Base | Representation |
---|---|
bin | 100011100010100011000… |
… | …010010101011100001010 |
3 | 22122110221110112020111210 |
4 | 203202203002111130022 |
5 | 310003240320104232 |
6 | 5105544430033550 |
7 | 341306615421444 |
oct | 43424302253412 |
9 | 8573843466453 |
10 | 2442276722442 |
11 | 8618445a3517 |
12 | 3353b56488b6 |
13 | 1493c8839bbb |
14 | 862c774d494 |
15 | 437e11d25cc |
hex | 238a309570a |
2442276722442 has 64 divisors (see below), whose sum is σ = 5116030295040. Its totient is φ = 775783008000.
The previous prime is 2442276722437. The next prime is 2442276722447.
2442276722442 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (2442276722437) and next prime (2442276722447).
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a junction number, because it is equal to n+sod(n) for n = 2442276722391 and 2442276722400.
It is not an unprimeable number, because it can be changed into a prime (2442276722447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44851909 + ... + 44906327.
It is an arithmetic number, because the mean of its divisors is an integer number (79937973360).
Almost surely, 22442276722442 is an apocalyptic number.
2442276722442 is an abundant number, since it is smaller than the sum of its proper divisors (2673753572598).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442276722442 is a wasteful number, since it uses less digits than its factorization.
2442276722442 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55659.
The product of its digits is 4816896, while the sum is 48.
The spelling of 2442276722442 in words is "two trillion, four hundred forty-two billion, two hundred seventy-six million, seven hundred twenty-two thousand, four hundred forty-two".
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