| Base | Representation |
|---|---|
| bin | 1011111011110011111… |
| … | …1111010000100011000 |
| 3 | 201121020012021021022110 |
| 4 | 2332330333322010120 |
| 5 | 11324402242114230 |
| 6 | 234105205152320 |
| 7 | 20545641033030 |
| oct | 2767477720430 |
| 9 | 647205237273 |
| 10 | 205034332440 |
| 11 | 79a55598723 |
| 12 | 338a16bb6a0 |
| 13 | 1644730ba02 |
| 14 | 9cd095c8c0 |
| 15 | 550040d4b0 |
| hex | 2fbcffa118 |
205034332440 has 128 divisors (see below), whose sum is σ = 704006069760. Its totient is φ = 46796242944.
The previous prime is 205034332421. The next prime is 205034332493. The reversal of 205034332440 is 44233430502.
205034332440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 205034332398 and 205034332407.
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 31 ways as a sum of consecutive naturals, for example, 395032 + ... + 752408.
It is an arithmetic number, because the mean of its divisors is an integer number (5500047420).
Almost surely, 2205034332440 is an apocalyptic number.
205034332440 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 205034332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352003034880).
205034332440 is an abundant number, since it is smaller than the sum of its proper divisors (498971737320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205034332440 is a wasteful number, since it uses less digits than its factorization.
205034332440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358081 (or 358077 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 30.
Adding to 205034332440 its reverse (44233430502), we get a palindrome (249267762942).
The spelling of 205034332440 in words is "two hundred five billion, thirty-four million, three hundred thirty-two thousand, four hundred forty".
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