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12344414124 = 2237402736493
BaseRepresentation
bin10110111111100100…
…01100111110101100
31011212022012012201010
423133302030332230
5200240132222444
65400531345220
7614622534360
oct133762147654
934768165633
1012344414124
115265111049
122486152210
131219613373
148516732a0
154c3b042b9
hex2dfc8cfac

12344414124 has 48 divisors (see below), whose sum is σ = 32927514368. Its totient is φ = 3526003008.

The previous prime is 12344414113. The next prime is 12344414141. The reversal of 12344414124 is 42141444321.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12344414091 and 12344414100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320022 + ... + 356514.

Almost surely, 212344414124 is an apocalyptic number.

12344414124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12344414124 is an abundant number, since it is smaller than the sum of its proper divisors (20583100244).

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

12344414124 is a wasteful number, since it uses less digits than its factorization.

12344414124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40534 (or 40532 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 12344414124 its reverse (42141444321), we get a palindrome (54485858445).

The spelling of 12344414124 in words is "twelve billion, three hundred forty-four million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 4027 8054 12081 16108 24162 28189 36493 48324 56378 72986 84567 109479 112756 145972 169134 218958 255451 338268 437916 510902 766353 1021804 1532706 3065412 146957311 293914622 440871933 587829244 881743866 1028701177 1763487732 2057402354 3086103531 4114804708 6172207062 12344414124