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231213444000414 = 23121134602769119
BaseRepresentation
bin110100100100100110010011…
…001100100110101010011110
31010022122210022110021220120020
4310210212103030212222132
5220301200113131003124
62135425553444533010
766462422453565411
oct6444462314465236
91108583273256506
10231213444000414
1167743086463a37
1221b2286a6b1166
139c02446363755
144114b0cbddb78
151bae5d3e5b379
hexd24993326a9e

231213444000414 has 32 divisors (see below), whose sum is σ = 462481802772480. Its totient is φ = 77061996047232.

The previous prime is 231213444000403. The next prime is 231213444000431. The reversal of 231213444000414 is 414000444312132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345115747 + ... + 3345184865.

It is an arithmetic number, because the mean of its divisors is an integer number (14452556336640).

Almost surely, 2231213444000414 is an apocalyptic number.

231213444000414 is an abundant number, since it is smaller than the sum of its proper divisors (231268358772066).

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

231213444000414 is a wasteful number, since it uses less digits than its factorization.

231213444000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127264.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 231213444000414 its reverse (414000444312132), we get a palindrome (645213888312546).

The spelling of 231213444000414 in words is "two hundred thirty-one trillion, two hundred thirteen billion, four hundred forty-four million, four hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 12113 24226 36339 46027 69119 72678 92054 138081 138238 207357 276162 414714 557525051 837238447 1115050102 1672575153 1674476894 2511715341 3181340213 3345150306 5023430682 6362680426 9544020639 19088041278 38535574000069 77071148000138 115606722000207 231213444000414