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131407038036 = 223212841284261
BaseRepresentation
bin111101001100001111…
…0000100011001010100
3110120011222112011221200
41322120132010121110
54123110200204121
6140211220512500
712331250252031
oct1723036043124
9416158464850
10131407038036
115080293568a
1221573b4b730
13c512548911
1465082d0388
153641648a26
hex1e98784654

131407038036 has 36 divisors (see below), whose sum is σ = 332194826964. Its totient is φ = 43798780800.

The previous prime is 131407038029. The next prime is 131407038071. The reversal of 131407038036 is 630830704131.

It can be written as a sum of positive squares in 2 ways, for example, as 56664945936 + 74742092100 = 238044^2 + 273390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320146 + ... + 604406.

Almost surely, 2131407038036 is an apocalyptic number.

It is an amenable number.

131407038036 is an abundant number, since it is smaller than the sum of its proper divisors (200787788928).

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

131407038036 is a wasteful number, since it uses less digits than its factorization.

131407038036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297112 (or 297107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 131407038036 in words is "one hundred thirty-one billion, four hundred seven million, thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 12841 25682 38523 51364 77046 115569 154092 231138 284261 462276 568522 852783 1137044 1705566 2558349 3411132 5116698 10233396 3650195501 7300391002 10950586503 14600782004 21901173006 32851759509 43802346012 65703519018 131407038036