12224827886336000

Names of 12224827886336000

• Cardinal: 12224827886336000 can be written as Twelve quadrillion, two hundred twenty-four trillion, eight hundred twenty-seven billion, eight hundred eighty-six million, three hundred thirty-six thousand.

Scientific notation

• Scientific notation: 1.2224827886336 × 10¹⁶

Factors of 12224827886336000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 140977

Divisors of 12224827886336000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 29 31 32 40 50 52 58 62 64 65 80 100 104 116 124 125 128 130 145 155 160 200 208 232 248 250 256 260 290 310 320 325 377 400 403 416 464 496 500 512 520 580 620 640 650 725 754 775 800 806 832 841 899 928 992 1000 1024 1040 1160 1240 1280 1300 1450 1508 1550 1600 1612 1625 1664 1682 1798 1856 1885 1984 2000 2015 2048 2080 2320 2480 2560 2600 2900 3016 3100 3200 3224 3250 3328 3364 3596 3625 3712 3770 3875 3968 4000 4030 4160 4205 4495 4640 4960 5120 5200 5800 6032 6200 6400 6448 6500 6656 6728 7192 7250 7424 7540 7750 7936 8000 8060 8320 8410 8990 9280 9425 9920 10075 10240 10400 10933 11600 11687 12064 12400 12800 12896 13000 13312 13456 14384 14500 14848 15080 15500 15872 16000 16120 16640 16820 17980 18560 18850 19840 20150 20800 21025 21866 22475 23200 23374 24128 24800 25600 25792 26000 26071 26624 26912 28768 29000 29696 30160 31000 31744 32000 32240 33280 33640 35960 37120 37700 39680 40300 41600 42050 43732 44950 46400 46748 47125 48256 49600 50375 51200 51584 52000 52142 53824 54665 57536 58000 58435 59392 60320 62000 63488 64000 64480 66560 67280 71920 74240 75400 79360 80600 83200 84100 87464 89900 92800 93496 94250 96512 99200 100750 103168 104000 104284 105125 107648 109330 112375 115072 116000 116870 120640 124000 128000 128960 130355 133120 134560 140897 143840 148480 150800 158720 161200 166400 168200 174928 179800 185600 186992 188500 193024 198400 201500 206336 208000 208568 210250 215296 218660 224750 230144 232000 233740 241280 248000 256000 257920 260710 269120 273325 281794 287680 292175 296960 301600 317440 322400 332800 336400 338923 349856 359600 371200 373984 377000 386048 396800 403000 412672 416000 417136 420500 430592 437320 449500 460288 464000 467480 482560 496000 515840 521420 538240 546650 563588 575360 584350 603200 644800 651775 665600 672800 677846 699712 704485 719200 742400 747968 754000 772096 793600 806000 825344 832000 834272 841000 861184 874640 899000 920576 928000 934960 965120 992000 1031680 1042840 1076480 1093300 1127176 1150720 1168700 1206400 1289600 1303550 1345600 1355692 1366625 1399424 1408970 1438400 1460875 1484800 1495936 1508000 1587200 1612000 1664000 1668544 1682000 1694615 1722368 1749280 1798000 1831661 1841152 1856000 1869920 1930240 1984000 2063360 2085680 2152960 2186600 2254352 2301440 2337400 2412800 2579200 2607100 2691200 2711384 2733250 2798848 2817940 2876800 2921750 2991872 3016000 3224000 3258875 3328000 3337088 3364000 3389230 3498560 3522425 3596000 3663322 3712000 3739840 3860480 3968000 4086013 4126720 4171360 4305920 4367807 4373200 4508704 4602880 4674800 4825600 5158400 5214200 5382400 5422768 5466500 5597696 5635880 5753600 5843500 5983744 6032000 6448000 6517750 6674176 6728000 6778460 6997120 7044850 7192000 7326644 7424000 7479680 7936000 8172026 8342720 8473075 8611840 8735614 8746400 9017408 9158305 9205760 9349600 9651200 10316800 10428400 10764800 10845536 10933000 11195392 11271760 11507200 11687000 11967488 12064000 12896000 13035500 13348352 13456000 13556920 13994240 14089700 14384000 14653288 14959360 16344052 16685440 16946150 17471228 17492800 17612125 18034816 18316610 18699200 19302400 20430065 20633600 20856800 21529600 21691072 21839035 21866000 22390784 22543520 23014400 23374000 23934976 24128000 25792000 26071000 26696704 26912000 27113840 27988480 28179400 28768000 29306576 29918720 32688104 33370880 33892300 34942456 34985600 35224250 36069632 36633220 37398400 40860130 41713600 42365375 43059200 43382144 43678070 43732000 45087040 45791525 46028800 46748000 48256000 51584000 52142000 53118169 53393408 53824000 54227680 55976960 56358800 56781491 57536000 58613152 59837440 65376208 66741760 67784600 69884912 69971200 70448500 72139264 73266440 74796800 81720260 83427200 84730750 86764288 87356140 87464000 90174080 91583050 