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131141111231440 = 2451639263890393
BaseRepresentation
bin11101110100010110101011…
…010110011011001111010000
3122012022222010112002222222001
4131310112223112123033100
5114142103443433401230
61142525221135523344
736423426663141562
oct3564265326331720
9565288115088861
10131141111231440
11388706a64a2952
1212860038989554
1358237276c68bb
142455399657332
1510264343850ca
hex7745ab59b3d0

131141111231440 has 20 divisors (see below), whose sum is σ = 304903083613284. Its totient is φ = 52456444492544.

The previous prime is 131141111231423. The next prime is 131141111231497. The reversal of 131141111231440 is 44132111141131.

It can be written as a sum of positive squares in 2 ways, for example, as 53259286026816 + 77881825204624 = 7297896^2 + 8825068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 131141111231399 and 131141111231408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819631945117 + ... + 819631945276.

Almost surely, 2131141111231440 is an apocalyptic number.

131141111231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141111231440 is an abundant number, since it is smaller than the sum of its proper divisors (173761972381844).

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

131141111231440 is a wasteful number, since it uses less digits than its factorization.

131141111231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639263890406 (or 1639263890400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 131141111231440 its reverse (44132111141131), we get a palindrome (175273222372571).

The spelling of 131141111231440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1639263890393 3278527780786 6557055561572 8196319451965 13114111123144 16392638903930 26228222246288 32785277807860 65570555615720 131141111231440