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34453525041 = 341332719397
BaseRepresentation
bin100000000101100101…
…110001001000110001
310021221010101102020000
4200011211301020301
51031030100300131
623454442340213
72326535062605
oct400545611061
9107833342200
1034453525041
1113680131341
1268164ba669
133330c48b10
14194bad7505
15d69ad6ce6
hex805971231

34453525041 has 20 divisors (see below), whose sum is σ = 55426660212. Its totient is φ = 21202168608.

The previous prime is 34453525021. The next prime is 34453525049. The reversal of 34453525041 is 14052535443.

34453525041 is a `hidden beast` number, since 3 + 44 + 53 + 525 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16092191025 + 18361334016 = 126855^2 + 135504^2 .

It is not a de Polignac number, because 34453525041 - 214 = 34453508657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34453524987 and 34453525005.

It is not an unprimeable number, because it can be changed into a prime (34453525049) 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 in 19 ways as a sum of consecutive naturals, for example, 16358646 + ... + 16360751.

Almost surely, 234453525041 is an apocalyptic number.

It is an amenable number.

34453525041 is a deficient number, since it is larger than the sum of its proper divisors (20973135171).

34453525041 is a wasteful number, since it uses less digits than its factorization.

34453525041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719422 (or 32719413 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34453525041 in words is "thirty-four billion, four hundred fifty-three million, five hundred twenty-five thousand, forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 32719397 98158191 294474573 425352161 883423719 1276056483 2650271157 3828169449 11484508347 34453525041