42189938876800
42,189,938,876,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42189938876800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
42189938876800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42189938876800:
27 × 52 × 112 × 13 × 17 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 17 × 79 × 79 × 79)See below for interesting mathematical facts about the number 42189938876800 from the Numbermatics database.
Names of 42189938876800
- Cardinal: 42189938876800 can be written as Forty-two trillion, one hundred eighty-nine billion, nine hundred thirty-eight million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21899388768 × 1013
Factors of 42189938876800
Divisors of 42189938876800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 32 34 40 44 50 52 55 64 65 68 79 80 85 88 100 104 110 121 128 130 136 143 158 160 170 176 187 200 208 220 221 242 260 272 275 286 316 320 325 340 352 374 395 400 416 425 440 442 484 520 544 550 572 605 632 640 650 680 704 715 748 790 800 832 850 869 880 884 935 968 1027 1040 1088 1100 1105 1144 1210 1264 1300 1343 1360 1408 1430 1496 1573 1580 1600 1664 1700 1738 1760 1768 1870 1936 1975 2054 2057 2080 2176 2200 2210 2288 2420 2431 2528 2600 2686 2720 2860 2992 3025 3146 3160 3200 3400 3476 3520 3536 3575 3740 3872 3950 4108 4114 4160 4345 4400 4420 4576 4675 4840 4862 5056 5135 5200 5372 5440 5525 5720 5984 6050 6241 6292 6320 6715 6800 6952 7040 7072 7150 7480 7744 7865 7900 8216 8228 8320 8690 8800 8840 9152 9350 9559 9680 9724 10112 10270 10285 10400 10744 10880 11050 11297 11440 11968 12100 12155 12482 12584 12640 13430 13600 13904 14144 14300 14773 14960 15488 15730 15800 16432 16456 17380 17459 17600 17680 18304 18700 19118 19360 19448 20540 20570 20800 21488 21725 22100 22594 22880 23936 24200 24310 24964 25168 25280 25675 26741 26860 27200 27808 28288 28600 29546 29920 31205 31460 31600 32864 32912 33575 34760 34918 35200 35360 37400 38236 38720 38896 39325 41080 41140 41600 42976 43450 44200 45188 45760 47795 48400 48620 49928 50336 50560 51350 51425 53482 53720 54400 55616 56485 57200 59092 59840 60775 62410 62920 63200 65728 65824 67150 68651 69520 69836 70720 73865 74800 76472 77440 77792 78650 81133 82160 82280 85952 86900 87295 88400 90376 91520 95590 96800 97240 99856 100672 102700 102850 106097 106964 107440 111232 112970 114400 118184 119680 121550 124267 124820 125840 126400 131456 131648 133705 134300 137302 139040 139672 141440 147730 149600 152944 155584 156025 157300 162266 162503 164320 164560 171904 173800 174590 176800 180752 191180 192049 193600 194480 199712 201344 205400 205700 212194 213928 214880 225940 228800 236368 238975 243100 248534 249640 251680 252800 263296 267410 268600 274604 278080 279344 282425 295460 299200 305888 311168 312050 314600 324532 325006 328640 329120 343255 347600 349180 353600 361504 369325 382360 384098 387200 388960 399424 405665 410800 411400 424388 427856 429760 436475 451880 457600 472736 477950 486200 493039 497068 499280 503360 530485 534820 537200 549208 556160 558688 564850 590920 598400 611776 621335 624100 629200 649064 650012 657280 658240 668525 686510 695200 698360 707200 723008 738650 755161 764720 768196 777920 798848 811330 812515 821600 822800 848776 855712 859520 872950 892463 903760 945472 955900 960245 972400 986078 994136 998560 1006720 1060970 1069640 1074400 1098416 1117376 1129700 1167067 1181840 1223552 1242670 1248200 1258400 1298128 1300024 1316480 1337050 1373020 1379261 1390400 1396720 1446016 1477300 1510322 1529440 1536392 1555840 1622660 1625030 1643200 1645600 1697552 1711424 1716275 1745900 1784926 1807520 1890944 1911800 1920490 1944800 1972156 1988272 1997120 2028325 2112539 2121940 2139280 2148800 2196832 2234752 2259400 2334134 2363680 2465195 2485340 2496400 2516800 2596256 2600048 2652425 2674100 2746040 2758522 2780800 2793440 2954600 3020644 3058880 3072784 3106675 3245320 3250060 3286400 3291200 3395104 3422848 