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312000401402112 = 2832215718335087
BaseRepresentation
bin100011011110000110100000…
…1000110000110100100000000
31111220200221120102100000211110
41012330031001012012210000
5311343303310224331422
63023323001121443320
7122501166541404123
oct10674150106064400
91456627512300743
10312000401402112
119045a699837705
122abab9271a0540
1310512686007237
145708c858623ba
152610ca6b1d60c
hex11bc341186900

312000401402112 has 72 divisors (see below), whose sum is σ = 830413590523776. Its totient is φ = 103995434346496.

The previous prime is 312000401402099. The next prime is 312000401402147. The reversal of 312000401402112 is 211204104000213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7849033 + ... + 26184119.

It is an arithmetic number, because the mean of its divisors is an integer number (11533522090608).

Almost surely, 2312000401402112 is an apocalyptic number.

312000401402112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312000401402112 is an abundant number, since it is smaller than the sum of its proper divisors (518413189121664).

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

312000401402112 is a wasteful number, since it uses less digits than its factorization.

312000401402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18357263 (or 18357249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 312000401402112 its reverse (211204104000213), we get a palindrome (523204505402325).

The spelling of 312000401402112 in words is "three hundred twelve trillion, four hundred one million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 22157 44314 66471 88628 132942 177256 265884 354512 531768 709024 1063536 1418048 2127072 2836096 4254144 5672192 8508288 17016576 18335087 36670174 55005261 73340348 110010522 146680696 220021044 293361392 440042088 586722784 880084176 1173445568 1760168352 2346891136 3520336704 4693782272 7040673408 14081346816 406250522659 812501045318 1218751567977 1625002090636 2437503135954 3250004181272 4875006271908 6500008362544 9750012543816 13000016725088 19500025087632 26000033450176 39000050175264 52000066900352 78000100350528 104000133800704 156000200701056 312000401402112