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131141340232320 = 2735116209343761
BaseRepresentation
bin11101110100010110111000…
…111111111111101010000000
3122012022222201111000110010010
4131310112320333333222000
5114142104431044413240
61142525300000104520
736423435443463615
oct3564267077775200
9565288644013103
10131141340232320
1138870803793680
12128600a1605140
135823762c96192
1424553bbc2850c
15102644951c280
hex7745b8fffa80

131141340232320 has 128 divisors (see below), whose sum is σ = 456014205881280. Its totient is φ = 31791840051200.

The previous prime is 131141340232241. The next prime is 131141340232321. The reversal of 131141340232320 is 23232043141131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1311413402323202 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131141340232321) 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, 3104650761 + ... + 3104693000.

Almost surely, 2131141340232320 is an apocalyptic number.

131141340232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340232320 is an abundant number, since it is smaller than the sum of its proper divisors (324872865648960).

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

131141340232320 is a wasteful number, since it uses less digits than its factorization.

131141340232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209343794 (or 6209343782 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131141340232320 its reverse (23232043141131), we get a palindrome (154373383373451).

The spelling of 131141340232320 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 6209343761 12418687522 18628031283 24837375044 31046718805 37256062566 49674750088 62093437610 68302781371 74512125132 93140156415 99349500176 124186875220 136605562742 149024250264 186280312830 198699000352 204908344113 248373750440 273211125484 298048500528 341513906855 372560625660 397398000704 409816688226 496747500880 546422250968 596097001056 683027813710 745121251320 794796001408 819633376452 993495001760 1024541720565 1092844501936 1192194002112 1366055627420 1490242502640 1639266752904 1986990003520 2049083441130 2185689003872 2384388004224 2732111254840 2980485005280 3278533505808 3973980007040 4098166882260 4371378007744 5464222509680 5960970010560 6557067011616 8196333764520 8742756015488 10928445019360 11921940021120 13114134023232 16392667529040 21856890038720 26228268046464 32785335058080 43713780077440 65570670116160 131141340232320