Search a number
-
+
2442400031 is a prime number
BaseRepresentation
bin1001000110010100…
…0001000100011111
320022012210202222102
42101211001010133
520000223300111
61042205035315
7114345025541
oct22145010437
96265722872
102442400031
111043742325
12581b55b3b
132cc012a26
14192539691
15e464e13b
hex9194111f

2442400031 has 2 divisors, whose sum is σ = 2442400032. Its totient is φ = 2442400030.

The previous prime is 2442400027. The next prime is 2442400091. The reversal of 2442400031 is 1300042442.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2442400031 - 22 = 2442400027 is a prime.

It is a super-2 number, since 2×24424000312 = 11930635822857601922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442399976 and 2442400012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2442400021) 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, 1221200015 + 1221200016.

It is an arithmetic number, because the mean of its divisors is an integer number (1221200016).

Almost surely, 22442400031 is an apocalyptic number.

2442400031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442400031 is an equidigital number, since it uses as much as digits as its factorization.

2442400031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2442400031 is about 49420.6437736297. The cubic root of 2442400031 is about 1346.7043582467.

Adding to 2442400031 its reverse (1300042442), we get a palindrome (3742442473).

The spelling of 2442400031 in words is "two billion, four hundred forty-two million, four hundred thousand, thirty-one".