138648208909437808128
138,648,208,909,437,808,128 is an even composite number composed of five prime numbers multiplied together.
138648208909437808128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138648208909437808128:
29 × 32 × 292 × 833 × 3973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 29 × 83 × 83 × 83 × 397 × 397 × 397)See below for interesting mathematical facts about the number 138648208909437808128 from the Numbermatics database.
Names of 138648208909437808128
- Cardinal: 138648208909437808128 can be written as One hundred thirty-eight quintillion, six hundred forty-eight quadrillion, two hundred eight trillion, nine hundred nine billion, four hundred thirty-seven million, eight hundred eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38648208909437808128 × 1020
Factors of 138648208909437808128
Divisors of 138648208909437808128
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 83 87 96 116 128 144 166 174 192 232 249 256 261 288 332 348 384 397 464 498 512 522 576 664 696 747 768 794 841 928 996 1044 1152 1191 1328 1392 1494 1536 1588 1682 1856 1992 2088 2304 2382 2407 2523 2656 2784 2988 3176 3364 3573 3712 3984 4176 4608 4764 4814 5046 5312 5568 5976 6352 6728 6889 7146 7221 7424 7569 7968 8352 9528 9628 10092 10624 11136 11513 11952 12704 13456 13778 14292 14442 14848 15138 15936 16704 19056 19256 20184 20667 21248 21663 22272 23026 23904 25408 26912 27556 28584 28884 30276 31872 32951 33408 34539 38112 38512 40368 41334 42496 43326 44544 46052 47808 50816 53824 55112 57168 57768 60552 62001 63744 65902 66816 69078 69803 76224 77024 80736 82668 86652 92104 95616 98853 101632 103617 107648 110224 114336 115536 121104 124002 127488 131804 133632 138156 139606 152448 154048 157609 161472 165336 173304 184208 191232 197706 199781 203264 207234 209409 215296 220448 228672 231072 242208 248004 263608 276312 279212 296559 304896 308096 315218 322944 330672 333877 346608 368416 382464 395412 399562 414468 418818 430592 440896 457344 462144 472827 484416 496008 527216 552624 558424 571787 593118 599343 609792 616192 628227 630436 645888 661344 667754 693216 736832 790824 799124 828936 837636 881792 914688 924288 945654 955579 968832 992016 1001631 1054432 1105248 1116848 1143574 1186236 1198686 1232384 1256454 1260872 1291776 1322688 1335508 1386432 1418481 1473664 1581648 1598248 1657872 1675272 1715361 1763584 1798029 1829376 1848576 1891308 1911158 1937664 1984032 2003262 2108864 2210496 2233696 2287148 2372472 2397372 2512908 2521744 2645376 2671016 2734933 2772864 2836962 2866737 2947328 3004893 3163296 3196496 3315744 3350544 3430722 3527168 3596058 3697152 3782616 3822316 3875328 3968064 4006524 4217728 4420992 4467392 4570661 4574296 4744944 4794744 5025816 5043488 5146083 5290752 5342032 5469866 5545728 5673924 5733474 5793649 5894656 6009786 6326592 6392992 6631488 6701088 6861444 7192116 7565232 7644632 7936128 8013048 8204799 8435456 8600211 8841984 8934784 9141322 9148592 9489888 9589488 10051632 10086976 10292166 10581504 10684064 10939732 11091456 11347848 11466948 11587298 12019572 12653184 12785984 13081547 13262976 13402176 13711983 13722888 14384232 15130464 15289264 15872256 16026096 16409598 16581823 16870912 17200422 17380947 17683968 17869568 18282644 18297184 18979776 19178976 20103264 20173952 20584332 21368128 21879464 22695696 22933896 23174596 24039144 24614397 25306368 25571968 26163094 26525952 26804352 27423966 27445776 27711791 28768464 30260928 30578528 31744512 32052192 32819196 33163646 34400844 34761894 35739136 36565288 36594368 37959552 38357952 39244641 40206528 40347904 41135949 41168664 42736256 43758928 45391392 45867792 46349192 48078288 49228794 49745469 50612736 51143936 52142841 52326188 53051904 53608704 54847932 54891552 55423582 57536928 60521856 61157056 62570773 64104384 65638392 66327292 68801688 69523788 73130576 73188736 75919104 76715904 78489282 79313057 80413056 80695808 82271898 82337328 83135373 