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12340404321 = 3743101269503
BaseRepresentation
bin10110111111000101…
…11010000001100001
31011212000122111021220
423133202322001201
5200233120414241
65400305405253
7614543464110
oct133742720141
934760574256
1012340404321
115262922463
122484939829
13121883b1bb
14850d0bc77
154c35b1166
hex2df8ba061

12340404321 has 64 divisors (see below), whose sum is σ = 19543265280. Its totient is φ = 6780614400.

The previous prime is 12340404299. The next prime is 12340404331.

12340404321 is nontrivially palindromic in base 10.

12340404321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12340404321 - 29 = 12340403809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12340404291 and 12340404300.

It is not an unprimeable number, because it can be changed into a prime (12340404331) 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 63 ways as a sum of consecutive naturals, for example, 24533356 + ... + 24533858.

It is an arithmetic number, because the mean of its divisors is an integer number (305363520).

Almost surely, 212340404321 is an apocalyptic number.

It is an amenable number.

12340404321 is a deficient number, since it is larger than the sum of its proper divisors (7202860959).

12340404321 is a wasteful number, since it uses less digits than its factorization.

12340404321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 12340404321 in words is "twelve billion, three hundred forty million, four hundred four thousand, three hundred twenty-one".

Divisors: 1 3 7 21 43 101 129 269 301 303 503 707 807 903 1509 1883 2121 3521 4343 5649 10563 11567 13029 21629 27169 30401 34701 50803 64887 80969 81507 91203 135307 151403 152409 190183 242907 355621 405921 454209 570549 947149 1066863 1168267 2184529 2841447 3504801 5818201 6553587 8177869 13666007 15291703 17454603 24533607 40727407 40998021 45875109 95662049 122182221 286986147 587638301 1762914903 4113468107 12340404321