Search a number
-
+
131513525045442 = 23229470779535159
BaseRepresentation
bin11101111001110001100000…
…111100011000100011000010
3122020122120101200101220220100
4131321301200330120203002
5114214204144402423232
61143412251312223230
736462352515263421
oct3571614074304302
9566576350356810
10131513525045442
11389a4633379421
121290025153ab16
13584c897a84357
142469407bc92b8
151030e7e008c7c
hex779c60f188c2

131513525045442 has 48 divisors (see below), whose sum is σ = 294772871016000. Its totient is φ = 42326022971232.

The previous prime is 131513525045437. The next prime is 131513525045521. The reversal of 131513525045442 is 244540525315131.

131513525045442 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 3 + 52 + 50 + 4 + 544 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245479059 + ... + 246014217.

It is an arithmetic number, because the mean of its divisors is an integer number (6141101479500).

Almost surely, 2131513525045442 is an apocalyptic number.

131513525045442 is an abundant number, since it is smaller than the sum of its proper divisors (163259345970558).

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

131513525045442 is a wasteful number, since it uses less digits than its factorization.

131513525045442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005975 (or 1005972 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 131513525045442 in words is "one hundred thirty-one trillion, five hundred thirteen billion, five hundred twenty-five million, forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 470779 535159 941558 1070318 1412337 1605477 2824674 3210954 4237011 4816431 8474022 9632862 13652591 15519611 27305182 31039222 40957773 46558833 81915546 93117666 122873319 139676499 245746638 279352998 251941618861 503883237722 755824856583 1511649713166 2267474569749 4534949139498 7306306946969 14612613893938 21918920840907 43837841681814 65756762522721 131513525045442