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4444516313 is a prime number
BaseRepresentation
bin1000010001110100…
…11110111111011001
3102110202010211012022
410020322132333121
533100244010223
62013005224225
7215065523336
oct41072367731
912422124168
104444516313
1119808a4986
12a40562075
1355aa4b413
143023c598d
151b02cdac8
hex108e9efd9

4444516313 has 2 divisors, whose sum is σ = 4444516314. Its totient is φ = 4444516312.

The previous prime is 4444516253. The next prime is 4444516327. The reversal of 4444516313 is 3136154444.

4444516313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3662307289 + 782209024 = 60517^2 + 27968^2 .

It is a cyclic number.

It is not a de Polignac number, because 4444516313 - 222 = 4440322009 is a prime.

It is a super-2 number, since 2×44445163132 = 39507450513046227938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4444516513) 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, 2222258156 + 2222258157.

It is an arithmetic number, because the mean of its divisors is an integer number (2222258157).

Almost surely, 24444516313 is an apocalyptic number.

It is an amenable number.

4444516313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4444516313 is an equidigital number, since it uses as much as digits as its factorization.

4444516313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 35.

The square root of 4444516313 is about 66667.2056786543. The cubic root of 4444516313 is about 1644.1502449942.

The spelling of 4444516313 in words is "four billion, four hundred forty-four million, five hundred sixteen thousand, three hundred thirteen".