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444431331313 = 17216112097649
BaseRepresentation
bin1100111011110100010…
…10111110111111110001
31120111011011221212021021
412131322022332333301
524240143410100223
6540100253455441
744052264662044
oct6357212767761
91514134855237
10444431331313
1116153399a222
12721731a1581
1332ba97a3828
14177210c2c5b
15b86245765d
hex677a2beff1

444431331313 has 8 divisors (see below), whose sum is σ = 470792147400. Its totient is φ = 418094714880.

The previous prime is 444431331277. The next prime is 444431331397. The reversal of 444431331313 is 313133134444.

It can be written as a sum of positive squares in 4 ways, for example, as 226316178529 + 218115152784 = 475727^2 + 467028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444431331313 - 233 = 435841396721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444431331413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6012088 + ... + 6085561.

It is an arithmetic number, because the mean of its divisors is an integer number (58849018425).

Almost surely, 2444431331313 is an apocalyptic number.

It is an amenable number.

444431331313 is a deficient number, since it is larger than the sum of its proper divisors (26360816087).

444431331313 is a wasteful number, since it uses less digits than its factorization.

444431331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12099827.

The product of its digits is 62208, while the sum is 34.

Adding to 444431331313 its reverse (313133134444), we get a palindrome (757564465757).

The spelling of 444431331313 in words is "four hundred forty-four billion, four hundred thirty-one million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 17 2161 36737 12097649 205660033 26143019489 444431331313