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314081088641 is a prime number
BaseRepresentation
bin1001001001000001011…
…00010001010010000001
31010000200211222110000122
410210200230101102001
520121214224314031
6400141543430025
731456136130035
oct4444054212201
91100624873018
10314081088641
1111122364a641
1250a55155315
132380518c518
14112b72c61c5
1582839ad47b
hex4920b11481

314081088641 has 2 divisors, whose sum is σ = 314081088642. Its totient is φ = 314081088640.

The previous prime is 314081088617. The next prime is 314081088677. The reversal of 314081088641 is 146880180413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278471511616 + 35609577025 = 527704^2 + 188705^2 .

It is an emirp because it is prime and its reverse (146880180413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314081088641 - 26 = 314081088577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314081088592 and 314081088601.

It is not a weakly prime, because it can be changed into another prime (314081087641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157040544320 + 157040544321.

It is an arithmetic number, because the mean of its divisors is an integer number (157040544321).

Almost surely, 2314081088641 is an apocalyptic number.

It is an amenable number.

314081088641 is a deficient number, since it is larger than the sum of its proper divisors (1).

314081088641 is an equidigital number, since it uses as much as digits as its factorization.

314081088641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 314081088641 in words is "three hundred fourteen billion, eighty-one million, eighty-eight thousand, six hundred forty-one".