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131907142413 = 3330731914987
BaseRepresentation
bin111101011011001000…
…1110100001100001101
3110121110211120010012000
41322312101310030031
54130121212024123
6140333003502513
712346532132214
oct1726621641415
9417424503160
10131907142413
1150a3a163492
1221693527a39
13c592039377
1465548b207b
1536704d2b43
hex1eb647430d

131907142413 has 32 divisors (see below), whose sum is σ = 196155294720. Its totient is φ = 87606612720.

The previous prime is 131907142403. The next prime is 131907142417. The reversal of 131907142413 is 314241709131.

It is a happy number.

131907142413 is a `hidden beast` number, since 13 + 1 + 90 + 7 + 142 + 413 = 666.

It is not a de Polignac number, because 131907142413 - 24 = 131907142397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131907142417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26447706 + ... + 26452692.

It is an arithmetic number, because the mean of its divisors is an integer number (6129852960).

Almost surely, 2131907142413 is an apocalyptic number.

It is an amenable number.

131907142413 is a deficient number, since it is larger than the sum of its proper divisors (64248152307).

131907142413 is a wasteful number, since it uses less digits than its factorization.

131907142413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 131907142413 in words is "one hundred thirty-one billion, nine hundred seven million, one hundred forty-two thousand, four hundred thirteen".

Divisors: 1 3 9 27 307 921 2763 3191 4987 8289 9573 14961 28719 44883 86157 134649 979637 1531009 2938911 4593027 8816733 13779081 15913517 26450199 41337243 47740551 143221653 429664959 4885449719 14656349157 43969047471 131907142413