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12413033444 = 2272987717431
BaseRepresentation
bin10111000111101111…
…11101101111100100
31012001002022102201102
423203313331233210
5200410214032234
65411422215232
7616415020610
oct134367755744
935032272642
1012413033444
11529a919829
1224a5124518
13122a8ba606
1485a816340
154c9b5ac7e
hex2e3dfdbe4

12413033444 has 48 divisors (see below), whose sum is σ = 25712897280. Its totient is φ = 5130276480.

The previous prime is 12413033441. The next prime is 12413033489. The reversal of 12413033444 is 44433031421.

It is a happy number.

It is a super-2 number, since 2×124130334442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (12413033441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703409 + ... + 720839.

It is an arithmetic number, because the mean of its divisors is an integer number (535685360).

Almost surely, 212413033444 is an apocalyptic number.

12413033444 is a gapful number since it is divisible by the number (14) 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 12413033444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856448640).

12413033444 is an abundant number, since it is smaller than the sum of its proper divisors (13299863836).

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

12413033444 is a wasteful number, since it uses less digits than its factorization.

12413033444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18348 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12413033444 its reverse (44433031421), we get a palindrome (56846064865).

The spelling of 12413033444 in words is "twelve billion, four hundred thirteen million, thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 877 1754 3508 6139 12278 17431 24556 25433 34862 50866 69724 101732 122017 178031 244034 356062 488068 505499 712124 1010998 2021996 3538493 7076986 14153972 15286987 30573974 61147948 107008909 214017818 428035636 443322623 886645246 1773290492 3103258361 6206516722 12413033444