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814192301344027 is a prime number
BaseRepresentation
bin1011100100100000001110101…
…0111001101000010100011011
310221202211000122101100121221011
42321020003222321220110123
51323204211313121002102
612003350440222154351
7333332311143560314
oct27110035271502433
93852730571317834
10814192301344027
1121647701a182981
1277397b0a4229b7
1328c4000a077278
141050b190b7b60b
15641e0247ab2d7
hex2e480eae6851b

814192301344027 has 2 divisors, whose sum is σ = 814192301344028. Its totient is φ = 814192301344026.

The previous prime is 814192301343913. The next prime is 814192301344061. The reversal of 814192301344027 is 720443103291418.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-814192301344027 is a prime.

It is not a weakly prime, because it can be changed into another prime (814192301344327) 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, 407096150672013 + 407096150672014.

It is an arithmetic number, because the mean of its divisors is an integer number (407096150672014).

Almost surely, 2814192301344027 is an apocalyptic number.

814192301344027 is a deficient number, since it is larger than the sum of its proper divisors (1).

814192301344027 is an equidigital number, since it uses as much as digits as its factorization.

814192301344027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 814192301344027 in words is "eight hundred fourteen trillion, one hundred ninety-two billion, three hundred one million, three hundred forty-four thousand, twenty-seven".