214142400
214,142,400 is an even composite number composed of four prime numbers multiplied together.
214142400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 214142400:
26 × 33 × 52 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 4957)See below for interesting mathematical facts about the number 214142400 from the Numbermatics database.
Names of 214142400
- Cardinal: 214142400 can be written as Two hundred fourteen million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.141424 × 108
Factors of 214142400
Divisors of 214142400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 135 144 150 160 180 192 200 216 225 240 270 288 300 320 360 400 432 450 480 540 576 600 675 720 800 864 900 960 1080 1200 1350 1440 1600 1728 1800 2160 2400 2700 2880 3600 4320 4800 4957 5400 7200 8640 9914 10800 14400 14871 19828 21600 24785 29742 39656 43200 44613 49570 59484 74355 79312 89226 99140 118968 123925 133839 148710 158624 178452 198280 223065 237936 247850 267678 297420 317248 356904 371775 396560 446130 475872 495700 535356 594840 669195 713808 743550 793120 892260 951744 991400 1070712 1115325 1189680 1338390 1427616 1487100 1586240 1784520 1982800 2141424 2230650 2379360 2676780 2855232 2974200 3345975 3569040 3965600 4282848 4461300 4758720 5353560 5948400 6691950 7138080 7931200 8565696 8922600 10707120 11896800 13383900 14276160 17845200 21414240 23793600 26767800 35690400 42828480 53535600 71380800 107071200 214142400
- Sum of all divisors σ(n): 780785840
- Sum of proper divisors (its aliquot sum) s(n): 566643440
- 214142400 is an abundant number, because the sum of its proper divisors (566643440) is greater than itself. Its abundance is 352501040
Bases of 214142400
- Binary: 11001100001110001101110000002
- Hexadecimal: 0xCC38DC0
- Base-36: 3JHTC0
Squares and roots of 214142400
- 214142400 squared (2141424002) is 45856967477760000
- 214142400 cubed (2141424003) is 9819921072409473024000000
-
The
square root of 214142400 is 14633.6051607251 -
The
cube root of 214142400 is 598.2750456397
Scales and comparisons
How big is 214142400?- 214,142,400 seconds is equal to 6 years, 42 weeks, 12 hours.
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To count from 1 to 214,142,400 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 214142400 cubic inches would be around 49.9 feet tall.
Recreational maths with 214142400
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