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131514053376405 = 35713932569276671
BaseRepresentation
bin11101111001110010000000…
…011011110011100110010101
3122020122121202111112220201210
4131321302000123303212111
5114214211240131021110
61143412415544212033
736462401562105060
oct3571620033634625
9566577674486653
10131514053376405
11389a4884626287
121290037a46a019
13584c95037881b
1424694580378d7
151030eb05bb520
hex779c806f3995

131514053376405 has 64 divisors (see below), whose sum is σ = 242221245235200. Its totient is φ = 59686138621440.

The previous prime is 131514053376379. The next prime is 131514053376439. The reversal of 131514053376405 is 504673350415131.

It is not a de Polignac number, because 131514053376405 - 26 = 131514053376341 is a prime.

It is a super-2 number, since 2×1315140533764052 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475206220 + ... + 475482890.

It is an arithmetic number, because the mean of its divisors is an integer number (3784706956800).

Almost surely, 2131514053376405 is an apocalyptic number.

131514053376405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131514053376405 is a deficient number, since it is larger than the sum of its proper divisors (110707191858795).

131514053376405 is a wasteful number, since it uses less digits than its factorization.

131514053376405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309394.

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 131514053376405 in words is "one hundred thirty-one trillion, five hundred fourteen billion, fifty-three million, three hundred seventy-six thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 105 139 417 695 973 2085 2919 4865 14595 32569 97707 162845 227983 276671 488535 683949 830013 1139915 1383355 1936697 3419745 4150065 4527091 5810091 9683485 13581273 22635455 29050455 31689637 38457269 67906365 95068911 115371807 158448185 192286345 269200883 475344555 576859035 807602649 1346004415 4038013245 9010897799 27032693397 45054488995 63076284593 135163466985 189228853779 315381422965 946144268895 1252514794061 3757544382183 6262573970305 8767603558427 18787721910915 26302810675281 43838017792135 131514053376405