85472512 87517856 90782784 91735584 92698384 96156576 98457588 99490938 102287872 104285682 104652376 107217408 109695864 109783104 110847164 115073856 117733923 121043712 122314112 125141546 128208768 131276784 132549169 132654584 137603376 139047576 146261152 146377472 149236407 151838208 153431808 156978564 158626114 160826112 164543796 164674656 166270746 170945024 175035712 181565568 183471168 185396768 187712319 192313152 196915176 198981876 208571364 209304752 219391728 219566208 221694328 226999439 230147712 235467846 237939171 242087424 244628224 249406119 250283092 256417536 262553568 265098338 265309168 275206752 278095152 292522304 292754944 298472814 306863616 313957128 317252228 321652224 329087592 329349312 332541492 350071424 363131136 366942336 370793536 375424638 379364863 384626304 393830352 397647507 397963752 417142728 418609504 438783456 439132416 443388656 453998878 460295424 470935692 475878342 480872867 489256448 498812238 500566184 512835072 525107136 530196676 530618336 550413504 556190304 563136957 585044608 596945628 627914256 634504456 658175184 658698624 665082984 680998317 700142848 713817513 726262272 733884672 741587072 750849276 758729726 769252608 787660704 795295014 795927504 834285456 837219008 877566912 878264832 886777312 907997756 920590848 941871384 951756684 961745734 997624476 1001132368 1050214272 1060393352 1061236672 1085768401 1100827008 1112380608 1126273914 1138094589 1170089216 1192942521 1193891256 1255828512 1269008912 1316350368 1317397248 1330165968 1361996634 1400285696 1427635026 1442618601 1467769344 1483174144 1501698552 1517459452 1538505216 1575321408 1590590028 1591855008 1668570912 1674438016 1755133824 1773554624 1814552417 1815995512 1883742768 1903513368 1923491468 1995248952 2002264736 2042994951 2100428544 2120786704 2122473344 2171536802 2201654016 2224761216 2252547828 2276189178 2300078653 2340178432 2385885042 2387782512 2511657024 2538017824 2632700736 2634794496 2660331936 2723993268 2855270052 2885237202 2966348288 3003397104 3034918904 3150642816 3181180056 3183710016 3257305203 3337141824 3348876032 3414283767 3510267648 3547109248 3629104834 3631991024 3767485536 3807026736 3846982936 3990497904 4004529472 4085989902 4200857088 4241573408 4244946688 4327855803 4343073604 4403308032 4449522432 4505095656 4552378356 4600157306 4771770084 4775565024 5023314048 5076035648 5193374159 5265401472 5320663872 5443657251 5447986536 5710540104 5770474404 6006794208 6069837808 6301285632 6362360112 6367420032 6514610406 6582983731 6674283648 6697752064 6828567534 6900235959 7020535296 7094218496 7258209668 7263982048 7534971072 7614053472 7693965872 7980995808 8009058944 8171979804 8483146816 8489893376 8655711606 8686147208 8899044864 9010191312 9104756712 9200314612 9543540168 9551130048 9771915609 10046628096 10152071296 10386748318 10530802944 10641327744 10887314502 10895973072 11001581027 11421080208 11540948808 12013588416 12139675616 12602571264 12724720224 12734840064 13029220812 13165967462 13348567296 13657135068 13800471918 14188436992 14516419336 14527964096 15069942144 15228106944 15387931744 15580122477 15961991616 16018117888 16330971753 16343959608 16966293632 17311423212 17372294416 18020382624 18209513424 18400629224 19087080336 19102260096 19543831218 19748951193 20093256192 20304142592 20700707877 20773496636 21061605888 21282655488 21774629004 21791946144 22003162054 22842160416 23081897616 24027176832 24279351232 25449440448 25469680128 26058441624 26331934924 26697134592 27314270136 27600943836 29032838672 29055928192 30139884288 30456213888 30775863488 31160244954 31487283629 31923983232 32036235776 32661943506 32687919216 33004743081 33932587264 34622846424 34744588832 36040765248 36419026848 36801258448 38174160672 38204520192 39087662436 39497902386 40608285184 41401415754 41546993272 42565310976 43549258008 43583892288 44006324108 45684320832 46163795232 46740367431 48054353664 48558702464 