138075635712613500
138,075,635,712,613,500 is an even composite number composed of six prime numbers multiplied together.
138075635712613500 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138075635712613500:
22 × 35 × 53 × 11 × 193 × 38812
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 19 × 19 × 19 × 3881 × 3881)See below for interesting mathematical facts about the number 138075635712613500 from the Numbermatics database.
Names of 138075635712613500
- Cardinal: 138075635712613500 can be written as One hundred thirty-eight quadrillion, seventy-five trillion, six hundred thirty-five billion, seven hundred twelve million, six hundred thirteen thousand, five hundred.
Scientific notation
- Scientific notation: 1.380756357126135 × 1017
Factors of 138075635712613500
Divisors of 138075635712613500
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 25 27 30 33 36 38 44 45 50 54 55 57 60 66 75 76 81 90 95 99 100 108 110 114 125 132 135 150 162 165 171 180 190 198 209 220 225 228 243 250 270 275 285 297 300 324 330 342 361 375 380 396 405 418 450 475 486 495 500 513 540 550 570 594 627 660 675 684 722 750 810 825 836 855 891 900 950 972 990 1026 1045 1083 1100 1125 1140 1188 1215 1254 1350 1375 1425 1444 1485 1500 1539 1620 1650 1710 1782 1805 1881 1900 1980 2025 2052 2090 2166 2250 2375 2430 2475 2508 2565 2673 2700 2750 2850 2970 3078 3135 3249 3300 3375 3420 3564 3610 3762 3881 3971 4050 4125 4180 4275 4332 4455 4500 4617 4750 4860 4950 5130 5225 5346 5415 5500 5643 5700 5940 6075 6156 6270 6498 6750 6859 7125 7220 7425 7524 7695 7762 7942 8100 8250 8550 8910 9025 9234 9405 9500 9747 9900 10125 10260 10450 10692 10830 11286 11643 11913 12150 12375 12540 12825 12996 13365 13500 13718 14250 14850 15390 15524 15675 15884 16245 16500 16929 17100 17820 18050 18468 18810 19405 19494 19855 20250 20577 20900 21375 21660 22275 22572 23085 23286 23826 24300 24750 25650 26125 26730 27075 27436 28215 28500 29241 29700 30375 30780 31350 32490 33858 34295 34929 35739 36100 37125 37620 38475 38810 38988 39710 40500 41154 42691 42750 44550 45125 46170 46572 47025 47652 48735 49500 50787 51300 52250 53460 54150 56430 58215 58482 59565 60750 61731 62700 64125 64980 66825 67716 68590 69858 71478 73739 74250 75449 76950 77620 78375 79420 81225 82308 84645 85382 85500 87723 89100 90250 92340 94050 97025 97470 99275 101574 102885 104500 104787 107217 108300 111375 112860 115425 116430 116964 119130 121500 123462 128073 128250 133650 135375 137180 139716 141075 142956 146205 147478 148500 150898 153900 156750 162450 169290 170764 171475 174645 175446 178695 180500 185193 188100 192375 194050 194940 198550 203148 205770 209574 213455 214434 221217 222750 226347 230850 232860 235125 238260 243675 246924 253935 256146 256500 267300 270750 282150 291075 292410 294956 297825 301796 308655 313500 314361 321651 324900 334125 338580 342950 349290 350892 357390 368695 370386 377245 384219 384750 388100 397100 406125 411540 419148 423225 426910 428868 438615 442434 445500 452694 461700 470250 485125 487350 496375 507870 512292 514425 523935 536085 541500 555579 564300 577125 582150 584820 595650 617310 628722 640365 643302 663651 668250 679041 685900 698580 705375 714780 731025 737390 740772 754490 768438 769500 811129 812250 846450 853820 857375 873225 877230 884868 893475 905388 925965 940500 943083 964953 970250 974700 992750 1015740 1028850 1047870 1067275 1072170 1106085 1111158 1131735 1152657 1154250 1164300 1191300 1218375 1234620 1257444 1269675 1280730 1286604 1327302 1336500 1358082 1401041 1410750 1455375 1462050 1474780 1489125 1508980 1536876 1543275 1571805 1608255 1622258 1624500 1666737 1692900 1714750 1746450 1754460 1786950 1843475 1851930 1886166 1886225 1921095 1929906 1940500 1985500 1990953 2037123 2057700 2095740 2116125 2134550 2144340 2193075 2212170 2222316 2263470 2305314 2308500 2433387 2436750 2539350 2561460 2572125 2619675 2654604 2680425 2716164 2777895 2802082 2821500 2910750 2924100 2978250 3086550 3143610 3201825 3216510 3244516 3318255 