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32434223014344 = 233171923811757237
BaseRepresentation
bin1110101111111101011100…
…10101110110000111001000
311020211200101202202020102210
413113332232111312013020
513222400242042424334
6152552024254225120
76555203165540304
oct727765625660710
9136750352666383
1032434223014344
11a375305373468
123779b777b51a0
1315136c357cba8
14801b79250d04
153b3a4de025e9
hex1d7fae5761c8

32434223014344 has 128 divisors (see below), whose sum is σ = 90412003785600. Its totient is φ = 9635838750720.

The previous prime is 32434223014339. The next prime is 32434223014393. The reversal of 32434223014344 is 44341032243423.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17578894 + ... + 19336130.

It is an arithmetic number, because the mean of its divisors is an integer number (706343779575).

Almost surely, 232434223014344 is an apocalyptic number.

32434223014344 is a gapful number since it is divisible by the number (34) 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 32434223014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45206001892800).

32434223014344 is an abundant number, since it is smaller than the sum of its proper divisors (57977780771256).

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

32434223014344 is a wasteful number, since it uses less digits than its factorization.

32434223014344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759663 (or 1759659 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 32434223014344 its reverse (44341032243423), we get a palindrome (76775255257767).

The spelling of 32434223014344 in words is "thirty-two trillion, four hundred thirty-four billion, two hundred twenty-three million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2381 2584 3876 4762 7143 7752 9524 14286 19048 28572 40477 45239 57144 80954 90478 121431 135717 161908 180956 242862 271434 323816 361912 485724 542868 769063 971448 1085736 1538126 1757237 2307189 3076252 3514474 4614378 5271711 6152504 7028948 9228756 10543422 14057896 18457512 21086844 29873029 33387503 42173688 59746058 66775006 89619087 100162509 119492116 133550012 179238174 200325018 238984232 267100024 358476348 400650036 567587551 716952696 801300072 1135175102 1702762653 2270350204 3405525306 4183981297 4540700408 6811050612 8367962594 12551943891 13622101224 16735925188 25103887782 33471850376 50207775564 71127682049 79495644643 100415551128 142255364098 158991289286 213383046147 238486933929 284510728196 317982578572 426766092294 476973867858 569021456392 635965157144 853532184588 953947735716 1351425958931 1707064369176 1907895471432 2702851917862 4054277876793 5405703835724 8108555753586 10811407671448 16217111507172 32434223014344