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31424446053 = 32711134381119
BaseRepresentation
bin11101010001000010…
…101111111001100101
310000010000122021000100
4131101002233321211
51003324124233203
622234114534313
72161504245540
oct352102577145
9100100567010
1031424446053
111236630a480
12610bb97399
132c6a5228a0
1417416c1857
15c3dbebea3
hex7510afe65

31424446053 has 96 divisors (see below), whose sum is σ = 62362460160. Its totient is φ = 14718049920.

The previous prime is 31424446037. The next prime is 31424446063. The reversal of 31424446053 is 35064442413.

31424446053 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 4 + 44 + 605 + 3 = 666.

It is not a de Polignac number, because 31424446053 - 24 = 31424446037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31424445999 and 31424446017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31424446063) 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 95 ways as a sum of consecutive naturals, for example, 346828 + ... + 427946.

It is an arithmetic number, because the mean of its divisors is an integer number (649608960).

Almost surely, 231424446053 is an apocalyptic number.

31424446053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31424446053 is a deficient number, since it is larger than the sum of its proper divisors (30938014107).

31424446053 is a wasteful number, since it uses less digits than its factorization.

31424446053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81199 (or 81196 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 31424446053 its reverse (35064442413), we get a palindrome (66488888466).

The spelling of 31424446053 in words is "thirty-one billion, four hundred twenty-four million, four hundred forty-six thousand, fifty-three".

Divisors: 1 3 7 9 11 13 21 33 39 43 63 77 91 99 117 129 143 231 273 301 387 429 473 559 693 819 903 1001 1287 1419 1677 2709 3003 3311 3913 4257 5031 6149 9009 9933 11739 18447 29799 35217 43043 55341 81119 129129 243357 387387 567833 730071 892309 1054547 1703499 2676927 3163641 3488117 5110497 6246163 7381829 8030781 9490923 10464351 11600017 18738489 22145487 24416819 31393053 34800051 38369287 45345521 56215467 66436461 73250457 81200119 104400153 115107861 136036563 219751371 243600357 268585009 317418647 345323583 408109689 498800731 730801071 805755027 952255941 1496402193 2417265081 2856767823 3491605117 4489206579 10474815351 31424446053