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131143442411304 = 2334490941226697
BaseRepresentation
bin11101110100011000110110…
…010011001010111100101000
3122012100012010222122012120000
4131310120312103022330220
5114142123232224130204
61142530244333103000
736423541520634411
oct3564306623127450
9565305128565500
10131143442411304
113887169237a884
1212860589627a60
135823a09667a7b
14245553b0c0808
15102651dd65039
hex7746364caf28

131143442411304 has 80 divisors (see below), whose sum is σ = 367397903231700. Its totient is φ = 43705574777088.

The previous prime is 131143442411173. The next prime is 131143442411321. The reversal of 131143442411304 is 403114244341131.

131143442411304 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 344 + 2 + 4 + 1 + 1 + 304 = 666.

131143442411304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 127103752440900 + 4039689970404 = 11274030^2 + 2009898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17432317 + ... + 23794380.

Almost surely, 2131143442411304 is an apocalyptic number.

It is an amenable number.

131143442411304 is an abundant number, since it is smaller than the sum of its proper divisors (236254460820396).

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

131143442411304 is a wasteful number, since it uses less digits than its factorization.

131143442411304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41231624 (or 41231611 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 131143442411304 its reverse (403114244341131), we get a palindrome (534257686752435).

The spelling of 131143442411304 in words is "one hundred thirty-one trillion, one hundred forty-three billion, four hundred forty-two million, four hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4909 9818 14727 19636 29454 39272 44181 58908 88362 117816 132543 176724 265086 353448 397629 530172 795258 1060344 1590516 3181032 41226697 82453394 123680091 164906788 247360182 329813576 371040273 494720364 742080546 989440728 1113120819 1484161092 2226241638 2968322184 3339362457 4452483276 6678724914 8904966552 13357449828 26714899656 202381855573 404763711146 607145566719 809527422292 1214291133438 1619054844584 1821436700157 2428582266876 3642873400314 4857164533752 5464310100471 7285746800628 10928620200942 14571493601256 16392930301413 21857240401884 32785860602826 43714480803768 65571721205652 131143442411304