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444142341434417 is a prime number
BaseRepresentation
bin110010011111100011111001…
…0011111011010110000110001
32011020120121000102101220022212
41210333013302133122300301
5431203312003401400132
64212340101440141505
7162360140155154063
oct14477076237326061
92136517012356285
10444142341434417
11119576788a7783a
1241991917607895
13160a959b5c4782
147b96865627733
1536532653805b2
hex193f1f27dac31

444142341434417 has 2 divisors, whose sum is σ = 444142341434418. Its totient is φ = 444142341434416.

The previous prime is 444142341434411. The next prime is 444142341434453. The reversal of 444142341434417 is 714434143241444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395893633349776 + 48248708084641 = 19897076^2 + 6946129^2 .

It is a cyclic number.

It is not a de Polignac number, because 444142341434417 - 232 = 444138046467121 is a prime.

It is a super-2 number, since 2×4441423414344172 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (444142341434411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222071170717208 + 222071170717209.

It is an arithmetic number, because the mean of its divisors is an integer number (222071170717209).

Almost surely, 2444142341434417 is an apocalyptic number.

It is an amenable number.

444142341434417 is a deficient number, since it is larger than the sum of its proper divisors (1).

444142341434417 is an equidigital number, since it uses as much as digits as its factorization.

444142341434417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8257536, while the sum is 50.

The spelling of 444142341434417 in words is "four hundred forty-four trillion, one hundred forty-two billion, three hundred forty-one million, four hundred thirty-four thousand, four hundred seventeen".