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444931405479839 is a prime number
BaseRepresentation
bin110010100101010011010101…
…0010111110111111110011111
32011100101000201122121120212202
41211022212222113313332133
5431304224004300323324
64214142355501122115
7162501143000656445
oct14512465227677637
92140330648546782
10444931405479839
11119850393067a43
1241a9a82b55933b
1316135b0b9abbb5
147bc2b1b3d0b95
153668a485348ae
hex194a9aa5f7f9f

444931405479839 has 2 divisors, whose sum is σ = 444931405479840. Its totient is φ = 444931405479838.

The previous prime is 444931405479791. The next prime is 444931405479893. The reversal of 444931405479839 is 938974504139444.

Together with next prime (444931405479893) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444931405479839 is a prime.

It is a super-2 number, since 2×4449314054798392 (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 (444931405479139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222465702739919 + 222465702739920.

It is an arithmetic number, because the mean of its divisors is an integer number (222465702739920).

Almost surely, 2444931405479839 is an apocalyptic number.

444931405479839 is a deficient number, since it is larger than the sum of its proper divisors (1).

444931405479839 is an equidigital number, since it uses as much as digits as its factorization.

444931405479839 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1881169920, while the sum is 74.

The spelling of 444931405479839 in words is "four hundred forty-four trillion, nine hundred thirty-one billion, four hundred five million, four hundred seventy-nine thousand, eight hundred thirty-nine".