420998984
420,998,984 is an even composite number composed of five prime numbers multiplied together.
420998984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 420998984:
23 × 72 × 59 × 109 × 167
(2 × 2 × 2 × 7 × 7 × 59 × 109 × 167)See below for interesting mathematical facts about the number 420998984 from the Numbermatics database.
Names of 420998984
- Cardinal: 420998984 can be written as Four hundred twenty million, nine hundred ninety-eight thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.20998984 × 108
Factors of 420998984
Divisors of 420998984
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 7 8 14 28 49 56 59 98 109 118 167 196 218 236 334 392 413 436 472 668 763 826 872 1169 1336 1526 1652 2338 2891 3052 3304 4676 5341 5782 6104 6431 8183 9352 9853 10682 11564 12862 16366 18203 19706 21364 23128 25724 32732 36406 39412 42728 45017 51448 65464 68971 72812 78824 90034 127421 137942 145624 180068 254842 275884 315119 360136 482797 509684 551768 630238 891947 965594 1019368 1073977 1260476 1783894 1931188 2147954 2520952 3567788 3862376 4295908 7135576 7517839 8591816 15035678 30071356 52624873 60142712 105249746 210499492 420998984
- Sum of all divisors σ(n): 948024000
- Sum of proper divisors (its aliquot sum) s(n): 527025016
- 420998984 is an abundant number, because the sum of its proper divisors (527025016) is greater than itself. Its abundance is 106026032
Bases of 420998984
- Binary: 110010001011111101111010010002
- Hexadecimal: 0x1917EF48
- Base-36: 6YNGW8
Squares and roots of 420998984
- 420998984 squared (4209989842) is 177240144529032256
- 420998984 cubed (4209989843) is 74617920770735738279227904
-
The
square root of 420998984 is 20518.2597702631 -
The
cube root of 420998984 is 749.4805196775
Scales and comparisons
How big is 420998984?- 420,998,984 seconds is equal to 13 years, 20 weeks, 16 hours, 9 minutes, 44 seconds.
-
To count from 1 to 420,998,984 would take you about twenty 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 420998984 cubic inches would be around 62.5 feet tall.
Recreational maths with 420998984
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