Search a number
-
+
13972344446976 = 21331733443303
BaseRepresentation
bin1100101101010011000010…
…1000001010000000000000
31211110202001201010022000220
43023110300220022000000
53312410330134300401
645414450104343040
72641316502132066
oct313246050120000
954422051108026
1013972344446976
1144a7702200343
121697b25a74a80
137a47814c69a6
1436439d542036
151936bd025336
hexcb530a0a000

13972344446976 has 112 divisors (see below), whose sum is σ = 39448918759104. Its totient is φ = 4383480479744.

The previous prime is 13972344446947. The next prime is 13972344446987. The reversal of 13972344446976 is 67964444327931.

It is a self number, because there is not a number n which added to its sum of digits gives 13972344446976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16303860 + ... + 17139443.

Almost surely, 213972344446976 is an apocalyptic number.

13972344446976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13972344446976 is an abundant number, since it is smaller than the sum of its proper divisors (25476574312128).

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

13972344446976 is an equidigital number, since it uses as much as digits as its factorization.

13972344446976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33443349 (or 33443325 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 69.

The spelling of 13972344446976 in words is "thirteen trillion, nine hundred seventy-two billion, three hundred forty-four million, four hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 17408 24576 26112 34816 52224 69632 104448 139264 208896 417792 33443303 66886606 100329909 133773212 200659818 267546424 401319636 535092848 568536151 802639272 1070185696 1137072302 1605278544 1705608453 2140371392 2274144604 3210557088 3411216906 4280742784 4548289208 6421114176 6822433812 8561485568 9096578416 12842228352 13644867624 17122971136 18193156832 25684456704 27289735248 34245942272 36386313664 51368913408 54579470496 68491884544 72772627328 102737826816 109158940992 136983769088 145545254656 205475653632 218317881984 273967538176 291090509312 410951307264 436635763968 582181018624 821902614528 873271527936 1164362037248 1746543055872 2328724074496 3493086111744 4657448148992 6986172223488 13972344446976