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113554005552144 = 24323701409352057
BaseRepresentation
bin11001110100011011011010…
…001010011110110000010000
3112220001122201220000001222200
4121310123122022132300100
5104340432100410132034
61041301553501003200
732630002054335543
oct3164333212366020
9486048656001880
10113554005552144
11331aaa8a872a93
121089b63a853500
134b49134805731
14200808674885a
15d1dc00deea99
hex6746da29ec10

113554005552144 has 120 divisors (see below), whose sum is σ = 317963140591512. Its totient is φ = 37831135795200.

The previous prime is 113554005552107. The next prime is 113554005552149. The reversal of 113554005552144 is 441255500455311.

113554005552144 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 400 + 55 + 52 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17976243225600 + 95577762326544 = 4239840^2 + 9776388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113554005552144.

It is not an unprimeable number, because it can be changed into a prime (113554005552149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2181313764 + ... + 2181365820.

Almost surely, 2113554005552144 is an apocalyptic number.

It is an amenable number.

113554005552144 is an abundant number, since it is smaller than the sum of its proper divisors (204409135039368).

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

113554005552144 is a wasteful number, since it uses less digits than its factorization.

113554005552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59865 (or 59856 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 113554005552144 in words is "one hundred thirteen trillion, five hundred fifty-four billion, five million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3701 4093 7402 8186 11103 12279 14804 16372 22206 24558 29608 32744 33309 36837 44412 49116 52057 59216 65488 66618 73674 88824 98232 104114 133236 147348 156171 177648 196464 208228 266472 294696 312342 416456 468513 532944 589392 624684 832912 937026 1249368 1874052 2498736 3748104 7496208 15148193 30296386 45444579 60592772 90889158 121185544 136333737 181778316 192662957 213069301 242371088 272667474 363556632 385325914 426138602 545334948 577988871 639207903 727113264 770651828 852277204 1090669896 1155977742 1278415806 1541303656 1704554408 1733966613 1917623709 2181339792 2311955484 2556831612 3082607312 3409108816 3467933226 3835247418 4623910968 5113663224 6935866452 7670494836 9247821936 10227326448 13871732904 15340989672 27743465808 30681979344 788569483001 1577138966002 2365708449003 3154277932004 4731416898006 6308555864008 7097125347009 9462833796012 12617111728016 14194250694018 18925667592024 28388501388036 37851335184048 56777002776072 113554005552144