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14069710592 = 287312331087
BaseRepresentation
bin11010001101001111…
…01011111100000000
31100022112122100112022
431012213223330000
5212303321214332
610244042421012
71005442365260
oct150647537400
940275570468
1014069710592
115a6aa918a3
122887b01768
131432ba8a52
149768617a0
15575303212
hex3469ebf00

14069710592 has 144 divisors (see below), whose sum is σ = 33304707072. Its totient is φ = 5804974080.

The previous prime is 14069710591. The next prime is 14069710607. The reversal of 14069710592 is 29501796041.

14069710592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140697105922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14069710591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12943073 + ... + 12944159.

It is an arithmetic number, because the mean of its divisors is an integer number (231282688).

Almost surely, 214069710592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14069710592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652353536).

14069710592 is an abundant number, since it is smaller than the sum of its proper divisors (19234996480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14069710592 is a wasteful number, since it uses less digits than its factorization.

14069710592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 14069710592 in words is "fourteen billion, sixty-nine million, seven hundred ten thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 233 248 256 434 448 466 496 868 896 932 992 1087 1631 1736 1792 1864 1984 2174 3262 3472 3728 3968 4348 6524 6944 7223 7456 7609 7936 8696 13048 13888 14446 14912 15218 17392 26096 27776 28892 29824 30436 33697 34784 50561 52192 55552 57784 59648 60872 67394 69568 101122 104384 115568 121744 134788 139136 202244 208768 231136 235879 243488 253271 269576 278272 404488 417536 462272 471758 486976 506542 539152 808976 924544 943516 973952 1013084 1078304 1617952 1772897 1849088 1887032 1947904 2026168 2156608 3235904 3545794 3774064 4052336 4313216 6471808 7091588 7548128 7851401 8104672 8626432 12943616 14183176 15096256 15702802 16209344 28366352 30192512 31405604 32418688 54959807 56732704 60385024 62811208 64837376 109919614 113465408 125622416 219839228 226930816 251244832 439678456 453861632 502489664 879356912 1004979328 1758713824 2009958656 3517427648 7034855296 14069710592