468390000
468,390,000 is an even composite number composed of five prime numbers multiplied together.
468390000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 468390000:
24 × 3 × 54 × 13 × 1201
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 1201)See below for interesting mathematical facts about the number 468390000 from the Numbermatics database.
Names of 468390000
- Cardinal: 468390000 can be written as Four hundred sixty-eight million, three hundred ninety thousand.
Scientific notation
- Scientific notation: 4.6839 × 108
Factors of 468390000
Divisors of 468390000
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 625 650 750 780 975 1000 1040 1200 1201 1250 1300 1500 1560 1625 1875 1950 2000 2402 2500 2600 3000 3120 3250 3603 3750 3900 4804 4875 5000 5200 6000 6005 6500 7206 7500 7800 8125 9608 9750 10000 12010 13000 14412 15000 15600 15613 16250 18015 19216 19500 24020 24375 26000 28824 30000 30025 31226 32500 36030 39000 46839 48040 48750 57648 60050 62452 65000 72060 78000 78065 90075 93678 96080 97500 120100 124904 130000 144120 150125 156130 180150 187356 195000 234195 240200 249808 288240 300250 312260 360300 374712 390000 390325 450375 468390 480400 600500 624520 720600 749424 750625 780650 900750 936780 1170975 1201000 1249040 1441200 1501250 1561300 1801500 1873560 1951625 2251875 2341950 2402000 3002500 3122600 3603000 3747120 3903250 4503750 4683900 5854875 6005000 6245200 7206000 7806500 9007500 9367800 9758125 11709750 12010000 15613000 18015000 18735600 19516250 23419500 29274375 31226000 36030000 39032500 46839000 58548750 78065000 93678000 117097500 156130000 234195000 468390000
- Sum of all divisors σ(n): 1629690832
- Sum of proper divisors (its aliquot sum) s(n): 1161300832
- 468390000 is an abundant number, because the sum of its proper divisors (1161300832) is greater than itself. Its abundance is 692910832
Bases of 468390000
- Binary: 110111110101100010000011100002
- Hexadecimal: 0x1BEB1070
- Base-36: 7QV81C
Squares and roots of 468390000
- 468390000 squared (4683900002) is 219389192100000000
- 468390000 cubed (4683900003) is 102759703687719000000000000
-
The
square root of 468390000 is 21642.3196538633 -
The
cube root of 468390000 is 776.6092126775
Scales and comparisons
How big is 468390000?- 468,390,000 seconds is equal to 14 years, 46 weeks, 3 days, 4 hours, 20 minutes.
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To count from 1 to 468,390,000 would take you about twenty-two 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 468390000 cubic inches would be around 64.7 feet tall.
Recreational maths with 468390000
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