Search a number
-
+
4402422240409 is a prime number
BaseRepresentation
bin100000000010000010011…
…0100000101010010011001
3120120212102101010122002201
41000010010310011102121
51034112130043143114
613210240031130201
7633031061420404
oct100040464052231
916525371118081
104402422240409
111448069647046
125b1276373961
1325c1ba20b80b
141131150b0d3b
15797b536e874
hex40104d05499

4402422240409 has 2 divisors, whose sum is σ = 4402422240410. Its totient is φ = 4402422240408.

The previous prime is 4402422240383. The next prime is 4402422240521. The reversal of 4402422240409 is 9040422242044.

4402422240409 is digitally balanced in base 3, 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., 4392390214809 + 10032025600 = 2095803^2 + 100160^2 .

It is a cyclic number.

It is not a de Polignac number, because 4402422240409 - 213 = 4402422232217 is a prime.

It is not a weakly prime, because it can be changed into another prime (4402422270409) 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, 2201211120204 + 2201211120205.

It is an arithmetic number, because the mean of its divisors is an integer number (2201211120205).

Almost surely, 24402422240409 is an apocalyptic number.

It is an amenable number.

4402422240409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4402422240409 is an equidigital number, since it uses as much as digits as its factorization.

4402422240409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 4402422240409 in words is "four trillion, four hundred two billion, four hundred twenty-two million, two hundred forty thousand, four hundred nine".