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3342132400049 is a prime number
BaseRepresentation
bin110000101000100110100…
…111010100111110110001
3102211111121221201222122022
4300220212213110332301
5414224141343300144
611035204320121225
7463314104450132
oct60504647247661
912744557658568
103342132400049
111079432679803
1245b889466215
131b3214434431
14b7a8d8c7c89
155be0ac01cee
hex30a269d4fb1

3342132400049 has 2 divisors, whose sum is σ = 3342132400050. Its totient is φ = 3342132400048.

The previous prime is 3342132400021. The next prime is 3342132400081. The reversal of 3342132400049 is 9400042312433.

3342132400049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3188885205025 + 153247195024 = 1785745^2 + 391468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3342132400049 is a prime.

It is a super-2 number, since 2×33421324000492 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3342132399991 and 3342132400018.

It is not a weakly prime, because it can be changed into another prime (3342132420049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1671066200024 + 1671066200025.

It is an arithmetic number, because the mean of its divisors is an integer number (1671066200025).

Almost surely, 23342132400049 is an apocalyptic number.

It is an amenable number.

3342132400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

3342132400049 is an equidigital number, since it uses as much as digits as its factorization.

3342132400049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 3342132400049 in words is "three trillion, three hundred forty-two billion, one hundred thirty-two million, four hundred thousand, forty-nine".