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14255504256 = 273731171077
BaseRepresentation
bin11010100011011000…
…11011101110000000
31100210111020122112010
431101230123232000
5213143402114011
610314320532520
71013156533620
oct152154335600
940714218463
1014255504256
116055951384
12291a181140
13146252aa26
149933c6880
155867a31a6
hex351b1bb80

14255504256 has 128 divisors (see below), whose sum is σ = 44671887360. Its totient is φ = 3941591040.

The previous prime is 14255504231. The next prime is 14255504261. The reversal of 14255504256 is 65240555241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×142555042562 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2211 + ... + 168866.

It is an arithmetic number, because the mean of its divisors is an integer number (348999120).

Almost surely, 214255504256 is an apocalyptic number.

14255504256 is a gapful number since it is divisible by the number (16) 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 14255504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335943680).

14255504256 is an abundant number, since it is smaller than the sum of its proper divisors (30416383104).

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

14255504256 is a wasteful number, since it uses less digits than its factorization.

14255504256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171132 (or 171120 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 14255504256 in words is "fourteen billion, two hundred fifty-five million, five hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 171077 342154 513231 684308 1026462 1197539 1368616 2052924 2395078 2737232 3592617 4105848 4790156 5303387 5474464 7185234 8211696 9580312 10606774 10948928 14370468 15910161 16423392 19160624 21213548 21897856 28740936 31820322 32846784 37123709 38321248 42427096 57481872 63640644 65693568 74247418 76642496 84854192 111371127 114963744 127281288 148494836 153284992 169708384 222742254 229927488 254562576 296989672 339416768 445484508 459854976 509125152 593979344 678833536 890969016 1018250304 1187958688 1781938032 2036500608 2375917376 3563876064 4751834752 7127752128 14255504256