Search a number
-
+
2444132813 is a prime number
BaseRepresentation
bin1001000110101110…
…1000000111001101
320022100001210220112
42101223220013031
520001144222223
61042310125405
7114365533433
oct22153500715
96270053815
102444132813
111044716181
12582650865
132cc49b645
1419286ad53
15e4892778
hex91ae81cd

2444132813 has 2 divisors, whose sum is σ = 2444132814. Its totient is φ = 2444132812.

The previous prime is 2444132777. The next prime is 2444132839. The reversal of 2444132813 is 3182314442.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1837151044 + 606981769 = 42862^2 + 24637^2 .

It is a cyclic number.

It is not a de Polignac number, because 2444132813 - 212 = 2444128717 is a prime.

It is a super-3 number, since 3×24441328133 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2444132813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2444132843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1222066406 + 1222066407.

It is an arithmetic number, because the mean of its divisors is an integer number (1222066407).

Almost surely, 22444132813 is an apocalyptic number.

It is an amenable number.

2444132813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2444132813 is an equidigital number, since it uses as much as digits as its factorization.

2444132813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 32.

The square root of 2444132813 is about 49438.1716186997. The cubic root of 2444132813 is about 1347.0227600111.

The spelling of 2444132813 in words is "two billion, four hundred forty-four million, one hundred thirty-two thousand, eight hundred thirteen".