138280738182237735920550
138,280,738,182,237,735,920,550 is an even composite number composed of six prime numbers multiplied together.
138280738182237735920550 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138280738182237735920550:
2 × 38 × 52 × 11 × 132 × 150581332
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 15058133 × 15058133)See below for interesting mathematical facts about the number 138280738182237735920550 from the Numbermatics database.
Names of 138280738182237735920550
- Cardinal: 138280738182237735920550 can be written as One hundred thirty-eight sextillion, two hundred eighty quintillion, seven hundred thirty-eight quadrillion, one hundred eighty-two trillion, two hundred thirty-seven billion, seven hundred thirty-five million, nine hundred twenty thousand, five hundred fifty.
Scientific notation
- Scientific notation: 1.3828073818223773592055 × 1023
Factors of 138280738182237735920550
Divisors of 138280738182237735920550
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 5 6 9 10 11 13 15 18 22 25 26 27 30 33 39 45 50 54 55 65 66 75 78 81 90 99 110 117 130 135 143 150 162 165 169 195 198 225 234 243 270 275 286 297 325 330 338 351 390 405 429 450 486 495 507 550 585 594 650 675 702 715 729 810 825 845 858 891 975 990 1014 1053 1170 1215 1287 1350 1430 1458 1485 1521 1650 1690 1755 1782 1859 1950 2025 2106 2145 2187 2430 2475 2535 2574 2673 2925 2970 3042 3159 3510 3575 3645 3718 3861 4050 4225 4290 4374 4455 4563 4950 5070 5265 5346 5577 5850 6075 6318 6435 6561 7150 7290 7425 7605 7722 8019 8450 8775 8910 9126 9295 9477 10530 10725 10935 11154 11583 12150 12675 12870 13122 13365 13689 14850 15210 15795 16038 16731 17550 18225 18590 18954 19305 21450 21870 22275 22815 23166 24057 25350 26325 26730 27378 27885 28431 31590 32175 32805 33462 34749 36450 38025 38610 40095 41067 44550 45630 46475 47385 48114 50193 52650 54675 55770 56862 57915 64350 65610 66825 68445 69498 72171 76050 78975 80190 82134 83655 85293 92950 94770 96525 100386 104247 109350 114075 115830 120285 123201 133650 136890 139425 142155 144342 150579 157950 164025 167310 170586 173745 193050 200475 205335 208494 228150 236925 240570 246402 250965 278850 284310 289575 301158 312741 328050 342225 347490 360855 369603 400950 410670 418275 426465 451737 473850 501930 521235 579150 601425 616005 625482 684450 710775 721710 739206 752895 836550 852930 868725 903474 938223 1026675 1042470 1108809 1202850 1232010 1254825 1355211 1421550 1505790 1563705 1737450 1804275 1848015 1876446 2053350 2132325 2217618 2258685 2509650 2606175 2710422 3080025 3127410 3608550 3696030 3764475 4065633 4264650 4517370 4691115 5212350 5544045 6160050 6776055 7528950 7818525 8131266 9240075 9382230 11088090 11293425 12196899 13552110 15058133 15637050 18480150 20328165 22586850 23455575 24393798 27720225 30116266 33880275 40656330 45174399 46911150 55440450 60984495 67760550 75290665 90348798 101640825 121968990 135523197 150581330 165639463 195755729 203281650 225871995 271046394 304922475 331278926 376453325 391511458 406569591 451743990 496918389 587267187 609844950 677615985 752906650 813139182 828197315 978778645 993836778 1129359975 1174534374 1219708773 1355231970 1490755167 1656394630 1761801561 1957557290 2032847955 2153313019 2258719950 2439417546 2484591945 2544824477 2936335935 2981510334 3388079925 3523603122 3659126319 4065695910 4140986575 4306626038 4472265501 4893893225 4969183890 5089648954 5285404683 5872671870 6098543865 6459939057 6776159850 7318252638 7453775835 7634473431 8281973150 8809007805 8944531002 9787786450 10164239775 10570809366 10766565095 10977378957 12197087730 12422959725 12724122385 12919878114 13416796503 14681679675 14907551670 15268946862 15856214049 17618015610 18295631595 19379817171 20328479550 21533130190 21954757914 22361327505 22903420293 24845919450 25448244770 26427023415 26833593006 27993069247 29363359350 30492719325 31712428098 32299695285 32932136871 36591263190 37268879175 38172367155 38759634342 40250389509 44045039025 44722655010 45806840586 