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444013430017 is a prime number
BaseRepresentation
bin1100111011000010100…
…00110100010100000001
31120110002001121021110111
412131201100310110001
524233314414230032
6535551004431321
744036031611653
oct6354120642401
91513061537414
10444013430017
1116133a007853
1272077248541
1332b41035161
14176c17bc6d3
15b83a909c47
hex6761434501

444013430017 has 2 divisors, whose sum is σ = 444013430018. Its totient is φ = 444013430016.

The previous prime is 444013429933. The next prime is 444013430053. The reversal of 444013430017 is 710034310444.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252912433216 + 191100996801 = 502904^2 + 437151^2 .

It is a cyclic number.

It is not a de Polignac number, because 444013430017 - 223 = 444005041409 is a prime.

It is a super-2 number, since 2×4440134300172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (444113430017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222006715008 + 222006715009.

It is an arithmetic number, because the mean of its divisors is an integer number (222006715009).

Almost surely, 2444013430017 is an apocalyptic number.

It is an amenable number.

444013430017 is a deficient number, since it is larger than the sum of its proper divisors (1).

444013430017 is an equidigital number, since it uses as much as digits as its factorization.

444013430017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 444013430017 in words is "four hundred forty-four billion, thirteen million, four hundred thirty thousand, seventeen".