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414013202327 is a prime number
BaseRepresentation
bin1100000011001010001…
…11000001111110010111
31110120122021212210202102
412001211013001332113
523240344334433302
6514110043432315
741624430104204
oct6014507017627
91416567783672
10414013202327
1114a64472874a
12682a422569b
133006c8c053a
1416077314cab
15ab81c88702
hex60651c1f97

414013202327 has 2 divisors, whose sum is σ = 414013202328. Its totient is φ = 414013202326.

The previous prime is 414013202261. The next prime is 414013202341. The reversal of 414013202327 is 723202310414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414013202327 - 216 = 414013136791 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414013202327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414013202027) 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, 207006601163 + 207006601164.

It is an arithmetic number, because the mean of its divisors is an integer number (207006601164).

Almost surely, 2414013202327 is an apocalyptic number.

414013202327 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013202327 is an equidigital number, since it uses as much as digits as its factorization.

414013202327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 414013202327 in words is "four hundred fourteen billion, thirteen million, two hundred two thousand, three hundred twenty-seven".