| Base | Representation |
|---|---|
| bin | 10011001100110001101011… |
| … | …11010110100101011010000 |
| 3 | 12112111020022120121012202112 |
| 4 | 21212120311322310223100 |
| 5 | 21013214421340212430 |
| 6 | 225443444344204452 |
| 7 | 11615216456206646 |
| oct | 1146306572645320 |
| 9 | 175436276535675 |
| 10 | 42220433132240 |
| 11 | 124a8648900800 |
| 12 | 489a729769728 |
| 13 | 1a734a6497a9c |
| 14 | a5d6a0a7d196 |
| 15 | 4d33b4e45195 |
| hex | 266635eb4ad0 |
42220433132240 has 480 divisors, whose sum is σ = 114171672545280. Its totient is φ = 14485363200000.
The previous prime is 42220433132233. The next prime is 42220433132321. The reversal of 42220433132240 is 4223133402224.
42220433132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 42220433132197 and 42220433132206.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9908571710 + ... + 9908575970.
It is an arithmetic number, because the mean of its divisors is an integer number (237857651136).
Almost surely, 242220433132240 is an apocalyptic number.
42220433132240 is a gapful number since it is divisible by the number (40) 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 42220433132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57085836272640).
42220433132240 is an abundant number, since it is smaller than the sum of its proper divisors (71951239413040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42220433132240 is a wasteful number, since it uses less digits than its factorization.
42220433132240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5123 (or 5106 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 32.
Adding to 42220433132240 its reverse (4223133402224), we get a palindrome (46443566534464).
The spelling of 42220433132240 in words is "forty-two trillion, two hundred twenty billion, four hundred thirty-three million, one hundred thirty-two thousand, two hundred forty".
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