Search a number
-
+
14424326631 = 32112136116703
BaseRepresentation
bin11010110111100000…
…11100000111100111
31101020020220201021200
431123300130013213
5214020111423011
610343151213543
71020306516261
oct153360340747
941206821250
1014424326631
11613217a100
1229668172b3
13148b4ba020
149ab9b0b31
155964ee856
hex35bc1c1e7

14424326631 has 72 divisors (see below), whose sum is σ = 25068895488. Its totient is φ = 7936790400.

The previous prime is 14424326621. The next prime is 14424326639. The reversal of 14424326631 is 13662342441.

14424326631 is a `hidden beast` number, since 14 + 4 + 2 + 4 + 3 + 2 + 6 + 631 = 666.

It is not a de Polignac number, because 14424326631 - 25 = 14424326599 is a prime.

It is a super-2 number, since 2×144243266312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424326639) 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 71 ways as a sum of consecutive naturals, for example, 855226 + ... + 871928.

It is an arithmetic number, because the mean of its divisors is an integer number (348179104).

Almost surely, 214424326631 is an apocalyptic number.

14424326631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14424326631 is a deficient number, since it is larger than the sum of its proper divisors (10644568857).

14424326631 is a wasteful number, since it uses less digits than its factorization.

14424326631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16805 (or 16791 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 14424326631 in words is "fourteen billion, four hundred twenty-four million, three hundred twenty-six thousand, six hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 61 99 117 121 143 183 363 429 549 671 793 1089 1287 1573 2013 2379 4719 6039 7137 7381 8723 14157 16703 22143 26169 50109 66429 78507 95953 150327 183733 217139 287859 551199 651417 863577 1018883 1653597 1954251 2021063 2388529 3056649 6063189 7165587 9169947 11207713 13245479 18189567 21496761 26273819 33623139 39736437 78821457 100869417 119209311 123284843 145700269 236464371 369854529 437100807 1109563587 1311302421 1602702959 4808108877 14424326631