3333474 3395205 3429500 3457971 3492900 3573900 3655125 3686950 3703860 3772332 3772450 3842190 3859812 3981906 4055645 4074246 4203123 4232250 4269100 4366125 4386150 4424340 4467375 4526940 4610628 4629825 4715415 4824765 4866774 4873500 5078700 5144250 5239350 5336375 5360850 5530425 5555790 5604164 5658675 5763285 5821500 5956500 5972859 6111369 6173100 6287220 6348375 6403650 6433020 6636510 6666948 6790410 6915942 7005205 7300161 7310250 7373900 7544900 7684380 7716375 7859025 7963812 8041275 8111290 8148492 8333685 8406246 8464500 8732250 8772300 8934750 9217375 9259650 9430830 9431125 9605475 9649530 9733548 9954765 10185615 10288500 10373913 10478700 10672750 10721700 10965375 11060850 11111580 11317350 11526570 11945718 12166935 12222738 12609369 12696750 12807300 13098375 13273020 13402125 13580820 13831884 13889475 14010410 14600322 14620500 15062161 15411451 15432750 15718050 16009125 16082550 16222580 16591275 16667370 16812492 16976025 17289855 17464500 17869500 17918577 18334107 18434750 18519300 18861660 18862250 19210950 19299060 19909530 20278225 20371230 20747826 21015615 21345500 21900483 21930750 22121700 22634700 23053140 23149125 23577075 23891436 24123825 24333870 24445476 25218738 25393500 26196750 26619779 26804250 27652125 27778950 28020820 28293375 28816425 29200644 29864295 30124322 30556845 30822902 30865500 31436100 32018250 32165100 33182550 33334740 33952050 34579710 35026025 35837154 36500805 36668214 36869500 37724500 37828107 38421900 39295125 39819060 40206375 40556450 40742460 41495652 41668425 42031230 43800966 43861500 45186483 46234353 46298250 47154150 48027375 48247650 48667740 49773825 50437476 50928075 51869565 52393500 53239558 53608500 55304250 55557900 56586750 57632850 59728590 60248644 60834675 61113690 61645804 63046845 64036500 65701449 66365100 67904100 69159420 69447375 70052050 71674308 73001610 73336428 75310805 75656214 77057255 78590250 79859337 80412750 81112900 82956375 83336850 84062460 84880125 86449275 87601932 89592885 90372966 91670535 92468706 92596500 94308300 96054750 96495300 99547650 101391125 101856150 103739130 105078075 106479116 109502415 110608500 113173500 113484321 115265700 117885375 119457180 120619125 121669350 122227380 126093690 131402898 133098895 135559449 138703059 138894750 140104100 144082125 146003220 149321475 150621610 151312428 152784225 154114510 157180500 159718674 160825500 165683771 165912750 166673700 169760250 172898550 175130125 179185770 180745932 182504025 183341070 184937412 189140535 192109500 197104347 199095300 202782250 203712300 207478260 208342125 210156150 219004830 225932415 226968642 231171765 235770750 239578011 241238250 243338700 248869125 252187380 254640375 259347825 262805796 266197790 271118898 277406118 277789500 286181059 288164250 292817569 298642950 301243220 304173375 305568450 308229020 315234225 319437348 328507245 331367542 331825500 339520500 340452963 345797100 350260250 358371540 365008050 366682140 376554025 378281070 385286275 394208694 399296685 405564500 406678347 416109177 416684250 420312300 432246375 438009660 447964425 451864830 453937284 458352675 462343530 471541500 479156022 482476500 497051313 497738250 509280750 518695650 525390375 532395580 542237796 547512075 554812236 567421605 572362118 576328500 585635138 597285900 608346750 611136900 630468450 657014490 662735084 665494475 677797245 680905926 693515295 700520500 718734033 730016100 746607375 753108050 756562140 763921125 770572550 788417388 798593370 813356694 828418855 832218354 833368500 858543177 864492750 878452707 895928850 903729660 912520125 916705350 924687060 945702675 958312044 985521735 994102626 995476500 1018561500 1037391300 1050780750 1095024150 1129662075 1134843210 1144724236 1155858825 1171270276 1197890055 1216693500 1220035041 1248327531 1260936900 1296739125 1314028980 1330988950 1355594490 1361811852 1387030590 1430905295 1437468066 1464087845 1491153939 1493214750 1506216100 1527842250 1541145100 1576171125 1597186740 1626713388 