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34440707729 is a prime number
BaseRepresentation
bin100000000100110100…
…110111111010010001
310021220020021020011202
4200010310313322101
51031013310121404
623453303520545
72326321120421
oct400464677221
9107806236152
1034440707729
111367397751a
126812159155
13332b3abacc
14194a11c481
15d6890421e
hex804d37e91

34440707729 has 2 divisors, whose sum is σ = 34440707730. Its totient is φ = 34440707728.

The previous prime is 34440707723. The next prime is 34440707809. The reversal of 34440707729 is 92770704443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26017690000 + 8423017729 = 161300^2 + 91777^2 .

It is a cyclic number.

It is not a de Polignac number, because 34440707729 - 220 = 34439659153 is a prime.

It is a super-3 number, since 3×344407077293 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34440707723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220353864 + 17220353865.

It is an arithmetic number, because the mean of its divisors is an integer number (17220353865).

Almost surely, 234440707729 is an apocalyptic number.

It is an amenable number.

34440707729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34440707729 is an equidigital number, since it uses as much as digits as its factorization.

34440707729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 34440707729 in words is "thirty-four billion, four hundred forty million, seven hundred seven thousand, seven hundred twenty-nine".