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14264407296 = 283222327763
BaseRepresentation
bin11010100100011100…
…11001010100000000
31100211002222222012100
431102032121110000
5213203142013141
610315235430400
71013325314166
oct152216312400
940732888170
1014264407296
11605a982367
122921155400
1314643271b9
14994663236
155874610b6
hex352399500

14264407296 has 108 divisors (see below), whose sum is σ = 41313720448. Its totient is φ = 4733309952.

The previous prime is 14264407259. The next prime is 14264407327. The reversal of 14264407296 is 69270446241.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 499911 + ... + 527673.

Almost surely, 214264407296 is an apocalyptic number.

14264407296 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 14264407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20656860224).

14264407296 is an abundant number, since it is smaller than the sum of its proper divisors (27049313152).

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

14264407296 is a wasteful number, since it uses less digits than its factorization.

14264407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28008 (or 27991 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14264407296 in words is "fourteen billion, two hundred sixty-four million, four hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 576 669 768 892 1152 1338 1784 2007 2304 2676 3568 4014 5352 7136 8028 10704 14272 16056 21408 27763 28544 32112 42816 55526 57088 64224 83289 85632 111052 128448 166578 171264 222104 249867 256896 333156 444208 499734 513792 666312 888416 999468 1332624 1776832 1998936 2665248 3553664 3997872 5330496 6191149 7107328 7995744 10660992 12382298 15991488 18573447 21321984 24764596 31982976 37146894 49529192 55720341 63965952 74293788 99058384 111440682 148587576 198116768 222881364 297175152 396233536 445762728 594350304 792467072 891525456 1188700608 1584934144 1783050912 2377401216 3566101824 4754802432 7132203648 14264407296