47568642147 52854046830 53832825475 54886894785 55986138494 58139451513 60985438650 63620611925 64599390570 65864273742 67083982515 68710260879 74537758350 76344734310 79281070245 80500779018 83979207741 88090078050 91478157975 95137284294 96899085855 98796410613 107665650950 109773789570 111806637525 114517101465 116278903026 120751168527 127241223850 132135117075 134167965030 137420521758 139965346235 142705926441 158562140490 161498476425 164660684355 167958415482 174418354539 182956315950 190861835775 193798171710 197592821226 201251947545 206130782637 223613275050 229034202930 237843210735 241502337054 251937623223 264270234150 274434473925 279930692470 285411852882 290697257565 322996952850 329321368710 335419912575 343551304395 348836709078 362253505581 381723671550 396405351225 402503895090 412261565274 419896038705 428117779323 475686421470 484495429275 493982053065 503875246446 523255063617 548868947850 572585507325 581394515130 603755842635 618392347911 670839825150 687102608790 699826731175 713529632205 724507011162 755812869669 792810702450 823303421775 839792077410 856235558646 872091772695 968990858550 987964106130 1006259737725 1030653913185 1046510127234 1086760516743 1145171014650 1189216053675 1207511685270 1236784695822 1259688116115 1284353337969 1399653462350 1427059264410 1453486287825 1511625739338 1569765190851 1646606843550 1717756521975 1744183545390 1811267527905 1855177043733 2012519475450 2061307826370 2099480193525 2140588896615 2173521033486 2267438609007 2378432107350 2469910265325 2519376232230 2568706675938 2616275318085 2906972575650 3018779213175 3091961739555 3139530381702 3435513043950 3567648161025 3622535055810 3710354087466 3779064348345 4198960387050 4281177793230 4360458863475 4534877218014 4709295572553 4939820530650 5153269565925 5232550636170 5433802583715 5565531131199 6037558426350 6183923479110 6298440580575 6421766689845 6802315827021 7135296322050 7558128696690 7848825954255 8720917726950 9056337639525 9275885218665 9418591145106 10306539131850 10702944483075 10867605167430 11131062262398 11337193045035 12596881161150 12843533379690 13081376590425 13604631654042 14127886717659 15459808697775 15697651908510 16696593393597 18112675279050 18551770437330 18895321741725 20406947481063 21405888966150 22674386090070 23546477862765 26162753180850 27169012918575 27827655655995 28255773435318 30919617395550 32108833449225 33393186787194 34011579135105 37790643483450 39244129771275 40813894962126 46379426093325 47092955725530 54338025837150 55655311311990 56685965225175 61220842443189 64217666898450 68023158270210 70639433588295 78488259542550 83482966967985 92758852186650 102034737405315 113371930450350 117732389313825 122441684886378 139138278279975 141278867176590 166965933935970 170057895675525 183662527329567 204069474810630 226747369445689 235464778627650 278276556559950 306104212215945 340115791351050 353197167941475 367325054659134 417414834839925 453494738891378 510173687026575 612208424431890 680242108337067 706394335882950 834829669679850 918312636647835 1020347374053150 1133736847228445 1360484216674134 1530521061079725 1836625273295670 2040726325011201 2267473694456890 2494221063902579 2947715802793957 3061042122159450 3401210541685335 4081452650022402 4591563183239175 4988442127805158 5668684236142225 5895431605587914 6122178975033603 6802421083370670 7482663191707737 8843147408381871 9183126366478350 10203631625056005 11337368472284450 12244357950067206 12471105319512895 14738579013969785 14965326383415474 17006052708426675 17686294816763742 18366536925100809 20407263250112010 22447989575123211 24942210639025790 26529442225145613 29477158027939570 30610894875168015 32424873830733527 34012105416853350 36733073850201618 37413315958538685 38320305436321441 44215737041909355 44895979150246422 51018158125280025 53058884450291226 55099610775302427 61221789750336030 62355526597564475 64849747661467054 67343968725369633 73692895069848925 74826631917077370 76640610872642882 79588326675436839 88431474083818710 91832684625504045 