138815267049258212000
138,815,267,049,258,212,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138815267049258212000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138815267049258212000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138815267049258212000:
25 × 53 × 7 × 312 × 373 × 4673
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 31 × 37 × 37 × 37 × 467 × 467 × 467)See below for interesting mathematical facts about the number 138815267049258212000 from the Numbermatics database.
Names of 138815267049258212000
- Cardinal: 138815267049258212000 can be written as One hundred thirty-eight quintillion, eight hundred fifteen quadrillion, two hundred sixty-seven trillion, forty-nine billion, two hundred fifty-eight million, two hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38815267049258212 × 1020
Factors of 138815267049258212000
Divisors of 138815267049258212000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 37 40 50 56 62 70 74 80 100 112 124 125 140 148 155 160 175 185 200 217 224 248 250 259 280 296 310 350 370 400 434 467 496 500 518 560 592 620 700 740 775 800 868 875 925 934 961 992 1000 1036 1085 1120 1147 1184 1240 1295 1369 1400 1480 1550 1736 1750 1850 1868 1922 2000 2072 2170 2294 2335 2480 2590 2738 2800 2960 3100 3269 3472 3500 3700 3736 3844 3875 4000 4144 4340 4588 4625 4670 4805 4960 5180 5425 5476 5600 5735 5920 6200 6475 6538 6727 6845 6944 7000 7400 7472 7688 7750 8029 8288 8680 9176 9250 9340 9583 9610 10360 10850 10952 11470 11675 12400 12950 13076 13454 13690 14000 14477 14800 14944 15376 15500 16058 16345 17279 17360 18352 18500 18680 19166 19220 20720 21700 21904 22940 23350 24025 24800 25900 26152 26908 27125 27380 28000 28675 28954 29600 30752 31000 32116 32375 32690 33635 34225 34558 34720 35557 36704 37000 37360 38332 38440 40145 41440 42439 43400 43808 45880 46700 47915 48050 50653 51800 52304 53816 54250 54760 57350 57908 58375 62000 64232 64750 65380 67270 68450 69116 71114 72385 74000 74720 76664 76880 80290 81725 84878 86395 86800 91760 93400 95830 96100 101306 101339 103600 104608 107632 108500 109520 114700 115816 116750 120125 120953 124000 128464 129500 130760 134540 136900 138232 142228 143375 144770 148000 153328 153760 160580 163450 168175 169756 171125 172790 173600 177785 183520 186800 191660 192200 200725 202612 202678 207200 212195 215264 217000 218089 219040 229400 231632 233500 239575 240250 241906 248899 253265 256928 259000 261520 269080 273800 276464 284456 286750 289540 297073 306656 321160 326900 336350 339512 342250 345580 354571 355570 361925 373600 383320 384400 401450 405224 405356 408625 424390 431975 434000 436178 448787 458800 463264 467000 479150 480500 483812 497798 506530 506695 518000 523040 535649 538160 547600 552928 568912 573500 579080 594146 604765 639323 642320 653800 672700 679024 684500 691160 709142 711140 723850 766640 768800 802900 810448 810712 817250 840875 848780 863950 868000 872356 888925 897574 917600 934000 958300 961000 967624 995596 1003625 1013060 1013390 1036000 1060975 1071298 1076320 1090445 1095200 1137824 1147000 1158160 1188292 1197875 1209530 1244495 1266325 1278646 1284640 1307600 1315609 1345400 1358048 1369000 1382320 1418284 1422280 1447700 1485365 1526623 1533280 1570243 1605800 1620896 1621424 1634500 1681750 1697560 1727900 1744712 1772855 1777850 1795148 1809625 1868000 1916600 1922000 1935248 1991192 2007250 2026120 2026780 2121950 2142596 2159875 2180890 2243935 2294000 2316320 2376584 2395750 2419060 2488990 2532650 2533475 2557292 2615200 2631218 2678245 2690800 2738000 2764640 2836568 2844560 2895400 2970730 3023825 3053246 3140486 3141509 3196615 3211600 3242848 3269000 3363500 3395120 3455800 3489424 3545710 3555700 3590296 3619250 3749543 3833200 3844000 3870496 3982384 4014500 4052240 4053560 4243900 4285192 4319750 4361780 4444625 4475261 4487870 4588000 4753168 4791500 4838120 4977980 5065300 5066950 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95886763175560 97600519622900 97875508043000 100421947920350 101399026332548 102216760415875 103177692172780 105514075268000 106160344944370 108057718153925 108564268022000 109620569008160 111543450997600 114767940480400 115884601522912 116819154761000 