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131144992 = 25111919609
BaseRepresentation
bin1111101000100…
…01110100100000
3100010202212002221
413310101310200
5232033114432
621002520424
73151466626
oct764216440
9303685087
10131144992
11680341a0
1237b06114
13212299b4
14135bb516
15b7a7b97
hex7d11d20

131144992 has 48 divisors (see below), whose sum is σ = 296503200. Its totient is φ = 56471040.

The previous prime is 131144963. The next prime is 131145029. The reversal of 131144992 is 299441131.

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, 3117 + ... + 16492.

It is an arithmetic number, because the mean of its divisors is an integer number (6177150).

Almost surely, 2131144992 is an apocalyptic number.

It is an amenable number.

131144992 is an abundant number, since it is smaller than the sum of its proper divisors (165358208).

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

131144992 is a wasteful number, since it uses less digits than its factorization.

131144992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19649 (or 19641 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 131144992 is about 11451.8553955243. The cubic root of 131144992 is about 508.0626124078.

The spelling of 131144992 in words is "one hundred thirty-one million, one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 19609 39218 78436 156872 215699 313744 372571 431398 627488 745142 862796 1490284 1725592 2980568 3451184 4098281 5961136 6902368 8196562 11922272 16393124 32786248 65572496 131144992