1,000,000,000 to 1,999,999,999 •
1,000,000,007 : smallest
prime number with 10 digits. •
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. •
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 •
1,073,741,824 = 327682 = 10243 = 645 = 326 = 810 = 415 = 230 •
1,073,742,724 :
Leyland number using 2 and 30 (230 + 302) •
1,073,792,449 : Leyland number using 4 and 15 (415 + 154) •
1,093,104,961 : number of (unordered, unlabeled) rooted trimmed
trees with 28 nodes •
1,096,671,326 : number of uniform rooted trees with 26 nodes •
1,104,891,746 : number of
partially ordered set with 12 unlabeled elements •
1,111,111,111 :
repunit. •
1,129,760,415 : 23rd
Motzkin number. •
1,134,903,170 : 45th
Fibonacci number. •
1,160,290,625 = 655 •
1,162,261,467 = 319 •
1,162,268,326 : Leyland number using 3 and 19 (319 + 193) •
1,163,962,800 : smallest
superabundant number that is not
highly composite •
1,166,732,814 : number of signed trees with 17 nodes •
1,173,741,824 : Leyland number using 8 and 10 (810 + 108) •
1,220,703,125 = 513 •
1,221,074,418 : Leyland number using 5 and 13 (513 + 135) •
1,252,332,576 = 665 •
1,280,000,000 = 207 •
1,291,467,969 = 359372 = 10893 = 336 •
1,311,738,121 : 25th
Pell number. •
1,350,125,107 = 675 •
1,382,958,545 : 15th
Bell number. •
1,392,251,012 : number of secondary structures of RNA molecules with 27 nucleotides •
1,405,695,061 :
Markov prime. •
1,406,818,759 : 30th
Wedderburn–Etherington number. •
1,421,542,641 : logarithmic number. •
1,453,933,568 = 685 •
1,464,407,113 : number of series-reduced trees with 39 nodes •
1,475,789,056 = 384162 = 1964 = 148 •
1,528,823,808 = 11523 •
1,533,776,805 : both
pentagonal and
triangular. •
1,544,804,416 = 393042 = 11563 = 346 •
1,564,031,349 = 695 •
1,606,879,040 : Dowling number •
1,626,557,542 : Is "QWERTY" in base 36. •
1,631,432,881 = 403912,
square triangular number •
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 •
1,680,700,000 = 705 •
1,755,206,648 : coefficient of a ménage hit polynomial •
1,767,263,190 : The 19th
Catalan number. •
1,787,109,376 : 1-
automorphic number •
1,801,088,541 = 217 •
1,804,229,351 = 715 •
1,808,141,741 : number of partitions of 280 into divisors of 280 •
1,808,676,326 : number of 38-bead necklaces (turning over is allowed) where complements are equivalent •
1,836,311,903 : 46th Fibonacci number. •
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 •
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 •
1,996,813,914 : Leyland number using 7 and 11 (711 + 117)
2,000,000,000 to 2,999,999,999 •
2,023,443,032 : number of trees with 28 unlabeled nodes •
2,038,074,743 : 100,000,000th prime number •
2,062,142,876 : number of centered hydrocarbons with 30 carbon atoms •
2,073,071,593 = 735 •
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 using 2 and 31 (231 + 312) •
2,176,782,336 = 466562 = 12963 = 2164 = 366 = 612 •
2,179,768,320 : Leyland number using 6 and 12 (612 + 126) •
2,214,502,422 : 6th
primary pseudoperfect number. •
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. •
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 •
2,695,730,992 : number of (unordered, unlabeled) rooted trimmed trees with 29 nodes •
2,873,403,980 : number of uniform rooted trees with 27 nodes •
2,887,174,368 = 785 •
2,971,215,073 : 11th
Fibonacci prime (47th Fibonacci number •
3,697,909,056 : number of primitive polynomials of degree 37 over
GF(2) •
3,707,398,432 = 825 •
3,715,891,200 :
double factorial of 20 •
3,735,928,559 = DEADBEEF16; used as a
magic debug value in programming. •
3,735,929,054 = DEADC0DE16; used as a
magic debug value in programming. •
3,939,040,643 = 835
4,000,000,000 to 4,999,999,999 •
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 through F_4. •
4,294,967,296 = 655362 = 2564 = 168 = 416 = 232 •
4,294,967,297 : F_5, the first composite
Fermat number. •
4,294,968,320 : Leyland number using 2 and 32 (232 + 322) •
4,295,032,832 : Leyland number using 4 and 16 (416 + 164) •
4,437,053,125 = 855 •
4,444,444,444 : repdigit •
4,467,033,943 : number of parallelogram polyominoes with 28 cells. •
5,469,566,585 : number of trees with 29 unlabeled nodes •
5,904,900,000 = 905
6,000,000,000 to 6,999,999,999 •
6,103,515,625 = 781252 = 257 = 514 •
6,104,053,449 : Leyland number using 5 and 14 (514 + 145) •
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 : The 20th
Catalan number. 15th
superior highly composite number, and the largest number to be both.
7,000,000,000 to 7,999,999,999 •
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 •
7,395,528,814 : number of series-reduced planted trees with 38 nodes •
8,589,869,056 : 6th
perfect number. •
8,589,934,592 = 20483 = 811 = 233 •
8,589,935,681 :
Leyland prime using 2 and 33 (233 + 332) •
8,622,571,758 : number of secondary structures of RNA molecules with 29 nucleotides •
9,999,999,999 : largest 10-digit number, repdigit ==References==