119858453969450 121024644332396 122000649528625 126748782915685 127301484301600 128972115215975 129576706994000 130837453332320 133991570510867 136981090250800 137025711260200 138313879237024 139429313747000 143459925600500 144448769041892 144855751903640 148624482922118 151280805415495 154656069638000 156160831396640 159126855377000 159925422867809 160675116672560 163546816665400 165084307476448 169856551910992 171226362813500 171282139075250 172892349046280 180560961302365 181069689879550 191773526351120 195201039245800 195751016086000 200843895840700 202798052665096 204433520831750 206355384345560 212320689888740 216115436307850 217128536044000 229535880960800 233638309522000 239716907938900 242049288664792 244001299057250 251054869800875 253497565831370 257944230431950 259153413988000 265400862360925 267983141021734 273962180501600 274051422520400 278858627494000 286919851201000 288897538083784 289711503807280 297248965844236 299646134923625 302561610830990 309312139276000 318253710754000 319850845735618 321350233345120 327093633330800 339713103821984 342452725627000 342564278150500 345784698092560 361121922604730 362139379759100 371561207305295 383547052702240 390402078491600 391502032172000 401687791681400 405596105330192 408867041663500 412710768691120 424641379777480 432230872615700 452674224698875 467276619044000 479433815877800 484098577329584 488002598114500 502109739601750 506995131662740 515888460863900 530801724721850 535966282043468 540288590769625 548102845040800 557717254988000 573839702402000 577795076167568 579423007614560 594497931688472 599292269847250 605123221661980 633743914578425 636507421508000 639701691471236 644860576079875 654187266661600 669957852554335 684905451254000 685128556301000 691569396185120 722243845209460 724278759518200 743122414610590 756404027077475 780804156983200 799627114339045 803375583362800 811192210660384 817734083327000 825421537382240 849282759554960 864461745231400 902804806511825 905348449397750 937940993576069 958867631755600 968197154659168 976005196229000 1004219479203500 1013990263325480 1031776921727800 1061603449443700 1071932564086936 1080577181539250 1119477960074663 1147679404804000 1155590152335136 1188995863376944 1198584539694500 1210246443323960 1267487829156850 1279403382942472 1289721152159750 1327004311804625 1339915705108670 1369810902508000 1370257112602000 1444487690418920 1448557519036400 1486244829221180 1512808054154950 1599254228678090 1606751166725600 1635468166654000 1698565519109920 1728923490462800 1805609613023650 1810696898795500 1857806036526475 1875881987152138 1917735263511200 1952010392458000 2008438958407000 2027980526650960 2063553843455600 2123206898887400 2143865128173872 2161154363078500 2238955920149326 2377991726753888 2397169079389000 2420492886647920 2534975658313700 2558806765884944 2579442304319500 2654008623609250 2679831410217340 2740514225204000 2888975380837840 2897115038072800 2972489658442360 3025616108309900 3168719572892125 3198508457356180 3270936333308000 3349789262771675 3457846980925600 3611219226047300 3621393797591000 3715612073052950 3751763974304276 3782020135387375 3904020784916000 3998135571695225 4016877916814000 4055961053301920 4127107686911200 4246413797774800 4287730256347744 4322308726157000 4477911840298652 4514024032559125 4689704967880345 4794338158778000 4840985773295840 4957688108902079 5069951316627400 5117613531769888 5158884608639000 5308017247218500 5359662820434680 5597389800373315 5777950761675680 5944979316884720 6051232216619800 6337439145784250 6397016914712360 6699578525543350 7222438452094600 7242787595182000 7431224146105900 7503527948608552 7564040270774750 7996271143390450 8033755833628000 8492827595549600 8644617452314000 8955823680597304 9028048065118250 9289030182632375 9379409935760690 9588676317556000 9915376217804158 10139902633254800 10317769217278000 10616034494437000 10719325640869360 11194779600746630 11889958633769440 12102464433239600 12674878291568500 12794033829424720 13399157051086700 14444876904189200 14485575190364000 14862448292211800 15007055897217104 15128080541549500 15992542286780900 16748946313858375 17289234904628000 17911647361194608 18056096130236500 18578060365264750 