216142080
216,142,080 is an even composite number composed of seven prime numbers multiplied together.
216142080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 216142080:
28 × 3 × 5 × 7 × 11 × 17 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 17 × 43)See below for interesting mathematical facts about the number 216142080 from the Numbermatics database.
Names of 216142080
- Cardinal: 216142080 can be written as Two hundred sixteen million, one hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 2.1614208 × 108
Factors of 216142080
Divisors of 216142080
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 32 33 34 35 40 42 43 44 48 51 55 56 60 64 66 68 70 77 80 84 85 86 88 96 102 105 110 112 119 120 128 129 132 136 140 154 160 165 168 170 172 176 187 192 204 210 215 220 224 231 238 240 255 256 258 264 272 280 301 308 320 330 336 340 344 352 357 374 384 385 408 420 430 440 448 462 473 476 480 510 516 528 544 560 561 595 602 616 640 645 660 672 680 688 704 714 731 748 768 770 816 840 860 880 896 903 924 935 946 952 960 1020 1032 1056 1088 1120 1122 1155 1190 1204 1232 1280 1290 1309 1320 1344 1360 1376 1408 1419 1428 1462 1496 1505 1540 1632 1680 1720 1760 1785 1792 1806 1848 1870 1892 1904 1920 2040 2064 2112 2176 2193 2240 2244 2310 2365 2380 2408 2464 2580 2618 2640 2688 2720 2752 2805 2816 2838 2856 2924 2992 3010 3080 3264 3311 3360 3440 3520 3570 3612 3655 3696 3740 3784 3808 3840 3927 4080 4128 4224 4352 4386 4480 4488 4515 4620 4730 4760 4816 4928 5117 5160 5236 5280 5376 5440 5504 5610 5676 5712 5848 5984 6020 6160 6528 6545 6622 6720 6880 7040 7095 7140 7224 7310 7392 7480 7568 7616 7854 8041 8160 8256 8448 8772 8960 8976 9030 9240 9460 9520 9632 9856 9933 10234 10320 10472 10560 10880 10965 11008 11220 11352 11424 11696 11968 12040 12320 13056 13090 13244 13440 13760 14080 14190 14280 14448 14620 14784 14960 15136 15232 15351 15708 16082 16320 16512 16555 17544 17952 18060 18480 18920 19040 19264 19635 19712 19866 20468 20640 20944 21120 21760 21930 22440 22704 22848 23392 23936 24080 24123 24640 25585 26180 26488 26880 27520 28380 28560 28896 29240 29568 29920 30272 30464 30702 31416 32164 32640 33024 33110 35088 35904 36120 36960 37840 38080 38528 39270 39732 40205 40936 41280 41888 42240 43860 44880 45408 45696 46784 47872 48160 48246 49280 49665 51170 52360 52976 55040 56287 56760 57120 57792 58480 59136 59840 60544 61404 62832 64328 65280 66220 70176 71808 72240 73920 75680 76160 76755 77056 78540 79464 80410 81872 82560 83776 87720 89760 90816 91392 93568 96320 96492 98560 99330 102340 104720 105952 112574 113520 114240 115584 116960 119680 120615 121088 122808 125664 128656 132440 140352 143616 144480 147840 151360 152320 153510 157080 158928 160820 163744 165120 167552 168861 175440 179520 181632 187136 192640 192984 198660 204680 209440 211904 225148 227040 228480 231168 233920 239360 241230 245616 251328 257312 264880 280704 281435 288960 295680 302720 307020 314160 317856 321640 327488 335104 337722 350880 359040 363264 385280 385968 397320 409360 418880 423808 450296 454080 456960 467840 482460 491232 502656 514624 529760 561408 562870 577920 605440 614040 628320 635712 643280 654976 675444 701760 718080 771936 794640 818720 837760 844305 847616 900592 908160 935680 964920 982464 1005312 1029248 1059520 1125740 1155840 1228080 1256640 1271424 1286560 1309952 1350888 1403520 1543872 1589280 1637440 1675520 1688610 1801184 1816320 1929840 1964928 2058496 2119040 2251480 2456160 2513280 2542848 2573120 2701776 2807040 3087744 3178560 3274880 3377220 3602368 3859680 3929856 4238080 4502960 4912320 5026560 5146240 5403552 6175488 6357120 6549760 6754440 7204736 7719360 9005920 9824640 10292480 10807104 12714240 13508880 14409472 15438720 18011840 19649280 21614208 27017760 30877440 36023680 43228416 54035520 72047360 108071040 216142080
- Sum of all divisors σ(n): 932456448
- Sum of proper divisors (its aliquot sum) s(n): 716314368
- 216142080 is an abundant number, because the sum of its proper divisors (716314368) is greater than itself. Its abundance is 500172288
Bases of 216142080
- Binary: 11001110001000010001000000002
- Hexadecimal: 0xCE21100
- Base-36: 3KOOAO
Squares and roots of 216142080
- 216142080 squared (2161420802) is 46717398746726400
- 216142080 cubed (2161420803) is 10097595737306837286912000
-
The
square root of 216142080 is 14701.7713218509 -
The
cube root of 216142080 is 600.1315267215
Scales and comparisons
How big is 216142080?- 216,142,080 seconds is equal to 6 years, 45 weeks, 2 days, 15 hours, 28 minutes.
-
To count from 1 to 216,142,080 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 216142080 cubic inches would be around 50 feet tall.
Recreational maths with 216142080
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The information we have on file for 216142080 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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