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1312414031232 = 27322115399281
BaseRepresentation
bin10011000110010001111…
…110001101110110000000
311122110120101112120122200
4103012101332031312000
5133000310442444412
62442525323233200
7163550562126303
oct23062176156600
94573511476580
101312414031232
11466656562637
12192430978800
13969b5c73c55
1447742180b3a
1524213bcb9dc
hex13191f8dd80

1312414031232 has 96 divisors (see below), whose sum is σ = 3794507403960. Its totient is φ = 435397939200.

The previous prime is 1312414031219. The next prime is 1312414031249. The reversal of 1312414031232 is 2321304142131.

1312414031232 is a `hidden beast` number, since 1 + 3 + 1 + 24 + 1 + 403 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1312414031196 and 1312414031205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2456569 + ... + 2942712.

Almost surely, 21312414031232 is an apocalyptic number.

1312414031232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312414031232 is an abundant number, since it is smaller than the sum of its proper divisors (2482093372728).

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

1312414031232 is a wasteful number, since it uses less digits than its factorization.

1312414031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399512 (or 5399497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1312414031232 its reverse (2321304142131), we get a palindrome (3633718173363).

The spelling of 1312414031232 in words is "one trillion, three hundred twelve billion, four hundred fourteen million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 13504 15192 20256 27008 30384 40512 60768 81024 121536 243072 5399281 10798562 16197843 21597124 32395686 43194248 48593529 64791372 86388496 97187058 129582744 172776992 194374116 259165488 345553984 388748232 518330976 691107968 777496464 1036661952 1139248291 1554992928 2073323904 2278496582 3109985856 3417744873 4556993164 6219971712 6835489746 9113986328 10253234619 13670979492 18227972656 20506469238 27341958984 36455945312 41012938476 54683917968 72911890624 82025876952 109367835936 145823781248 164051753904 218735671872 328103507808 437471343744 656207015616 1312414031232