1642536225 1656837710 1664436708 1702264815 1717086354 1728985500 1756905414 1791857700 1825040250 1833410700 1882770125 1891405350 1926431375 1971043470 1988205252 1996483425 2033391735 2080545885 2101561500 2156202099 2190048300 2239822125 2259324150 2269686420 2291763375 2311717650 2395780110 2440070082 2485256565 2496655062 2575629531 2593478250 2635358121 2661977900 2711188980 2737560375 2774061180 2837108025 2861810590 2874936132 2928175690 2982307878 2986429500 3055684500 3147991649 3152342250 3285072450 3313675420 3327472375 3388986225 3404529630 3434172708 3467576475 3513810828 3593670165 3650080500 3660105123 3744982593 3765540250 3782810700 3852862750 3942086940 3992966850 4066783470 4142094275 4161091770 4292715885 4312404198 4392263535 4473461817 4479644250 4518648300 4583526750 4623435300 4728513375 4791560220 4880140164 4927608675 4970513130 4993310124 5151259062 5186956500 5270716242 5437440121 5475120750 5648310375 5674216050 5723621180 5779294125 5856351380 5964615756 5989450275 6100175205 6241637655 6295983298 6304684500 6468606297 6570144900 6654944750 6777972450 6809059260 6935152950 7154526475 7187340330 7320210246 7320439225 7455769695 7489965186 7531080500 7705725500 7726888593 7906074363 7985933700 8133566940 8212681125 8284188550 8322183540 8511324075 8585431770 8624808396 8784527070 8946923634 8959288500 9167053500 9443974947 9457026750 9855217350 9941026260 9982417125 10166958675 10302518124 10402729425 10541432484 10781010495 10874880242 10950241500 11296620750 11348432100 11558588250 11978900550 12200350410 12426282825 12483275310 12591966596 12878147655 12937212594 13176790605 13309889500 13420385451 13555944900 13870305900 14185540125 14309052950 14374680660 14640420492 14640878450 14911539390 14979930372 15453777186 15739958245 15812148726 16312320363 16425362250 16568377100 16944931125 17022648150 17170863540 17337882375 17569054140 17893847268 17968350825 18300525615 18724912965 18887949894 18914053500 19710434700 19964834250 20333917350 20710471375 20805458850 21463579425 21562020990 21749760484 21961317675 22367309085 22593241500 23117176500 23180665779 23718223089 23957801100 24400700820 24638043375 24852565650 24966550620 25756295310 25874425188 26353581210 26840770902 27187200605 28331924841 28371080250 28618105900 29281756900 29823078780 29947251375 30500876025 30907554372 31208188275 31479916490 31624297452 32343031485 32624640726 32850724500 33889862250 34045296300 34675764750 35772632375 35936701650 36601051230 36602196125 37278848475 37449825930 37775899788 38634442965 39530371815 39929668500 40261156353 40667834700 41420942750 41610917700 42556620375 42927158850 43124041980 43922635350 44734618170 46361331558 47219874735 47436446178 48936961089 49276086750 49705131300 50834793375 51512590620 52013647125 52707162420 53681541804 53905052475 54374401210 56663849682 56742160500 59811841331 59894502750 61001752050 62131414125 62416376550 62959832980 64390738275 64686062970 65249281452 65883953025 67101927255 67779724500 69351529500 69541997337 71154669267 71545264750 71873403300 73202102460 73204392250 74557696950 74899651860 77268885930 78699791225 79060743630 80522312706 81561601815 82841885500 84995774523 85113240750 85854317700 87845270700 89469236340 89841754125 91502628075 92722663116 93624564825 94439749470 94872892356 97873922178 98552173500 101669586750 103311362299 104027294250 107317897125 107810104950 108748802420 109806588375 111836545425 113327699364 115903328895 118591115445 119623682662 119789005500 122003504100 124262828250 124832753100 128781476550 129372125940 131767906050 134203854510 135936003025 139083994674 141659624205 142309338534 143090529500 146408784500 146810883267 149115393900 152504380125 154537771860 156040941375 157399582450 158121487260 161044625412 161715157425 163123203630 169991549046 170226481500 179435523993 179683508250 183005256150 186394242375 187249129650 188879498940 193172214825 195747844356 197651859075 201305781765 203339173500 206622724598 208054588500 214635794250 