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3111444013441 is a prime number
BaseRepresentation
bin101101010001110000100…
…000111110000110000001
3102000110011212211201212111
4231101300200332012001
5401434214131412231
610341213323255321
7440536324512211
oct55216040760601
912013155751774
103111444013441
11a9a613037525
1242302837a541
1319753c248b1a
14aa847ba8241
1555e084c74b1
hex2d47083e181

3111444013441 has 2 divisors, whose sum is σ = 3111444013442. Its totient is φ = 3111444013440.

The previous prime is 3111444013423. The next prime is 3111444013481. The reversal of 3111444013441 is 1443104441113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2590731680625 + 520712332816 = 1609575^2 + 721604^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111444013441 - 25 = 3111444013409 is a prime.

It is not a weakly prime, because it can be changed into another prime (3111444013411) 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 as a sum of consecutive naturals, namely, 1555722006720 + 1555722006721.

It is an arithmetic number, because the mean of its divisors is an integer number (1555722006721).

Almost surely, 23111444013441 is an apocalyptic number.

It is an amenable number.

3111444013441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111444013441 is an equidigital number, since it uses as much as digits as its factorization.

3111444013441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 3111444013441 its reverse (1443104441113), we get a palindrome (4554548454554).

The spelling of 3111444013441 in words is "three trillion, one hundred eleven billion, four hundred forty-four million, thirteen thousand, four hundred forty-one".