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34222450041 = 3213292499573
BaseRepresentation
bin11111110111110100…
…010010010101111001
310021100000120120220200
4133313310102111321
51030041421400131
623415505512413
72321031011553
oct376764222571
9107300516820
1034222450041
111357175426a
126771042709
1332c5101450
1419291464d3
15d546902e6
hex7f7d12579

34222450041 has 12 divisors (see below), whose sum is σ = 53234922468. Its totient is φ = 21059969184.

The previous prime is 34222449971. The next prime is 34222450051. The reversal of 34222450041 is 14005422243.

It can be written as a sum of positive squares in 2 ways, for example, as 2072525625 + 32149924416 = 45525^2 + 179304^2 .

It is not a de Polignac number, because 34222450041 - 213 = 34222441849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34222449987 and 34222450014.

It is not an unprimeable number, because it can be changed into a prime (34222450051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146249670 + ... + 146249903.

It is an arithmetic number, because the mean of its divisors is an integer number (4436243539).

Almost surely, 234222450041 is an apocalyptic number.

It is an amenable number.

34222450041 is a deficient number, since it is larger than the sum of its proper divisors (19012472427).

34222450041 is a wasteful number, since it uses less digits than its factorization.

34222450041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292499592 (or 292499589 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34222450041 its reverse (14005422243), we get a palindrome (48227872284).

The spelling of 34222450041 in words is "thirty-four billion, two hundred twenty-two million, four hundred fifty thousand, forty-one".

Divisors: 1 3 9 13 39 117 292499573 877498719 2632496157 3802494449 11407483347 34222450041