215620209900 219613176750 223673090850 231806657790 236099373675 237182230890 239247365324 244684805445 248525656500 254987323569 257562953100 263535812100 268407709020 269525262375 271872006050 278167989348 283319248410 284618677068 293621766534 299059206655 305008760250 309934086897 312081882750 314799164900 321953691375 323430314850 326246407260 329419765125 335509636275 339983098092 347709986685 355773346335 358871047986 359367016500 366010512300 372788484750 374498259300 386344429650 393498956125 395303718150 402611563530 407808009075 413245449196 424978872615 429271588500 439226353500 440432649801 447346181700 457513140375 463613315580 468122824125 472198747350 474364461780 489369610890 509974647138 516556811495 538306571979 539050524750 543744012100 559182727125 566638496820 579516644475 587243533068 592955577225 598118413310 610017520500 619868173794 624163765500 643907382750 646860629700 658839530250 671019272550 679680015125 695419973370 708298121025 711546692670 717742095972 734054416335 745576969500 764961970707 772688859300 786997912250 790607436300 805223127060 808575787125 815616018150 849957745230 880865299602 897177619965 915026280750 929802260691 936245648250 944397494700 965861074125 978739221780 988259295375 1006528908825 1019949294276 1033113622990 1076613143958 1078101049500 1118365454250 1136424985289 1159033288950 1180496868375 1185911154450 1196236826620 1223424027225 1239736347588 1274936617845 1287814765500 1317679060500 1321297949403 1342038545100 1359360030250 1390839946740 1416596242050 1423093385340 1468108832670 1495296033275 1529923941414 1549670434485 1573995824500 1614919715937 1617151574250 1631232036300 1677548181375 1699915490460 1738549933425 1761730599204 1778866731675 1794355239930 1830052561500 1859604521382 1872491296500 1931722148250 1976518590750 2013057817650 2039040045375 2066227245980 2124894363075 2153226287916 2202163249005 2236730908500 2272849970578 2318066577900 2360993736750 2371822308900 2446848054450 2549873235690 2582784057475 2642595898806 2691532859895 2718720060500 2789406782073 2833192484100 2897583222375 2936217665340 2964777886125 2990592066550 3059847882828 3099340868970 3229839431874 3234303148500 3355096362750 3409274955867 3477099866850 3541490605125 3557733463350 3588710479860 3670272081675 3719209042764 3824809853535 3863444296500 3953037181500 4026115635300 4078080090750 4249788726150 4404326498010 4485888099825 4545699941156 4649011303455 4721987473500 4844759147811 4893696108900 5032644544125 5099746471380 5165568114950 5285191797612 5383065719790 5578813564146 5682124926445 5795166444750 5929555772250 5981184133100 6117120136125 6198681737940 6374683089225 6459678863748 6606489747015 6710192725500 6818549911734 6954199733700 7082981210250 7115466926700 7340544163350 7476480166375 7649619707070 7748352172425 8074598579685 8156160181500 8368220346219 8499577452300 8692749667125 8808652996020 8894333658375 8971776199650 9298022606910 9689518295622 10065289088250 10227824867601 10331136229900 10624471815375 10766131439580 11010816245025 11157627128292 11364249852890 11590332889500 11859111544500 12234240272250 12749366178450 12913920287375 13212979494030 13457664299475 13637099823468 13947033910365 14165962420500 14534277443433 14681088326700 14952960332750 15299239414140 15496704344850 16149197159370 16736440692438 17046374779335 17385499334250 17788667316750 17943552399300 18351360408375 18596045213820 19124049267675 19379036591244 20130578176500 20455649735202 21248943630750 22021632490050 22429440499125 22728499705780 23245056517275 24223795739055 24468480544500 25104661038657 25498732356900 25827840574750 26425958988060 26915328598950 27894067820730 28410624632225 29068554886866 29905920665500 30683474602803 30993408689700 31873415446125 32298394318740 33032448735075 33472881384876 34092749558670 34770998668500 35577334633500 36702720816750 38248098535350 38741760862125 40372992898425 40911299470404 41841101731095 42497887261500 44043264980100 44858880998250 46490113034550 