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114371292384 = 253444124727
BaseRepresentation
bin110101010000100001…
…1110110110011100000
3101221012201202122020000
41222201003312303200
53333213022324014
6124312541420000
711156140642056
oct1524103666340
9357181678200
10114371292384
1144560681848
121a1ba86a600
13aa2901b24b
14576d9881d6
152e95c60509
hex1aa10f6ce0

114371292384 has 60 divisors (see below), whose sum is σ = 336362801544. Its totient is φ = 38123763264.

The previous prime is 114371292353. The next prime is 114371292419. The reversal of 114371292384 is 483292173411.

114371292384 is a `hidden beast` number, since 1 + 143 + 7 + 129 + 2 + 384 = 666.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 22059772 + ... + 22064955.

Almost surely, 2114371292384 is an apocalyptic number.

It is an amenable number.

114371292384 is an abundant number, since it is smaller than the sum of its proper divisors (221991509160).

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

114371292384 is an equidigital number, since it uses as much as digits as its factorization.

114371292384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124749 (or 44124732 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 114371292384 in words is "one hundred fourteen billion, three hundred seventy-one million, two hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 44124727 88249454 132374181 176498908 264748362 352997816 397122543 529496724 705995632 794245086 1058993448 1191367629 1411991264 1588490172 2117986896 2382735258 3176980344 3574102887 4235973792 4765470516 6353960688 7148205774 9530941032 12707921376 14296411548 19061882064 28592823096 38123764128 57185646192 114371292384