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14313921984 = 2632139178781
BaseRepresentation
bin11010101010010110…
…10001110111000000
31100221120011120120200
431111023101313000
5213303331000414
610324205005200
71014466220655
oct152513216700
940846146520
1014313921984
11608592149a
122935853800
13147167272b
1499b071c2c
1558b992109
hex3552d1dc0

14313921984 has 84 divisors (see below), whose sum is σ = 41323671480. Its totient is φ = 4736954880.

The previous prime is 14313921967. The next prime is 14313922013. The reversal of 14313921984 is 48912931341.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9327 + ... + 169454.

It is an arithmetic number, because the mean of its divisors is an integer number (491948470).

Almost surely, 214313921984 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 14313921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661835740).

14313921984 is an abundant number, since it is smaller than the sum of its proper divisors (27009749496).

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

14313921984 is a wasteful number, since it uses less digits than its factorization.

14313921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178938 (or 178925 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 14313921984 in words is "fourteen billion, three hundred thirteen million, nine hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 80064 178781 357562 536343 715124 1072686 1430248 1609029 2145372 2860496 3218058 4290744 5720992 6436116 8581488 11441984 12872232 17162976 24850559 25744464 34325952 49701118 51488928 74551677 99402236 102977856 149103354 198804472 223655031 298206708 397608944 447310062 596413416 795217888 894620124 1192826832 1590435776 1789240248 2385653664 3578480496 4771307328 7156960992 14313921984