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34838466241 is a prime number
BaseRepresentation
bin100000011100100010…
…001100111011000001
310022220221201110021111
4200130202030323001
51032322121404431
624000553123321
72342221035265
oct403442147301
9108827643244
1034838466241
1113858451367
1269033b9541
133392917087
141986c9c0a5
15d8d7c37b1
hex81c88cec1

34838466241 has 2 divisors, whose sum is σ = 34838466242. Its totient is φ = 34838466240.

The previous prime is 34838466211. The next prime is 34838466251. The reversal of 34838466241 is 14266483843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21902816016 + 12935650225 = 147996^2 + 113735^2 .

It is a cyclic number.

It is not a de Polignac number, because 34838466241 - 231 = 32690982593 is a prime.

It is not a weakly prime, because it can be changed into another prime (34838466211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17419233120 + 17419233121.

It is an arithmetic number, because the mean of its divisors is an integer number (17419233121).

Almost surely, 234838466241 is an apocalyptic number.

It is an amenable number.

34838466241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34838466241 is an equidigital number, since it uses as much as digits as its factorization.

34838466241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2654208, while the sum is 49.

The spelling of 34838466241 in words is "thirty-four billion, eight hundred thirty-eight million, four hundred sixty-six thousand, two hundred forty-one".