2138988784884224
2,138,988,784,884,224 is an even composite number composed of five prime numbers multiplied together.
2138988784884224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 2138988784884224:
29 × 73 × 133 × 172 × 19183
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 13 × 17 × 17 × 19183)See below for interesting mathematical facts about the number 2138988784884224 from the Numbermatics database.
Names of 2138988784884224
- Cardinal: 2138988784884224 can be written as Two quadrillion, one hundred thirty-eight trillion, nine hundred eighty-eight billion, seven hundred eighty-four million, eight hundred eighty-four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 2.138988784884224 × 1015
Factors of 2138988784884224
Divisors of 2138988784884224
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 91 98 104 112 119 128 136 169 182 196 208 221 224 238 256 272 289 338 343 364 392 416 442 448 476 512 544 578 637 676 686 728 784 832 833 884 896 952 1088 1156 1183 1274 1352 1372 1456 1547 1568 1664 1666 1768 1792 1904 2023 2176 2197 2312 2366 2548 2704 2744 2873 2912 3094 3136 3328 3332 3536 3584 3757 3808 4046 4352 4394 4459 4624 4732 5096 5408 5488 5746 5824 5831 6188 6272 6656 6664 7072 7514 7616 8092 8281 8704 8788 8918 9248 9464 10192 10816 10829 10976 11492 11648 11662 12376 12544 13328 14144 14161 15028 15232 15379 16184 16562 17576 17836 18496 18928 19183 20111 20384 21632 21658 21952 22984 23296 23324 24752 25088 26299 26656 28288 28322 30056 30464 30758 32368 33124 35152 35672 36992 37349 37856 38366 40222 40768 43264 43316 43904 45968 46592 46648 48841 49504 52598 53312 56576 56644 57967 60112 60928 61516 64736 66248 70304 71344 73984 74698 75712 75803 76732 80444 81536 86528 86632 87808 91936 93296 97682 99008 99127 105196 106624 107653 113152 113288 115934 120224 123032 129472 132496 134281 140608 140777 142688 147968 149396 151424 151606 153464 160888 163072 173264 175616 183872 184093 186592 195364 198016 198254 210392 213248 215306 226576 231868 240448 246064 249379 258944 261443 264992 268562 281216 281554 285376 298792 302848 303212 306928 321776 326111 326144 341887 346528 367744 368186 373184 390728 396032 396508 420784 426496 430612 453152 463736 480896 492128 498758 517888 522886 529984 537124 562432 563108 570752 597584 605696 606424 613856 634933 643552 652222 683774 693056 735488 736372 746368 753571 781456 792064 793016 841568 861224 906304 927472 939967 961792 984256 985439 997516 1035776 1045772 1059968 1074248 1124864 1126216 1141504 1195168 1212848 1227712 1269866 1287104 1288651 1304444 1367548 1386112 1470976 1472744 1492736 1507142 1562912 1586032 1683136 1722448 1745653 1812608 1830101 1854944 1879934 1923584 1968512 1970878 1995032 2091544 2119936 2148496 2252432 2282777 2283008 2390336 2393209 2425696 2455424 2539732 2574208 2577302 2608888 2735096 2772224 2945488 2985472 3014284 3125824 3172064 3241927 3366272 3444896 3491306 3625216 3660202 3709888 3759868 3937024 3941756 3990064 4183088 4239443 4239872 4296992 4444531 4504864 4565554 4780672 4786418 4851392 4910848 5079464 5148416 5154604 5217776 5470192 5543887 5544448 5890976 6028568 6251648 6344128 6483854 6579769 6732544 6889792 6982612 7250432 7320404 7419776 7519736 7874048 7883512 7980128 8366176 8478886 8593984 8889062 9009728 9131108 9561344 9572836 9702784 9821696 10158928 10296832 10309208 10435552 10940384 11087774 11781952 12057136 12219571 12503296 12688256 12810707 12967708 13159538 13465088 13779584 13965224 14640808 14839552 15039472 15767024 15960256 15979439 16732352 16752463 16957772 17187968 17778124 18019456 18262216 19122688 19145672 19405568 20317856 20618416 20871104 21880768 22175548 22693489 23563904 24114272 24439142 