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114135606252 = 22331056811169
BaseRepresentation
bin110101001001100000…
…0110010001111101100
3101220121022021112122000
41222103000302033230
53332222203400002
6124233322052300
711150246434353
oct1522300621754
9356538245560
10114135606252
114444a635318
121a15394a090
13a9bc24aab5
14574a55699a
152e8020761c
hex1a930323ec

114135606252 has 24 divisors (see below), whose sum is σ = 295907127600. Its totient is φ = 38045202048.

The previous prime is 114135606251. The next prime is 114135606271. The reversal of 114135606252 is 252606531411.

114135606252 is a `hidden beast` number, since 1 + 1 + 41 + 3 + 5 + 606 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×1141356062522 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114135606251) by changing a digit.

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, 528405477 + ... + 528405692.

It is an arithmetic number, because the mean of its divisors is an integer number (12329463650).

Almost surely, 2114135606252 is an apocalyptic number.

114135606252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114135606252 is an abundant number, since it is smaller than the sum of its proper divisors (181771521348).

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

114135606252 is a wasteful number, since it uses less digits than its factorization.

114135606252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056811182 (or 1056811174 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 114135606252 in words is "one hundred fourteen billion, one hundred thirty-five million, six hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1056811169 2113622338 3170433507 4227244676 6340867014 9511300521 12681734028 19022601042 28533901563 38045202084 57067803126 114135606252