988149120
988,149,120 is an even composite number composed of five prime numbers multiplied together.
988149120 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 988149120:
27 × 3 × 5 × 7 × 73523
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 73523)See below for interesting mathematical facts about the number 988149120 from the Numbermatics database.
Names of 988149120
- Cardinal: 988149120 can be written as Nine hundred eighty-eight million, one hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.8814912 × 108
Factors of 988149120
Divisors of 988149120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 73523 147046 220569 294092 367615 441138 514661 588184 735230 882276 1029322 1102845 1176368 1470460 1543983 1764552 2058644 2205690 2352736 2573305 2940920 3087966 3529104 4117288 4411380 4705472 5146610 5881840 6175932 7058208 7719915 8234576 8822760 9410944 10293220 11763680 12351864 14116416 15439830 16469152 17645520 20586440 23527360 24703728 28232832 30879660 32938304 35291040 41172880 47054720 49407456 61759320 65876608 70582080 82345760 98814912 123518640 141164160 164691520 197629824 247037280 329383040 494074560 988149120
- Sum of all divisors σ(n): 3599735040
- Sum of proper divisors (its aliquot sum) s(n): 2611585920
- 988149120 is an abundant number, because the sum of its proper divisors (2611585920) is greater than itself. Its abundance is 1623436800
Bases of 988149120
- Binary: 1110101110010111110101100000002
- Hexadecimal: 0x3AE5F580
- Base-36: GCBGQO
Squares and roots of 988149120
- 988149120 squared (9881491202) is 976438683356774400
- 988149120 cubed (9881491203) is 964867025692955269398528000
-
The
square root of 988149120 is 31434.8392711017 -
The
cube root of 988149120 is 996.0339982911
Scales and comparisons
How big is 988149120?- 988,149,120 seconds is equal to 31 years, 21 weeks, 5 days, 21 hours, 52 minutes.
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To count from 1 to 988,149,120 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 988149120 cubic inches would be around 83 feet tall.
Recreational maths with 988149120
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