| Base | Representation |
|---|---|
| bin | 100101100001011000110111… |
| … | …1010011101111101110110000 |
| 3 | 1121021120221010010112012222100 |
| 4 | 1023002301233103233232300 |
| 5 | 321224421244042403130 |
| 6 | 3125540135110140400 |
| 7 | 126342626164642014 |
| oct | 11302615723575660 |
| 9 | 1537527103465870 |
| 10 | 330044334341040 |
| 11 | 9618701a552150 |
| 12 | 31024977951700 |
| 13 | 1122107c87a957 |
| 14 | 5b70333c96544 |
| 15 | 28253258d8c60 |
| hex | 12c2c6f4efbb0 |
330044334341040 has 240 divisors, whose sum is σ = 1209544076501280. Its totient is φ = 79985493688320.
The previous prime is 330044334341027. The next prime is 330044334341081. The reversal of 330044334341040 is 40143433440033.
330044334341040 is a `hidden beast` number, since 3 + 300 + 4 + 4 + 3 + 3 + 4 + 341 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
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 = 330044334340986 and 330044334341004.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18523494 + ... + 31673466.
It is an arithmetic number, because the mean of its divisors is an integer number (5039766985422).
Almost surely, 2330044334341040 is an apocalyptic number.
330044334341040 is a gapful number since it is divisible by the number (30) 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 330044334341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604772038250640).
330044334341040 is an abundant number, since it is smaller than the sum of its proper divisors (879499742160240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330044334341040 is a wasteful number, since it uses less digits than its factorization.
330044334341040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13153172 (or 13153163 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 36.
Adding to 330044334341040 its reverse (40143433440033), we get a palindrome (370187767781073).
The spelling of 330044334341040 in words is "three hundred thirty trillion, forty-four billion, three hundred thirty-four million, three hundred forty-one thousand, forty".
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