  • In 1804, theworld populationwas one billion.

Count[edit]

Ais a cube;Bconsists of 1000 cubes the size of cubeA,Cconsists of 1000 cubes the size of cubeB;andDconsists of 1000 cubes the size of cubeC.Thus there are1 millionA-sized cubes inC;and 1,000,000,000A-sized cubes inD.

Selected 10-digit numbers (1,000,000,001–9,999,999,999)[edit]

1,000,000,001 to 1,999,999,999[edit]

  • 1,000,000,007:smallestprime numberwith 10 digits.[10]
  • 1,000,006,281:smallesttriangular numberwith 10 digits and the 44,721st triangular number.
  • 1,000,014,129= 316232,the smallest ten-digit square.
  • 1,003,003,001= 10013,palindromic cube
  • 1,023,456,789:smallest pandigital number in decimal.[11]
  • 1,026,753,849= 320432,the smallest pandigitalsquarein base 10.
  • 1,069,863,695= number of square (0,1)-matrices without zero rows and with exactly 9 entries equal to 1[12]
  • 1,073,741,824= 327682= 10243= 645= 326= 810= 415= 230
  • 1,073,742,724:Leyland number
  • 1,073,792,449:Leyland number
  • 1,093,104,961= number of (unordered, unlabeled) rooted trimmed trees with 28 nodes[13]
  • 1,104,891,746= number ofpartially ordered setwith 12 unlabeled elements[14]
  • 1,111,111,111:repunit,also a special number relating to the passing ofUnix time.
  • 1,129,760,415= 23rdMotzkin number.[15]
  • 1,134,903,170= 45thFibonacci number.
  • 1,139,733,677:number k such that the sum of the squares of the first k primes is divisible by k.[16]
  • 1,160,290,625= 655
  • 1,162,261,467= 319
  • 1,162,268,326:Leyland number
  • 1,166,732,814= number of signed trees with 17 nodes[17]
  • 1,173,741,824:Leyland number
  • 1,220,703,125= 513
  • 1,221,074,418:Leyland number
  • 1,232,922,769:Centered hexagonal number.
  • 1,234,567,890:pandigital number with the digits in order.
  • 1,252,332,576= 665
  • 1,280,000,000= 207
  • 1,291,467,969= 359372= 10893= 336
  • 1,311,738,121:25thPell number.[18]
  • 1,350,125,107= 675
  • 1,382,958,545:15thBell number.[19]
  • 1,392,251,012:number of secondary structures of RNA molecules with 27 nucleotides[20]
  • 1,405,695,061:Markov prime
  • 1,406,818,759:30thWedderburn–Etherington number.[21]
  • 1,421,542,641:logarithmic number.[22]
  • 1,425,893,465= Population of thePeople's Republic of Chinain 2018.[23][24]
  • 1,453,933,568= 685
  • 1,464,407,113:number of series-reduced trees with 39 nodes[25]
  • 1,466,439,680:number ofindependent vertex setsandvertex coversin the 21-sunlet graph[26]
  • 1,475,789,056= 384162= 1964= 148
  • 1,528,823,808= 11523
  • 1,533,776,805:pentagonal triangular number
  • 1,544,804,416= 393042= 11563= 346
  • 1,564,031,349= 695
  • 1,606,879,040:Dowling number[27]
  • 1,631,432,881= 403912,square triangular number
  • 1,661,392,258:n such that n divides (3n+ 5)[28]
  • 1,673,196,525:Least common multiple of the odd integers from 1 to 25
  • 1,677,922,740:number of series-reduced planted trees with 36 nodes[29]
  • 1,680,700,000= 705
  • 1,755,206,648:coefficient of a ménage hit polynomial[30]
  • 1,767,263,190=[31]
  • 1,787,109,376:1-automorphic number[32]
  • 1,801,088,541= 217
  • 1,804,229,351= 715
  • 1,808,141,741:number of partitions of 280 into divisors of 280[33]
  • 1,808,676,326:number of 38-bead necklaces (turning over is allowed) where complements are equivalent[34]
  • 1,836,311,903:46th Fibonacci number.
  • 1,838,265,625= 428752= 12253= 356
  • 1,848,549,332:number of partitions of 270 into divisors of 270[33]
  • 1,857,283,156:number of 37-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[35]
  • 1,882,341,361:The smallest prime whose reversal is asquare triangular number(triangular of 57121).
  • 1,921,525,212:number of partitions of 264 into divisors of 264[33]
  • 1,934,502,740:number of parallelogram polyominoes with 27 cells.[36]
  • 1,934,917,632= 725
  • 1,977,326,743= 711
  • 1,979,339,339:largestright-truncatable primein decimal, if 1 is considered to be a prime[37]
  • 1,996,813,914:Leyland number

