Base | Representation |
---|---|
bin | 1110000010000100011… |
… | …0111011111011110000 |
3 | 212001020211120112102020 |
4 | 3200201012323323300 |
5 | 12422204322310211 |
6 | 302425300351440 |
7 | 23263013042112 |
oct | 3404106737360 |
9 | 761224515366 |
10 | 241073635056 |
11 | 93269867141 |
12 | 3a87b0a5580 |
13 | 1996b950b47 |
14 | b94d0c73b2 |
15 | 640e335306 |
hex | 38211bbef0 |
241073635056 has 80 divisors (see below), whose sum is σ = 637812989856. Its totient is φ = 78433026048.
The previous prime is 241073635051. The next prime is 241073635069. The reversal of 241073635056 is 650536370142.
241073635056 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2410736350562 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 241073634999 and 241073635017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241073635051) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245496 + ... + 736488.
Almost surely, 2241073635056 is an apocalyptic number.
It is a pronic number, being equal to 490992×490993.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 241073635056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318906494928).
241073635056 is an abundant number, since it is smaller than the sum of its proper divisors (396739354800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241073635056 is a wasteful number, since it uses less digits than its factorization.
241073635056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491250 (or 491244 counting only the distinct ones).
The product of its (nonzero) digits is 453600, while the sum is 42.
The spelling of 241073635056 in words is "two hundred forty-one billion, seventy-three million, six hundred thirty-five thousand, fifty-six".
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