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14145218424 = 23321743268757
BaseRepresentation
bin11010010110001111…
…01110011101111000
31100111210201112210200
431023013232131320
5212432133442144
610255341042200
71010350241601
oct151307563570
940453645720
1014145218424
115aa9674a67
1228a9256360
13144572553c
149828b8da8
1557bc6ac69
hex34b1ee778

14145218424 has 96 divisors (see below), whose sum is σ = 41506985520. Its totient is φ = 4334496768.

The previous prime is 14145218413. The next prime is 14145218429. The reversal of 14145218424 is 42481254141.

14145218424 is a `hidden beast` number, since 1 + 4 + 1 + 452 + 184 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145218429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81747 + ... + 187010.

Almost surely, 214145218424 is an apocalyptic number.

It is an amenable number.

14145218424 is an abundant number, since it is smaller than the sum of its proper divisors (27361767096).

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

14145218424 is a wasteful number, since it uses less digits than its factorization.

14145218424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268829 (or 268822 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 14145218424 in words is "fourteen billion, one hundred forty-five million, two hundred eighteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1224 1462 1548 2193 2924 3096 4386 5848 6579 8772 13158 17544 26316 52632 268757 537514 806271 1075028 1612542 2150056 2418813 3225084 4568869 4837626 6450168 9137738 9675252 11556551 13706607 18275476 19350504 23113102 27413214 34669653 36550952 41119821 46226204 54826428 69339306 82239642 92452408 104008959 109652856 138678612 164479284 196461367 208017918 277357224 328958568 392922734 416035836 589384101 785845468 832071672 1178768202 1571690936 1768152303 2357536404 3536304606 4715072808 7072609212 14145218424