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441312162263417 is a prime number
BaseRepresentation
bin110010001010111101111111…
…0101010101011000101111001
32010212120000211100222120121002
41210111323332222223011321
5430320424302014412132
64202332001502254345
7161645515532141504
oct14425737652530571
92125500740876532
10441312162263417
11118685489682425
12415b53062873b5
1315c32734878203
147ad98a068813b
15360481e894262
hex1915efeaab179

441312162263417 has 2 divisors, whose sum is σ = 441312162263418. Its totient is φ = 441312162263416.

The previous prime is 441312162263341. The next prime is 441312162263431. The reversal of 441312162263417 is 714362261213144.

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., 441251867952016 + 60294311401 = 21005996^2 + 245549^2 .

It is a cyclic number.

It is not a de Polignac number, because 441312162263417 - 218 = 441312162001273 is a prime.

It is a super-2 number, since 2×4413121622634172 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (441312164263417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220656081131708 + 220656081131709.

It is an arithmetic number, because the mean of its divisors is an integer number (220656081131709).

Almost surely, 2441312162263417 is an apocalyptic number.

It is an amenable number.

441312162263417 is a deficient number, since it is larger than the sum of its proper divisors (1).

441312162263417 is an equidigital number, since it uses as much as digits as its factorization.

441312162263417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1161216, while the sum is 47.

The spelling of 441312162263417 in words is "four hundred forty-one trillion, three hundred twelve billion, one hundred sixty-two million, two hundred sixty-three thousand, four hundred seventeen".