| Base | Representation |
|---|---|
| bin | 11000001000111100111… |
| … | …10100000000000000000 |
| 3 | 2221021221002200200210000 |
| 4 | 30010132132200000000 |
| 5 | 102042143120000000 |
| 6 | 1433012305440000 |
| 7 | 113632203446553 |
| oct | 14043636400000 |
| 9 | 2837832620700 |
| 10 | 829440000000 |
| 11 | 29a844290507 |
| 12 | 114901940000 |
| 13 | 602a630c711 |
| 14 | 2c20627a69a |
| 15 | 16897ba0000 |
| hex | c11e7a0000 |
829440000000 has 720 divisors, whose sum is σ = 3097580253768. Its totient is φ = 221184000000.
The previous prime is 829439999981. The next prime is 829440000001. The reversal of 829440000000 is 44928.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 500312899584 + 329127100416 = 707328^2 + 573696^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 12000 × 7200 × 9600.
It is not an unprimeable number, because it can be changed into a prime (829440000001) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165887999998 + ... + 165888000002.
Almost surely, 2829440000000 is an apocalyptic number.
829440000000 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 829440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548790126884).
829440000000 is an abundant number, since it is smaller than the sum of its proper divisors (2268140253768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
829440000000 is an frugal number, since it uses more digits than its factorization.
829440000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Adding to 829440000000 its reverse (44928), we get a palindrome (829440044928).
The spelling of 829440000000 in words is "eight hundred twenty-nine billion, four hundred forty million", and thus it is an aban number.
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