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13696131240 = 233751143331
BaseRepresentation
bin11001100000101101…
…00110000010101000
31022100111200120000000
430300112212002220
5211022202144430
610143015343000
7663255123531
oct146026460250
938314616000
1013696131240
115899122130
1227a2981a60
1313a368818c
1493cdb7688
1555260ce60
hex3305a60a8

13696131240 has 512 divisors, whose sum is σ = 51747379200. Its totient is φ = 3233260800.

The previous prime is 13696131227. The next prime is 13696131259. The reversal of 13696131240 is 4213169631.

13696131240 is a `hidden beast` number, since 1 + 36 + 9 + 613 + 1 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13696131195 and 13696131204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41377875 + ... + 41378205.

It is an arithmetic number, because the mean of its divisors is an integer number (101069100).

Almost surely, 213696131240 is an apocalyptic number.

13696131240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13696131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873689600).

13696131240 is an abundant number, since it is smaller than the sum of its proper divisors (38051247960).

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

13696131240 is a wasteful number, since it uses less digits than its factorization.

13696131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13696131240 in words is "thirteen billion, six hundred ninety-six million, one hundred thirty-one thousand, two hundred forty".