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14141513660 = 2252323143117
BaseRepresentation
bin11010010101110011…
…00101111110111100
31100111112202022211012
431022321211332330
5212430211414120
610255125414352
71010303611541
oct151271457674
940445668735
1014141513660
115aa757457a
1228a7b6a3b8
131444a29181
149821d2bc8
1557b7881c5
hex34ae65fbc

14141513660 has 72 divisors (see below), whose sum is σ = 32046677376. Its totient is φ = 5236007040.

The previous prime is 14141513657. The next prime is 14141513669. The reversal of 14141513660 is 6631514141.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141513669) 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, 306422 + ... + 349538.

Almost surely, 214141513660 is an apocalyptic number.

14141513660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141513660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023338688).

14141513660 is an abundant number, since it is smaller than the sum of its proper divisors (17905163716).

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

14141513660 is a wasteful number, since it uses less digits than its factorization.

14141513660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43203 (or 43178 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 14141513660 in words is "fourteen billion, one hundred forty-one million, five hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 529 620 713 1058 1426 2116 2645 2852 3565 5290 7130 10580 14260 16399 32798 43117 65596 81995 86234 163990 172468 215585 327980 431170 862340 991691 1336627 1983382 2673254 3966764 4958455 5346508 6683135 9916910 13366270 19833820 22808893 26732540 30742421 45617786 61484842 91235572 114044465 122969684 153712105 228088930 307424210 456177860 614848420 707075683 1414151366 2828302732 3535378415 7070756830 14141513660