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14242312224 = 2532717415567
BaseRepresentation
bin11010100001110100…
…00111000000100000
31100202120102102110100
431100322013000200
5213132012442344
610313130102400
71012636441110
oct152072070040
940676372410
1014242312224
116049460a78
12291587aa00
13145c88c2aa
14991751040
15585549569
hex350e87020

14242312224 has 144 divisors (see below), whose sum is σ = 49010427648. Its totient is φ = 3829856256.

The previous prime is 14242312213. The next prime is 14242312243. The reversal of 14242312224 is 42221324241.

It is a happy number.

14242312224 is a `hidden beast` number, since 1 + 4 + 2 + 423 + 12 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173512 + ... + 242055.

It is an arithmetic number, because the mean of its divisors is an integer number (340350192).

Almost surely, 214242312224 is an apocalyptic number.

14242312224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14242312224 is an abundant number, since it is smaller than the sum of its proper divisors (34768115424).

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

14242312224 is a wasteful number, since it uses less digits than its factorization.

14242312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415607 (or 415596 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 14242312224 its reverse (42221324241), we get a palindrome (56463636465).

The spelling of 14242312224 in words is "fourteen billion, two hundred forty-two million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 415567 831134 1246701 1662268 2493402 2908969 3324536 3740103 4986804 5817938 6649072 7064639 7480206 8726907 9973608 11635876 13298144 14129278 14960412 17453814 19947216 21193917 23271752 26180721 28258556 29920824 34907628 39894432 42387834 46543504 49452473 52361442 56517112 59841648 63581751 69815256 84775668 93087008 98904946 104722884 113034224 119683296 127163502 139630512 148357419 169551336 197809892 209445768 226068448 254327004 279261024 296714838 339102672 395619784 418891536 445072257 508654008 593429676 678205344 791239568 837783072 890144514 1017308016 1186859352 1582479136 1780289028 2034616032 2373718704 3560578056 4747437408 7121156112 14242312224