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131142103340958 = 2339725036674941
BaseRepresentation
bin11101110100010111100110…
…011111000001011110011110
3122012100001200122221101101000
4131310113212133001132132
5114142113011423402313
61142525503420131130
736423463401010263
oct3564274637013636
9565301618841330
10131142103340958
1138871065517476
1212860275096aa6
135823855100458
14245545130d26a
151026491508673
hex7745e67c179e

131142103340958 has 32 divisors (see below), whose sum is σ = 294431297317920. Its totient is φ = 43263374296320.

The previous prime is 131142103340921. The next prime is 131142103340959. The reversal of 131142103340958 is 859043301241131.

131142103340958 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 210 + 3 + 340 + 95 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142103340959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12518332233 + ... + 12518342708.

It is an arithmetic number, because the mean of its divisors is an integer number (9200978041185).

Almost surely, 2131142103340958 is an apocalyptic number.

131142103340958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131142103340958 is an abundant number, since it is smaller than the sum of its proper divisors (163289193976962).

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

131142103340958 is a wasteful number, since it uses less digits than its factorization.

131142103340958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25036675049 (or 25036675043 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 131142103340958 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred forty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 25036674941 50073349882 75110024823 150220049646 225330074469 450660148938 675990223407 1351980446814 2428557469277 4857114938554 7285672407831 14571344815662 21857017223493 43714034446986 65571051670479 131142103340958