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12304133442441 = 323767551482831
BaseRepresentation
bin1011001100001100011110…
…0000001100101110001001
31121120021010012210202121100
42303003013200030232021
53103042331130124231
642100235121132013
72406641616430431
oct263030740145611
947507105722540
1012304133442441
113a14176618635
12146875948a009
136b3375992509
14307747a8d2c1
151650d34131e6
hexb30c780cb89

12304133442441 has 24 divisors (see below), whose sum is σ = 18525411292544. Its totient is φ = 7861939224480.

The previous prime is 12304133442413. The next prime is 12304133442443. The reversal of 12304133442441 is 14424433140321.

12304133442441 is a `hidden beast` number, since 1 + 2 + 30 + 41 + 3 + 344 + 244 + 1 = 666.

It is not a de Polignac number, because 12304133442441 - 213 = 12304133434249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12304133442396 and 12304133442405.

It is not an unprimeable number, because it can be changed into a prime (12304133442443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275719105 + ... + 275763726.

Almost surely, 212304133442441 is an apocalyptic number.

It is an amenable number.

12304133442441 is a deficient number, since it is larger than the sum of its proper divisors (6221277850103).

12304133442441 is a wasteful number, since it uses less digits than its factorization.

12304133442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551482941 (or 551482938 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 12304133442441 its reverse (14424433140321), we get a palindrome (26728566582762).

The spelling of 12304133442441 in words is "twelve trillion, three hundred four billion, one hundred thirty-three million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 37 67 111 201 333 603 2479 7437 22311 551482831 1654448493 4963345479 20404864747 36949349677 61214594241 110848049031 183643782723 332544147093 1367125938049 4101377814147 12304133442441