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131141341041440 = 255819633381509
BaseRepresentation
bin11101110100010110111001…
…000011000101001100100000
3122012022222201112112120000112
4131310112321003011030200
5114142104431301311230
61142525300025310452
736423435453403562
oct3564267103051440
9565288645476015
10131141341041440
1138870804196574
12128600a1935428
1358237631ba552
1424553bbd99332
15102644962bd95
hex7745b90c5320

131141341041440 has 24 divisors (see below), whose sum is σ = 309821418210780. Its totient is φ = 52456536416512.

The previous prime is 131141341041397. The next prime is 131141341041479. The reversal of 131141341041440 is 44140143141131.

It can be written as a sum of positive squares in 2 ways, for example, as 128804613020944 + 2336728020496 = 11349212^2 + 1528636^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131141341041397 and 131141341041406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409816690595 + ... + 409816690914.

Almost surely, 2131141341041440 is an apocalyptic number.

131141341041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141341041440 is an abundant number, since it is smaller than the sum of its proper divisors (178680077169340).

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

131141341041440 is an equidigital number, since it uses as much as digits as its factorization.

131141341041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819633381524 (or 819633381516 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 131141341041440 its reverse (44140143141131), we get a palindrome (175281484182571).

The spelling of 131141341041440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-one million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 819633381509 1639266763018 3278533526036 4098166907545 6557067052072 8196333815090 13114134104144 16392667630180 26228268208288 32785335260360 65570670520720 131141341041440