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131410087976 = 23293183220141
BaseRepresentation
bin111101001100010100…
…1101101000000101000
3110120012012021010200102
41322120221231000220
54123111440303401
6140211410124532
712331315214006
oct1723051550050
9416165233612
10131410087976
11508046290a2
1221574b80748
13c513075c0b
146508885a76
153641a4c56b
hex1e98a6d028

131410087976 has 64 divisors (see below), whose sum is σ = 266283763200. Its totient is φ = 60652972800.

The previous prime is 131410087967. The next prime is 131410087981. The reversal of 131410087976 is 679780014131.

It is a super-2 number, since 2×1314100879762 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131410087976.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486866 + ... + 707006.

It is an arithmetic number, because the mean of its divisors is an integer number (4160683800).

Almost surely, 2131410087976 is an apocalyptic number.

It is an amenable number.

131410087976 is an abundant number, since it is smaller than the sum of its proper divisors (134873675224).

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

131410087976 is a wasteful number, since it uses less digits than its factorization.

131410087976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220290 (or 220286 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 131410087976 in words is "one hundred thirty-one billion, four hundred ten million, eighty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 29 31 58 62 83 116 124 166 232 248 332 664 899 1798 2407 2573 3596 4814 5146 7192 9628 10292 19256 20584 74617 149234 220141 298468 440282 596936 880564 1761128 6384089 6824371 12768178 13648742 18271703 25536356 27297484 36543406 51072712 54594968 73086812 146173624 197906759 395813518 529879387 566422793 791627036 1059758774 1132845586 1583254072 2119517548 2265691172 4239035096 4531382344 16426260997 32852521994 65705043988 131410087976