93496000 96512000 102150325 103168000 104284000 106236338 107648000 108455360 109195175 111953920 112717600 113562982 115072000 117226304 118494377 119674880 126666403 130752416 133483520 135569200 139769824 139942400 140897000 144278528 146532880 149593600 163440520 166854400 169461500 173528576 174712280 174928000 180348160 183166100 186992000 204300650 208568000 212472676 215296000 216910720 218390350 225435200 227125964 228957625 230144000 234452608 236988754 253332806 261504832 265590845 266967040 271138400 279539648 279884800 281794000 283907455 288557056 293065760 299187200 326881040 333708800 338923000 347057152 349424560 349856000 360696320 366332200 373984000 408601300 417136000 424945352 433821440 436780700 450870400 454251928 457915250 468905216 473977508 506665612 510751625 523009664 531181690 542276800 545975875 559079296 559769600 563588000 567814910 586131520 592471885 598374400 633332015 653762080 667417600 677846000 694114304 698849120 699712000 721392640 732664400 747968000 817202600 834272000 849890704 867642880 873561400 901740800 908503856 915830500 937810432 947955016 1013331224 1021503250 1046019328 1062363380 1084553600 1091951750 1118158592 1127176000 1135629820 1172263040 1184943770 1266664030 1307524160 1327954225 1334835200 1355692000 1397698240 1399424000 1419537275 1442785280 1465328800 1495936000 1540426901 1634405200 1646663239 1668544000 1699781408 1735285760 1747122800 1803481600 1817007712 1831661000 1875620864 1895910032 2026662448 2043006500 2092038656 2124726760 2169107200 2183903500 2236317184 2254352000 2271259640 2344526080 2369887540 2533328060 2615048320 2655908450 2711384000 2795396480 2798848000 2839074550 2930657600 2962359425 2991872000 3080853802 3166660075 3268810400 3293326478 3337088000 3399562816 3470571520 3494245600 3606963200 3634015424 3663322000 3673325687 3751241728 3791820064 4053324896 4086013000 4184077312 4249453520 4338214400 4367807000 4472634368 4508704000 4542519280 4689052160 4739775080 5066656120 5230096640 5311816900 5422768000 5590792960 5678149100 5861315200 5924718850 6161707604 6333320150 6537620800 6586652956 6639771125 6674176000 6799125632 6988491200 7097686375 7213926400 7268030848 7326644000 7346651374 7583640128 7702134505 8106649792 8172026000 8233316195 8368154624 8498907040 8676428800 8735614000 8945268736 9017408000 9085038560 9378104320 9479550160 10133312240 10460193280 10623633800 10845536000 11181585920 11356298200 11722630400 11849437700 12323415208 12666640300 13075241600 13173305912 13279542250 13598251264 13976982400 14195372750 14536061696 14653288000 14693302748 14811797125 15167280256 15404269010 15833300375 16213299584 16344052000 16466632390 16997814080 17352857600 17471228000 18034816000 18170077120 18366628435 18756208640 18959100320 20266624480 20920386560 21247267600 21691072000 22363171840 22712596400 23445260800 23698875400 24646830416 25333280600 26150483200 26346611824 26559084500 27196502528 27953964800 28390745500 29072123392 29306576000 29386605496 29623594250 30334560512 30808538020 31666600750 32426599168 32688104000 32933264780 33995628160 34942456000 36069632000 36340154240 36733256870 37918200640 38510672525 40533248960 41166580975 41840773120 42494535200 43382144000 44726343680 45425192800 46890521600 47397750800 47753233931 49293660832 50666561200 52300966400 52693223648 53118169000 54393005056 55907929600 56781491000 58144246784 58613152000 58773210992 59247188500 60669121024 61617076040 63333201500 64853198336 65376208000 65866529560 67991256320 69884912000 72680308480 73466513740 75836401280 77021345050 81066497920 82333161950 84989070400 86764288000 90850385600 91833142175 93781043200 94795501600 95506467862 98587321664 101333122400 104601932800 105386447296 106236338000 108786010112 111815859200 113562982000 116288493568 117226304000 117546421984 118494377000 121338242048 123234152080 126666403000 129706396672 130752416000 131733059120 135982512640 139769824000 145360616960 146933027480 151672802560 154042690100 162132995840 164666323900 169978140800 181700771200 183666284350 189591003200 191012935724 192553362625 197174643328 202666244800 205832904875 209203865600 210772894592 212472676000 223631718400 227125964000 234452608000 235092843968 236988754000 238766169655 242676484096 246468304160 