214542720
214,542,720 is an even composite number composed of six prime numbers multiplied together.
214542720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 214542720:
27 × 32 × 5 × 7 × 17 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 313)See below for interesting mathematical facts about the number 214542720 from the Numbermatics database.
Names of 214542720
- Cardinal: 214542720 can be written as Two hundred fourteen million, five hundred forty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.1454272 × 108
Factors of 214542720
Divisors of 214542720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 32 34 35 36 40 42 45 48 51 56 60 63 64 68 70 72 80 84 85 90 96 102 105 112 119 120 126 128 136 140 144 153 160 168 170 180 192 204 210 224 238 240 252 255 272 280 288 306 313 315 320 336 340 357 360 384 408 420 448 476 480 504 510 544 560 576 595 612 626 630 640 672 680 714 720 765 816 840 896 939 952 960 1008 1020 1071 1088 1120 1152 1190 1224 1252 1260 1344 1360 1428 1440 1530 1565 1632 1680 1785 1878 1904 1920 2016 2040 2142 2176 2191 2240 2380 2448 2504 2520 2688 2720 2817 2856 2880 3060 3130 3264 3360 3570 3756 3808 4032 4080 4284 4382 4480 4695 4760 4896 5008 5040 5321 5355 5440 5634 5712 5760 6120 6260 6528 6573 6720 7140 7512 7616 8064 8160 8568 8764 9390 9520 9792 10016 10080 10642 10710 10880 10955 11268 11424 12240 12520 13146 13440 14085 14280 15024 15232 15963 16320 17136 17528 18780 19040 19584 19719 20032 20160 21284 21420 21910 22536 22848 24480 25040 26292 26605 28170 28560 30048 31926 32640 32865 34272 35056 37247 37560 38080 39438 40064 40320 42568 42840 43820 45072 45696 47889 48960 50080 52584 53210 56340 57120 60096 63852 65730 68544 70112 74494 75120 76160 78876 79815 85136 85680 87640 90144 95778 97920 98595 100160 105168 106420 111741 112680 114240 120192 127704 131460 137088 140224 148988 150240 157752 159630 170272 171360 175280 180288 186235 191556 197190 200320 210336 212840 223482 225360 228480 239445 255408 262920 280448 297976 300480 315504 319260 335223 340544 342720 350560 360576 372470 383112 394380 420672 425680 446964 450720 478890 510816 525840 558705 595952 600960 631008 638520 670446 681088 685440 701120 744940 766224 788760 841344 851360 893928 901440 957780 1021632 1051680 1117410 1191904 1262016 1277040 1340892 1402240 1489880 1532448 1577520 1676115 1702720 1787856 1802880 1915560 2043264 2103360 2234820 2383808 2524032 2554080 2681784 2979760 3064896 3155040 3352230 3405440 3575712 3831120 4206720 4469640 4767616 5108160 5363568 5959520 6129792 6310080 6704460 7151424 7662240 8939280 10216320 10727136 11919040 12620160 13408920 14302848 15324480 17878560 21454272 23838080 26817840 30648960 35757120 42908544 53635680 71514240 107271360 214542720
- Sum of all divisors σ(n): 899346240
- Sum of proper divisors (its aliquot sum) s(n): 684803520
- 214542720 is an abundant number, because the sum of its proper divisors (684803520) is greater than itself. Its abundance is 470260800
Bases of 214542720
- Binary: 11001100100110101001100000002
- Hexadecimal: 0xCC9A980
- Base-36: 3JQE80
Squares and roots of 214542720
- 214542720 squared (2145427202) is 46028578704998400
- 214542720 cubed (2145427203) is 9875096473104434331648000
-
The
square root of 214542720 is 14647.2768800211 -
The
cube root of 214542720 is 598.6476207407
Scales and comparisons
How big is 214542720?- 214,542,720 seconds is equal to 6 years, 42 weeks, 5 days, 3 hours, 12 minutes.
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To count from 1 to 214,542,720 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 214542720 cubic inches would be around 49.9 feet tall.
Recreational maths with 214542720
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