| Base | Representation |
|---|---|
| bin | 1101111110011111011… |
| … | …0100001010100000000 |
| 3 | 211221202220000202120000 |
| 4 | 3133213312201110000 |
| 5 | 12413222413433100 |
| 6 | 302150103320000 |
| 7 | 23230140040335 |
| oct | 3374766412400 |
| 9 | 757686022500 |
| 10 | 240113030400 |
| 11 | 929166006a1 |
| 12 | 3a651450000 |
| 13 | 19847928219 |
| 14 | b89b6b298c |
| 15 | 63a4d36900 |
| hex | 37e7da1500 |
240113030400 has 270 divisors, whose sum is σ = 887809193502. Its totient is φ = 64030003200.
The previous prime is 240113030371. The next prime is 240113030411. The reversal of 240113030400 is 4030311042.
240113030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 34882285824 + 205230744576 = 186768^2 + 453024^2 .
It is a tau number, because it is divible by the number of its divisors (270).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 29 ways as a sum of consecutive naturals, for example, 286810 + ... + 749990.
Almost surely, 2240113030400 is an apocalyptic number.
240113030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240113030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443904596751).
240113030400 is an abundant number, since it is smaller than the sum of its proper divisors (647696163102).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240113030400 is an equidigital number, since it uses as much as digits as its factorization.
240113030400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 463219 (or 463191 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 240113030400 its reverse (4030311042), we get a palindrome (244143341442).
The spelling of 240113030400 in words is "two hundred forty billion, one hundred thirteen million, thirty thousand, four hundred".
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