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34440256673 is a prime number
BaseRepresentation
bin100000000100110011…
…001001110010100001
310021220012102022102222
4200010303021302201
51031013201203143
623453250120425
72326314231404
oct400463116241
9107805368388
1034440256673
1113673699649
126811b80115
13332b281704
14194a041d3b
15d68865768
hex804cc9ca1

34440256673 has 2 divisors, whose sum is σ = 34440256674. Its totient is φ = 34440256672.

The previous prime is 34440256637. The next prime is 34440256733. The reversal of 34440256673 is 37665204443.

Together with previous prime (34440256637) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30242253409 + 4198003264 = 173903^2 + 64792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34440256673 is a prime.

It is a super-2 number, since 2×344402566732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34440216673) 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, 17220128336 + 17220128337.

It is an arithmetic number, because the mean of its divisors is an integer number (17220128337).

Almost surely, 234440256673 is an apocalyptic number.

It is an amenable number.

34440256673 is a deficient number, since it is larger than the sum of its proper divisors (1).

34440256673 is an equidigital number, since it uses as much as digits as its factorization.

34440256673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 34440256673 in words is "thirty-four billion, four hundred forty million, two hundred fifty-six thousand, six hundred seventy-three".