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131407237716 = 22346723448829
BaseRepresentation
bin111101001100001111…
…0110101001001010100
3110120011222220022212020
41322120132311021110
54123110223101331
6140211225053140
712331252043136
oct1723036651124
9416158808766
10131407237716
1150802a61707
12215740271b0
13c5125b8781
146508343056
153641687c96
hex1e987b5254

131407237716 has 24 divisors (see below), whose sum is σ = 307273468320. Its totient is φ = 43708615392.

The previous prime is 131407237699. The next prime is 131407237763. The reversal of 131407237716 is 617732704131.

It is a super-4 number, since 4×1314072377164 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11718811 + ... + 11730018.

It is an arithmetic number, because the mean of its divisors is an integer number (12803061180).

Almost surely, 2131407237716 is an apocalyptic number.

It is an amenable number.

131407237716 is an abundant number, since it is smaller than the sum of its proper divisors (175866230604).

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

131407237716 is a wasteful number, since it uses less digits than its factorization.

131407237716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23449303 (or 23449301 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 131407237716 in words is "one hundred thirty-one billion, four hundred seven million, two hundred thirty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 467 934 1401 1868 2802 5604 23448829 46897658 70346487 93795316 140692974 281385948 10950603143 21901206286 32851809429 43802412572 65703618858 131407237716