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34441009777 is a prime number
BaseRepresentation
bin100000000100110110…
…000001101001110001
310021220020211120111201
4200010312001221301
51031013344303102
623453314211201
72326323516136
oct400466015161
9107806746451
1034441009777
1113674063449
126812283b01
13332b486435
14194a19a58d
15d68963987
hex804d81a71

34441009777 has 2 divisors, whose sum is σ = 34441009778. Its totient is φ = 34441009776.

The previous prime is 34441009741. The next prime is 34441009913. The reversal of 34441009777 is 77790014443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21833313121 + 12607696656 = 147761^2 + 112284^2 .

It is a cyclic number.

It is not a de Polignac number, because 34441009777 - 227 = 34306792049 is a prime.

It is not a weakly prime, because it can be changed into another prime (34441009717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220504888 + 17220504889.

It is an arithmetic number, because the mean of its divisors is an integer number (17220504889).

Almost surely, 234441009777 is an apocalyptic number.

It is an amenable number.

34441009777 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441009777 is an equidigital number, since it uses as much as digits as its factorization.

34441009777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 34441009777 in words is "thirty-four billion, four hundred forty-one million, nine thousand, seven hundred seventy-seven".