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131141324014140 = 223511246718053949
BaseRepresentation
bin11101110100010110111000…
…000010001000001000111100
3122012022222200100111110221210
4131310112320002020020330
5114142104412421423030
61142525254220324420
736423435155565366
oct3564267002101074
9565288610443853
10131141324014140
11388707a5616720
12128600980a3710
13582375c80821b
1424553b9a05d36
151026447db6bb0
hex7745b808823c

131141324014140 has 96 divisors (see below), whose sum is σ = 400593421670400. Its totient is φ = 31790543545600.

The previous prime is 131141324014123. The next prime is 131141324014157. The reversal of 131141324014140 is 41410423141131.

It is an interprime number because it is at equal distance from previous prime (131141324014123) and next prime (131141324014157).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131141324014098 and 131141324014107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12255886 + ... + 20309834.

It is an arithmetic number, because the mean of its divisors is an integer number (4172848142400).

Almost surely, 2131141324014140 is an apocalyptic number.

131141324014140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324014140 is an abundant number, since it is smaller than the sum of its proper divisors (269452097656260).

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

131141324014140 is a wasteful number, since it uses less digits than its factorization.

131141324014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078643 (or 8078641 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131141324014140 its reverse (41410423141131), we get a palindrome (172551747155271).

The spelling of 131141324014140 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 24671 49342 74013 98684 123355 148026 246710 271381 296052 370065 493420 542762 740130 814143 1085524 1356905 1480260 1628286 2713810 3256572 4070715 5427620 8053949 8141430 16107898 16282860 24161847 32215796 40269745 48323694 80539490 88593439 96647388 120809235 161078980 177186878 241618470 265780317 354373756 442967195 483236940 531560634 885934390 1063121268 1328901585 1771868780 2657803170 5315606340 198698975779 397397951558 596096927337 794795903116 993494878895 1192193854674 1986989757790 2185688733569 2384387709348 2980484636685 3973979515580 4371377467138 5960969273370 6557066200707 8742754934276 10928443667845 11921938546740 13114132401414 21856887335690 26228264802828 32785331003535 43713774671380 65570662007070 131141324014140