Search a number
-
+
14031564960 = 253574176061
BaseRepresentation
bin11010001000101100…
…01011000010100000
31100012212212100120010
431010112023002200
5212214040034320
610240201044520
71004500222440
oct150426130240
940185770503
1014031564960
115a504a8486
122877186740
13142801127a
14971772120
15571cbaae0
hex34458b0a0

14031564960 has 96 divisors (see below), whose sum is σ = 50513645952. Its totient is φ = 3207214080.

The previous prime is 14031564959. The next prime is 14031564971. The reversal of 14031564960 is 6946513041.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084671 + ... + 2091390.

It is an arithmetic number, because the mean of its divisors is an integer number (526183812).

Almost surely, 214031564960 is an apocalyptic number.

14031564960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14031564960 is an abundant number, since it is smaller than the sum of its proper divisors (36482080992).

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

14031564960 is a wasteful number, since it uses less digits than its factorization.

14031564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176086 (or 4176078 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 14031564960 in words is "fourteen billion, thirty-one million, five hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4176061 8352122 12528183 16704244 20880305 25056366 29232427 33408488 41760610 50112732 58464854 62640915 66816976 83521220 87697281 100225464 116929708 125281830 133633952 146162135 167042440 175394562 200450928 233859416 250563660 292324270 334084880 350789124 400901856 438486405 467718832 501127320 584648540 668169760 701578248 876972810 935437664 1002254640 1169297080 1403156496 1753945620 2004509280 2338594160 2806312992 3507891240 4677188320 7015782480 14031564960