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131145135210544 = 2471390072208249
BaseRepresentation
bin11101110100011010011011…
…001100101100000000110000
3122012100100111221221022120011
4131310122123030230000300
5114142140214103214134
61142531124323424304
736423631464326230
oct3564323314540060
9565310457838504
10131145135210544
1138872380974a14
1212860980525094
135823c19292920
14245565bc4dcc0
1510265bc795264
hex77469b32c030

131145135210544 has 40 divisors (see below), whose sum is σ = 312730707044000. Its totient is φ = 51881591950848.

The previous prime is 131145135210527. The next prime is 131145135210629. The reversal of 131145135210544 is 445012531541131.

It is a junction number, because it is equal to n+sod(n) for n = 131145135210497 and 131145135210506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45036102669 + ... + 45036105580.

It is an arithmetic number, because the mean of its divisors is an integer number (7818267676100).

Almost surely, 2131145135210544 is an apocalyptic number.

131145135210544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131145135210544 is an abundant number, since it is smaller than the sum of its proper divisors (181585571833456).

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

131145135210544 is a wasteful number, since it uses less digits than its factorization.

131145135210544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90072208277 (or 90072208271 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 131145135210544 its reverse (445012531541131), we get a palindrome (576157666751675).

The spelling of 131145135210544 in words is "one hundred thirty-one trillion, one hundred forty-five billion, one hundred thirty-five million, two hundred ten thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 90072208249 180144416498 360288832996 630505457743 720577665992 1170938707237 1261010915486 1441155331984 2341877414474 2522021830972 4683754828948 5044043661944 8196570950659 9367509657896 10088087323888 16393141901318 18735019315792 32786283802636 65572567605272 131145135210544