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12438410439 = 3721319675113
BaseRepresentation
bin10111001010110001…
…10001010011000111
31012002212001201102010
423211120301103013
5200433213113224
65414130145303
7620143513200
oct134530612307
935085051363
1012438410439
115303181954
1224b1722233
131232c342a0
1485dd405a7
154cbebee29
hex2e56314c7

12438410439 has 96 divisors (see below), whose sum is σ = 22200487680. Its totient is φ = 6121640448.

The previous prime is 12438410431. The next prime is 12438410441. The reversal of 12438410439 is 93401483421.

12438410439 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12438410439 - 23 = 12438410431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12438410397 and 12438410406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438410431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2430147 + ... + 2435259.

It is an arithmetic number, because the mean of its divisors is an integer number (231255080).

Almost surely, 212438410439 is an apocalyptic number.

12438410439 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12438410439 is a deficient number, since it is larger than the sum of its proper divisors (9762077241).

12438410439 is a wasteful number, since it uses less digits than its factorization.

12438410439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 12438410439 in words is "twelve billion, four hundred thirty-eight million, four hundred ten thousand, four hundred thirty-nine".

Divisors: 1 3 7 13 19 21 39 49 57 67 91 133 147 201 247 273 399 469 637 741 871 931 1273 1407 1729 1911 2613 2793 3283 3819 5113 5187 6097 8911 9849 12103 15339 16549 18291 26733 35791 36309 42679 49647 62377 66469 97147 107373 115843 128037 187131 199407 250537 291441 342571 347529 465283 680029 751611 810901 1027713 1262911 1395849 2040087 2397997 2432703 3256981 3788733 4453423 4760203 6508849 7193991 8840377 9770943 13360269 14280609 16785979 19526547 26521131 31173961 45561943 50357937 61882639 84615037 93521883 136685829 185647917 218217727 253845111 318933601 592305259 654653181 956800803 1776915777 4146136813 12438410439