214380240
214,380,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 214380240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 160 divisors.
214380240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 214380240:
24 × 3 × 5 × 23 × 71 × 547
(2 × 2 × 2 × 2 × 3 × 5 × 23 × 71 × 547)See below for interesting mathematical facts about the number 214380240 from the Numbermatics database.
Names of 214380240
- Cardinal: 214380240 can be written as Two hundred fourteen million, three hundred eighty thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.1438024 × 108
Factors of 214380240
Divisors of 214380240
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 71 80 92 115 120 138 142 184 213 230 240 276 284 345 355 368 426 460 547 552 568 690 710 852 920 1065 1094 1104 1136 1380 1420 1633 1641 1704 1840 2130 2188 2735 2760 2840 3266 3282 3408 4260 4376 4899 5470 5520 5680 6532 6564 8165 8205 8520 8752 9798 10940 12581 13064 13128 16330 16410 17040 19596 21880 24495 25162 26128 26256 32660 32820 37743 38837 39192 43760 48990 50324 62905 65320 65640 75486 77674 78384 97980 100648 116511 125810 130640 131280 150972 155348 188715 194185 195960 201296 233022 251620 301944 310696 377430 388370 391920 466044 503240 582555 603888 621392 754860 776740 893251 932088 1006480 1165110 1509720 1553480 1786502 1864176 2330220 2679753 3019440 3106960 3573004 4466255 4660440 5359506 7146008 8932510 9320880 10719012 13398765 14292016 17865020 21438024 26797530 35730040 42876048 53595060 71460080 107190120 214380240
- Sum of all divisors σ(n): 704526336
- Sum of proper divisors (its aliquot sum) s(n): 490146096
- 214380240 is an abundant number, because the sum of its proper divisors (490146096) is greater than itself. Its abundance is 275765856
Bases of 214380240
- Binary: 11001100011100101110110100002
- Hexadecimal: 0xCC72ED0
- Base-36: 3JMWUO
Squares and roots of 214380240
- 214380240 squared (2143802402) is 45958887302457600
- 214380240 cubed (2143802403) is 9852677290033812877824000
-
The
square root of 214380240 is 14641.7294060503 -
The
cube root of 214380240 is 598.4964576367
Scales and comparisons
How big is 214380240?- 214,380,240 seconds is equal to 6 years, 42 weeks, 3 days, 6 hours, 4 minutes.
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To count from 1 to 214,380,240 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 214380240 cubic inches would be around 49.9 feet tall.
Recreational maths with 214380240
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