25006592 25376512 25621414 25935416 26319076 27559168 27930448 29281616 29676101 29679104 30078944 31111717 31534048 31920512 31958878 33464704 33504926 33915544 34375936 35556248 36038912 36524432 38291344 38807209 38811136 40635712 41236832 41742208 42145051 43761536 44351096 45386978 47127808 48228544 48878284 50753024 51242828 51870832 52638152 55112759 55118336 55860896 58563232 59352202 60157888 62223434 63068096 63841024 63917756 66929408 67009852 67831088 68751872 71112496 72070531 72077824 73048864 76582688 77614418 81271424 82473664 83484416 84290102 85536997 87523072 88702192 90773956 94255616 96457088 97756568 102485656 103741664 105276304 110225518 111721792 111856073 117126464 118704404 120315776 124446868 126136192 127682048 127835512 133858816 134019704 135662176 142224992 144141062 146097728 153165376 155228836 158854423 162542848 164947328 166968832 168580204 171073994 175046144 177404384 181547912 192914176 195513136 204971312 207483328 207732707 210552608 217782019 220451036 223443584 223712146 234252928 237408808 240631552 248893736 252272384 255671024 268039408 271324352 271650463 284449984 288282124 292195456 295015357 306330752 310457672 317708846 325085696 329894656 337160408 342147988 354808768 363095824 385789313 385828352 391026272 409942624 414966656 415465414 421105216 435564038 440902072 446887168 447424292 468505856 474817616 481263104 497787472 504493717 504544768 511342048 536078816 542648704 543300926 568899968 576564248 584390912 590030714 612661504 620915344 635417692 659789312 674320816 684295976 709617536 716465867 726191648 771578626 782052544 819885248 829933312 830930828 842210432 871128076 881804144 893774336 894848584 936916903 937011712 949635232 995574944 1008987434 1022684096 1072157632 1085297408 1086601852 1111980961 1137799936 1153128496 1168781824 1180061428 1225323008 1241830688 1270835384 1348641632 1368591952 1419235072 1432931734 1452383296 1454128949 1543157252 1564105088 1639770496 1659866624 1661861656 1684420864 1742256152 1763608288 1789697168 1873833806 1899270464 1901553241 1991149888 2017974868 2045368192 2065107499 2144315264 2170594816 2173203704 2223961922 2275599872 2306256992 2360122856 2483661376 2541670768 2697283264 2700525191 2737183904 2838470144 2865863468 2904766592 2908257898 3086314504 3128210176 3279540992 3323723312 3368841728 3484512304 3527216576 3531456019 3579394336 3747667612 3798540928 3803106482 3982299776 4035949736 4090736384 4130214998 4288630528 4346407408 4447923844 4612513984 4720245712 4967322752 5015261069 5083341536 5394566528 5401050382 5474367808 5731726936 5809533184 5816515796 6172629008 6256420352 6558418321 6559081984 6647446624 6969024608 7054433152 7062912038 7158788672 7495335224 7597081856 7606212964 7964599552 8071899472 8181472768 8260429996 8577261056 8692814816 8895847688 9225027968 9440491424 9934645504 10030522138 10166683072 10789133056 10802100764 10948735616 11463453872 11619066368 11633031592 12179919739 12345258016 13116836642 13294893248 13938049216 14108866304 14125824076 14317577344 14455752493 14990670448 15194163712 15212425928 15929199104 16143798944 16520859992 17385629632 17791695376 18450055936 18880982848 18903676337 19869291008 20061044276 20333366144 21578266112 21604201528 21897471232 22926907744 23266063184 24359839478 24690516032 24720192133 26233673284 26589786496 27876098432 28217732608 28251648152 28635154688 28911504986 29981340896 30424851856 32287597888 33041719984 34771259264 35106827483 35583390752 36900111872 37761965696 37807352674 40122088552 40666732288 43208403056 43794942464 45853815488 45908928247 46532126368 48719678956 49381032064 49440384266 52467346568 53179572992 55752196864 56503296304 57270309376 