Search a number
-
+
444312331 is a prime number
BaseRepresentation
bin11010011110111…
…010101100001011
31010222001101221021
4122132322230023
51402220443311
6112031053311
714003410141
oct3236725413
91128041837
10444312331
11208891481
12104971237
1371087c08
144301b591
1529018171
hex1a7bab0b

444312331 has 2 divisors, whose sum is σ = 444312332. Its totient is φ = 444312330.

The previous prime is 444312329. The next prime is 444312343. The reversal of 444312331 is 133213444.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 444312331 - 21 = 444312329 is a prime.

It is a super-2 number, since 2×4443123312 = 394826894957307122, which contains 22 as substring.

Together with 444312329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 444312296 and 444312305.

It is not a weakly prime, because it can be changed into another prime (444312311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222156165 + 222156166.

It is an arithmetic number, because the mean of its divisors is an integer number (222156166).

Almost surely, 2444312331 is an apocalyptic number.

444312331 is a deficient number, since it is larger than the sum of its proper divisors (1).

444312331 is an equidigital number, since it uses as much as digits as its factorization.

444312331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 25.

The square root of 444312331 is about 21078.7174894489. The cubic root of 444312331 is about 763.0672048045.

Adding to 444312331 its reverse (133213444), we get a palindrome (577525775).

The spelling of 444312331 in words is "four hundred forty-four million, three hundred twelve thousand, three hundred thirty-one".