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444034131337 is a prime number
BaseRepresentation
bin1100111011000100111…
…11110010010110001001
31120110010111120000100001
412131202133302112021
524233340214200322
6535553024243001
744036402561446
oct6354237622611
91513114500301
10444034131337
1116134a766a85
1272082170461
1332b45402864
14176c444a9cd
15b83c648827
hex67627f2589

444034131337 has 2 divisors, whose sum is σ = 444034131338. Its totient is φ = 444034131336.

The previous prime is 444034131319. The next prime is 444034131347. The reversal of 444034131337 is 733131430444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351766423801 + 92267707536 = 593099^2 + 303756^2 .

It is a cyclic number.

It is not a de Polignac number, because 444034131337 - 219 = 444033607049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444034131296 and 444034131305.

It is not a weakly prime, because it can be changed into another prime (444034131347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222017065668 + 222017065669.

It is an arithmetic number, because the mean of its divisors is an integer number (222017065669).

Almost surely, 2444034131337 is an apocalyptic number.

It is an amenable number.

444034131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

444034131337 is an equidigital number, since it uses as much as digits as its factorization.

444034131337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 444034131337 in words is "four hundred forty-four billion, thirty-four million, one hundred thirty-one thousand, three hundred thirty-seven".