Base | Representation |
---|---|
bin | 1110000010111100111… |
… | …0101101110000000000 |
3 | 212001212100101022200000 |
4 | 3200233032231300000 |
5 | 12423201000231021 |
6 | 302505002400000 |
7 | 23301620606160 |
oct | 3405716556000 |
9 | 761770338600 |
10 | 241310555136 |
11 | 93380576762 |
12 | 3a926500000 |
13 | 199a8a63b41 |
14 | b97275a5a0 |
15 | 6425033b26 |
hex | 382f3adc00 |
241310555136 has 1056 divisors, whose sum is σ = 881254133760. Its totient is φ = 64497254400.
The previous prime is 241310555119. The next prime is 241310555137. The reversal of 241310555136 is 631555013142.
241310555136 is a `hidden beast` number, since 2 + 4 + 131 + 0 + 5 + 5 + 513 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 241310555136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241310555137) 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 95 ways as a sum of consecutive naturals, for example, 2213858250 + ... + 2213858358.
It is an arithmetic number, because the mean of its divisors is an integer number (834520960).
Almost surely, 2241310555136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 241310555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440627066880).
241310555136 is an abundant number, since it is smaller than the sum of its proper divisors (639943578624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241310555136 is a wasteful number, since it uses less digits than its factorization.
241310555136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 54000, while the sum is 36.
Adding to 241310555136 its reverse (631555013142), we get a palindrome (872865568278).
The spelling of 241310555136 in words is "two hundred forty-one billion, three hundred ten million, five hundred fifty-five thousand, one hundred thirty-six".
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