1,000,000,000 (one billion , short scale ; one thousand million or one milliard, one yard,[1 ] long scale ) is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b , bil [citation needed ] or bn .[2 ] [3 ]
1,000,000,001 to 1,999,999,999
edit
1,000,000,007 : smallest prime number with 10 digits.[10 ]
1,000,006,281 : smallest triangular number with 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 pandigital square in 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 of partially ordered set with 12 unlabeled elements[14 ]
1,111,111,111 : repunit , also a special number relating to the passing of Unix time .
1,129,760,415 = 23rd Motzkin number .[15 ]
1,134,903,170 = 45th Fibonacci 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 : 25th Pell number .[18 ]
1,350,125,107 = 675
1,382,958,545 : 15th Bell 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 : 30th Wedderburn–Etherington number .[21 ]
1,421,542,641 : logarithmic number.[22 ]
1,425,893,465 = Population of the People's Republic of China in 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 of independent vertex sets and vertex covers in 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 (3 n + 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 =
C
(
19
)
=
(
2
×
19
19
)
19
+
1
=
(
2
×
19
)
!
19
!
×
(
19
+
1
)
!
{\displaystyle C(19 )={\frac {\binom {2\times 19}{19}}{19+1}}={\frac {(2\times 19)!}{19!\times (19+1)!}}}
[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 a square 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 : largest right-truncatable prime in 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 of 40,014 modulo 2,147,483,563
2,147,483,563 = prime number, used as the modulus for the combined linear congruential generator
2,147,483,647 = 8th Mersenne prime , 3rd double Mersenne prime , and the largest signed 32-bit integer.
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 = 6th primary 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 =
∑
d
|
34
(
34
d
)
{\displaystyle \sum _{d|34}{\binom {34}{d}}}
[42 ]
2,357,947,691 = 13313 = 119
2,373,046,875 = 755
2,494,357,888 = 227
2,521,008,887 = 4th Mills' 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 = hexadecimal CAFEBABE ; used as a placeholder in programming.
3,405,697,037 = hexadecimal CAFED00D ; 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; smallest Proth prime for 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 = hexadecimal DEADBEEF ; used as a placeholder in programming.
3,735,929,054 = hexadecimal DEADC0DE ; 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 of independent vertex sets and vertex covers in the 22-sunlet graph [26 ]
4,021,227,877 = least k >= 1 such that the remainder when 6k is 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 known Fermat primes
F
0
{\displaystyle F_{0}}
through
F
4
{\displaystyle F_{4}}
.
4,294,967,296 = 655362 = 2564 = 168 = 416 = 232
4,294,967,297 =
F
5
{\displaystyle F_{5}}
, the first composite Fermat 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 number n > 1 such that 2n is congruent to 3 (mod n )[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 = 1,000,000,00012 AKA a great-great-great-gross (1,000,00012 great-grosses or 100012 great-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 odd abundant number not 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 = 13th alternating 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 = only self-descriptive number in base 10.
6,227,020,800 = 13!
6,240,321,451 = 915
6,321,363,049 = 795072 = 18493 = 436
6,469,693,230 = tenth primorial
6,564,120,420 =
C
(
20
)
=
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2
×
20
20
)
20
+
1
=
(
2
×
20
)
!
20
!
×
(
20
+
1
)
!
{\displaystyle C(20 )={\frac {\binom {2\times 20}{20}}{20+1}}={\frac {(2\times 20)!}{20!\times (20+1)!}}}
, where
C
(
n
)
{\displaystyle C(n )}
is the
n
{\displaystyle n}
th Catalan 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 = 15th colossally abundant number ,[54 ] 15th superior 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 in 2016 according 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 in 2020 according 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 number with 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 = 6th perfect 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 = 25th Motzkin 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 largest pandigital 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