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14441524164 = 22325359128287
BaseRepresentation
bin11010111001100100…
…00010101111000100
31101021110021102212100
431130302002233010
5214034012233124
610345003552100
71020605633664
oct153462025704
941243242770
1014441524164
116140955941
12297052b630
131491c2b992
149addaa1a4
15597c9a1c9
hex35cc82bc4

14441524164 has 72 divisors (see below), whose sum is σ = 37824433920. Its totient is φ = 4642926912.

The previous prime is 14441524129. The next prime is 14441524193. The reversal of 14441524164 is 46142514441.

14441524164 is a `hidden beast` number, since 1 + 4 + 441 + 52 + 4 + 164 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48429 + ... + 176715.

It is an arithmetic number, because the mean of its divisors is an integer number (525339360).

Almost surely, 214441524164 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 14441524164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912216960).

14441524164 is an abundant number, since it is smaller than the sum of its proper divisors (23382909756).

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

14441524164 is a wasteful number, since it uses less digits than its factorization.

14441524164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128409 (or 128404 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 14441524164 in words is "fourteen billion, four hundred forty-one million, five hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 59 106 118 159 177 212 236 318 354 477 531 636 708 954 1062 1908 2124 3127 6254 9381 12508 18762 28143 37524 56286 112572 128287 256574 384861 513148 769722 1154583 1539444 2309166 4618332 6799211 7568933 13598422 15137866 20397633 22706799 27196844 30275732 40795266 45413598 61192899 68120397 81590532 90827196 122385798 136240794 244771596 272481588 401153449 802306898 1203460347 1604613796 2406920694 3610381041 4813841388 7220762082 14441524164