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14152686440 = 23510924113469
BaseRepresentation
bin11010010111001000…
…01101101101101000
31100112022202221222212
431023210031231220
5212441041431230
610300205104252
71010500564334
oct151344155550
940468687885
1014152686440
116002905882
1228ab858088
13144713b799
149838a07c4
1557c743895
hex34b90db68

14152686440 has 64 divisors (see below), whose sum is σ = 32271426000. Its totient is φ = 5585448960.

The previous prime is 14152686397. The next prime is 14152686451. The reversal of 14152686440 is 4468625141.

14152686440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10225658884 + 3927027556 = 101122^2 + 62666^2 .

It is an unprimeable number.

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, 1044026 + ... + 1057494.

Almost surely, 214152686440 is an apocalyptic number.

14152686440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14152686440 is an abundant number, since it is smaller than the sum of its proper divisors (18118739560).

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

14152686440 is a wasteful number, since it uses less digits than its factorization.

14152686440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 14152686440 in words is "fourteen billion, one hundred fifty-two million, six hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 241 436 482 545 872 964 1090 1205 1928 2180 2410 4360 4820 9640 13469 26269 26938 52538 53876 67345 105076 107752 131345 134690 210152 262690 269380 525380 538760 1050760 1468121 2936242 3246029 5872484 6492058 7340605 11744968 12984116 14681210 16230145 25968232 29362420 32460290 58724840 64920580 129841160 353817161 707634322 1415268644 1769085805 2830537288 3538171610 7076343220 14152686440