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314124040961 is a prime number
BaseRepresentation
bin1001001001000110100…
…00000111101100000001
31010000210211210122112022
410210203100013230001
520121311223302321
6400150120211225
731460200202333
oct4444320075401
91100724718468
10314124040961
11111245917325
1250a67609b15
132381104aab3
14112bcca7453
158287644dab
hex4923407b01

314124040961 has 2 divisors, whose sum is σ = 314124040962. Its totient is φ = 314124040960.

The previous prime is 314124040943. The next prime is 314124040969. The reversal of 314124040961 is 169040421413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270966055936 + 43157985025 = 520544^2 + 207745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314124040961 is a prime.

It is not a weakly prime, because it can be changed into another prime (314124040969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157062020480 + 157062020481.

It is an arithmetic number, because the mean of its divisors is an integer number (157062020481).

Almost surely, 2314124040961 is an apocalyptic number.

It is an amenable number.

314124040961 is a deficient number, since it is larger than the sum of its proper divisors (1).

314124040961 is an equidigital number, since it uses as much as digits as its factorization.

314124040961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 314124040961 in words is "three hundred fourteen billion, one hundred twenty-four million, forty thousand, nine hundred sixty-one".