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444405605313199 is a prime number
BaseRepresentation
bin110010100001011110011111…
…0001111011010101010101111
32011021111202112201211121112211
41211002330332033122222233
5431222120134430010244
64213101041110511251
7162415150120206265
oct14502747617325257
92137452481747484
10444405605313199
111196683a4629482
1241a1494a065527
13160c8365616c3a
147ba54bb854435
15365a022872934
hex1942f3e3daaaf

444405605313199 has 2 divisors, whose sum is σ = 444405605313200. Its totient is φ = 444405605313198.

The previous prime is 444405605313071. The next prime is 444405605313259. The reversal of 444405605313199 is 991313506504444.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 444405605313199 - 27 = 444405605313071 is a prime.

It is a super-2 number, since 2×4444056053131992 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444405605313499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222202802656599 + 222202802656600.

It is an arithmetic number, because the mean of its divisors is an integer number (222202802656600).

Almost surely, 2444405605313199 is an apocalyptic number.

444405605313199 is a deficient number, since it is larger than the sum of its proper divisors (1).

444405605313199 is an equidigital number, since it uses as much as digits as its factorization.

444405605313199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 444405605313199 in words is "four hundred forty-four trillion, four hundred five billion, six hundred five million, three hundred thirteen thousand, one hundred ninety-nine".