50898880896 52116883248 52622020093 52663869848 54628540272 55201887672 58065677344 58111856384 59246853579 60279768576 60912427776 61551726976 62320489908 62974567258 63847966464 65323887012 65375838432 66009486162 67865174528 69245692848 69489177664 72081530496 72838053696 73602516896 76348321344 76409040384 78175324872 78995804772 82802831508 83093986544 87098516016 87167784576 88012648216 90118777283 91368641664 92327590464 93480734862 94461850887 96108707328 97117404928 99014229243 101797761792 104233766496 105244040186 105327739696 109257080544 110403775344 116131354688 116223712768 118493707158 121824855552 123103453952 124640979816 125949134516 127695932928 130647774024 130751676864 132018972324 138491385696 138978355328 144163060992 145676107392 147205033792 150607850611 152696642688 156350649744 157866060279 157991609544 165605663016 166187973088 174197032032 174335569152 176025296432 180237554566 182737283328 184655180928 186961469724 188923701774 190906528199 194234809856 198028458486 203595523584 208467532992 210488080372 210655479392 218514161088 220807550688 232262709376 236987414316 246206907904 249281959632 251898269032 261295548048 261503353728 264037944648 270356331849 276982771392 277956710656 283385552661 288326121984 291352214784 294410067584 301215701222 305393285376 312701299488 315732120558 315983219088 331211326032 332375946176 348394064064 348671138304 352050592864 360475109132 365474566656 369310361856 373922939448 377847403548 381813056398 396056916972 416935065984 420976160744 421310958784 431050055197 437028322176 441615101376 451823551833 464525418752 473598180837 473974828632 498563919264 503796538064 522591096096 523006707456 528075889296 540712663698 553965542784 555913421312 566771105322 572719584597 582704429568 588820135168 602431402444 610786570752 625402598976 631464241116 631966438176 662422652064 664751892352 696788128128 704101185728 720950218264 738620723712 747845878896 755694807096 763626112796 792113833944 811068995547 833870131968 841952321488 842621917568 862100110394 874056644352 883230202752 903647103666 913131225241 929050837504 947196361674 947949657264 997127838528 1007593076128 1045182192192 1046013414912 1056151778592 1081425327396 1107931085568 1133542210644 1145439169194 1177640270336 1204862804888 1250805197952 1262928482232 1263932876352 1293150165591 1324845304128 1329503784704 1355470655499 1393576256256 1408202371456 1441900436528 1495691757792 1511389614192 1527252225592 1584227667888 1622137991094 1667740263936 1683904642976 1685243835136 1718158753791 1724200220788 1748113288704 1766460405504 1807294207332 1826262450482 1894392723348 1895899314528 1994255677056 2015186152256 2090364384384 2112303557184 2162850654792 2215862171136 2267084421288 2290878338388 2409725609776 2501610395904 2525856964464 2527865752704 2586300331182 2613444541207 2649690608256 2659007569408 2710941310998 2739393675723 2787152512512 2816404742912 2883800873056 2991383515584 3022779228384 3054504451184 3168455335776 3244275982188 3367809285952 3370487670272 3436317507582 3448400441576 3532920811008 3614588414664 3652524900964 3788785446696 3791798629056 3879450496773 3988511354112 4030372304512 4180728768768 4224607114368 4325701309584 4367627667719 4534168842576 4581756676776 4819451219552 5003220791808 5051713928928 5055731505408 5172600662364 5226889082414 5299381216512 5421882621996 5478787351446 5632809485824 5767601746112 5982767031168 6045558456768 6109008902368 6336910671552 6488551964376 6735618571904 6872635015164 6896800883152 7229176829328 7305049801928 7577570893392 7583597258112 7758900993546 7840333623621 7977022708224 8060744609024 8218181027169 8361457537536 8449214228736 8651402619168 8735255335438 9068337685152 9163513353552 9638902439104 10103427857856 10111463010816 10345201324728 10453778164828 10598762433024 10843765243992 10957574702892 11535203492224 11965534062336 12091116913536 12218017804736 12500451600713 12673821343104 