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12412351314 = 2321191168813
BaseRepresentation
bin10111000111101010…
…10111001101010010
31012001001000210000100
423203311113031102
5200410030220224
65411355433230
7616406150106
oct134365271522
935031023010
1012412351314
11529a4a3290
1224a4a55816
13122a70bc9c
1485a6b9906
154c9a73ac9
hex2e3d57352

12412351314 has 48 divisors (see below), whose sum is σ = 29370916224. Its totient is φ = 3757135200.

The previous prime is 12412351313. The next prime is 12412351333. The reversal of 12412351314 is 41315321421.

12412351314 is a `hidden beast` number, since 1 + 24 + 123 + 513 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12412351313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 145972 + ... + 214784.

It is an arithmetic number, because the mean of its divisors is an integer number (611894088).

Almost surely, 212412351314 is an apocalyptic number.

12412351314 is an abundant number, since it is smaller than the sum of its proper divisors (16958564910).

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

12412351314 is a wasteful number, since it uses less digits than its factorization.

12412351314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69743 (or 69740 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 12412351314 its reverse (41315321421), we get a palindrome (53727672735).

The spelling of 12412351314 in words is "twelve billion, four hundred twelve million, three hundred fifty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 911 1822 2733 5466 8199 10021 16398 20042 30063 60126 68813 90189 137626 180378 206439 412878 619317 756943 1238634 1513886 2270829 4541658 6812487 13624974 62688643 125377286 188065929 376131858 564197787 689575073 1128395574 1379150146 2068725219 4137450438 6206175657 12412351314