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4444013313 = 321183341729
BaseRepresentation
bin1000010001110001…
…00100001100000001
3102110201012021012200
410020320210030001
533100131411223
62012550343413
7215061330015
oct41070441401
912421167180
104444013313
111980590a83
12a4035ab69
1355a90349c
143022d4545
151b022ea43
hex108e24301

4444013313 has 12 divisors (see below), whose sum is σ = 6419826660. Its totient is φ = 2962354176.

The previous prime is 4444013293. The next prime is 4444013423. The reversal of 4444013313 is 3133104444.

It can be written as a sum of positive squares in 2 ways, for example, as 2198390769 + 2245622544 = 46887^2 + 47388^2 .

It is not a de Polignac number, because 4444013313 - 213 = 4444005121 is a prime.

It is a super-2 number, since 2×44440133132 = 39498508652242471938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4444013813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85633 + ... + 127361.

It is an arithmetic number, because the mean of its divisors is an integer number (534985555).

Almost surely, 24444013313 is an apocalyptic number.

It is an amenable number.

4444013313 is a deficient number, since it is larger than the sum of its proper divisors (1975813347).

4444013313 is a wasteful number, since it uses less digits than its factorization.

4444013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53568 (or 53565 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4444013313 is about 66663.4331024138. The cubic root of 4444013313 is about 1644.0882180892.

Adding to 4444013313 its reverse (3133104444), we get a palindrome (7577117757).

The spelling of 4444013313 in words is "four billion, four hundred forty-four million, thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 11833 35499 41729 106497 125187 375561 493779257 1481337771 4444013313