2,000,000,000 to 2,999,999,999[edit]

  • 2,023,443,032= number of trees with 28 unlabeled nodes[38]
  • 2,038,074,743= 100,000,000th prime number
  • 2,062,142,876= number of centered hydrocarbons with 30 carbon atoms[39]
  • 2,073,071,593= 735
  • 2,082,061,899= multiplicative inverse of40,014 modulo 2,147,483,563
  • 2,147,483,563= prime number, used as the modulus for thecombined linear congruential generator
  • 2,147,483,647= 8thMersenne prime,3rddouble Mersenne prime,and the largest signed 32-bitinteger.
  • 2,147,483,648= 231
  • 2,147,484,609= Leyland number
  • 2,176,782,336= 466562= 12963= 2164= 366= 612
  • 2,179,768,320= Leyland number
  • 2,214,502,422= 6thprimary pseudoperfect number.[40]
  • 2,219,006,624= 745
  • 2,222,222,222=repdigit
  • 2,276,423,485= number of ways to partition {1,2,...,12} and then partition each cell (block) into subcells.[41]
  • 2,333,606,816=[42]
  • 2,357,947,691= 13313= 119
  • 2,373,046,875= 755
  • 2,494,357,888= 227
  • 2,521,008,887= 4thMills' prime
  • 2,535,525,376= 765
  • 2,562,890,625= 506252= 2254= 158
  • 2,565,726,409= 506532= 13693= 376
  • 2,573,571,875= 55×77[43]
  • 2,695,730,992= number of (unordered, unlabeled) rooted trimmed trees with 29 nodes[13]
  • 2,706,784,157= 775
  • 2,873,403,980= number of uniform rooted trees with 27 nodes[44]
  • 2,834,510,744= number of nonequivalent dissections of an 22-gon into 19 polygons by nonintersecting diagonals up to rotation[45]
  • 2,887,174,368= 785
  • 2,971,215,073= 11th Fibonacci prime (47th Fibonacci number) and a Markov prime.

3,000,000,000 to 3,999,999,999[edit]

  • 3,010,936,384= 548722= 14443= 386
  • 3,077,056,399= 795
  • 3,166,815,962= 26th Pell number.[18]
  • 3,192,727,797= 24th Motzkin number.[15]
  • 3,276,800,000= 805
  • 3,323,236,238= 31st Wedderburn–Etherington number.[21]
  • 3,333,333,333=repdigit
  • 3,404,825,447= 237
  • 3,405,691,582= hexadecimalCAFEBABE;used as a placeholder in programming.
  • 3,405,697,037= hexadecimalCAFED00D;used as a placeholder in programming.
  • 3,461,824,644= number of secondary structures of RNA molecules with 28 nucleotides[20]
  • 3,486,784,401= 590492= 2434= 815= 910= 320
  • 3,486,792,401= Leyland number
  • 3,492,564,909= 12+34+56+78+910[46]
  • 3,518,743,761= 593192= 15213= 396
  • 3,520,581,954= number of series-reduced planted trees with 37 nodes[29]
  • 3,524,337,980= number of 39-bead necklaces (turning over is allowed) where complements are equivalent[34]
  • 3,616,828,364= number of 38-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[35]
  • 3,663,002,302= number of prime numbers having eleven digits[47]
  • 3,665,821,697= 437 × 223+ 1; smallestProth primefor k = 437
  • 3,697,909,056= number of primitive polynomials of degree 37 over GF(2)[48]
  • 3,707,398,432= 825
  • 3,715,891,200= double factorial of 20
  • 3,735,928,559= hexadecimalDEADBEEF;used as a placeholder in programming.
  • 3,735,929,054= hexadecimalDEADC0DE;used as a placeholder in programming.
  • 3,816,547,290= 10 digit polydivisble number
  • 3,939,040,643= 835

