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2444107117 is a prime number
BaseRepresentation
bin1001000110101110…
…0001110101101101
320022100000111122211
42101223201311231
520001142411432
61042305410421
7114365365504
oct22153416555
96270014584
102444107117
1110446a8941
12582639a11
132cc48ca3a
1419286183b
15e4889d47
hex91ae1d6d

2444107117 has 2 divisors, whose sum is σ = 2444107118. Its totient is φ = 2444107116.

The previous prime is 2444107103. The next prime is 2444107189. The reversal of 2444107117 is 7117014442.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2434534281 + 9572836 = 49341^2 + 3094^2 .

It is a cyclic number.

It is not a de Polignac number, because 2444107117 - 215 = 2444074349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2444147117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1222053558 + 1222053559.

It is an arithmetic number, because the mean of its divisors is an integer number (1222053559).

Almost surely, 22444107117 is an apocalyptic number.

It is an amenable number.

2444107117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2444107117 is an equidigital number, since it uses as much as digits as its factorization.

2444107117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 2444107117 is about 49437.9117378556. The cubic root of 2444107117 is about 1347.0180394250.

It can be divided in two parts, 2444 and 107117, that added together give a square (109561 = 3312).

The spelling of 2444107117 in words is "two billion, four hundred forty-four million, one hundred seven thousand, one hundred seventeen".