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314123552441 is a prime number
BaseRepresentation
bin1001001001000110011…
…10010000011010111001
31010000210210212211101222
410210203032100122321
520121311112134231
6400150101521425
731460163066146
oct4444316203271
91100723784358
10314123552441
11111245613296
1250a67413275
1323810c0962a
14112bcbbb3cd
15828759a27b
hex49233906b9

314123552441 has 2 divisors, whose sum is σ = 314123552442. Its totient is φ = 314123552440.

The previous prime is 314123552437. The next prime is 314123552521. The reversal of 314123552441 is 144255321413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288176786041 + 25946766400 = 536821^2 + 161080^2 .

It is a cyclic number.

It is not a de Polignac number, because 314123552441 - 22 = 314123552437 is a prime.

It is a super-3 number, since 3×3141235524413 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (314123557441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157061776220 + 157061776221.

It is an arithmetic number, because the mean of its divisors is an integer number (157061776221).

Almost surely, 2314123552441 is an apocalyptic number.

It is an amenable number.

314123552441 is a deficient number, since it is larger than the sum of its proper divisors (1).

314123552441 is an equidigital number, since it uses as much as digits as its factorization.

314123552441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 35.

Adding to 314123552441 its reverse (144255321413), we get a palindrome (458378873854).

It can be divided in two parts, 31412 and 3552441, that added together give a palindrome (3583853).

The spelling of 314123552441 in words is "three hundred fourteen billion, one hundred twenty-three million, five hundred fifty-two thousand, four hundred forty-one".