Search a number
-
+
424409782913 is a prime number
BaseRepresentation
bin1100010110100001100…
…10110101101010000001
31111120110211212211011122
412023100302311222001
523423142401023123
6522545434322025
742443161426604
oct6132062655201
91446424784148
10424409782913
11153a9a292606
126a305b89315
13310387c2a7c
1416781dcc33b
15b08e881bc8
hex62d0cb5a81

424409782913 has 2 divisors, whose sum is σ = 424409782914. Its totient is φ = 424409782912.

The previous prime is 424409782889. The next prime is 424409782919. The reversal of 424409782913 is 319287904424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320692292209 + 103717490704 = 566297^2 + 322052^2 .

It is a cyclic number.

It is not a de Polignac number, because 424409782913 - 210 = 424409781889 is a prime.

It is not a weakly prime, because it can be changed into another prime (424409782919) 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, 212204891456 + 212204891457.

It is an arithmetic number, because the mean of its divisors is an integer number (212204891457).

Almost surely, 2424409782913 is an apocalyptic number.

It is an amenable number.

424409782913 is a deficient number, since it is larger than the sum of its proper divisors (1).

424409782913 is an equidigital number, since it uses as much as digits as its factorization.

424409782913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 424409782913 in words is "four hundred twenty-four billion, four hundred nine million, seven hundred eighty-two thousand, nine hundred thirteen".