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444110020416329 is a prime number
BaseRepresentation
bin110010011111010100110110…
…0000000100001001101001001
32011020110111120220201001200212
41210332221230000201031021
5431202244310211310304
64212313154332410505
7162354614213064461
oct14476515400411511
92136414526631625
10444110020416329
11119564002667543
12419875b7316a35
13160a651a4088b7
147b9507ac3cba1
1536524c2ad266e
hex193ea6c021349

444110020416329 has 2 divisors, whose sum is σ = 444110020416330. Its totient is φ = 444110020416328.

The previous prime is 444110020416299. The next prime is 444110020416343. The reversal of 444110020416329 is 923614020011444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412728479118400 + 31381541297929 = 20315720^2 + 5601923^2 .

It is a cyclic number.

It is not a de Polignac number, because 444110020416329 - 220 = 444110019367753 is a prime.

It is a super-2 number, since 2×4441100204163292 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (444110020415329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222055010208164 + 222055010208165.

It is an arithmetic number, because the mean of its divisors is an integer number (222055010208165).

Almost surely, 2444110020416329 is an apocalyptic number.

It is an amenable number.

444110020416329 is a deficient number, since it is larger than the sum of its proper divisors (1).

444110020416329 is an equidigital number, since it uses as much as digits as its factorization.

444110020416329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 444110020416329 in words is "four hundred forty-four trillion, one hundred ten billion, twenty million, four hundred sixteen thousand, three hundred twenty-nine".