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4404204332329 is a prime number
BaseRepresentation
bin100000000010110111100…
…0010001110010100101001
3120121001000120110021122011
41000011233002032110221
51034124302302113304
613211132531355521
7633123201100564
oct100055702162451
916531016407564
104404204332329
1114488a358a08a
125b1693152ba1
1325c41249b689
14113243a454db
157986ba3bc04
hex4016f08e529

4404204332329 has 2 divisors, whose sum is σ = 4404204332330. Its totient is φ = 4404204332328.

The previous prime is 4404204332327. The next prime is 4404204332449. The reversal of 4404204332329 is 9232334024044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3356048130304 + 1048156202025 = 1831952^2 + 1023795^2 .

It is a cyclic number.

It is not a de Polignac number, because 4404204332329 - 21 = 4404204332327 is a prime.

Together with 4404204332327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 4404204332291 and 4404204332300.

It is not a weakly prime, because it can be changed into another prime (4404204332321) 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, 2202102166164 + 2202102166165.

It is an arithmetic number, because the mean of its divisors is an integer number (2202102166165).

Almost surely, 24404204332329 is an apocalyptic number.

It is an amenable number.

4404204332329 is a deficient number, since it is larger than the sum of its proper divisors (1).

4404204332329 is an equidigital number, since it uses as much as digits as its factorization.

4404204332329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 40.

The spelling of 4404204332329 in words is "four trillion, four hundred four billion, two hundred four million, three hundred thirty-two thousand, three hundred twenty-nine".