Search a number
-
+
2426310401 is a prime number
BaseRepresentation
bin1001000010011110…
…1000111100000001
320021002112100011012
42100213220330001
514432113413101
61040432130305
7114061204154
oct22047507401
96232470135
102426310401
111035652a09
12578696995
132c889b438
1419034bc9b
15e3021bbb
hex909e8f01

2426310401 has 2 divisors, whose sum is σ = 2426310402. Its totient is φ = 2426310400.

The previous prime is 2426310377. The next prime is 2426310421. The reversal of 2426310401 is 1040136242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2425464001 + 846400 = 49249^2 + 920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2426310401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2426310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1213155200 + 1213155201.

It is an arithmetic number, because the mean of its divisors is an integer number (1213155201).

Almost surely, 22426310401 is an apocalyptic number.

It is an amenable number.

2426310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2426310401 is an equidigital number, since it uses as much as digits as its factorization.

2426310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2426310401 is about 49257.5923183422. The cubic root of 2426310401 is about 1343.7406436385.

Adding to 2426310401 its reverse (1040136242), we get a palindrome (3466446643).

The spelling of 2426310401 in words is "two billion, four hundred twenty-six million, three hundred ten thousand, four hundred one".