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13140971168 = 2513171858169
BaseRepresentation
bin11000011110100001…
…10100111010100000
31020220211001111112212
430033100310322200
5203403042034133
610011544341252
7643434261203
oct141720647240
936824044485
1013140971168
115633810156
122668a74828
13131565c0b0
148c938393a
1551d9eb148
hex30f434ea0

13140971168 has 48 divisors (see below), whose sum is σ = 29500306920. Its totient is φ = 5708292096.

The previous prime is 13140971143. The next prime is 13140971189. The reversal of 13140971168 is 86117904131.

It can be written as a sum of positive squares in 4 ways, for example, as 13090105744 + 50865424 = 114412^2 + 7132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922013 + ... + 936156.

Almost surely, 213140971168 is an apocalyptic number.

It is an amenable number.

13140971168 is an abundant number, since it is smaller than the sum of its proper divisors (16359335752).

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

13140971168 is a wasteful number, since it uses less digits than its factorization.

13140971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858209 (or 1858201 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 13140971168 in words is "thirteen billion, one hundred forty million, nine hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 1858169 3716338 7432676 14865352 24156197 29730704 31588873 48312394 59461408 63177746 96624788 126355492 193249576 252710984 386499152 410655349 505421968 772998304 821310698 1010843936 1642621396 3285242792 6570485584 13140971168