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2442330041 = 1728450969
BaseRepresentation
bin1001000110010010…
…1111111110111001
320022012200012222012
42101210233332321
520000214030131
61042203335305
7114344314514
oct22144577671
96265605865
102442330041
1110436a4788
12581b21535
132cbcb9c08
1419251bd7b
15e463852b
hex9192ffb9

2442330041 has 6 divisors (see below), whose sum is σ = 2594447790. Its totient is φ = 2298663296.

The previous prime is 2442330031. The next prime is 2442330097. The reversal of 2442330041 is 1400332442.

It can be written as a sum of positive squares in 3 ways, for example, as 567440041 + 1874890000 = 23821^2 + 43300^2 .

It is not a de Polignac number, because 2442330041 - 218 = 2442067897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2442329989 and 2442330016.

It is not an unprimeable number, because it can be changed into a prime (2442330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4225196 + ... + 4225773.

It is an arithmetic number, because the mean of its divisors is an integer number (432407965).

Almost surely, 22442330041 is an apocalyptic number.

It is an amenable number.

2442330041 is a deficient number, since it is larger than the sum of its proper divisors (152117749).

2442330041 is an equidigital number, since it uses as much as digits as its factorization.

2442330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451003 (or 8450986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2442330041 is about 49419.9356636570. The cubic root of 2442330041 is about 1346.6914942963.

Adding to 2442330041 its reverse (1400332442), we get a palindrome (3842662483).

The spelling of 2442330041 in words is "two billion, four hundred forty-two million, three hundred thirty thousand, forty-one".

Divisors: 1 17 289 8450969 143666473 2442330041