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131445216081936 = 243683212792
BaseRepresentation
bin11101111000110001111001…
…011010010111100000010000
3122020102001002010001001000000
4131320301321122113200100
5114212044300304110221
61143321033150130000
736454413663544341
oct3570617132274020
9566361063031000
10131445216081936
113897866a788079
12128aab68ab0900
1358462cca98413
142465da7a040c8
15102e2d20cae26
hex778c79697810

131445216081936 has 315 divisors, whose sum is σ = 386796290488239. Its totient is φ = 43253335043136.

The previous prime is 131445216081919. The next prime is 131445216082007. The reversal of 131445216081936 is 639180612544131.

The square root of 131445216081936 is 11464956.

It is a perfect power (a square), and thus also a powerful number.

131445216081936 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 5 + 21 + 608 + 1 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 102771864945 + ... + 102771866223.

Almost surely, 2131445216081936 is an apocalyptic number.

131445216081936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131445216081936 is the 11464956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131445216081936

131445216081936 is an abundant number, since it is smaller than the sum of its proper divisors (255351074406303).

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

131445216081936 is an frugal number, since it uses more digits than its factorization.

131445216081936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 131445216081936 in words is "one hundred thirty-one trillion, four hundred forty-five billion, two hundred sixteen million, eighty-one thousand, nine hundred thirty-six".