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1312141034096 = 244159140924061
BaseRepresentation
bin10011000110000001101…
…100110100001001110000
311122102212100211212222122
4103012001230310021300
5132444231101042341
62442442252053412
7163541035523264
oct23060154641160
94572770755878
101312141034096
11466526451872
12192375464268
139697153bb99
1447717bda0a4
15241e9c5394b
hex13181b34270

1312141034096 has 80 divisors (see below), whose sum is σ = 2650410050400. Its totient is φ = 628747468800.

The previous prime is 1312141034089. The next prime is 1312141034107. The reversal of 1312141034096 is 6904301412131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54521906 + ... + 54545966.

It is an arithmetic number, because the mean of its divisors is an integer number (33130125630).

Almost surely, 21312141034096 is an apocalyptic number.

1312141034096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1312141034096 is an abundant number, since it is smaller than the sum of its proper divisors (1338269016304).

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

1312141034096 is a wasteful number, since it uses less digits than its factorization.

1312141034096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25578 (or 25572 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 1312141034096 in words is "one trillion, three hundred twelve billion, one hundred forty-one million, thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 41 59 82 118 164 236 328 472 656 944 1409 2419 2818 4838 5636 9676 11272 19352 22544 24061 38704 48122 57769 83131 96244 115538 166262 192488 231076 332524 384976 462152 665048 924304 986501 1330096 1419599 1973002 2839198 3408371 3946004 5678396 6816742 7892008 11356792 13633484 15784016 22713584 27266968 33901949 54533936 58203559 67803898 116407118 135607796 232814236 271215592 465628472 542431184 931256944 1389979909 2000214991 2779959818 4000429982 5559919636 8000859964 11119839272 16001719928 22239678544 32003439856 82008814631 164017629262 328035258524 656070517048 1312141034096