Base | Representation |
---|---|
bin | 110011000000010100010000… |
… | …011110111010011101111001 |
3 | 1002102020222121110212121000200 |
4 | 303000110100132322131321 |
5 | 213400243202100121131 |
6 | 2113032054424552413 |
7 | 65151511223412222 |
oct | 6300242036723571 |
9 | 1072228543777020 |
10 | 224322123442041 |
11 | 65526529687749 |
12 | 211ab169322709 |
13 | 982264077c741 |
14 | 3d5736a638249 |
15 | 1ae01ee9532e6 |
hex | cc05107ba779 |
224322123442041 has 12 divisors (see below), whose sum is σ = 324023283881700. Its totient is φ = 149546956644000.
The previous prime is 224322123442037. The next prime is 224322123442069. The reversal of 224322123442041 is 140244321223422.
224322123442041 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 221 + 2 + 3 + 4 + 420 + 4 + 1 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 179926274595600 + 44395848846441 = 13413660^2 + 6663021^2 .
It is not a de Polignac number, because 224322123442041 - 22 = 224322123442037 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 224322123441987 and 224322123442005.
It is not an unprimeable number, because it can be changed into a prime (224322123442841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92541210 + ... + 94934291.
It is an arithmetic number, because the mean of its divisors is an integer number (27001940323475).
Almost surely, 2224322123442041 is an apocalyptic number.
It is an amenable number.
224322123442041 is a deficient number, since it is larger than the sum of its proper divisors (99701160439659).
224322123442041 is a wasteful number, since it uses less digits than its factorization.
224322123442041 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187608456 (or 187608453 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
Adding to 224322123442041 its reverse (140244321223422), we get a palindrome (364566444665463).
The spelling of 224322123442041 in words is "two hundred twenty-four trillion, three hundred twenty-two billion, one hundred twenty-three million, four hundred forty-two thousand, forty-one".
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