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12444032009 is a prime number
BaseRepresentation
bin10111001011011100…
…01101110000001001
31012010020122022202102
423211232031300021
5200441133011014
65414450443145
7620242345463
oct134556156011
935106568672
1012444032009
115306371482
1224b35934b5
131234151c66
148609a5133
154cc7308de
hex2e5b8dc09

12444032009 has 2 divisors, whose sum is σ = 12444032010. Its totient is φ = 12444032008.

The previous prime is 12444031991. The next prime is 12444032071. The reversal of 12444032009 is 90023044421.

12444032009 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., 11234940025 + 1209091984 = 105995^2 + 34772^2 .

It is an emirp because it is prime and its reverse (90023044421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12444032009 - 216 = 12443966473 is a prime.

It is a super-3 number, since 3×124440320093 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12444032609) 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, 6222016004 + 6222016005.

It is an arithmetic number, because the mean of its divisors is an integer number (6222016005).

Almost surely, 212444032009 is an apocalyptic number.

It is an amenable number.

12444032009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12444032009 is an equidigital number, since it uses as much as digits as its factorization.

12444032009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 12444032009 in words is "twelve billion, four hundred forty-four million, thirty-two thousand, nine".