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14225459136 = 263725142169
BaseRepresentation
bin11010011111110011…
…10100011111000000
31100201101201012100220
431033321310133000
5213113204143021
610311324543040
71012343256540
oct151771643700
940641635326
1014225459136
11603a99aaa9
1229100b1a80
13145923b355
1498d405320
15583d1acc6
hex34fe747c0

14225459136 has 112 divisors (see below), whose sum is σ = 43187477760. Its totient is φ = 4048128000.

The previous prime is 14225459111. The next prime is 14225459159. The reversal of 14225459136 is 63195452241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316260 + ... + 358428.

It is an arithmetic number, because the mean of its divisors is an integer number (385602480).

Almost surely, 214225459136 is an apocalyptic number.

14225459136 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 14225459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21593738880).

14225459136 is an abundant number, since it is smaller than the sum of its proper divisors (28962018624).

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

14225459136 is a wasteful number, since it uses less digits than its factorization.

14225459136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42442 (or 42432 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 14225459136 in words is "fourteen billion, two hundred twenty-five million, four hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 251 336 448 502 672 753 1004 1344 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 42168 42169 48192 56224 84336 84338 112448 126507 168672 168676 253014 295183 337344 337352 506028 590366 674704 885549 1012056 1180732 1349408 1771098 2024112 2361464 2698816 3542196 4048224 4722928 7084392 8096448 9445856 10584419 14168784 18891712 21168838 28337568 31753257 42337676 56675136 63506514 74090933 84675352 127013028 148181866 169350704 222272799 254026056 296363732 338701408 444545598 508052112 592727464 677402816 889091196 1016104224 1185454928 1778182392 2032208448 2370909856 3556364784 4741819712 7112729568 14225459136