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114037165755 = 3252534159239
BaseRepresentation
bin110101000110100100…
…1010000111010111011
3101220100110001020122200
41222031021100322323
53332022003301010
6124215444121243
711144642626002
oct1521511207273
9356313036580
10114037165755
11443aa009537
121a126996223
13a9a4a32096
14573b44dc39
152e7675ecc0
hex1a8d250ebb

114037165755 has 12 divisors (see below), whose sum is σ = 197664420720. Its totient is φ = 60819821712.

The previous prime is 114037165699. The next prime is 114037165777. The reversal of 114037165755 is 557561730411.

114037165755 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 71 + 6 + 575 + 5 = 666.

It is not a de Polignac number, because 114037165755 - 29 = 114037165243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2534159239 = 114037165755 / (1 + 1 + 4 + 0 + 3 + 7 + 1 + 6 + 5 + 7 + 5 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 114037165755.

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, 1267079575 + ... + 1267079664.

It is an arithmetic number, because the mean of its divisors is an integer number (16472035060).

Almost surely, 2114037165755 is an apocalyptic number.

114037165755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114037165755 is a deficient number, since it is larger than the sum of its proper divisors (83627254965).

114037165755 is a wasteful number, since it uses less digits than its factorization.

114037165755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534159250 (or 2534159247 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 114037165755 in words is "one hundred fourteen billion, thirty-seven million, one hundred sixty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 45 2534159239 7602477717 12670796195 22807433151 38012388585 114037165755