4,000,000,000 to 4,999,999,999[edit]

  • 4,006,387,712= number ofindependent vertex setsandvertex coversin the 22-sunlet graph[26]
  • 4,021,227,877= least k >= 1 such that the remainder when 6kis divided by k is 5[49]
  • 4,096,000,000= 640002= 16003= 406
  • 4,118,054,813= number of primes under 1011
  • 4,182,119,424= 845
  • 4,294,967,291= Largest prime 32-bit unsigned integer.
  • 4,294,967,295= Maximum 32-bit unsigned integer (FFFFFFFF16),perfect totient number,product of all knownFermat primesthrough.
  • 4,294,967,296= 655362= 2564= 168= 416= 232
  • 4,294,967,297=,the first compositeFermat number.
  • 4,294,968,320= Leyland number
  • 4,295,032,832= Leyland number
  • 4,437,053,125= 855
  • 4,444,444,444=repdigit
  • 4,467,033,943– number of parallelogram polyominoes with 28 cells.[36]
  • 4,486,784,401= Leyland number
  • 4,500,000,000= Approximate age of the Earth in years
  • 4,586,471,424= 247
  • 4,700,063,497= smallest numbern> 1 such that 2nis congruent to 3 (modn)[50]
  • 4,704,270,176= 865
  • 4,750,104,241= 689212= 16813= 416
  • 4,807,526,976= 48th Fibonacci number.
  • 4,984,209,207= 875

5,000,000,000 to 5,999,999,999[edit]

  • 5,159,780,352= 17283= 129= 1,000,000,00012AKA a great-great-great-gross (1,000,00012great-grosses or 100012great-great-grosses)
  • 5,277,319,168= 885
  • 5,345,531,935= number of centered hydrocarbons with 31 carbon atoms[39]
  • 5,354,228,880= superior highly composite number, smallest number divisible by the numbers from 1 to 24
  • 5,391,411,025= smallest oddabundant numbernot divisible by 3[51]
  • 5,469,566,585= number of trees with 29 unlabeled nodes[52]
  • 5,489,031,744= 740882= 17643= 426
  • 5,555,555,555=repdigit
  • 5,584,059,449= 895
  • 5,702,046,382= number of signed trees with 18 nodes[17]
  • 5,726,623,061= 101010101010101010101010101010101 in binary
  • 5,784,634,181= 13thalternating factorial.[53]
  • 5,904,900,000= 905

6,000,000,000 to 6,999,999,999[edit]

  • 6,103,515,625= 781252= 257= 514
  • 6,104,053,449= Leyland number
  • 6,210,001,000= onlyself-descriptive numberin base 10.
  • 6,227,020,800= 13!
  • 6,240,321,451= 915
  • 6,321,363,049= 795072= 18493= 436
  • 6,469,693,230= tenthprimorial
  • 6,564,120,420=,whereis thethCatalan number.[31]
  • 6,590,815,232= 925
  • 6,659,914,175= number of (unordered, unlabeled) rooted trimmed trees with 30 nodes[13]
  • 6,666,666,666=repdigit
  • 6,956,883,693= 935
  • 6,975,757,441= 835212= 2894= 178
  • 6,983,776,800= 15thcolossally abundant number,[54]15thsuperior highly composite number[55]

7,000,000,000 to 7,999,999,999[edit]

  • 7,007,009,909= smallest number in base 10 to take 100 iterations to form a palindrome[56]
  • 7,048,151,672= number of 39-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[35]
  • 7,256,313,856= 851842= 19363= 446
  • 7,339,040,224= 945
  • 7,371,308,068= number of partitions of 252 into divisors of 252[33]
  • 7,391,026,522= number of planar partitions of 49[57]
  • 7,464,000,000= Estimated population of the Earth in2016according to Worldometers[58]
  • 7,544,428,973= number of uniform rooted trees with 28 nodes[44]
  • 7,645,370,045= 27th Pell number.[18]
  • 7,737,809,375= 955
  • 7,777,777,777=repdigit
  • 7,778,742,049= 49th Fibonacci number.
  • 7,795,000,000= Estimated population of the Earth in2020according to Worldometers[58]
  • 7,862,958,391= 32nd Wedderburn–Etherington number.[21]

8,000,000,000 to 8,999,999,999[edit]

