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14313214212 = 223118310631229
BaseRepresentation
bin11010101010010001…
…00101000100000100
31100221111211121200220
431111020211010010
5213303140323322
610324141504340
71014460212333
oct152510450404
940844747626
1014313214212
116085488760
1229355720b0
13147148552b
1499ad29d1a
1558b8a255c
hex355225104

14313214212 has 96 divisors (see below), whose sum is σ = 36937313280. Its totient is φ = 4277566080.

The previous prime is 14313214193. The next prime is 14313214213. The reversal of 14313214212 is 21241231341.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14313214213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11645614 + ... + 11646842.

It is an arithmetic number, because the mean of its divisors is an integer number (384763680).

Almost surely, 214313214212 is an apocalyptic number.

14313214212 is a gapful number since it is divisible by the number (12) 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 14313214212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468656640).

14313214212 is an abundant number, since it is smaller than the sum of its proper divisors (22624099068).

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

14313214212 is a wasteful number, since it uses less digits than its factorization.

14313214212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14313214212 its reverse (21241231341), we get a palindrome (35554445553).

The spelling of 14313214212 in words is "fourteen billion, three hundred thirteen million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1063 1229 1826 2126 2458 2739 3189 3652 3687 4252 4916 5478 6378 7374 10956 11693 12756 13519 14748 23386 27038 35079 40557 46772 54076 70158 81114 88229 102007 140316 162228 176458 204014 264687 306021 352916 408028 529374 612042 970519 1058748 1122077 1224084 1306427 1941038 2244154 2612854 2911557 3366231 3882076 3919281 4488308 5225708 5823114 6732462 7838562 11646228 13464924 14370697 15677124 28741394 43112091 57482788 86224182 108433441 172448364 216866882 325300323 433733764 650600646 1192767851 1301201292 2385535702 3578303553 4771071404 7156607106 14313214212