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4441145353217 is a prime number
BaseRepresentation
bin100000010100000100011…
…1001000010010000000001
3120201120101001111120122222
41000220020321002100001
51040230431202300332
613240122313540425
7635601502433126
oct100501071022001
916646331446588
104441145353217
11146252a853911
125b8882714715
13262a4b889311
14114d49c5674d
157a7cebce712
hex40a08e42401

4441145353217 has 2 divisors, whose sum is σ = 4441145353218. Its totient is φ = 4441145353216.

The previous prime is 4441145353159. The next prime is 4441145353223. The reversal of 4441145353217 is 7123535411444.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2865314540176 + 1575830813041 = 1692724^2 + 1255321^2 .

It is a cyclic number.

It is not a de Polignac number, because 4441145353217 - 226 = 4441078244353 is a prime.

It is not a weakly prime, because it can be changed into another prime (4441145353237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2220572676608 + 2220572676609.

It is an arithmetic number, because the mean of its divisors is an integer number (2220572676609).

Almost surely, 24441145353217 is an apocalyptic number.

It is an amenable number.

4441145353217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4441145353217 is an equidigital number, since it uses as much as digits as its factorization.

4441145353217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 806400, while the sum is 44.

The spelling of 4441145353217 in words is "four trillion, four hundred forty-one billion, one hundred forty-five million, three hundred fifty-three thousand, two hundred seventeen".