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14014264768 = 26791934039
BaseRepresentation
bin11010000110101000…
…01011010111000000
31100011200022102011021
431003110023113000
5212200122433033
610234342155224
71004200166530
oct150324132700
940150272137
1014014264768
115a417615a9
122871422b14
13142456497a
1496d34b4c0
155704eeb2d
hex34350b5c0

14014264768 has 56 divisors (see below), whose sum is σ = 31817868800. Its totient is φ = 5999401728.

The previous prime is 14014264763. The next prime is 14014264787. The reversal of 14014264768 is 86746241041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014264763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394693 + ... + 428731.

Almost surely, 214014264768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908934400).

14014264768 is an abundant number, since it is smaller than the sum of its proper divisors (17803604032).

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

14014264768 is an equidigital number, since it uses as much as digits as its factorization.

14014264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34977 (or 34967 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 14014264768 in words is "fourteen billion, fourteen million, two hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 919 1838 3676 6433 7352 12866 14704 25732 29408 34039 51464 58816 68078 102928 136156 205856 238273 272312 411712 476546 544624 953092 1089248 1906184 2178496 3812368 7624736 15249472 31281841 62563682 125127364 218972887 250254728 437945774 500509456 875891548 1001018912 1751783096 2002037824 3503566192 7007132384 14014264768