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4100440009 is a prime number
BaseRepresentation
bin1111010001100111…
…1011111111001001
3101120202200221020111
43310121323333021
531344203040014
61514514354321
7203420110411
oct36431737711
911522627214
104100440009
1118146562a6
1296528b9a1
1350468a583
142ac81b641
1518eeb52c4
hexf467bfc9

4100440009 has 2 divisors, whose sum is σ = 4100440010. Its totient is φ = 4100440008.

The previous prime is 4100439907. The next prime is 4100440049. The reversal of 4100440009 is 9000440014.

It is a happy number.

4100440009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2872638409 + 1227801600 = 53597^2 + 35040^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100440009 - 217 = 4100308937 is a prime.

It is not a weakly prime, because it can be changed into another prime (4100440049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050220004 + 2050220005.

It is an arithmetic number, because the mean of its divisors is an integer number (2050220005).

Almost surely, 24100440009 is an apocalyptic number.

It is an amenable number.

4100440009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100440009 is an equidigital number, since it uses as much as digits as its factorization.

4100440009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4100440009 is about 64034.6781751888. The cubic root of 4100440009 is about 1600.5779174039.

The spelling of 4100440009 in words is "four billion, one hundred million, four hundred forty thousand, nine".