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131424440132140 = 225251157731659809
BaseRepresentation
bin11101111000011110100011…
…000100011010001000101100
3122020100001110012102102201221
4131320132203010122020230
5114211224223133212030
61143303315421313124
736453050100102211
oct3570364304321054
9566301405372657
10131424440132140
113896a879254531
12128a6b2b1057a4
13584436b70b6bc
142464d96653b08
15102d9b8188e7a
hex7787a311a22c

131424440132140 has 48 divisors (see below), whose sum is σ = 277108625676960. Its totient is φ = 52356983552000.

The previous prime is 131424440132119. The next prime is 131424440132159. The reversal of 131424440132140 is 41231044424131.

It is a junction number, because it is equal to n+sod(n) for n = 131424440132096 and 131424440132105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78350556 + ... + 80010364.

It is an arithmetic number, because the mean of its divisors is an integer number (5773096368270).

Almost surely, 2131424440132140 is an apocalyptic number.

131424440132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424440132140 is an abundant number, since it is smaller than the sum of its proper divisors (145684185544820).

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

131424440132140 is a wasteful number, since it uses less digits than its factorization.

131424440132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675842 (or 1675840 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 131424440132140 its reverse (41231044424131), we get a palindrome (172655484556271).

The spelling of 131424440132140 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, four hundred forty million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 251 502 1004 1255 2510 5020 15773 31546 63092 78865 157730 315460 1659809 3319618 3959023 6639236 7918046 8299045 15836092 16598090 19795115 33196180 39590230 79180460 416612059 833224118 1666448236 2083060295 4166120590 8332241180 26180167357 52360334714 104720669428 130900836785 261801673570 523603347140 6571222006607 13142444013214 26284888026428 32856110033035 65712220066070 131424440132140