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114831705312 = 25321273139537
BaseRepresentation
bin110101011110010000…
…0001100010011100000
3101222101211010001000200
41222330200030103200
53340133404032222
6124430345545200
711203431250602
oct1527440142340
9358354101020
10114831705312
114477755a8a5
121a308aa5200
13aaa052272c
1457b4b97172
152ec13a8eac
hex1abc80c4e0

114831705312 has 72 divisors (see below), whose sum is σ = 329124047616. Its totient is φ = 37975827456.

The previous prime is 114831705271. The next prime is 114831705371. The reversal of 114831705312 is 213507138411.

114831705312 is a `hidden beast` number, since 1 + 1 + 483 + 170 + 5 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1533193 + ... + 1606344.

It is an arithmetic number, because the mean of its divisors is an integer number (4571167328).

Almost surely, 2114831705312 is an apocalyptic number.

114831705312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114831705312 is an abundant number, since it is smaller than the sum of its proper divisors (214292342304).

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

114831705312 is a wasteful number, since it uses less digits than its factorization.

114831705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139680 (or 3139669 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 114831705312 in words is "one hundred fourteen billion, eight hundred thirty-one million, seven hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 36576 3139537 6279074 9418611 12558148 18837222 25116296 28255833 37674444 50232592 56511666 75348888 100465184 113023332 150697776 226046664 301395552 398721199 452093328 797442398 904186656 1196163597 1594884796 2392327194 3189769592 3588490791 4784654388 6379539184 7176981582 9569308776 12759078368 14353963164 19138617552 28707926328 38277235104 57415852656 114831705312