97274621492200581 102036316250560050 110199221550604854 112239947875616055 114960916308964323 124711053195128950 132647211125728065 134687937450739266 147385790139697850 153054474375840075 159176653350873678 162124369153667635 165298832325907281 183665369251008090 187066579792693425 191601527181607205 194549242984401162 202031906176108899 221078685209546775 224479895751232110 229921832617928646 238764980026310517 265294422251456130 275498053876512135 291823864476601743 306108948751680150 324248738307335270 330597664651814562 336719843626848165 344882748926892969 374133159585386850 383203054363214410 397941633377184195 404063812352217798 421523359799535851 442157370419093550 459163423127520225 477529960052621034 486373107461002905 495896496977721843 550996107753024270 561199739378080275 574804581544821615 583647728953203486 606095718528326697 663236055628640325 673439687253696330 689765497853785938 716294940078931551 795883266754368390 810621845768338175 826494161629536405 843046719599071702 875471593429805229 918326846255040450 958007635908036025 972746214922005810 991792993955443686 1010159530880544495 1034648246780678907 1122399478756160550 1149609163089643230 1193824900131552585 1212191437056653394 1264570079398607553 1326472111257280650 1377490269382560675 1432589880157863102 1459119322383008715 1487689490933165529 1621243691536676350 1652988323259072810 1683599218134240825 1724413744634464845 1750943186859610458 1818287155584980091 1916015271816072050 1989708166885920975 2020319061761088990 2069296493561357814 2107616798997679255 2148884820236794653 2387649800263105170 2431865537305014525 2479482484888609215 2529140158797215106 2626414780289415687 2754980538765121350 2874022907724108075 2918238644766017430 2975378981866331058 3030478592641633485 3103944740342036721 3367198436268481650 3448827489268929690 3581474700394657755 3636574311169960182 3793710238195822659 3979416333771841950 4132470808147682025 4215233597995358510 4297769640473589306 4377357967149026145 4863731074610029050 4958964969777218430 5050797654402722475 5173241233903394535 5252829560578831374 5454861466754940273 5748045815448216150 5969124500657762925 6060957185283266970 6207889480684073442 6322850396993037765 6446654460710383959 7162949400789315510 7295596611915043575 7438447454665827645 7587420476391645318 7879244340868247061 8264941616295364050 8622068723172324225 8754715934298052290 9091435777924900455 9311834221026110163 10101595308805444950 10346482467806789070 10538083994988396275 10744424101183973265 10909722933509880546 11381130714587467977 11938249001315525850 12397412424443046075 12645700793986075530 12893308921420767918 13132073901447078435 14591193223830087150 14876894909331655290 15152392963208167425 15519723701710183605 15758488681736494122 16364584400264820819 17244137446344648450 17907373501973288775 18182871555849800910 18623668442052220326 18968551190979113295 19339963382131151877 21076167989976792550 21488848202367946530 21886789835745130725 22762261429174935954 23637733022604741183 24794824848886092150 25866206169516972675 26264147802894156870 27274307333774701365 27935502663078330489 30304785926416334850 31039447403420367210 31614251984965188825 32233272303551919795 32729168800529641638 34143392143762403931 35814747003946577550 37192237273329138225 37937102381958226590 38679926764262303754 39396221704341235305 43773579671490261450 45457178889624502275 46559171105130550815 47275466045209482366 51732412339033945350 53722120505919866325 54548614667549402730 55871005326156660978 56905653572937339885 63228503969930377650 64466544607103839590 65660369507235392175 68286784287524807862 70913199067814223549 74384474546658276450 77598618508550918025 78792443408682470610 81822922001324104095 83806507989234991467 90914357779249004550 93118342210261101630 94842755954895566475 96699816910655759385 102430176431287211793 107444241011839732650 113811307145874679770 118188665113023705915 131320739014470784350 136371536668873506825 139677513315391652445 141826398135628447098 155197237017101836050 161166361517759598975 