214315200
214,315,200 is an even composite number composed of five prime numbers multiplied together.
214315200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 214315200:
26 × 33 × 52 × 112 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 41)See below for interesting mathematical facts about the number 214315200 from the Numbermatics database.
Names of 214315200
- Cardinal: 214315200 can be written as Two hundred fourteen million, three hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 2.143152 × 108
Factors of 214315200
Divisors of 214315200
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 41 44 45 48 50 54 55 60 64 66 72 75 80 82 88 90 96 99 100 108 110 120 121 123 132 135 144 150 160 164 165 176 180 192 198 200 205 216 220 225 240 242 246 264 270 275 288 297 300 320 328 330 352 360 363 369 396 400 410 432 440 450 451 480 484 492 495 528 540 550 576 594 600 605 615 656 660 675 704 720 726 738 792 800 820 825 864 880 900 902 960 968 984 990 1025 1056 1080 1089 1100 1107 1188 1200 1210 1230 1312 1320 1350 1353 1440 1452 1476 1485 1584 1600 1640 1650 1728 1760 1800 1804 1815 1845 1936 1968 1980 2050 2112 2160 2178 2200 2214 2255 2376 2400 2420 2460 2475 2624 2640 2700 2706 2880 2904 2952 2970 3025 3075 3168 3267 3280 3300 3520 3600 3608 3630 3690 3872 3936 3960 4059 4100 4320 4356 4400 4428 4510 4752 4800 4840 4920 4950 4961 5280 5400 5412 5445 5535 5808 5904 5940 6050 6150 6336 6534 6560 6600 6765 7200 7216 7260 7380 7425 7744 7872 7920 8118 8200 8640 8712 8800 8856 9020 9075 9225 9504 9680 9840 9900 9922 10560 10800 10824 10890 11070 11275 11616 11808 11880 12100 12177 12300 13068 13120 13200 13530 14400 14432 14520 14760 14850 14883 15840 16236 16335 16400 17424 17600 17712 18040 18150 18450 19008 19360 19680 19800 19844 20295 21600 21648 21780 22140 22550 23232 23616 23760 24200 24354 24600 24805 26136 26400 27060 27225 27675 28864 29040 29520 29700 29766 31680 32472 32670 32800 33825 34848 35424 36080 36300 36900 38720 39360 39600 39688 40590 43200 43296 43560 44280 44649 45100 47520 48400 48708 49200 49610 52272 52800 54120 54450 55350 58080 59040 59400 59532 60885 64944 65340 65600 67650 69696 70848 72160 72600 73800 74415 79200 79376 81180 81675 86592 87120 88560 89298 90200 95040 96800 97416 98400 99220 101475 104544 108240 108900 110700 116160 118080 118800 119064 121770 124025 129888 130680 133947 135300 144320 145200 147600 148830 158400 158752 162360 163350 174240 177120 178596 180400 193600 194832 196800 198440 202950 209088 216480 217800 221400 223245 237600 238128 243540 248050 259776 261360 267894 270600 290400 295200 297660 304425 317504 324720 326700 348480 354240 357192 360800 372075 389664 396880 405900 432960 435600 442800 446490 475200 476256 487080 496100 522720 535788 541200 580800 590400 595320 608850 649440 653400 669735 714384 721600 744150 779328 793760 811800 871200 885600 892980 952512 974160 992200 1045440 1071576 1082400 1116225 1190640 1217700 1298880 1306800 1339470 1428768 1488300 1587520 1623600 1742400 1771200 1785960 1948320 1984400 2143152 2164800 2232450 2381280 2435400 2613600 2678940 2857536 2976600 3247200 3348675 3571920 3896640 3968800 4286304 4464900 4762560 4870800 5227200 5357880 5953200 6494400 6697350 7143840 7937600 8572608 8929800 9741600 10715760 11906400 13394700 14287680 17859600 19483200 21431520 23812800 26789400 35719200 42863040 53578800 71438400 107157600 214315200
- Sum of all divisors σ(n): 879683280
- Sum of proper divisors (its aliquot sum) s(n): 665368080
- 214315200 is an abundant number, because the sum of its proper divisors (665368080) is greater than itself. Its abundance is 451052880
Bases of 214315200
- Binary: 11001100011000110000110000002
- Hexadecimal: 0xCC630C0
- Base-36: 3JLIO0
Squares and roots of 214315200
- 214315200 squared (2143152002) is 45931004951040000
- 214315200 cubed (2143152003) is 9843712512283127808000000
-
The
square root of 214315200 is 14639.5081884605 -
The
cube root of 214315200 is 598.4359263321
Scales and comparisons
How big is 214315200?- 214,315,200 seconds is equal to 6 years, 42 weeks, 2 days, 12 hours.
-
To count from 1 to 214,315,200 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 214315200 cubic inches would be around 49.9 feet tall.
Recreational maths with 214315200
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