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444431313 = 3330753617
BaseRepresentation
bin11010011111010…
…111101111010001
31010222021110011000
4122133113233101
51402233300223
6112033412213
714004414054
oct3237275721
91128243130
10444431313
11208962907
12104a0a069
13710ca111
144304ca9b
152903d543
hex1a7d7bd1

444431313 has 16 divisors (see below), whose sum is σ = 660573760. Its totient is φ = 295316928.

The previous prime is 444431311. The next prime is 444431321. The reversal of 444431313 is 313134444.

It is not a de Polignac number, because 444431313 - 21 = 444431311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444431311) 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 in 15 ways as a sum of consecutive naturals, for example, 18520 + ... + 35097.

It is an arithmetic number, because the mean of its divisors is an integer number (41285860).

Almost surely, 2444431313 is an apocalyptic number.

It is an amenable number.

444431313 is a deficient number, since it is larger than the sum of its proper divisors (216142447).

444431313 is a wasteful number, since it uses less digits than its factorization.

444431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53933 (or 53927 counting only the distinct ones).

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

The square root of 444431313 is about 21081.5396259381. The cubic root of 444431313 is about 763.1353124191.

Adding to 444431313 its reverse (313134444), we get a palindrome (757565757).

The spelling of 444431313 in words is "four hundred forty-four million, four hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 307 921 2763 8289 53617 160851 482553 1447659 16460419 49381257 148143771 444431313