213841200
213,841,200 is an even composite number composed of six prime numbers multiplied together.
213841200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 213841200:
24 × 3 × 52 × 19 × 83 × 113
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 83 × 113)See below for interesting mathematical facts about the number 213841200 from the Numbermatics database.
Names of 213841200
- Cardinal: 213841200 can be written as Two hundred thirteen million, eight hundred forty-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.138412 × 108
Factors of 213841200
Divisors of 213841200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 83 95 100 113 114 120 150 152 166 190 200 226 228 240 249 285 300 304 332 339 380 400 415 452 456 475 498 565 570 600 664 678 760 830 904 912 950 996 1130 1140 1200 1245 1328 1356 1425 1520 1577 1660 1695 1808 1900 1992 2075 2147 2260 2280 2490 2712 2825 2850 3154 3320 3390 3800 3984 4150 4294 4520 4560 4731 4980 5424 5650 5700 6225 6308 6441 6640 6780 7600 7885 8300 8475 8588 9040 9379 9462 9960 10735 11300 11400 12450 12616 12882 13560 15770 16600 16950 17176 18758 18924 19920 21470 22600 22800 23655 24900 25232 25764 27120 28137 31540 32205 33200 33900 34352 37516 37848 39425 42940 45200 46895 47310 49800 51528 53675 56274 63080 64410 67800 75032 75696 78850 85880 93790 94620 99600 103056 107350 112548 118275 126160 128820 135600 140685 150064 157700 161025 171760 178201 187580 189240 214700 225096 234475 236550 257640 281370 315400 322050 356402 375160 378480 429400 450192 468950 473100 515280 534603 562740 630800 644100 703425 712804 750320 858800 891005 937900 946200 1069206 1125480 1288200 1406850 1425608 1782010 1875800 1892400 2138412 2250960 2576400 2673015 2813700 2851216 3564020 3751600 4276824 4455025 5346030 5627400 7128040 8553648 8910050 10692060 11254800 13365075 14256080 17820100 21384120 26730150 35640200 42768240 53460300 71280400 106920600 213841200
- Sum of all divisors σ(n): 736202880
- Sum of proper divisors (its aliquot sum) s(n): 522361680
- 213841200 is an abundant number, because the sum of its proper divisors (522361680) is greater than itself. Its abundance is 308520480
Bases of 213841200
- Binary: 11001011111011110101001100002
- Hexadecimal: 0xCBEF530
- Base-36: 3JBCXC
Squares and roots of 213841200
- 213841200 squared (2138412002) is 45728058817440000
- 213841200 cubed (2138412003) is 9778542971191950528000000
-
The
square root of 213841200 is 14623.3101587841 -
The
cube root of 213841200 is 597.9944146263
Scales and comparisons
How big is 213841200?- 213,841,200 seconds is equal to 6 years, 41 weeks, 4 days, 20 minutes.
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To count from 1 to 213,841,200 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 213841200 cubic inches would be around 49.8 feet tall.
Recreational maths with 213841200
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