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12441034431 = 33765825579
BaseRepresentation
bin10111001011000101…
…10001111010111111
31012010001000000212000
423211202301322333
5200434401100211
65414302313343
7620205022260
oct134542617277
935101000760
1012441034431
115304704341
1224b2588853
131233642747
14860424967
154cc33c656
hex2e58b1ebf

12441034431 has 16 divisors (see below), whose sum is σ = 21064185600. Its totient is φ = 7109162424.

The previous prime is 12441034429. The next prime is 12441034451. The reversal of 12441034431 is 13443014421.

12441034431 is a `hidden beast` number, since 124 + 4 + 103 + 4 + 431 = 666.

It is not a de Polignac number, because 12441034431 - 21 = 12441034429 is a prime.

It is a super-2 number, since 2×124410344312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12441034395 and 12441034404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441034451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32912601 + ... + 32912978.

It is an arithmetic number, because the mean of its divisors is an integer number (1316511600).

Almost surely, 212441034431 is an apocalyptic number.

12441034431 is a deficient number, since it is larger than the sum of its proper divisors (8623151169).

12441034431 is an equidigital number, since it uses as much as digits as its factorization.

12441034431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65825595 (or 65825589 counting only the distinct ones).

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

Adding to 12441034431 its reverse (13443014421), we get a palindrome (25884048852).

The spelling of 12441034431 in words is "twelve billion, four hundred forty-one million, thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 65825579 197476737 460779053 592430211 1382337159 1777290633 4147011477 12441034431