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131410214112296 = 23767263793316787
BaseRepresentation
bin11101111000010001010011…
…001000011100110000101000
3122020021200201202122202020002
4131320101103020130300220
5114211011104303043141
61143253004032322132
736452034415655540
oct3570212310346050
9566250652582202
10131410214112296
1138964839011239
12128a421a9a3348
135842c12335092
142464407144320
15102d4342abe9b
hex77845321cc28

131410214112296 has 128 divisors (see below), whose sum is σ = 286936133806080. Its totient is φ = 55256884252416.

The previous prime is 131410214112251. The next prime is 131410214112349. The reversal of 131410214112296 is 692211412014131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7828085615 + ... + 7828102401.

It is an arithmetic number, because the mean of its divisors is an integer number (2241688545360).

Almost surely, 2131410214112296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131410214112296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143468066903040).

131410214112296 is an abundant number, since it is smaller than the sum of its proper divisors (155525919693784).

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

131410214112296 is a wasteful number, since it uses less digits than its factorization.

131410214112296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25063 (or 25059 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 131410214112296 in words is "one hundred thirty-one trillion, four hundred ten billion, two hundred fourteen million, one hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 67 134 263 268 469 526 536 938 1052 1841 1876 2104 3682 3752 7364 7933 14728 15866 16787 17621 31732 33574 35242 55531 63464 67148 70484 111062 117509 123347 134296 140968 222124 235018 246694 444248 470036 493388 531511 940072 986776 1063022 1124729 2086379 2126044 2249458 3720577 4172758 4252088 4414981 4498916 7441154 7873103 8345516 8829962 8997832 14604653 14882308 15746206 16691032 17659924 29209306 29764616 30904867 31492412 35319848 58418612 61809734 62984824 116837224 123619468 133171271 139787393 247238936 266342542 279574786 295803727 532685084 559149572 591607454 932198897 978511751 1065370168 1118299144 1183214908 1864397794 1957023502 2070626089 2366429816 3728795588 3914047004 4141252178 7457591176 7828094008 8282504356 8922475157 16565008712 17844950314 35024044273 35689900628 62457326099 70048088546 71379801256 124914652198 140096177092 245168309911 249829304396 280192354184 490336619822 499658608792 980673239644 1961346479288 2346610966291 4693221932582 9386443865164 16426276764037 18772887730328 32852553528074 65705107056148 131410214112296