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414111214327 is a prime number
BaseRepresentation
bin1100000011010101111…
…00111010101011110111
31110120220010022022221111
412001222330322223313
523241044432324302
6514123504255451
741630030146366
oct6015274725367
91416803268844
10414111214327
1114a694a915a8
1268311011587
1330086cb91c5
14160863497dd
15ab8a6990d7
hex606af3aaf7

414111214327 has 2 divisors, whose sum is σ = 414111214328. Its totient is φ = 414111214326.

The previous prime is 414111214313. The next prime is 414111214393. The reversal of 414111214327 is 723412111414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414111214327 - 231 = 411963730679 is a prime.

It is a super-3 number, since 3×4141112143273 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414111214397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207055607163 + 207055607164.

It is an arithmetic number, because the mean of its divisors is an integer number (207055607164).

Almost surely, 2414111214327 is an apocalyptic number.

414111214327 is a deficient number, since it is larger than the sum of its proper divisors (1).

414111214327 is an equidigital number, since it uses as much as digits as its factorization.

414111214327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 31.

The spelling of 414111214327 in words is "four hundred fourteen billion, one hundred eleven million, two hundred fourteen thousand, three hundred twenty-seven".