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4044222111257 is a prime number
BaseRepresentation
bin111010110110011110011…
…011000001111000011001
3112022121211210101201020122
4322312132123001320121
51012230031330030012
612333520123203025
7565120410516146
oct72663633017031
915277753351218
104044222111257
11131a165a49359
12553969976475
132344a37c9083
14dda5455b3cd
15702ed48ce72
hex3ad9e6c1e19

4044222111257 has 2 divisors, whose sum is σ = 4044222111258. Its totient is φ = 4044222111256.

The previous prime is 4044222111247. The next prime is 4044222111271. The reversal of 4044222111257 is 7521112224404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3753689253136 + 290532858121 = 1937444^2 + 539011^2 .

It is a cyclic number.

It is not a de Polignac number, because 4044222111257 - 222 = 4044217916953 is a prime.

It is a super-2 number, since 2×40442221112572 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4044222111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2022111055628 + 2022111055629.

It is an arithmetic number, because the mean of its divisors is an integer number (2022111055629).

Almost surely, 24044222111257 is an apocalyptic number.

It is an amenable number.

4044222111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4044222111257 is an equidigital number, since it uses as much as digits as its factorization.

4044222111257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 4044222111257 in words is "four trillion, forty-four billion, two hundred twenty-two million, one hundred eleven thousand, two hundred fifty-seven".