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14157128592 = 2433291130039
BaseRepresentation
bin11010010111101010…
…01010001110010000
31100112122010122111000
431023311022032100
5212443211103332
610300444222000
71010553415245
oct151365121620
940478118430
1014157128592
11600536a282
1228b123a900
131448035689
149842d95cc
1557cd1eb7c
hex34bd4a390

14157128592 has 80 divisors (see below), whose sum is σ = 42037488000. Its totient is φ = 4556313216.

The previous prime is 14157128543. The next prime is 14157128593. The reversal of 14157128592 is 29582175141.

14157128592 is a `hidden beast` number, since 1 + 4 + 1 + 57 + 1 + 2 + 8 + 592 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14157128593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552492 + ... + 577547.

It is an arithmetic number, because the mean of its divisors is an integer number (525468600).

Almost surely, 214157128592 is an apocalyptic number.

14157128592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14157128592 is an abundant number, since it is smaller than the sum of its proper divisors (27880359408).

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

14157128592 is a wasteful number, since it uses less digits than its factorization.

14157128592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130085 (or 1130073 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 14157128592 in words is "fourteen billion, one hundred fifty-seven million, one hundred twenty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 1130039 2260078 3390117 4520156 6780234 9040312 10170351 13560468 18080624 20340702 27120936 30511053 32771131 40681404 54241872 61022106 65542262 81362808 98313393 122044212 131084524 162725616 196626786 244088424 262169048 294940179 393253572 488176848 524338096 589880358 786507144 884820537 1179760716 1573014288 1769641074 2359521432 3539282148 4719042864 7078564296 14157128592