57823009972 59962681792 60849703712 64575195776 66083439968 69542518528 70213654966 71166781504 75523931392 75614705348 80244177104 81333464576 85259438173 86416806112 91707630976 91817856494 93064252736 97439357912 98762064128 98880768532 104934693136 106359145984 111504393728 113006592608 115646019944 119925363584 121699407424 129150391552 132166879936 139085037056 140427309932 142333563008 151047862784 151229410696 160488354208 170518876346 172833612224 183415261952 183635712988 186128505472 194878715824 197524128256 197761537064 209869386272 226013185216 231292039888 239850727168 243398814848 245747792381 258300783104 264333759872 280854619864 284667126016 302458821392 320976708416 321362497729 341037752692 345667224448 366830523904 367271425976 372257010944 389757431648 395523074128 419738772544 452026370432 462584079776 479701454336 486797629696 491495584762 528667519744 561709239728 569334252032 596816067211 604917642784 641953416832 642724995458 682075505384 691334448896 734542851952 744514021888 779514863296 791046148256 839477545088 904052740864 925168159552 973595259392 982991169524 1057335039488 1123418479456 1193632134422 1209835285568 1283906833664 1285449990916 1364151010768 1382668897792 1469085703904 1559029726592 1582092296512 1678955090176 1808105481728 1850336319104 1965982339048 2246836958912 2387264268844 2419670571136 2567813667328 2570899981832 2728302021536 2938171407808 3118059453184 3164184593024 3357910180352 3700672638208 3931964678096 4177712470477 4493673917824 4774528537688 4839341142272 5141799963664 5456604043072 5876342815616 6236118906368 6328369186048 7401345276416 7863929356192 8355424940954 8987347835648 9549057075376 9678682284544 10283599927328 10913208086144 11752685631232 12656738372096 15727858712384 16710849881908 17974695671296 19098114150752 20567199854656 21826416172288 23505371262464 31455717424768 33421699763816 38196228301504 41134399709312 43652832344576 62911434849536 66843399527632 76392456603008 82268799418624 125822869699072 133686799055264 152784913206016 164537598837248 267373598110528 305569826412032 534747196221056 1069494392442112 2138988784884224
- Sum of all divisors σ(n): 5735748805248000
- Sum of proper divisors (its aliquot sum) s(n): 3596760020363776
- 2138988784884224 is an abundant number, because the sum of its proper divisors (3596760020363776) is greater than itself. Its abundance is 1457771235479552
Bases of 2138988784884224
- Binary: 1111001100101100110001000101011001110011010000000002
- Hexadecimal: 0x7996622B39A00
- Base-36: L27HVRGS8W
Squares and roots of 2138988784884224
- 2138988784884224 squared (21389887848842242) is 4575273021860489093869084082176
- 2138988784884224 cubed (21389887848842243) is 9786457681542939197021863124664695317461991424
-
The
square root of 2138988784884224 is 46249203.0729635817 -
The
cube root of 2138988784884224 is 128845.5733740437
Scales and comparisons
How big is 2138988784884224?- 2,138,988,784,884,224 seconds is equal to 68,013,227 years, 1 week, 4 days, 20 hours, 43 minutes, 44 seconds.
-
To count from 1 to 2,138,988,784,884,224 would take you about two hundred four million, thirty-nine thousand, six hundred eighty-one 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 2138988784884224 cubic inches would be around 10737.1 feet tall.
Recreational maths with 2138988784884224
- 2138988784884224 backwards is 4224884878898312
- The number of decimal digits it has is: 16
- The sum of 2138988784884224's digits is 86
- More coming soon!
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The information we have on file for 2138988784884224 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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