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444113313 = 373431597
BaseRepresentation
bin11010011110001…
…010000110100001
31010221200021221020
4122132022012201
51402143111223
6112022520053
714001621000
oct3236120641
91127607836
10444113313
112087659a6
12104896029
1371018457
1442da8c37
1528ec91e3
hex1a78a1a1

444113313 has 16 divisors (see below), whose sum is σ = 690556800. Its totient is φ = 253778448.

The previous prime is 444113297. The next prime is 444113333. The reversal of 444113313 is 313311444.

It is not a de Polignac number, because 444113313 - 24 = 444113297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214770 + ... + 216827.

It is an arithmetic number, because the mean of its divisors is an integer number (43159800).

Almost surely, 2444113313 is an apocalyptic number.

It is an amenable number.

444113313 is a deficient number, since it is larger than the sum of its proper divisors (246443487).

444113313 is an equidigital number, since it uses as much as digits as its factorization.

444113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431621 (or 431607 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 444113313 is about 21073.9961326750. The cubic root of 444113313 is about 762.9532558407.

Adding to 444113313 its reverse (313311444), we get a palindrome (757424757).

The spelling of 444113313 in words is "four hundred forty-four million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 147 343 1029 431597 1294791 3021179 9063537 21148253 63444759 148037771 444113313