990840312
990,840,312 is an even composite number composed of six prime numbers multiplied together.
990840312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 990840312:
23 × 32 × 7 × 11 × 313 × 571
(2 × 2 × 2 × 3 × 3 × 7 × 11 × 313 × 571)See below for interesting mathematical facts about the number 990840312 from the Numbermatics database.
Names of 990840312
- Cardinal: 990840312 can be written as Nine hundred ninety million, eight hundred forty thousand, three hundred twelve.
Scientific notation
- Scientific notation: 9.90840312 × 108
Factors of 990840312
Divisors of 990840312
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 313 396 462 504 571 616 626 693 792 924 939 1142 1252 1386 1713 1848 1878 2191 2284 2504 2772 2817 3426 3443 3756 3997 4382 4568 5139 5544 5634 6281 6573 6852 6886 7512 7994 8764 10278 10329 11268 11991 12562 13146 13704 13772 15988 17528 18843 19719 20556 20658 22536 23982 24101 25124 26292 27544 30987 31976 35973 37686 39438 41112 41316 43967 47964 48202 50248 52584 56529 61974 71946 72303 75372 78876 82632 87934 95928 96404 113058 123948 131901 143892 144606 150744 157752 175868 178723 192808 216909 226116 247896 263802 287784 289212 351736 357446 395703 433818 452232 527604 536169 578424 714892 791406 867636 1055208 1072338 1251061 1429784 1582812 1608507 1735272 1965953 2144676 2502122 3165624 3217014 3753183 3931906 4289352 5004244 5897859 6434028 7506366 7863812 10008488 11259549 11795718 12868056 13761671 15012732 15727624 17693577 22519098 23591436 27523342 30025464 35387154 41285013 45038196 47182872 55046684 70774308 82570026 90076392 110093368 123855039 141548616 165140052 247710078 330280104 495420156 990840312
- Sum of all divisors σ(n): 3362261760
- Sum of proper divisors (its aliquot sum) s(n): 2371421448
- 990840312 is an abundant number, because the sum of its proper divisors (2371421448) is greater than itself. Its abundance is 1380581136
Bases of 990840312
- Binary: 1110110000111100000101111110002
- Hexadecimal: 0x3B0F05F8
- Base-36: GDX5A0
Squares and roots of 990840312
- 990840312 squared (9908403122) is 981764523884257344
- 990840312 cubed (9908403123) is 972771867156008998617251328
-
The
square root of 990840312 is 31477.6160469627 -
The
cube root of 990840312 is 996.9374007275
Scales and comparisons
How big is 990840312?- 990,840,312 seconds is equal to 31 years, 26 weeks, 2 days, 1 hour, 25 minutes, 12 seconds.
-
To count from 1 to 990,840,312 would take you about forty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 990840312 cubic inches would be around 83.1 feet tall.
Recreational maths with 990840312
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