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131444455301140 = 225171204332101747
BaseRepresentation
bin11101111000110001001100…
…000100001110000000010100
3122020101222010002111100221111
4131320301030010032000110
5114212041221024114030
61143320425452024404
736454356065164462
oct3570611404160024
9566358102440844
10131444455301140
113897830a2a4213
12128aa996162104
13584620b297877
142465d34967832
15102e28a3ee62a
hex778c4c10e014

131444455301140 has 48 divisors (see below), whose sum is σ = 292294890401472. Its totient is φ = 49480860842496.

The previous prime is 131444455301119. The next prime is 131444455301147. The reversal of 131444455301140 is 41103554444131.

It is a junction number, because it is equal to n+sod(n) for n = 131444455301093 and 131444455301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131444455301147) 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, 11956254 + ... + 20145493.

It is an arithmetic number, because the mean of its divisors is an integer number (6089476883364).

Almost surely, 2131444455301140 is an apocalyptic number.

131444455301140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444455301140 is an abundant number, since it is smaller than the sum of its proper divisors (160850435100332).

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

131444455301140 is a wasteful number, since it uses less digits than its factorization.

131444455301140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32113816 (or 32113814 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 131444455301140 in words is "one hundred thirty-one trillion, four hundred forty-four billion, four hundred fifty-five million, three hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 12043 24086 48172 60215 120430 204731 240860 409462 818924 1023655 2047310 4094620 32101747 64203494 128406988 160508735 321017470 545729699 642034940 1091459398 2182918796 2728648495 5457296990 10914593980 386601339121 773202678242 1546405356484 1933006695605 3866013391210 6572222765057 7732026782420 13144445530114 26288891060228 32861113825285 65722227650570 131444455301140