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131332525444141 = 734731672572363
BaseRepresentation
bin11101110111001000111100…
…100001101100110000101101
3122020000021012111201111110021
4131313020330201230300231
5114203223003003203031
61143153155042442141
736443314261123000
oct3567107441546055
9566007174644407
10131332525444141
11389348a1865a6a
1212891159063351
1358387b1012258
142460757347537
15102b3d8b9c511
hex77723c86cc2d

131332525444141 has 32 divisors (see below), whose sum is σ = 156465583718400. Its totient is φ = 110140782596208.

The previous prime is 131332525444103. The next prime is 131332525444147. The reversal of 131332525444141 is 141444525233131.

It is not a de Polignac number, because 131332525444141 - 27 = 131332525444013 is a prime.

It is a super-2 number, since 2×1313325254441412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332525444147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49769026 + ... + 52341388.

It is an arithmetic number, because the mean of its divisors is an integer number (4889549491200).

Almost surely, 2131332525444141 is an apocalyptic number.

It is an amenable number.

131332525444141 is a deficient number, since it is larger than the sum of its proper divisors (25133058274259).

131332525444141 is an equidigital number, since it uses as much as digits as its factorization.

131332525444141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575598 (or 2575584 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 131332525444141 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, five hundred twenty-five million, four hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 47 49 329 343 2303 3167 16121 22169 148849 155183 1041943 1086281 2572363 7293601 18006541 51055207 120901061 126045787 846307427 882320509 5924151989 8146673621 41469063923 57026715347 382893660187 399187007429 2680255621309 2794309052003 18761789349163 131332525444141