217942080
217,942,080 is an even composite number composed of five prime numbers multiplied together.
217942080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 217942080:
26 × 3 × 5 × 131 × 1733
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 131 × 1733)See below for interesting mathematical facts about the number 217942080 from the Numbermatics database.
Names of 217942080
- Cardinal: 217942080 can be written as Two hundred seventeen million, nine hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 2.1794208 × 108
Factors of 217942080
Divisors of 217942080
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1733 1965 2096 2620 3144 3466 3930 4192 5199 5240 6288 6932 7860 8384 8665 10398 10480 12576 13864 15720 17330 20796 20960 25152 25995 27728 31440 34660 41592 41920 51990 55456 62880 69320 83184 103980 110912 125760 138640 166368 207960 227023 277280 332736 415920 454046 554560 681069 831840 908092 1135115 1362138 1663680 1816184 2270230 2724276 3405345 3632368 4540460 5448552 6810690 7264736 9080920 10897104 13621380 14529472 18161840 21794208 27242760 36323680 43588416 54485520 72647360 108971040 217942080
- Sum of all divisors σ(n): 697650624
- Sum of proper divisors (its aliquot sum) s(n): 479708544
- 217942080 is an abundant number, because the sum of its proper divisors (479708544) is greater than itself. Its abundance is 261766464
Bases of 217942080
- Binary: 11001111110110001000010000002
- Hexadecimal: 0xCFD8840
- Base-36: 3LR96O
Squares and roots of 217942080
- 217942080 squared (2179420802) is 47498750234726400
- 217942080 cubed (2179420803) is 10351976423556759846912000
-
The
square root of 217942080 is 14762.8615112381 -
The
cube root of 217942080 is 601.7928596433
Scales and comparisons
How big is 217942080?- 217,942,080 seconds is equal to 6 years, 48 weeks, 2 days, 11 hours, 28 minutes.
-
To count from 1 to 217,942,080 would take you about ten 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 217942080 cubic inches would be around 50.1 feet tall.
Recreational maths with 217942080
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