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444315317 is a prime number
BaseRepresentation
bin11010011110111…
…011011010110101
31010222001120000212
4122132323122311
51402221042232
6112031115205
714003421635
oct3236733265
91128046025
10444315317
11208893746
12104972b05
1371089394
144301c6c5
1529018eb2
hex1a7bb6b5

444315317 has 2 divisors, whose sum is σ = 444315318. Its totient is φ = 444315316.

The previous prime is 444315251. The next prime is 444315329. The reversal of 444315317 is 713513444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 340254916 + 104060401 = 18446^2 + 10201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444315317 is a prime.

It is a super-2 number, since 2×4443153172 = 394832201841620978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444315337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222157658 + 222157659.

It is an arithmetic number, because the mean of its divisors is an integer number (222157659).

Almost surely, 2444315317 is an apocalyptic number.

It is an amenable number.

444315317 is a deficient number, since it is larger than the sum of its proper divisors (1).

444315317 is an equidigital number, since it uses as much as digits as its factorization.

444315317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 32.

The square root of 444315317 is about 21078.7883190662. The cubic root of 444315317 is about 763.0689141978.

The spelling of 444315317 in words is "four hundred forty-four million, three hundred fifteen thousand, three hundred seventeen".