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414101243027 is a prime number
BaseRepresentation
bin1100000011010100101…
…10111000010010010011
31110120212102112201220002
412001222112320102103
523241034404234102
6514122510440215
741626546326503
oct6015226702223
91416772481802
10414101243027
1114a68a3a0a5a
126830980306b
1330084c07724
1416084cb1a03
15ab89879902
hex606a5b8493

414101243027 has 2 divisors, whose sum is σ = 414101243028. Its totient is φ = 414101243026.

The previous prime is 414101242993. The next prime is 414101243047. The reversal of 414101243027 is 720342101414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414101243027 - 218 = 414100980883 is a prime.

It is a super-2 number, since 2×4141012430272 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414101243047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207050621513 + 207050621514.

It is an arithmetic number, because the mean of its divisors is an integer number (207050621514).

Almost surely, 2414101243027 is an apocalyptic number.

414101243027 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101243027 is an equidigital number, since it uses as much as digits as its factorization.

414101243027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 414101243027 in words is "four hundred fourteen billion, one hundred one million, two hundred forty-three thousand, twenty-seven".