12977103928752 13102883003157 13471237143808 13745270030328 13793601766304 14458353658656 14610099603856 15155141786784 15167194516224 15517801987092 15680667247242 16121489218048 16436362054338 16898428457472 17302805238336 17470510670876 18136675370304 18327026707104 19277804878208 20206855715712 20690402649456 20907556329656 21687530487984 21915149405784 23070406984448 23521000870863 23931068124672 24182233827072 24436035609472 25000903201426 25347642686208 25954207857504 26205766006314 26942474287616 27490540060656 27587203532608 28916707317312 29220199207712 30310283573568 30334389032448 31035603974184 31361334494484 32872724108676 34605610476672 34941021341752 35777154581351 36273350740608 36654053414208 37501354802139 38555609756416 39308649009471 40413711431424 41380805298912 41815112659312 43375060975968 43830298811568 46140813968896 47042001741726 48364467654144 48872071218944 50001806402852 50695285372416 51908415715008 52411532012628 54981080121312 55174407065216 57833414634624 58440398415424 60620567147136 62071207948368 62722668988968 65745448217352 69211220953344 69882042683504 71554309162702 72546701481216 73308106828416 75002709604278 75789891695003 77111219512832 78617298018942 80827422862848 82761610597824 83630225318624 86750121951936 87660597623136 94084003483452 97744142437888 100003612805704 103816831430016 104823064025256 107331463744053 109962160242624 110348814130432 112504064406417 115666829269248 116880796830848 121241134294272 124142415896736 125445337977936 131490896434704 138422441906688 139764085367008 143108618325404 145093402962432 146616213656832 150005419208556 151579783390006 157234596037884 165523221195648 167260450637248 173500243903872 175321195246272 188168006966904 200007225611408 207633662860032 209646128050512 214662927488106 219924320485248 220697628260864 225008128812834 227369675085009 231333658538496 233761593661696 242482268588544 248284831793472 250890675955872 262981792869408 279528170734016 286217236650808 293232427313664 300010838417112 303159566780012 314469192075768 321994391232159 331046442391296 334520901274496 347000487807744 350642390492544 362513096420677 376336013933808 400014451222816 415267325720064 419292256101024 429325854976212 439848640970496 450016257625668 454739350170018 467523187323392 496569663586944 501781351911744 525963585738816 559056341468032 572434473301616 600021676834224 606319133560024 628938384151536 643988782464318 662092884782592 669041802548992 682109025255027 694000975615488 701284780985088 725026192841354 752672027867616 800028902445632 838584512202048 858651709952424 879697281940992 900032515251336 909478700340036 993139327173888 1003562703823488 1037537482859179 1051927171477632 1087539289262031 1118112682936064 1144868946603232 1200043353668448 1212638267120048 1257876768303072 1287977564928636 1338083605097984 1364218050510054 1402569561970176 1450052385682708 1505344055735232 1600057804891264 1677169024404096 1717303419904848 1800065030502672 1818957400680072 1986278654347776 2007125407646976 2075074965718358 2103854342955264 2175078578524062 2236225365872128 2289737893206464 2400086707336896 2425276534240096 2515753536606144 2575955129857272 2728436101020108 2900104771365416 3010688111470464 3112612448577537 3200115609782528 3262617867786093 3354338048808192 3434606839809696 3600130061005344 3637914801360144 4014250815293952 4150149931436716 4207708685910528 4350157157048124 4579475786412928 4800173414673792 4850553068480192 5031507073212288 5151910259714544 5456872202040216 5800209542730832 6021376222940928 6225224897155074 6400231219565056 6525235735572186 6708676097616384 6869213679619392 7200260122010688 7275829602720288 8300299862873432 8700314314096248 9158951572825856 9337837345732611 9600346829347584 9701106136960384 10063014146424576 10303820519429088 10913744404080432 11600419085461664 12042752445881856 12450449794310148 13050471471144372 13738427359238784 14400520244021376 