| Base | Representation |
|---|---|
| bin | 10110111111100010… |
| … | …01010100110100000 |
| 3 | 1011212021200101202100 |
| 4 | 23133301022212200 |
| 5 | 200240100022430 |
| 6 | 5400521450400 |
| 7 | 614620322613 |
| oct | 133761124640 |
| 9 | 34767611670 |
| 10 | 12344142240 |
| 11 | 5264a45851 |
| 12 | 2486040a00 |
| 13 | 12195496a1 |
| 14 | 85160217a |
| 15 | 4c3a9d960 |
| hex | 2dfc4a9a0 |
12344142240 has 288 divisors, whose sum is σ = 43341480000. Its totient is φ = 3197399040.
The previous prime is 12344142229. The next prime is 12344142241. The reversal of 12344142240 is 4224144321.
12344142240 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 414 + 2 + 240 = 666.
12344142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is not an unprimeable number, because it can be changed into a prime (12344142241) 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 47 ways as a sum of consecutive naturals, for example, 24737511 + ... + 24738009.
It is an arithmetic number, because the mean of its divisors is an integer number (150491250).
Almost surely, 212344142240 is an apocalyptic number.
12344142240 is a gapful number since it is divisible by the number (10) 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 12344142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740000).
12344142240 is an abundant number, since it is smaller than the sum of its proper divisors (30997337760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12344142240 is a wasteful number, since it uses less digits than its factorization.
12344142240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 980 (or 969 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 12344142240 its reverse (4224144321), we get a palindrome (16568286561).
The spelling of 12344142240 in words is "twelve billion, three hundred forty-four million, one hundred forty-two thousand, two hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •