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131440120524 = 22339771245689
BaseRepresentation
bin111101001101001110…
…0010001001011001100
3110120021021202221121000
41322122130101023030
54123142132324044
6140214401540300
712332131406316
oct1723234211314
9416237687530
10131440120524
115081a580a89
1221583044690
13c51935c95b
14650c8627b6
1536444d0d69
hex1e9a7112cc

131440120524 has 48 divisors (see below), whose sum is σ = 341119749600. Its totient is φ = 43768493568.

The previous prime is 131440120507. The next prime is 131440120541. The reversal of 131440120524 is 425021044131.

131440120524 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 0 + 120 + 524 = 666.

131440120524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131440120507) and next prime (131440120541).

It is a super-3 number, since 3×1314401205243 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517329 + ... + 728360.

It is an arithmetic number, because the mean of its divisors is an integer number (7106661450).

Almost surely, 2131440120524 is an apocalyptic number.

It is an amenable number.

131440120524 is an abundant number, since it is smaller than the sum of its proper divisors (209679629076).

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

131440120524 is a wasteful number, since it uses less digits than its factorization.

131440120524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246679 (or 1246671 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 131440120524 its reverse (425021044131), we get a palindrome (556461164655).

The spelling of 131440120524 in words is "one hundred thirty-one billion, four hundred forty million, one hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 977 1954 2931 3908 5862 8793 11724 17586 26379 35172 52758 105516 1245689 2491378 3737067 4982756 7474134 11211201 14948268 22422402 33633603 44844804 67267206 134534412 1217038153 2434076306 3651114459 4868152612 7302228918 10953343377 14604457836 21906686754 32860030131 43813373508 65720060262 131440120524