998138496
998,138,496 is an even composite number composed of five prime numbers multiplied together.
What does the number 998138496 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.
998138496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 998138496:
27 × 3 × 31 × 191 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 31 × 191 × 439)See below for interesting mathematical facts about the number 998138496 from the Numbermatics database.
Names of 998138496
- Cardinal: 998138496 can be written as Nine hundred ninety-eight million, one hundred thirty-eight thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 9.98138496 × 108
Factors of 998138496
Divisors of 998138496
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 191 192 248 372 382 384 439 496 573 744 764 878 992 1146 1317 1488 1528 1756 1984 2292 2634 2976 3056 3512 3968 4584 5268 5921 5952 6112 7024 9168 10536 11842 11904 12224 13609 14048 17763 18336 21072 23684 24448 27218 28096 35526 36672 40827 42144 47368 54436 56192 71052 73344 81654 83849 84288 94736 108872 142104 163308 167698 168576 189472 217744 251547 284208 326616 335396 378944 435488 503094 568416 653232 670792 757888 870976 1006188 1136832 1306464 1341584 1741952 2012376 2273664 2599319 2612928 2683168 4024752 5198638 5225856 5366336 7797957 8049504 10397276 10732672 15595914 16099008 20794552 31191828 32198016 41589104 62383656 83178208 124767312 166356416 249534624 332712832 499069248 998138496
- Sum of all divisors σ(n): 2757427200
- Sum of proper divisors (its aliquot sum) s(n): 1759288704
- 998138496 is an abundant number, because the sum of its proper divisors (1759288704) is greater than itself. Its abundance is 761150208
Bases of 998138496
- Binary: 1110110111111001100010100000002
- Hexadecimal: 0x3B7E6280
- Base-36: GI9KLC
Squares and roots of 998138496
- 998138496 squared (9981384962) is 996280457197142016
- 998138496 cubed (9981384963) is 994425877140947707348647936
-
The
square root of 998138496 is 31593.3299289581 -
The
cube root of 998138496 is 999.3791132461
Scales and comparisons
How big is 998138496?- 998,138,496 seconds is equal to 31 years, 38 weeks, 2 days, 12 hours, 41 minutes, 36 seconds.
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To count from 1 to 998,138,496 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 998138496 cubic inches would be around 83.3 feet tall.
Recreational maths with 998138496
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