| Base | Representation |
|---|---|
| bin | 100110010101111101… |
| … | …0001100101111010000 |
| 3 | 21212112111020000100000 |
| 4 | 1030223322030233100 |
| 5 | 2322113302233230 |
| 6 | 101454342330000 |
| 7 | 5643326265060 |
| oct | 1145372145720 |
| 9 | 255474200300 |
| 10 | 82341055440 |
| 11 | 31a14419746 |
| 12 | 13b5ba29900 |
| 13 | 79c3153017 |
| 14 | 3db1a533a0 |
| 15 | 221dc9eb60 |
| hex | 132be8cbd0 |
82341055440 has 480 divisors, whose sum is σ = 344997918720. Its totient is φ = 17829683712.
The previous prime is 82341055361. The next prime is 82341055441. The reversal of 82341055440 is 4455014328.
It is a happy number.
82341055440 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 105 + 544 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 82341055395 and 82341055404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82341055441) 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 95 ways as a sum of consecutive naturals, for example, 2569597 + ... + 2601443.
It is an arithmetic number, because the mean of its divisors is an integer number (718745664).
Almost surely, 282341055440 is an apocalyptic number.
82341055440 is a gapful number since it is divisible by the number (80) 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 82341055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172498959360).
82341055440 is an abundant number, since it is smaller than the sum of its proper divisors (262656863280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82341055440 is a wasteful number, since it uses less digits than its factorization.
82341055440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31901 (or 31883 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
Adding to 82341055440 its reverse (4455014328), we get a palindrome (86796069768).
The spelling of 82341055440 in words is "eighty-two billion, three hundred forty-one million, fifty-five thousand, four hundred forty".
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