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414042304327 is a prime number
BaseRepresentation
bin1100000011001101101…
…10000010111101000111
31110120201022122100012021
412001212312002331013
523240424312214302
6514113003304011
741625232342531
oct6014666027507
91416638570167
10414042304327
1114a65a0a5493
12682b1b1b007
133007593c862
141607b12c851
15ab845d6437
hex6066d82f47

414042304327 has 2 divisors, whose sum is σ = 414042304328. Its totient is φ = 414042304326.

The previous prime is 414042304309. The next prime is 414042304363. The reversal of 414042304327 is 723403240414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414042304327 - 231 = 411894820679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414042304292 and 414042304301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414042304367) 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, 207021152163 + 207021152164.

It is an arithmetic number, because the mean of its divisors is an integer number (207021152164).

Almost surely, 2414042304327 is an apocalyptic number.

414042304327 is a deficient number, since it is larger than the sum of its proper divisors (1).

414042304327 is an equidigital number, since it uses as much as digits as its factorization.

414042304327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 414042304327 in words is "four hundred fourteen billion, forty-two million, three hundred four thousand, three hundred twenty-seven".