  • 8,031,810,176= 267
  • 8,153,726,976= 965
  • 8,212,890,625= 1-automorphic number[32]
  • 8,303,765,625= 911252= 20253= 456
  • 8,549,176,320=pandigital numberwith the digits arranged in alphabetical order by English name
  • 8,587,340,257= 975
  • 8,589,866,963= number of subsets of {1,2,...,33} with relatively prime elements[59]
  • 8,589,869,056= 6thperfect number.[60]
  • 8,589,934,592= 20483= 811= 233
  • 8,589,935,681= Leyland prime
  • 8,622,571,758= number of secondary structures of RNA molecules with 29 nucleotides[20]
  • 8,804,293,473= Leyland number
  • 8,888,888,888=repdigit

9,000,000,000 to 9,999,999,999[edit]

  • 9,039,207,968= 985
  • 9,043,402,501= 25thMotzkin number.[15]
  • 9,393,931,000= 21103
  • 9,474,296,896= 973362= 21163= 466
  • 9,509,900,499= 995
  • 9,814,072,356= 990662,the largestpandigital square,largest pandigital pure power.
  • 9,876,543,210= largest number without repeated digits in base 10.
  • 9,999,800,001= 999992,the largest ten-digit square.
  • 9,999,999,967= greatest prime number with 10 digits[61]
  • 9,999,999,999= largest 10-digit number,repdigit

References[edit]

