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313240442121234 = 2343529547912433
BaseRepresentation
bin100011100111000111111100…
…1010010000010110000010010
31112002002111022222201102110000
41013032033321102002300102
5312024112411140334414
63030112401133550430
7122656606110532455
oct10716177122026022
91462074288642400
10313240442121234
1190898586463701
122b17011a345416
13105a25a6c30444
14574ccbdb1749c
152633181b85b09
hex11ce3f9482c12

313240442121234 has 40 divisors (see below), whose sum is σ = 702089513803260. Its totient is φ = 104383893245184.

The previous prime is 313240442121203. The next prime is 313240442121239. The reversal of 313240442121234 is 432121244042313.

313240442121234 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 404 + 4 + 2 + 1 + 212 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 307065937750209 + 6174504371025 = 17523297^2 + 2484855^2 .

It is a super-2 number, since 2×3132404421212342 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313240442121239) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273384519 + ... + 274527914.

Almost surely, 2313240442121234 is an apocalyptic number.

313240442121234 is an abundant number, since it is smaller than the sum of its proper divisors (388849071682026).

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

313240442121234 is a wasteful number, since it uses less digits than its factorization.

313240442121234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547915976 (or 547915967 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 313240442121234 its reverse (432121244042313), we get a palindrome (745361686163547).

The spelling of 313240442121234 in words is "three hundred thirteen trillion, two hundred forty billion, four hundred forty-two million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 3529 7058 10587 21174 31761 63522 95283 190566 285849 571698 547912433 1095824866 1643737299 3287474598 4931211897 9862423794 14793635691 29587271382 44380907073 88761814146 1933582976057 3867165952114 5800748928171 11601497856342 17402246784513 34804493569026 52206740353539 104413480707078 156620221060617 313240442121234