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12324342114 = 2327235933889
BaseRepresentation
bin10110111101001011…
…01000100101100010
31011210220102110002100
423132211220211202
5200220012421424
65354533231230
7614260115400
oct133645504542
934726373070
1012324342114
115254851707
12247b492516
131215406236
1484cb2a470
154c1e8bdc9
hex2de968962

12324342114 has 72 divisors (see below), whose sum is σ = 31079007180. Its totient is φ = 3519355392.

The previous prime is 12324342097. The next prime is 12324342119. The reversal of 12324342114 is 41124342321.

12324342114 is a `hidden beast` number, since 1 + 232 + 4 + 3 + 421 + 1 + 4 = 666.

12324342114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12317670225 + 6671889 = 110985^2 + 2583^2 .

It is not an unprimeable number, because it can be changed into a prime (12324342119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3167082 + ... + 3170970.

Almost surely, 212324342114 is an apocalyptic number.

12324342114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12324342114 is an abundant number, since it is smaller than the sum of its proper divisors (18754665066).

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

12324342114 is a wasteful number, since it uses less digits than its factorization.

12324342114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7494 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12324342114 its reverse (41124342321), we get a palindrome (53448684435).

The spelling of 12324342114 in words is "twelve billion, three hundred twenty-four million, three hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 3593 3889 7186 7778 10779 11667 21558 23334 25151 27223 32337 35001 50302 54446 64674 70002 75453 81669 150906 163338 176057 190561 226359 245007 352114 381122 452718 490014 528171 571683 1056342 1143366 1584513 1715049 3169026 3430098 13973177 27946354 41919531 83839062 97812239 125758593 195624478 251517186 293436717 586873434 684685673 880310151 1369371346 1760620302 2054057019 4108114038 6162171057 12324342114