121968
121,968 is an even composite number composed of four prime numbers multiplied together.
121968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 121968:
24 × 32 × 7 × 112
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11)See below for interesting mathematical facts about the number 121968 from the Numbermatics database.
Names of 121968
- Cardinal: 121968 can be written as One hundred twenty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.21968 × 105
Factors of 121968
Divisors of 121968
- Number of divisors d(n): 90
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 121 126 132 144 154 168 176 198 231 242 252 264 308 336 363 396 462 484 504 528 616 693 726 792 847 924 968 1008 1089 1232 1386 1452 1584 1694 1848 1936 2178 2541 2772 2904 3388 3696 4356 5082 5544 5808 6776 7623 8712 10164 11088 13552 15246 17424 20328 30492 40656 60984 121968
- Sum of all divisors σ(n): 428792
- Sum of proper divisors (its aliquot sum) s(n): 306824
- 121968 is an abundant number, because the sum of its proper divisors (306824) is greater than itself. Its abundance is 184856
Bases of 121968
- Binary: 111011100011100002
- Hexadecimal: 0x1DC70
- Base-36: 2M40
Squares and roots of 121968
- 121968 squared (1219682) is 14876193024
- 121968 cubed (1219683) is 1814419510751232
-
The
square root of 121968 is 349.2391730605 -
The
cube root of 121968 is 49.5924199307
Scales and comparisons
How big is 121968?- 121,968 seconds is equal to 1 day, 9 hours, 52 minutes, 48 seconds.
-
To count from 1 to 121,968 would take you about nine hours.
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 121968 cubic inches would be around 4.1 feet tall.
Recreational maths with 121968
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The information we have on file for 121968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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