3432550 3491800 3569852 3615040 3775805 3823600 3840980 3889600 3944312 3976544 3994240 4056650 4062575 4225078 4243880 4278560 4297600 4393664 4462315 4518800 4668268 4727360 4801225 4930390 4970680 4992800 5033600 5192512 5200096 5304850 5348200 5423429 5492080 5517044 5586880 5835335 5909200 6041288 6117760 6145568 6213350 6409507 6490640 6500120 6582400 6790208 6865100 6896305 6983600 7139704 7230080 7551610 7647200 7681960 7779200 7888624 7953088 8113300 8125150 8381663 8450156 8487760 8557120 8787328 8924630 9037600 9336536 9454720 9602450 9817093 9860780 9941360 9985600 10385024 10400192 10562695 10609700 10696400 10846858 10984160 11034088 11173760 11670670 11818400 12082576 12291136 12325975 12426700 12819014 12837737 12981280 13000240 13580416 13730200 13792610 13967200 14279408 15103220 15171871 15294400 15363920 15777248 15906176 16226600 16250300 16763326 16900312 16975520 17114240 17849260 18075200 18673072 18879025 19204900 19634186 19721560 19882720 19971200 20800384 21125390 21219400 21392800 21693716 21968320 22068176 22311575 23341340 23636800 24165152 24582272 24651950 24853400 25638028 25675474 25962560 26000480 27117145 27460400 27585220 27934400 28558816 29176675 30206440 30343742 30588800 30727840 31554496 32047535 32453200 32500600 33526652 33800624 33951040 34481525 35698520 36150400 37346144 37758050 38409800 39268372 39443120 39765440 41908315 42250780 42438800 42785600 43387432 43936640 44136352 44623150 46682680 47273600 48330304 49085465 49303900 49706800 51276056 51350948 51925120 52000960 52813475 54234290 54920800 55170440 55868800 57117632 58353350 59657719 60412880 60687484 61455680 63108992 64095070 64188685 64906400 65001200 67053304 67601248 67902080 68963050 70504577 71397040 74692288 75516100 75859355 76819600 78536744 78886240 79530880 83816630 84501560 84877600 85571200 86774864 88272704 89246300 92198293 93365360 96660608 98170930 98607800 99413600 102552112 102701896 104001920 105626950 108468580 108961619 109841600 110340880 114235264 116706700 119315438 120825760 121374968 122911360 128190140 128377370 129812800 130002400 134106608 135202496 135585725 137926100 141009154 142794080 149384576 151032200 151718710 153639200 157073488 157772480 160237675 166890581 167633260 169003120 169755200 173549728 176545408 178492600 184396586 186730720 196341860 197215600 198827200 205104224 205403792 209541575 211253900 216937160 217923238 219683200 220681760 233413400 238630876 241651520 242749936 245427325 256380280 256754740 259625600 260004800 268213216 270404992 271171450 275852200 282018308 285588160 298288595 302064400 303437420 307278400 314146976 315544960 320475350 320943425 333781162 335266520 338006240 339510400 347099456 352522885 356985200 368793172 373461440 379296775 392683720 394431200 397654400 410208448 410807584 419083150 422507800 433874320 435846476 441363520 460991465 466826800 477261752 483303040 485499872 490854650 512760560 513509480 520009600 536426432 542342900 544808095 551704400 564036616 571176320 596577190 604128800 606874840 614556800 628293952 640950700 641886850 667562324 670533040 676012480 694198912 705045770 713970400 737586344 746922880 758593550 775550347 785367440 788862400 820416896 821615168 834452905 838166300 845015600 867748640 871692952 882727040 921982930 933653600 954523504 970999744 981709300 1014181223 1025521120 1027018960 1072852864 1084685800 1089616190 1103408800 1128073232 1193154380 1198577809 1208257600 1213749680 1256587904 1281901400 1283773700 1335124648 1341066080 1352024960 1410091540 1427940800 1475172688 1491442975 1517187100 1551100694 1570734880 1577724800 1643230336 1668905810 1676332600 1690031200 1735497280 1743385904 1762614425 1843965860 1867307200 1909047008 1941999488 1963418600 2028362446 2051042240 2054037920 2169371600 2179232380 2206817600 2256146464 2304957325 2386308760 2397155618 2416515200 2427499360 2563802800 2567547400 2670249296 2682132160 