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4141334017 is a prime number
BaseRepresentation
bin1111011011010111…
…1011111000000001
3101200121122120021101
43312311323320001
531440140142032
61522535054401
7204424521052
oct36665737001
911617576241
104141334017
1118357475a7
12976b11401
1350cca8002
142b4024729
15193891de7
hexf6d7be01

4141334017 has 2 divisors, whose sum is σ = 4141334018. Its totient is φ = 4141334016.

The previous prime is 4141333997. The next prime is 4141334083. The reversal of 4141334017 is 7104331414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3029511681 + 1111822336 = 55041^2 + 33344^2 .

It is a cyclic number.

It is not a de Polignac number, because 4141334017 - 211 = 4141331969 is a prime.

It is a super-2 number, since 2×41413340172 = 34301294880722712578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4141334117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070667008 + 2070667009.

It is an arithmetic number, because the mean of its divisors is an integer number (2070667009).

Almost surely, 24141334017 is an apocalyptic number.

It is an amenable number.

4141334017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4141334017 is an equidigital number, since it uses as much as digits as its factorization.

4141334017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4141334017 is about 64353.1974108513. The cubic root of 4141334017 is about 1605.8812223243.

The spelling of 4141334017 in words is "four billion, one hundred forty-one million, three hundred thirty-four thousand, seventeen".