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1406464131167 is a prime number
BaseRepresentation
bin10100011101110111110…
…010111000000001011111
311222110022220101200102022
4110131313302320001133
5141020414304144132
62554042023250355
7203420330601344
oct24356762700137
94873286350368
101406464131167
114a2529376757
121a86b9ba99bb
13a2823ba9664
144c104d147cb
15268ba8c7e12
hex14777cb805f

1406464131167 has 2 divisors, whose sum is σ = 1406464131168. Its totient is φ = 1406464131166.

The previous prime is 1406464131151. The next prime is 1406464131169. The reversal of 1406464131167 is 7611314646041.

It is a strong prime.

It is an emirp because it is prime and its reverse (7611314646041) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1406464131167 - 24 = 1406464131151 is a prime.

Together with 1406464131169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1406464131169) 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, 703232065583 + 703232065584.

It is an arithmetic number, because the mean of its divisors is an integer number (703232065584).

Almost surely, 21406464131167 is an apocalyptic number.

1406464131167 is a deficient number, since it is larger than the sum of its proper divisors (1).

1406464131167 is an equidigital number, since it uses as much as digits as its factorization.

1406464131167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 1406464131167 in words is "one trillion, four hundred six billion, four hundred sixty-four million, one hundred thirty-one thousand, one hundred sixty-seven".