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231274909104 = 24383487711903
BaseRepresentation
bin1101011101100100001…
…1110000110110110000
3211002221221112200101020
43113121003300312300
512242122334042404
6254125103535440
722465131202011
oct3273103606660
9732857480336
10231274909104
118a0a0725318
12389a55ba580
1318a69875855
14b29d999008
156038e83ed9
hex35d90f0db0

231274909104 has 80 divisors (see below), whose sum is σ = 604833288192. Its totient is φ = 76140807424.

The previous prime is 231274909097. The next prime is 231274909139. The reversal of 231274909104 is 401909472132.

It is a happy number.

231274909104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 19424017 + ... + 19435919.

Almost surely, 2231274909104 is an apocalyptic number.

231274909104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231274909104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302416644096).

231274909104 is an abundant number, since it is smaller than the sum of its proper divisors (373558379088).

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

231274909104 is a wasteful number, since it uses less digits than its factorization.

231274909104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16874 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 231274909104 in words is "two hundred thirty-one billion, two hundred seventy-four million, nine hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 4877 9754 11903 14631 19508 23806 29262 35709 39016 47612 58524 71418 78032 95224 117048 142836 190448 234096 285672 404791 571344 809582 987949 1214373 1619164 1975898 2428746 2963847 3238328 3951796 4857492 5927694 6476656 7903592 9714984 11855388 15807184 19429968 23710776 47421552 58050931 116101862 174152793 232203724 348305586 464407448 696611172 928814896 1393222344 2786444688 4818227273 9636454546 14454681819 19272909092 28909363638 38545818184 57818727276 77091636368 115637454552 231274909104