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131342430200976 = 2433304033403243
BaseRepresentation
bin11101110111010010001010…
…111001010110010010010000
3122020001012202210021021112000
4131313102022321112102100
5114203403244112412401
61143201513544034000
736444114601144041
oct3567221271262220
9566035683237460
10131342430200976
1138939014838415
1212893062162900
1358396cc063107
1424610169968c8
15102b7b84e5186
hex77748ae56490

131342430200976 has 40 divisors (see below), whose sum is σ = 377001420022560. Its totient is φ = 43780810066848.

The previous prime is 131342430200857. The next prime is 131342430200977. The reversal of 131342430200976 is 679002034243131.

131342430200976 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 430 + 200 + 9 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (131342430200977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152016701190 + ... + 152016702053.

It is an arithmetic number, because the mean of its divisors is an integer number (9425035500564).

Almost surely, 2131342430200976 is an apocalyptic number.

131342430200976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131342430200976 is an abundant number, since it is smaller than the sum of its proper divisors (245658989821584).

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

131342430200976 is a wasteful number, since it uses less digits than its factorization.

131342430200976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304033403260 (or 304033403248 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 131342430200976 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred thirty million, two hundred thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 304033403243 608066806486 912100209729 1216133612972 1824200419458 2432267225944 2736300629187 3648400838916 4864534451888 5472601258374 7296801677832 8208901887561 10945202516748 14593603355664 16417803775122 21890405033496 32835607550244 43780810066992 65671215100488 131342430200976