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456014316621341 is a prime number
BaseRepresentation
bin110011110101111100001101…
…1010110101100111000011101
32012210121112122210012122120202
41213223320123112230320131
5434232314310023340331
64253510030210153245
7165023642605220522
oct14753703326547035
92183545583178522
10456014316621341
111223336495116a5
124318a767b82825
131675ac723a9a9a
1480872d41b7149
1537abea3a4cecb
hex19ebe1b5ace1d

456014316621341 has 2 divisors, whose sum is σ = 456014316621342. Its totient is φ = 456014316621340.

The previous prime is 456014316621313. The next prime is 456014316621343. The reversal of 456014316621341 is 143126613410654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 454399396689316 + 1614919932025 = 21316646^2 + 1270795^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-456014316621341 is a prime.

Together with 456014316621343, 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 (456014316621343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228007158310670 + 228007158310671.

It is an arithmetic number, because the mean of its divisors is an integer number (228007158310671).

Almost surely, 2456014316621341 is an apocalyptic number.

It is an amenable number.

456014316621341 is a deficient number, since it is larger than the sum of its proper divisors (1).

456014316621341 is an equidigital number, since it uses as much as digits as its factorization.

456014316621341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 456014316621341 in words is "four hundred fifty-six trillion, fourteen billion, three hundred sixteen million, six hundred twenty-one thousand, three hundred forty-one".