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34164050041 = 112282347521
BaseRepresentation
bin11111110100010101…
…100000100001111001
310021011221200120011201
4133310111200201321
51024431444100131
623410022054201
72316421430302
oct376425404171
9107157616151
1034164050041
1113541796500
12675557a361
1332b5c94834
1419214a37a9
15d4e4a6761
hex7f4560879

34164050041 has 6 divisors (see below), whose sum is σ = 37552220426. Its totient is φ = 31058227200.

The previous prime is 34164050027. The next prime is 34164050057. The reversal of 34164050041 is 14005046143.

It can be written as a sum of positive squares in only one way, i.e., 32986187641 + 1177862400 = 181621^2 + 34320^2 .

It is a de Polignac number, because none of the positive numbers 2k-34164050041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34164049991 and 34164050009.

It is not an unprimeable number, because it can be changed into a prime (34164050941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141173640 + ... + 141173881.

Almost surely, 234164050041 is an apocalyptic number.

It is an amenable number.

34164050041 is a deficient number, since it is larger than the sum of its proper divisors (3388170385).

34164050041 is a wasteful number, since it uses less digits than its factorization.

34164050041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282347543 (or 282347532 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 34164050041 its reverse (14005046143), we get a palindrome (48169096184).

The spelling of 34164050041 in words is "thirty-four billion, one hundred sixty-four million, fifty thousand, forty-one".

Divisors: 1 11 121 282347521 3105822731 34164050041