18758819871521380 19830752435608316 19990677858476125 20279805266509600 20635538434556000 21232068988874000 21438651281738720 22389559201493260 23448524839401725 24204928866479200 24788440544510395 25349756583137000 25588067658849440 26798314102173400 27986949001866575 28889753808378400 29724896584423600 30014111794434208 30256161083099000 31985084573561800 33497892627716750 34703816762314553 35823294722389216 36112192260473000 37156120730529500 37517639743042760 39661504871216632 39981355716952250 42464137977748000 44779118402986520 46897049678803450 49576881089020790 50699513166274000 53596628204346800 55973898003733150 59449793168847200 60512322166198000 63970169147123600 66995785255433500 69407633524629106 72224384520946000 74312241461059000 75035279486085520 79323009742433264 79962711433904500 89558236805973040 93794099357606900 99153762178041580 101399026332548000 107193256408693600 111947796007466300 117242624197008625 121024644332396000 123942202722551975 127940338294247200 133991570510867000 138815267049258212 139934745009332875 144448769041892000 148624482922118000 150070558972171040 158646019484866528 159925422867809000 173519083811572765 179116473611946080 187588198715213800 198307524356083160 223895592014932600 234485248394017250 247884405445103950 267983141021734000 277630534098516424 279869490018665750 297248965844236000 319850845735618000 347038167623145530 375176397430427600 396615048712166320 447791184029865200 468970496788034500 495768810890207900 535966282043468000 555261068197032848 559738980037331500 619711013612759875 639701691471236000 694076335246291060 750352794860855200 793230097424332640 867595419057863825 895582368059730400 937940993576069000 991537621780415800 1110522136394065696 1119477960074663000 1239422027225519750 1388152670492582120 1735190838115727650 1875881987152138000 1983075243560831600 2238955920149326000 2478844054451039500 2776305340985164240 3470381676231455300 3751763974304276000 3966150487121663200 4337977095289319125 4477911840298652000 4957688108902079000 5552610681970328480 6940763352462910600 8675954190578638250 9915376217804158000 13881526704925821200 17351908381157276500 19830752435608316000 27763053409851642400 34703816762314553000 69407633524629106000 138815267049258212000
- Sum of all divisors σ(n): 414849100374040550400
- Sum of proper divisors (its aliquot sum) s(n): 276033833324782338400
- 138815267049258212000 is an abundant number, because the sum of its proper divisors (276033833324782338400) is greater than itself. Its abundance is 137218566275524126400
Bases of 138815267049258212000
- Binary: 11110000110011100101110010111101000000100000000010111011010101000002
- Hexadecimal: 0x78672E5E81005DAA0
- Base-36: TANIPC3P4H1NK
Squares and roots of 138815267049258212000
- 138815267049258212000 squared (1388152670492582120002) is 19269678365956872703871579449436944000000
- 138815267049258212000 cubed (1388152670492582120003) is 2674925548323616896995062453489621862319256268184128000000000
-
The
square root of 138815267049258212000 is 11781989095.6178622667 -
The
cube root of 138815267049258212000 is 5177805.6408350575
Scales and comparisons
How big is 138815267049258212000?- 138,815,267,049,258,212,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,815,267,049,258,212,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138815267049258212000 cubic inches would be around 431483.8 feet tall.
Recreational maths with 138815267049258212000
- 138815267049258212000 backwards is 000212852940762518831
- 138815267049258212000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138815267049258212000's digits is 74
- More coming soon!
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"Number 138815267049258212000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138815267049258212000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138815267049258212000/
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Numbermatics. 2024. "Number 138815267049258212000 - Facts about the integer". https://numbermatics.com/n/138815267049258212000/
The information we have on file for 138815267049258212000 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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