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131445366256 = 24172213218371
BaseRepresentation
bin111101001101011000…
…0010001110111110000
3110120021122122110101101
41322122300101313300
54123200003210011
6140215110214144
712332224115101
oct1723260216760
9416248573341
10131445366256
11508225341a6
1221584954354
13c51a478539
14650d42a3a8
153644bba2c1
hex1e9ac11df0

131445366256 has 40 divisors (see below), whose sum is σ = 269779389264. Its totient is φ = 61828408320.

The previous prime is 131445366253. The next prime is 131445366271. The reversal of 131445366256 is 652663544131.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131445366253) 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 7 ways as a sum of consecutive naturals, for example, 492751 + ... + 711121.

Almost surely, 2131445366256 is an apocalyptic number.

131445366256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131445366256 is an abundant number, since it is smaller than the sum of its proper divisors (138334023008).

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

131445366256 is a wasteful number, since it uses less digits than its factorization.

131445366256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220609 (or 220603 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 46.

The spelling of 131445366256 in words is "one hundred thirty-one billion, four hundred forty-five million, three hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 2213 4426 8852 17704 35408 37621 75242 150484 218371 300968 436742 601936 873484 1746968 3493936 3712307 7424614 14849228 29698456 59396912 483255023 966510046 1933020092 3866040184 7732080368 8215335391 16430670782 32861341564 65722683128 131445366256