993120000
993,120,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 993120000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 180 divisors.
993120000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 993120000:
28 × 3 × 54 × 2069
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 2069)See below for interesting mathematical facts about the number 993120000 from the Numbermatics database.
Names of 993120000
- Cardinal: 993120000 can be written as Nine hundred ninety-three million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 9.9312 × 108
Factors of 993120000
Divisors of 993120000
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 625 640 750 768 800 960 1000 1200 1250 1280 1500 1600 1875 1920 2000 2069 2400 2500 3000 3200 3750 3840 4000 4138 4800 5000 6000 6207 6400 7500 8000 8276 9600 10000 10345 12000 12414 15000 16000 16552 19200 20000 20690 24000 24828 30000 31035 32000 33104 40000 41380 48000 49656 51725 60000 62070 66208 80000 82760 96000 99312 103450 120000 124140 132416 155175 160000 165520 198624 206900 240000 248280 258625 264832 310350 331040 397248 413800 480000 496560 517250 529664 620700 662080 775875 794496 827600 993120 1034500 1241400 1293125 1324160 1551750 1588992 1655200 1986240 2069000 2482800 2586250 2648320 3103500 3310400 3879375 3972480 4138000 4965600 5172500 6207000 6620800 7758750 7944960 8276000 9931200 10345000 12414000 13241600 15517500 16552000 19862400 20690000 24828000 31035000 33104000 39724800 41380000 49656000 62070000 66208000 82760000 99312000 124140000 165520000 198624000 248280000 331040000 496560000 993120000
- Sum of all divisors σ(n): 3304473480
- Sum of proper divisors (its aliquot sum) s(n): 2311353480
- 993120000 is an abundant number, because the sum of its proper divisors (2311353480) is greater than itself. Its abundance is 1318233480
Bases of 993120000
- Binary: 1110110011000111001111000000002
- Hexadecimal: 0x3B31CF00
- Base-36: GFA0AO
Squares and roots of 993120000
- 993120000 squared (9931200002) is 986287334400000000
- 993120000 cubed (9931200003) is 979501677539328000000000000
-
The
square root of 993120000 is 31513.8064981049 -
The
cube root of 993120000 is 997.7013870937
Scales and comparisons
How big is 993120000?- 993,120,000 seconds is equal to 31 years, 30 weeks, 10 hours, 40 minutes.
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To count from 1 to 993,120,000 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 993120000 cubic inches would be around 83.1 feet tall.
Recreational maths with 993120000
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