Search a number
-
+
13430541505041 = 327320442224513
BaseRepresentation
bin1100001101110000101010…
…1001111101001000010001
31202112221120112022002220200
43003130022221331020101
53230021222111130131
644321523335125413
72554216224122223
oct303341251751021
952487515262820
1013430541505041
114308951600951
12160ab19213869
1376565791651b
14346082510413
1518455c4c02e6
hexc370aa7d211

13430541505041 has 12 divisors (see below), whose sum is σ = 19665419982468. Its totient is φ = 8831040989184.

The previous prime is 13430541505037. The next prime is 13430541505079. The reversal of 13430541505041 is 14050514503431.

13430541505041 is a `hidden beast` number, since 1 + 34 + 30 + 5 + 41 + 50 + 504 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7709068863441 + 5721472641600 = 2776521^2 + 2391960^2 .

It is not a de Polignac number, because 13430541505041 - 22 = 13430541505037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13430541504987 and 13430541505005.

It is not an unprimeable number, because it can be changed into a prime (13430541505081) 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, 10221111600 + ... + 10221112913.

It is an arithmetic number, because the mean of its divisors is an integer number (1638784998539).

Almost surely, 213430541505041 is an apocalyptic number.

It is an amenable number.

13430541505041 is a deficient number, since it is larger than the sum of its proper divisors (6234878477427).

13430541505041 is a wasteful number, since it uses less digits than its factorization.

13430541505041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20442224592 (or 20442224589 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13430541505041 in words is "thirteen trillion, four hundred thirty billion, five hundred forty-one million, five hundred five thousand, forty-one".

Divisors: 1 3 9 73 219 657 20442224513 61326673539 183980020617 1492282389449 4476847168347 13430541505041