  1. ^"Yard".Investopedia.Retrieved13 November2017.
  2. ^"figures".The Economist Style Guide(11th ed.).The Economist.2015.ISBN9781782830917.
  3. ^"6.5 Abbreviating 'million' and 'billion'".English Style Guide: A handbook for authors and translators in the European Commission(PDF)(8th ed.).European Commission.3 November 2017. p. 32.
  4. ^"How many is a billion?".OxfordDictionaries.com.Archived fromthe originalon January 12, 2017.Retrieved13 November2017.
  5. ^"billion,thousand million,milliard".Google Ngram Viewer.Retrieved13 November2017.
  6. ^"Cosmic Detectives".European Space Agency.2 April 2013.
  7. ^Panken, Eli (27 July 2016)."Apple Announces It Has Sold One Billion iPhones".NBCNews.com.Retrieved22 April2023.
  8. ^Seethamaram, Deep (27 July 2016)."Facebook Posts Strong Profit and Revenue Growth".The Wall Street Journal.Retrieved13 November2017.
  9. ^Burke, Jeremy (16 June 2015)."How the World Became A Giant Ant Colony".Atlas Obscura.Retrieved13 November2017.
  10. ^Sloane, N. J. A.(ed.)."Sequence A003617 (Smallest n-digit prime)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  11. ^Sloane, N. J. A.(ed.)."Sequence A049363 (a(1) = 1; for n > 1, smallest digitally balanced number in base n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  12. ^Sloane, N. J. A.(ed.)."Sequence A122400 (Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  13. ^abcSloane, N. J. A.(ed.)."Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  14. ^Sloane, N. J. A.(ed.)."Sequence A000112 (Number of partially ordered sets (posets) with n unlabeled elements)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  15. ^abcSloane, N. J. A.(ed.)."Sequence A001006 (Motzkin numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  16. ^Sloane, N. J. A.(ed.)."Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  17. ^abSloane, N. J. A.(ed.)."Sequence A000060 (Number of signed trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  18. ^abcSloane, N. J. A.(ed.)."Sequence A000129 (Pell numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  19. ^Sloane, N. J. A.(ed.)."Sequence A000110 (Bell or exponential numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  20. ^abcSloane, N. J. A.(ed.)."Sequence A004148 (Generalized Catalan numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  21. ^abcSloane, N. J. A.(ed.)."Sequence A001190 (Wedderburn-Etherington numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  22. ^Sloane, N. J. A.(ed.)."Sequence A002104 (Logarithmic numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  23. ^"World Population Prospects 2022".United Nations Department of Economic and Social Affairs,Population Division.RetrievedJuly 17,2022.
  24. ^"World Population Prospects 2022: Demographic indicators by region, subregion and country, annually for 1950-2100"(XSLX)( "Total Population, as of 1 July (thousands)" ).United Nations Department of Economic and Social Affairs,Population Division.RetrievedJuly 17,2022.
  25. ^Sloane, N. J. A.(ed.)."Sequence A000014 (Number of series-reduced trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  26. ^abSloane, N. J. A.(ed.)."Sequence A080040 (2*a(n-1) + 2*a(n-2) for n > 1)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  27. ^Sloane, N. J. A.(ed.)."Sequence A007405 (Dowling numbers: e.g.f.: exp(x + (exp(b*x) - 1)/b) with b=2)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  28. ^Sloane, N. J. A.(ed.)."Sequence A277288 (Positive integers n such that n divides (3^n + 5))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  29. ^abSloane, N. J. A.(ed.)."Sequence A001678 (Number of series-reduced planted trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  30. ^Sloane, N. J. A.(ed.)."Sequence A000033 (Coefficients of ménage hit polynomials)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  31. ^abSloane, N. J. A.(ed.)."Sequence A000108 (Catalan numbers: (2n)!/(n!(n+1)!))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  32. ^abSloane, N. J. A.(ed.)."Sequence A003226 (Automorphic numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  33. ^abcdSloane, N. J. A.(ed.)."Sequence A018818 (Number of partitions of n into divisors of n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  34. ^abSloane, N. J. A.(ed.)."Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  35. ^abcSloane, N. J. A.(ed.)."Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  36. ^abSloane, N. J. A.(ed.)."Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  37. ^Sloane, N. J. A.(ed.)."Sequence A012883 (Numbers in which every prefix (in base 10) is 1 or a prime.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  38. ^Sloane, N. J. A.(ed.)."Sequence A000055 (Number of trees with n unlabeled nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  39. ^abSloane, N. J. A.(ed.)."Sequence A000022 (Number of centered hydrocarbons with n atoms)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  40. ^Sloane, N. J. A.(ed.)."Sequence A054377 (Primary pseudoperfect numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  41. ^Sloane, N. J. A.(ed.)."Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  42. ^Sloane, N. J. A.(ed.)."Sequence A056045 (Sum_{d divides n} binomial(n,d))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  43. ^Sloane, N. J. A.(ed.)."Sequence A048102 (Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  44. ^abSloane, N. J. A.(ed.)."Sequence A317712 (Number of uniform rooted trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  45. ^Sloane, N. J. A.(ed.)."Sequence A220881 (Number of nonequivalent dissections of an n-gon into n-3 polygons by nonintersecting diagonals up to rotation)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  46. ^Sloane, N. J. A.(ed.)."Sequence A318868 (a(n) = 1^2 + 3^4 + 5^6 + 7^8 + 9^10 + 11^12 + 13^14 +... + (up to n).)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  47. ^Sloane, N. J. A.(ed.)."Sequence A006879 (Number of primes with n digits.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  48. ^Sloane, N. J. A.(ed.)."Sequence A011260 (Number of primitive polynomials of degree n over GF(2))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  49. ^Sloane, N. J. A.(ed.)."Sequence A127816 (least k such that the remainder when 6^k is divided by k is n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  50. ^Sloane, N. J. A.(ed.)."Sequence A050259 (Numbers n such that 2^n == 3 (mod n))".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  51. ^Sloane, N. J. A.(ed.)."Sequence A115414 (Odd abundant numbers not divisible by 3.)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  52. ^Sloane, N. J. A.(ed.)."Sequence A000055 (Number of trees with n unlabeled nodes)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  53. ^Sloane, N. J. A.(ed.)."Sequence A005165 (Alternating factorials)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  54. ^Sloane, N. J. A.(ed.)."Sequence A004490 (Colossally abundant numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  55. ^Sloane, N. J. A.(ed.)."Sequence A002201 (Superior highly composite numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  56. ^"Reversal-Addition Palindrome Test on 7007009909".July 9, 2021.
  57. ^Sloane, N. J. A.(ed.)."Sequence A000219 (Number of planar partitions (or plane partitions) of n)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  58. ^ab"World Population by Year".January 1, 2017.
  59. ^Sloane, N. J. A.(ed.)."Sequence A085945 (Number of subsets of {1,2,...,n} with relatively prime elements)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  60. ^Sloane, N. J. A.(ed.)."Sequence A000396 (Perfect numbers)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.
  61. ^"Greatest prime number with 10 digits".Wolfram Alpha.Retrieved13 November2017.