14551659205440576 16600599725746864 17400628628192496 18317903145651712 18675674691465222 19200693658695168 19402212273920768 20126028292849152 20607641038858176 21827488808160864 23200838170923328 24900899588620296 26100942942288744 27476854718477568 28801040488042752 29103318410881152 30088587002916191 33201199451493728 34801257256384992 37351349382930444 38804424547841536 41215282077716352 43654977616321728 46401676341846656 49801799177240592 52201885884577488 54953709436955136 57602080976085504 58206636821762304 60177174005832382 66402398902987456 69602514512769984 74702698765860888 82430564155432704 87309955232643456 90265761008748573 92803352683693312 99603598354481184 104403771769154976 116413273643524608 120354348011664764 132804797805974912 139205029025539968 149405397531721776 164861128310865408 174619910465286912 180531522017497146 185606705367386624 199207196708962368 208807543538309952 240708696023329528 265609595611949824 270797283026245719 278410058051079936 298810795063443552 349239820930573824 361063044034994292 398414393417924736 417615087076619904 481417392046659056 531219191223899648 541594566052491438 556820116102159872 597621590126887104 722126088069988584 796828786835849472 835230174153239808 962834784093318112 1083189132104982876 1195243180253774208 1444252176139977168 1593657573671698944 1670460348306479616 1925669568186636224 2166378264209965752 2390486360507548416 2888504352279954336 3851339136373272448 4332756528419931504 4780972721015096832 5777008704559908672 7702678272746544896 8665513056839863008 11554017409119817344 15405356545493089792 17331026113679726016 23108034818239634688 34662052227359452032 46216069636479269376 69324104454718904064 138648208909437808128
- Sum of all divisors σ(n): 420535332426200191200
- Sum of proper divisors (its aliquot sum) s(n): 281887123516762383072
- 138648208909437808128 is an abundant number, because the sum of its proper divisors (281887123516762383072) is greater than itself. Its abundance is 143238914607324574944
Bases of 138648208909437808128
- Binary: 11110000100001000010110001101101001110101110011000010101110000000002
- Hexadecimal: 0x784216369D730AE00
- Base-36: T9DTS61QWR5S0
Squares and roots of 138648208909437808128
- 138648208909437808128 squared (1386482089094378081282) is 19223325833795109595867196100660942864384
- 138648208909437808128 cubed (1386482089094378081283) is 2665279696138217095847573444052230052899464954555226916913152
-
The
square root of 138648208909437808128 is 11774897405.4739775523 -
The
cube root of 138648208909437808128 is 5175727.7190431573
Scales and comparisons
How big is 138648208909437808128?- 138,648,208,909,437,808,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,648,208,909,437,808,128 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 138648208909437808128 cubic inches would be around 431310.6 feet tall.
Recreational maths with 138648208909437808128
- 138648208909437808128 backwards is 821808734909802846831
- The number of decimal digits it has is: 21
- The sum of 138648208909437808128's digits is 99
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138648208909437808128 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138648208909437808128 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138648208909437808128/
Chicago style:
Numbermatics. 2024. "Number 138648208909437808128 - Facts about the integer". https://numbermatics.com/n/138648208909437808128/
The information we have on file for 138648208909437808128 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!
Keywords: Divisors of 138648208909437808128, math, Factors of 138648208909437808128, curriculum, school, college, exams, university, Prime factorization of 138648208909437808128, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred forty-eight quadrillion, two hundred eight trillion, nine hundred nine billion, four hundred thirty-seven million, eight hundred eight thousand, one hundred twenty-eight.