2724040475 2820183080 2855881600 2950345376 2982885950 3034374200 3102201388 3141469760 3337811620 3352665200 3380062400 3470994560 3486771808 3525228850 3687931720 3734614400 3818094016 3877751735 3926837200 4056724892 4102084480 4108075840 4172264525 4338743200 4358464760 4413635200 4512292928 4609914650 4772617520 4794311236 4854998720 5070906115 5127605600 5135094800 5340498592 5364264320 5448080950 5640366160 5900690752 5965771900 5992889045 6068748400 6204402776 6282939520 6675623240 6705330400 6760124800 6973543616 7050457700 7375863440 7636188032 7755503470 7853674400 8113449784 8216151680 8344529050 8677486400 8716929520 9024585856 9219829300 9545235040 9588622472 9709997440 10141812230 10255211200 10270189600 10680997184 10896161900 11280732320 11801381504 11931543800 11985778090 12137496800 12408805552 13184355899 13351246480 13410660800 13947087232 14100915400 14751726880 15511006940 15707348800 16226899568 16689058100 17354972800 17433859040 18439658600 19090470080 19177244944 19388758675 20283624460 20510422400 20540379200 21361994368 21792323800 22561464640 23863087600 23971556180 24274993600 24817611104 25354530575 26368711798 26702492960 26821321600 28201830800 29503453760 29964445225 31022013880 31414697600 32453799136 33378116200 34867718080 36879317200 38180940160 38354489888 38777517350 40567248920 41080758400 43584647600 45122929280 47726175200 47943112360 48549987200 49635222208 50709061150 52737423596 53404985920 56403661600 59006907520 59928890450 62044027760 64907598272 65921779495 66756232400 69735436160 73758634400 76708979776 77555034700 81134497840 87169295200 95452350400 95886224720 99270444416 101418122300 105474847192 106809971840 112807323200 119857780900 124088055520 129815196544 131843558990 133512464800 147517268800 153417959552 155110069400 162268995680 174338590400 190904700800 191772449440 202836244600 210949694384 225614646400 239715561800 248176111040 263687117980 267024929600 295034537600 310220138800 324537991360 329608897475 348677180800 383544898880 405672489200 421899388768 479431123600 496352222080 527374235960 534049859200 620440277600 649075982720 659217794950 767089797760 811344978400 843798777536 958862247200 1054748471920 1240880555200 1318435589900 1622689956800 1687597555072 1917724494400 2109496943840 2481761110400 2636871179800 3245379913600 3835448988800 4218993887680 5273742359600 8437987775360 10547484719200 21094969438400 42189938876800
- Sum of all divisors σ(n): 132302425852800
- Sum of proper divisors (its aliquot sum) s(n): 90112486976000
- 42189938876800 is an abundant number, because the sum of its proper divisors (90112486976000) is greater than itself. Its abundance is 47922548099200
Bases of 42189938876800
- Binary: 10011001011111000111000101000111100001100000002
- Hexadecimal: 0x265F1C51E180
- Base-36: EYDSGAMPS
Squares and roots of 42189938876800
- 42189938876800 squared (421899388768002) is 1779990942428120045578240000
- 42189938876800 cubed (421899388768003) is 75097709062300012500478775712120832000000
-
The
square root of 42189938876800 is 6495378.2704935665 -
The
cube root of 42189938876800 is 34812.5870695883
Scales and comparisons
How big is 42189938876800?- 42,189,938,876,800 seconds is equal to 1,341,509 years, 28 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 42,189,938,876,800 would take you about three million, three hundred fifty-three thousand, seven hundred seventy-three 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 42189938876800 cubic inches would be around 2901 feet tall.
Recreational maths with 42189938876800
- 42189938876800 backwards is 00867883998124
- The number of decimal digits it has is: 14
- The sum of 42189938876800's digits is 73
- More coming soon!
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The information we have on file for 42189938876800 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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