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414048459491 is a prime number
BaseRepresentation
bin1100000011001110011…
…01100001101011100011
31110120201202020001111022
412001213031201223203
523240432401200431
6514113343240055
741625335556602
oct6014715415343
91416652201438
10414048459491
1114a6626199a7
12682b3ba902b
1330076cb6374
141607bc91a39
15ab84e0007b
hex6067361ae3

414048459491 has 2 divisors, whose sum is σ = 414048459492. Its totient is φ = 414048459490.

The previous prime is 414048459457. The next prime is 414048459493. The reversal of 414048459491 is 194954840414.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414048459491 is a prime.

It is a super-2 number, since 2×4140484594912 (a number of 24 digits) contains 22 as substring.

Together with 414048459493, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414048459493) 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, 207024229745 + 207024229746.

It is an arithmetic number, because the mean of its divisors is an integer number (207024229746).

Almost surely, 2414048459491 is an apocalyptic number.

414048459491 is a deficient number, since it is larger than the sum of its proper divisors (1).

414048459491 is an equidigital number, since it uses as much as digits as its factorization.

414048459491 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 414048459491 in words is "four hundred fourteen billion, forty-eight million, four hundred fifty-nine thousand, four hundred ninety-one".