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14431775424 = 2631112775351
BaseRepresentation
bin11010111000011001…
…10110101011000000
31101020202221011002220
431130030312223000
5214024013303144
610344015011040
71020430032003
oct153414665300
941222834086
1014431775424
1161363a7530
122969209a80
13148cbc75b1
149ac98d53a
15596ec1919
hex35c336ac0

14431775424 has 112 divisors (see below), whose sum is σ = 41695762176. Its totient is φ = 4369024000.

The previous prime is 14431775401. The next prime is 14431775437. The reversal of 14431775424 is 42457713441.

It is a super-2 number, since 2×144317754242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694349 + ... + 2699699.

Almost surely, 214431775424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20847881088).

14431775424 is an abundant number, since it is smaller than the sum of its proper divisors (27263986752).

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

14431775424 is a wasteful number, since it uses less digits than its factorization.

14431775424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6644 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The spelling of 14431775424 in words is "fourteen billion, four hundred thirty-one million, seven hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1277 2112 2554 3831 5108 5351 7662 10216 10702 14047 15324 16053 20432 21404 28094 30648 32106 40864 42141 42808 56188 58861 61296 64212 81728 84282 85616 112376 117722 122592 128424 168564 171232 176583 224752 235444 245184 256848 337128 342464 353166 449504 470888 513696 674256 706332 899008 941776 1027392 1348512 1412664 1883552 2697024 2825328 3767104 5650656 6833227 11301312 13666454 20499681 27332908 40999362 54665816 75165497 81998724 109331632 150330994 163997448 218663264 225496491 300661988 327994896 437326528 450992982 601323976 655989792 901985964 1202647952 1311979584 1803971928 2405295904 3607943856 4810591808 7215887712 14431775424