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4113740009 is a prime number
BaseRepresentation
bin1111010100110010…
…1011000011101001
3101121200201122102002
43311030223003221
531411104140014
61520111420345
7203641133051
oct36514530351
911550648362
104113740009
11182110a835
129698246b5
135073661b2
142b04c0561
15191240dde
hexf532b0e9

4113740009 has 2 divisors, whose sum is σ = 4113740010. Its totient is φ = 4113740008.

The previous prime is 4113739997. The next prime is 4113740023. The reversal of 4113740009 is 9000473114.

4113740009 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., 2888740009 + 1225000000 = 53747^2 + 35000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4113740009 is a prime.

It is not a weakly prime, because it can be changed into another prime (4113740209) 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, 2056870004 + 2056870005.

It is an arithmetic number, because the mean of its divisors is an integer number (2056870005).

Almost surely, 24113740009 is an apocalyptic number.

It is an amenable number.

4113740009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113740009 is an equidigital number, since it uses as much as digits as its factorization.

4113740009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 4113740009 is about 64138.4440799744. Note that the first 3 decimals coincide. The cubic root of 4113740009 is about 1602.3065702409.

The spelling of 4113740009 in words is "four billion, one hundred thirteen million, seven hundred forty thousand, nine".