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12412314324 = 22321693720357
BaseRepresentation
bin10111000111101010…
…01110001011010100
31012001000221220021100
423203311032023110
5200410023024244
65411354550100
7616405634214
oct134365161324
935030856240
1012412314324
11529a478513
1224a4a38330
13122a6c81b7
1485a6aa244
154c9a67b69
hex2e3d4e2d4

12412314324 has 36 divisors (see below), whose sum is σ = 31378966164. Its totient is φ = 4136990592.

The previous prime is 12412314289. The next prime is 12412314353. The reversal of 12412314324 is 42341321421.

12412314324 is a `hidden beast` number, since 1 + 24 + 1 + 2 + 314 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5763542724 + 6648771600 = 75918^2 + 81540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599554 + ... + 619910.

It is an arithmetic number, because the mean of its divisors is an integer number (871637949).

Almost surely, 212412314324 is an apocalyptic number.

It is an amenable number.

12412314324 is an abundant number, since it is smaller than the sum of its proper divisors (18966651840).

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

12412314324 is a wasteful number, since it uses less digits than its factorization.

12412314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37304 (or 37299 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12412314324 its reverse (42341321421), we get a palindrome (54753635745).

The spelling of 12412314324 in words is "twelve billion, four hundred twelve million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 16937 20357 33874 40714 50811 61071 67748 81428 101622 122142 152433 183213 203244 244284 304866 366426 609732 732852 344786509 689573018 1034359527 1379146036 2068719054 3103078581 4137438108 6206157162 12412314324