214034400
214,034,400 is an even composite number composed of four prime numbers multiplied together.
214034400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 214034400:
25 × 36 × 52 × 367
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 367)See below for interesting mathematical facts about the number 214034400 from the Numbermatics database.
Names of 214034400
- Cardinal: 214034400 can be written as Two hundred fourteen million, thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.140344 × 108
Factors of 214034400
Divisors of 214034400
- Number of divisors d(n): 252
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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 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 243 270 288 300 324 360 367 400 405 432 450 480 486 540 600 648 675 720 729 734 800 810 864 900 972 1080 1101 1200 1215 1296 1350 1440 1458 1468 1620 1800 1835 1944 2025 2160 2202 2400 2430 2592 2700 2916 2936 3240 3303 3600 3645 3670 3888 4050 4320 4404 4860 5400 5505 5832 5872 6075 6480 6606 7200 7290 7340 7776 8100 8808 9175 9720 9909 10800 11010 11664 11744 12150 12960 13212 14580 14680 16200 16515 17616 18225 18350 19440 19818 21600 22020 23328 24300 26424 27525 29160 29360 29727 32400 33030 35232 36450 36700 38880 39636 44040 48600 49545 52848 55050 58320 58720 59454 64800 66060 72900 73400 79272 82575 88080 89181 97200 99090 105696 110100 116640 118908 132120 145800 146800 148635 158544 165150 176160 178362 194400 198180 220200 237816 247725 264240 267543 291600 293600 297270 317088 330300 356724 396360 440400 445905 475632 495450 528480 535086 583200 594540 660600 713448 743175 792720 880800 891810 951264 990900 1070172 1189080 1321200 1337715 1426896 1486350 1585440 1783620 1981800 2140344 2229525 2378160 2642400 2675430 2853792 2972700 3567240 3963600 4280688 4459050 4756320 5350860 5945400 6688575 7134480 7927200 8561376 8918100 10701720 11890800 13377150 14268960 17836200 21403440 23781600 26754300 35672400 42806880 53508600 71344800 107017200 214034400
- Sum of all divisors σ(n): 785543472
- Sum of proper divisors (its aliquot sum) s(n): 571509072
- 214034400 is an abundant number, because the sum of its proper divisors (571509072) is greater than itself. Its abundance is 357474672
Bases of 214034400
- Binary: 11001100000111100111111000002
- Hexadecimal: 0xCC1E7E0
- Base-36: 3JFI00
Squares and roots of 214034400
- 214034400 squared (2140344002) is 45810724383360000
- 214034400 cubed (2140344003) is 9805070906957827584000000
-
The
square root of 214034400 is 14629.9145588755 -
The
cube root of 214034400 is 598.1744512529
Scales and comparisons
How big is 214034400?- 214,034,400 seconds is equal to 6 years, 41 weeks, 6 days, 6 hours.
-
To count from 1 to 214,034,400 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 214034400 cubic inches would be around 49.8 feet tall.
Recreational maths with 214034400
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