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12422412441 = 321493924493
BaseRepresentation
bin10111001000110111…
…01111100010011001
31012001201221221021200
423210123233202121
5200420114144231
65412355224413
7616560522615
oct134433574231
935051857250
1012422412441
1152a514536a
1224a82a8109
13122c82260a
1485bb78345
154ca8aebe6
hex2e46ef899

12422412441 has 12 divisors (see below), whose sum is σ = 17955522468. Its totient is φ = 8276052384.

The previous prime is 12422412437. The next prime is 12422412469. The reversal of 12422412441 is 14421422421.

12422412441 is a `hidden beast` number, since 1 + 242 + 2 + 412 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9184347225 + 3238065216 = 95835^2 + 56904^2 .

It is not a de Polignac number, because 12422412441 - 22 = 12422412437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12422012441) 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 11 ways as a sum of consecutive naturals, for example, 448810 + ... + 475683.

It is an arithmetic number, because the mean of its divisors is an integer number (1496293539).

Almost surely, 212422412441 is an apocalyptic number.

It is an amenable number.

12422412441 is a deficient number, since it is larger than the sum of its proper divisors (5533110027).

12422412441 is a wasteful number, since it uses less digits than its factorization.

12422412441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925992 (or 925989 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 12422412441 its reverse (14421422421), we get a palindrome (26843834862).

The spelling of 12422412441 in words is "twelve billion, four hundred twenty-two million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 9 1493 4479 13437 924493 2773479 8320437 1380268049 4140804147 12422412441