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131377444 = 221125212
BaseRepresentation
bin1111101010010…
…10100100100100
3100011012122222021
413311022210210
5232113034234
621011512524
73153455422
oct765124444
9304178867
10131377444
1168182900
1237bb8744
13212ab743
141363c112
15b8019b4
hex7d4a924

131377444 has 27 divisors (see below), whose sum is σ = 253197553. Its totient is φ = 59602400.

The previous prime is 131377429. The next prime is 131377501. The reversal of 131377444 is 444773131.

The square root of 131377444 is 11462.

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

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 93702400 = 6138^2 + 9680^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 251904 + ... + 252424.

Almost surely, 2131377444 is an apocalyptic number.

131377444 is the 11462-nd square number.

It is an amenable number.

131377444 is a deficient number, since it is larger than the sum of its proper divisors (121820109).

131377444 is an equidigital number, since it uses as much as digits as its factorization.

131377444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 534 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The cubic root of 131377444 is about 508.3626123301.

Multiplying 131377444 by its product of digits (28224), we get a square (3707996979456 = 19256162).

The spelling of 131377444 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 121 242 484 521 1042 2084 5731 11462 22924 63041 126082 252164 271441 542882 1085764 2985851 5971702 11943404 32844361 65688722 131377444