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241342532364105 = 3255363167385869
BaseRepresentation
bin110110110111111111101111…
…111010010010011101001001
31011122112010021001001111002200
4312313333233322102131021
5223113124001241122410
62213143121225350413
7101556264636235404
oct6667775772223511
91148463231044080
10241342532364105
116a99887a807247
1223099971938409
13a488670554813
1443850802ccd3b
151cd7d16b883c0
hexdb7fefe92749

241342532364105 has 12 divisors (see below), whose sum is σ = 418327056097860. Its totient is φ = 128716017260832.

The previous prime is 241342532364103. The next prime is 241342532364133. The reversal of 241342532364105 is 501463235243142.

241342532364105 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 2 + 532 + 3 + 6 + 4 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86878300647609 + 154464231716496 = 9320853^2 + 12428364^2 .

It is not a de Polignac number, because 241342532364105 - 21 = 241342532364103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5363167385869 = 241342532364105 / (2 + 4 + 1 + 3 + 4 + 2 + 5 + 3 + 2 + 3 + 6 + 4 + 1 + 0 + 5).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (241342532364103) 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, 2681583692890 + ... + 2681583692979.

It is an arithmetic number, because the mean of its divisors is an integer number (34860588008155).

Almost surely, 2241342532364105 is an apocalyptic number.

It is an amenable number.

241342532364105 is a deficient number, since it is larger than the sum of its proper divisors (176984523733755).

241342532364105 is a wasteful number, since it uses less digits than its factorization.

241342532364105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363167385880 (or 5363167385877 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 241342532364105 in words is "two hundred forty-one trillion, three hundred forty-two billion, five hundred thirty-two million, three hundred sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 5363167385869 16089502157607 26815836929345 48268506472821 80447510788035 241342532364105