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241025142413133 = 32132338841390353
BaseRepresentation
bin110110110011011000001001…
…111111101101011101001101
31011121101210000120212102021100
4312303120021333231131031
5223042423442424210013
62212341231041253313
7101524330501202361
oct6663301177553515
91147353016772240
10241025142413133
116a88620941a441
1223048354634239
13a46475b9cc1c0
1443739717a12a1
151cce93c976473
hexdb3609fed74d

241025142413133 has 24 divisors (see below), whose sum is σ = 376537132396152. Its totient is φ = 147686584439808.

The previous prime is 241025142413051. The next prime is 241025142413171. The reversal of 241025142413133 is 331314241520142.

241025142413133 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 2 + 514 + 2 + 4 + 1 + 3 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2485673866404 + 238539468546729 = 1576602^2 + 15444723^2 .

It is not a de Polignac number, because 241025142413133 - 216 = 241025142347597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241025142413833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4420667916 + ... + 4420722437.

It is an arithmetic number, because the mean of its divisors is an integer number (15689047183173).

Almost surely, 2241025142413133 is an apocalyptic number.

It is an amenable number.

241025142413133 is a deficient number, since it is larger than the sum of its proper divisors (135511989983019).

241025142413133 is a wasteful number, since it uses less digits than its factorization.

241025142413133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841390605 (or 8841390602 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 241025142413133 its reverse (331314241520142), we get a palindrome (572339383933275).

The spelling of 241025142413133 in words is "two hundred forty-one trillion, twenty-five billion, one hundred forty-two million, four hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 233 699 2097 3029 9087 27261 8841390353 26524171059 79572513177 114938074589 344814223767 1034442671301 2060043952249 6180131856747 18540395570241 26780571379237 80341714137711 241025142413133