993264000
993,264,000 is an even composite number composed of four prime numbers multiplied together.
993264000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 993264000:
27 × 3 × 53 × 20693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 20693)See below for interesting mathematical facts about the number 993264000 from the Numbermatics database.
Names of 993264000
- Cardinal: 993264000 can be written as Nine hundred ninety-three million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 9.93264 × 108
Factors of 993264000
Divisors of 993264000
- Number of divisors d(n): 128
-
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 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 20693 24000 41386 48000 62079 82772 103465 124158 165544 206930 248316 310395 331088 413860 496632 517325 620790 662176 827720 993264 1034650 1241580 1324352 1551975 1655440 1986528 2069300 2483160 2586625 2648704 3103950 3310880 3973056 4138600 4966320 5173250 6207900 6621760 7759875 7946112 8277200 9932640 10346500 12415800 13243520 15519750 16554400 19865280 20693000 24831600 31039500 33108800 39730560 41386000 49663200 62079000 66217600 82772000 99326400 124158000 165544000 198652800 248316000 331088000 496632000 993264000
- Sum of all divisors σ(n): 3292829280
- Sum of proper divisors (its aliquot sum) s(n): 2299565280
- 993264000 is an abundant number, because the sum of its proper divisors (2299565280) is greater than itself. Its abundance is 1306301280
Bases of 993264000
- Binary: 1110110011010000000001100000002
- Hexadecimal: 0x3B340180
- Base-36: GFD3EO
Squares and roots of 993264000
- 993264000 squared (9932640002) is 986573373696000000
- 993264000 cubed (9932640003) is 979927815450783744000000000
-
The
square root of 993264000 is 31516.0911281841 -
The
cube root of 993264000 is 997.7496061933
Scales and comparisons
How big is 993264000?- 993,264,000 seconds is equal to 31 years, 30 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 993,264,000 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 993264000 cubic inches would be around 83.1 feet tall.
Recreational maths with 993264000
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