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444131432330017 is a prime number
BaseRepresentation
bin110010011111011110110100…
…0010000011111001100100001
32011020112112212010222222102011
41210332331220100133030201
5431203122133134030032
64212331055140152521
7162356302631254015
oct14476755020371441
92136475763888364
10444131432330017
111195720a0082183
124198b792098741
13160a8550473903
147b9610c858545
153652d27798247
hex193ef6841f321

444131432330017 has 2 divisors, whose sum is σ = 444131432330018. Its totient is φ = 444131432330016.

The previous prime is 444131432329993. The next prime is 444131432330041. The reversal of 444131432330017 is 710033234131444.

It is a balanced prime because it is at equal distance from previous prime (444131432329993) and next prime (444131432330041).

It can be written as a sum of positive squares in only one way, i.e., 410268913969216 + 33862518360801 = 20255096^2 + 5819151^2 .

It is a cyclic number.

It is not a de Polignac number, because 444131432330017 - 247 = 303393943974689 is a prime.

It is not a weakly prime, because it can be changed into another prime (444131432330617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222065716165008 + 222065716165009.

It is an arithmetic number, because the mean of its divisors is an integer number (222065716165009).

Almost surely, 2444131432330017 is an apocalyptic number.

It is an amenable number.

444131432330017 is a deficient number, since it is larger than the sum of its proper divisors (1).

444131432330017 is an equidigital number, since it uses as much as digits as its factorization.

444131432330017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 444131432330017 in words is "four hundred forty-four trillion, one hundred thirty-one billion, four hundred thirty-two million, three hundred thirty thousand, seventeen".