253332806000 259412793344 261504832000 263466118240 271965025280 279539648000 290721233920 293866054960 303345605120 308085380200 324265991680 329332647800 339956281600 363401542400 367332568700 379182006400 382025871448 385106725250 394349286656 405332489600 411665809750 421545789184 424945352000 454251928000 459165710875 468905216000 470185687936 473977508000 477532339310 492936608320 506665612000 523009664000 526932236480 543930050560 559079296000 581442467840 587732109920 606691210240 616170760400 648531983360 658665295600 679912563200 726803084800 734665137400 758364012800 764051742896 770213450500 788698573312 810664979200 823331619500 843091578368 849890704000 908503856000 918331421750 940371375872 947955016000 955064678620 985873216640 1013331224000 1046019328000 1053864472960 1118158592000 1175464219840 1193830848275 1213382420480 1232341520800 1297063966720 1317330591200 1359825126400 1453606169600 1469330274800 1516728025600 1528103485792 1540426901000 1577397146624 1621329958400 1646663239000 1686183156736 1699781408000 1817007712000 1836662843500 1880742751744 1895910032000 1910129357240 1971746433280 2026662448000 2107728945920 2350928439680 2387661696550 2464683041600 2634661182400 2719650252800 2907212339200 2938660549600 3033456051200 3056206971584 3080853802000 3154794293248 3242659916800 3293326478000 3372366313472 3399562816000 3634015424000 3673325687000 3761485503488 3791820064000 3820258714480 3943492866560 4053324896000 4215457891840 4701856879360 4775323393100 4929366083200 5269322364800 5877321099200 5969154241375 6066912102400 6112413943168 6161707604000 6485319833600 6586652956000 6799125632000 7268030848000 7346651374000 7522971006976 7583640128000 7640517428960 7886985733120 8106649792000 8430915783680 9403713758720 9550646786200 9858732166400 10538644729600 11754642198400 11938308482750 12224827886336 12323415208000 13173305912000 13598251264000 14536061696000 14693302748000 15167280256000 15281034857920 15773971466240 16213299584000 16861831567360 18807427517440 19101293572400 19717464332800 21077289459200 23509284396800 23876616965500 24449655772672 24646830416000 26346611824000 29386605496000 30334560512000 30562069715840 32426599168000 37614855034880 38202587144800 39434928665600 42154578918400 47018568793600 47753233931000 48899311545344 49293660832000 52693223648000 58773210992000 61124139431680 76405174289600 78869857331200 84309157836800 94037137587200 95506467862000 97798623090688 98587321664000 105386447296000 117546421984000 122248278863360 152810348579200 188074275174400 191012935724000 197174643328000 210772894592000 235092843968000 244496557726720 305620697158400 382025871448000 394349286656000 421545789184000 470185687936000 488993115453440 611241394316800 764051742896000 940371375872000 1222482788633600 1528103485792000 2444965577267200 3056206971584000 6112413943168000 12224827886336000
• Sum of all divisors σ(n): 35122021300154880
• Sum of proper divisors (its aliquot sum) s(n): 22897193413818880
• 12224827886336000 is an abundant number, because the sum of its proper divisors (22897193413818880) is greater than itself. Its abundance is 10672365527482880

Bases of 12224827886336000

• Binary: 101011011011100110101010001011100110101111100000000000₂
• Hexadecimal: 0x2B6E6A8B9AF800
• Base-36: 3CDC8EFTLA8

Squares and roots of 12224827886336000

• 12224827886336000 squared (12224827886336000²) is 149446416850538313335504896000000
• 12224827886336000 cubed (12224827886336000³) is 1826956724227455063037066799791059501056000000000
• The square root of 12224827886336000 is 110565943.6098476031
• The cube root of 12224827886336000 is 230363.8091479957

Scales and comparisons

• 12,224,827,886,336,000 seconds is equal to 388,711,712 years, 47 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 12,224,827,886,336,000 would take you about one billion, one hundred sixty-six million, one hundred thirty-five thousand, one hundred thirty-eight 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 12224827886336000 cubic inches would be around 19197 feet tall.

Recreational maths with 12224827886336000

• 12224827886336000 backwards is 00063368872842221
• 12224827886336000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12224827886336000's digits is 62
• More coming soon!