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13714515144 = 23321117316307
BaseRepresentation
bin11001100010111001…
…01110010011001000
31022101210021112222100
430301130232103020
5211041403441034
610144513353400
7663600312111
oct146134562310
938353245870
1013714515144
1158a8539240
1227a8b68860
1313a7423b25
14941601208
15554040099
hex33172e4c8

13714515144 has 48 divisors (see below), whose sum is σ = 40520160720. Its totient is φ = 4155913440.

The previous prime is 13714515119. The next prime is 13714515149. The reversal of 13714515144 is 44151541731.

13714515144 is a `hidden beast` number, since 137 + 1 + 4 + 5 + 1 + 514 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13714515099 and 13714515108.

It is not an unprimeable number, because it can be changed into a prime (13714515149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8657362 + ... + 8658945.

It is an arithmetic number, because the mean of its divisors is an integer number (844170015).

Almost surely, 213714515144 is an apocalyptic number.

It is an amenable number.

13714515144 is an abundant number, since it is smaller than the sum of its proper divisors (26805645576).

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

13714515144 is a wasteful number, since it uses less digits than its factorization.

13714515144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17316330 (or 17316323 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

It can be divided in two parts, 1371 and 4515144, that added together give a triangular number (4516515 = T3005).

The spelling of 13714515144 in words is "thirteen billion, seven hundred fourteen million, five hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 17316307 34632614 51948921 69265228 103897842 138530456 155846763 190479377 207795684 311693526 380958754 415591368 571438131 623387052 761917508 1142876262 1246774104 1523835016 1714314393 2285752524 3428628786 4571505048 6857257572 13714515144