163645844002648208190 167613015978469982934 170716960718812019655 189685511909791132950 193399633821311518770 196981108521706176525 204860352862574423586 212739597203442670647 232795855525652754075 236377330226047411830 251419523967704974401 272743073337747013650 279355026630783304890 284528267864686699425 307290529293861635379 322332723035519197950 341433921437624039310 354565995339071117745 393962217043412353050 409114610006620520475 419032539946174957335 425479194406885341294 465591711051305508150 483499084553278796925 502839047935409948802 512150882156436058965 569056535729373398850 590943325565118529575 614581058587723270758 698387566576958262225 709131990678142235490 818229220013241040950 838065079892349914670 853584803594060098275 921871587881584906137 966998169106557593850 1024301764312872117930 1063697986017213353235 1181886651130237059150 1257097619838524872005 1396775133153916524450 1536452646469308176895 1707169607188120196550 1772829976695355588725 1843743175763169812274 2095162699730874786675 2127395972034426706470 2514195239677049744010 2560754410782180294825 2765614763644754718411 3072905292938616353790 3545659953390711177450 4190325399461749573350 4609357939407924530685 5121508821564360589650 5318489930086066766175 5531229527289509436822 6285488099192624360025 7682263232346540884475 9218715878815849061370 10636979860172133532350 12570976198385248720050 13828073818223773592055 15364526464693081768950 23046789697039622653425 27656147636447547184110 46093579394079245306850 69140369091118867960275 138280738182237735920550
- Sum of all divisors σ(n): 455718650214518601020604
- Sum of proper divisors (its aliquot sum) s(n): 317437912032280865100054
- 138280738182237735920550 is an abundant number, because the sum of its proper divisors (317437912032280865100054) is greater than itself. Its abundance is 179157173850043129179504
Bases of 138280738182237735920550
- Binary: 111010100100000110110101111100000110111111110101000110110000010100011101001102
- Hexadecimal: 0x1D4836BE0DFEA360A3A6
- Base-36: MIN47YISRY5WCDI
Squares and roots of 138280738182237735920550
- 138280738182237735920550 squared (1382807381822377359205502) is 19121562552224581262296119125248119755912302500
- 138280738182237735920550 cubed (1382807381822377359205503) is 2644143784919448905471860235189848362642024171052612507539907566375000
-
The
square root of 138280738182237735920550 is 371861181332.8163673123 -
The
cube root of 138280738182237735920550 is 51711511.2142927887
Scales and comparisons
How big is 138280738182237735920550?- 138,280,738,182,237,735,920,550 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,280,738,182,237,735,920,550 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 138280738182237735920550 cubic inches would be around 4309292.6 feet tall.
Recreational maths with 138280738182237735920550
- 138280738182237735920550 backwards is 055029537732281837082831
- 138280738182237735920550 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 138280738182237735920550's digits is 99
- More coming soon!
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"Number 138280738182237735920550 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138280738182237735920550 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138280738182237735920550/
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Numbermatics. 2024. "Number 138280738182237735920550 - Facts about the integer". https://numbermatics.com/n/138280738182237735920550/
The information we have on file for 138280738182237735920550 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 138280738182237735920550, math, Factors of 138280738182237735920550, curriculum, school, college, exams, university, Prime factorization of 138280738182237735920550, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, two hundred eighty quintillion, seven hundred thirty-eight quadrillion, one hundred eighty-two trillion, two hundred thirty-seven billion, seven hundred thirty-five million, nine hundred twenty thousand, five hundred fifty.