Search a number
-
+
314840460401 is a prime number
BaseRepresentation
bin1001001010011011111…
…01000010110001110001
31010002122202212112020122
410211031331002301301
520124243124213101
6400345151420025
731514016520625
oct4451575026161
91102582775218
10314840460401
11111583260905
1251027524615
13238c65b891c
141134a0b7185
1582ca4ac51b
hex494df42c71

314840460401 has 2 divisors, whose sum is σ = 314840460402. Its totient is φ = 314840460400.

The previous prime is 314840460307. The next prime is 314840460437. The reversal of 314840460401 is 104064048413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263482023025 + 51358437376 = 513305^2 + 226624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314840460401 is a prime.

It is not a weakly prime, because it can be changed into another prime (314840460481) 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, 157420230200 + 157420230201.

It is an arithmetic number, because the mean of its divisors is an integer number (157420230201).

Almost surely, 2314840460401 is an apocalyptic number.

It is an amenable number.

314840460401 is a deficient number, since it is larger than the sum of its proper divisors (1).

314840460401 is an equidigital number, since it uses as much as digits as its factorization.

314840460401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 314840460401 in words is "three hundred fourteen billion, eight hundred forty million, four hundred sixty thousand, four hundred one".