993199080
993,199,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 993199080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 128 divisors.
993199080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 993199080:
23 × 3 × 5 × 31 × 313 × 853
(2 × 2 × 2 × 3 × 5 × 31 × 313 × 853)See below for interesting mathematical facts about the number 993199080 from the Numbermatics database.
Names of 993199080
- Cardinal: 993199080 can be written as Nine hundred ninety-three million, one hundred ninety-nine thousand and eighty.
Scientific notation
- Scientific notation: 9.9319908 × 108
Factors of 993199080
Divisors of 993199080
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 313 372 465 620 626 744 853 930 939 1240 1252 1565 1706 1860 1878 2504 2559 3130 3412 3720 3756 4265 4695 5118 6260 6824 7512 8530 9390 9703 10236 12520 12795 17060 18780 19406 20472 25590 26443 29109 34120 37560 38812 48515 51180 52886 58218 77624 79329 97030 102360 105772 116436 132215 145545 158658 194060 211544 232872 264430 266989 291090 317316 388120 396645 528860 533978 582180 634632 793290 800967 1057720 1067956 1164360 1334945 1586580 1601934 2135912 2669890 3173160 3203868 4004835 5339780 6407736 8009670 8276659 10679560 16019340 16553318 24829977 32038680 33106636 41383295 49659954 66213272 82766590 99319908 124149885 165533180 198639816 248299770 331066360 496599540 993199080
- Sum of all divisors σ(n): 3089157120
- Sum of proper divisors (its aliquot sum) s(n): 2095958040
- 993199080 is an abundant number, because the sum of its proper divisors (2095958040) is greater than itself. Its abundance is 1102758960
Bases of 993199080
- Binary: 1110110011001100000011111010002
- Hexadecimal: 0x3B3303E8
- Base-36: GFBPBC
Squares and roots of 993199080
- 993199080 squared (9931990802) is 986444412512846400
- 993199080 cubed (9931990803) is 979735682978899532661312000
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The
square root of 993199080 is 31515.0611612923 -
The
cube root of 993199080 is 997.7278679929
Scales and comparisons
How big is 993199080?- 993,199,080 seconds is equal to 31 years, 30 weeks, 1 day, 8 hours, 38 minutes.
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To count from 1 to 993,199,080 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 993199080 cubic inches would be around 83.1 feet tall.
Recreational maths with 993199080
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