48447591478110 50209322077314 51139124338005 51655681149500 53830657197900 55054081225125 55788135641460 56821249264450 58137109773732 61366949205606 63746830892250 66064897470150 67288321497375 68185499117340 69735169551825 72671387217165 73405441633500 76496197070700 77483521724250 80745985796850 83682203462190 85231873896675 89717761996500 92050423808409 92980226069100 95620246338375 96895182956220 100418644154628 102278248676010 110108162450250 113642498528900 116225282586375 121118978695275 122733898411212 125523305193285 127493661784500 132129794940300 134576642994750 139470339103650 142053123161125 145342774434330 153417373014015 154967043448500 161491971593700 165162243675375 167364406924380 170463747793350 184100847616818 191240492676750 201864964492125 204556497352020 209205508655475 220216324900500 232450565172750 242237957390550 251046610386570 255695621690025 269153285989500 276151271425227 278940678207300 284106246322250 290685548868660 306834746028030 330324487350750 340927495586700 348675847759125 363356936085825 368201695233636 382480985353500 403729928984250 418411017310950 426159369483375 460252119042045 464901130345500 484475914781100 502093220773140 511391243380050 552302542850454 568212492644500 605594893476375 613669492056060 627616525966425 660648974701500 697351695518250 726713872171650 767086865070075 807459857968500 836822034621900 852318738966750 920504238084090 1022782486760100 1046027543277375 1104605085700908 1211189786952750 1255233051932850 1278478108450125 1380756357126135 1394703391036500 1453427744343300 1534173730140150 1704637477933500 1816784680429125 1841008476168180 2092055086554750 2301260595210225 2422379573905500 2510466103865700 2556956216900250 2761512714252270 3068347460280300 3138082629832125 3633569360858250 3835434325350375 4184110173109500 4602521190420450 5113912433800500 5523025428504540 6276165259664250 6903781785630675 7267138721716500 7670868650700750 9205042380840900 11506302976051125 12552330519328500 13807563571261350 15341737301401500 23012605952102250 27615127142522700 34518908928153375 46025211904204500 69037817856306750 138075635712613500
- Sum of all divisors σ(n): 520287074542609920
- Sum of proper divisors (its aliquot sum) s(n): 382211438829996420
- 138075635712613500 is an abundant number, because the sum of its proper divisors (382211438829996420) is greater than itself. Its abundance is 244135803117382920
Bases of 138075635712613500
- Binary: 1111010101000101100001111001000101100100101011100011111002
- Hexadecimal: 0x1EA8B0F22C95C7C
- Base-36: 11RJQ7DC0RR0
Squares and roots of 138075635712613500
- 138075635712613500 squared (1380756357126135002) is 19064881177442348551963000382250000
- 138075635712613500 cubed (1380756357126135003) is 2632395588360791655144934824118697051646510375000000
-
The
square root of 138075635712613500 is 371585300.7219385421 -
The
cube root of 138075635712613500 is 516859.3183396319
Scales and comparisons
How big is 138075635712613500?- 138,075,635,712,613,500 seconds is equal to 4,390,378,119 years, 35 weeks, 1 day, 15 hours, 45 minutes.
-
To count from 1 to 138,075,635,712,613,500 would take you about thirteen billion, one hundred seventy-one million, one hundred thirty-four thousand, three hundred fifty-nine 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 138075635712613500 cubic inches would be around 43071.6 feet tall.
Recreational maths with 138075635712613500
- 138075635712613500 backwards is 005316217536570831
- The number of decimal digits it has is: 18
- The sum of 138075635712613500's digits is 63
- More coming soon!
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"Number 138075635712613500 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138075635712613500 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138075635712613500/
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The information we have on file for 138075635712613500 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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