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131142344403204 = 22323642842900089
BaseRepresentation
bin11101110100010111110100…
…110110100110100100000100
3122012100002022110112121121100
4131310113310312212210010
5114142114010131400304
61142525543351020100
736423502356005541
oct3564276466464404
9565302273477540
10131142344403204
11388711795a6072
121286032196a630
135823893033934
14245547533dbc8
1510264a7774439
hex7745f4da6904

131142344403204 has 18 divisors (see below), whose sum is σ = 331498703908190. Its totient is φ = 43714114801056.

The previous prime is 131142344403157. The next prime is 131142344403209. The reversal of 131142344403204 is 402304443241131.

131142344403204 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 2 + 3 + 4 + 440 + 3 + 204 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67850804865600 + 63291539537604 = 8237160^2 + 7955598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3642842900089 = 131142344403204 / (1 + 3 + 1 + 1 + 4 + 2 + 3 + 4 + 4 + 4 + 0 + 3 + 2 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (131142344403209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1821421450009 + ... + 1821421450080.

Almost surely, 2131142344403204 is an apocalyptic number.

It is an amenable number.

131142344403204 is an abundant number, since it is smaller than the sum of its proper divisors (200356359504986).

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

131142344403204 is a wasteful number, since it uses less digits than its factorization.

131142344403204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642842900099 (or 3642842900094 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131142344403204 its reverse (402304443241131), we get a palindrome (533446787644335).

The spelling of 131142344403204 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred forty-four million, four hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 3642842900089 7285685800178 10928528700267 14571371600356 21857057400534 32785586100801 43714114801068 65571172201602 131142344403204