137993808975641815942144
137,993,808,975,641,815,942,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 137993808975641815942144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 693 divisors.
137993808975641815942144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred ninety-three divisors.
Prime factorization of 137993808975641815942144:
210 × 76 × 672 × 5051392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 67 × 67 × 505139 × 505139)See below for interesting mathematical facts about the number 137993808975641815942144 from the Numbermatics database.
Names of 137993808975641815942144
- Cardinal: 137993808975641815942144 can be written as One hundred thirty-seven sextillion, nine hundred ninety-three quintillion, eight hundred eight quadrillion, nine hundred seventy-five trillion, six hundred forty-one billion, eight hundred fifteen million, nine hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37993808975641815942144 × 1023
Factors of 137993808975641815942144
Divisors of 137993808975641815942144
- Number of divisors d(n): 693
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 128 134 196 224 256 268 343 392 448 469 512 536 686 784 896 938 1024 1072 1372 1568 1792 1876 2144 2401 2744 3136 3283 3584 3752 4288 4489 4802 5488 6272 6566 7168 7504 8576 8978 9604 10976 12544 13132 15008 16807 17152 17956 19208 21952 22981 25088 26264 30016 31423 33614 34304 35912 38416 43904 45962 50176 52528 60032 62846 67228 68608 71824 76832 87808 91924 105056 117649 120064 125692 134456 143648 153664 160867 175616 183848 210112 219961 235298 240128 251384 268912 287296 307328 321734 351232 367696 420224 439922 470596 480256 502768 505139 537824 574592 614656 643468 735392 840448 879844 941192 1005536 1010278 1075648 1126069 1149184 1229312 1286936 1470784 1539727 1680896 1759688 1882384 2011072 2020556 2151296 2252138 2298368 2458624 2573872 2941568 3079454 3361792 3519376 3535973 3764768 4022144 4041112 4302592 4504276 4596736 5147744 5883136 6158908 7038752 7071946 7529536 7882483 8044288 8082224 8605184 9008552 10295488 10778089 11766272 12317816 14077504 14143892 15059072 15764966 16088576 16164448 17210368 18017104 20590976 21556178 23532544 24635632 24751811 28155008 28287784 30118144 31529932 32177152 32328896 33844313 36034208 41181952 43112356 49271264 49503622 56310016 56575568 60236288 63059864 64657792 67688626 72068416 75446623 82363904 86224712 98542528 99007244 112620032 113151136 120472576 126119728 129315584 135377252 144136832 150893246 164727808 172449424 173262677 197085056 198014488 225240064 226302272 236910191 252239456 258631168 270754504 288273664 301786492 344898848 346525354 394170112 396028976 452604544 473820382 504478912 517262336 528126361 541509008 576547328 603572984 689797696 693050708 788340224 792057952 905209088 947640764 1008957824 1056252722 1083018016 1153094656 1207145968 1212838739 1379595392 1386101416 1576680448 1584115904 1658371337 1810418176 1895281528 2017915648 2112505444 2166036032 2267568971 2414291936 2425677478 2759190784 2772202832 3168231808 3316742674 3620836352 3790563056 4035831296 4225010888 4332072064 4535137942 4828583872 4851354956 5518381568 5544405664 6336463616 6633485348 7581126112 8071662592 8450021776 8489871173 8664144128 9070275884 9657167744 9702709912 11036763136 11088811328 11608599359 12672927232 13266970696 15162252224 15872982797 16900043552 16979742346 17328288256 18140551768 19314335488 19405419824 22177622656 23217198718 25345854464 26533941392 30324504448 31745965594 33800087104 33959484692 34656576512 36281103536 38628670976 38810839648 44355245312 46434397436 53067882784 59429098211 60649008896 63491931188 67600174208 67918969384 72562207072 77257341952 77621679296 81260195513 88710490624 92868794872 106135765568 111110879579 118858196422 121298017792 126983862376 135200348416 135837938768 145124414144 155243358592 162520391026 177420981248 185737589744 212271531136 222221759158 237716392844 242596035584 253967724752 255165409321 270400696832 271675877536 290248828288 310486717184 325040782052 371475179488 424543062272 444443518316 475432785688 507935449504 510330818642 540801393664 543351755072 568821368591 580497656576 620973434368 650081564104 742950358976 777776157053 849086124544 888887036632 950865571376 1015870899008 1020661637284 1086703510144 1137642737182 1160995313152 1241946868736 1300163128208 1485900717952 1555552314106 1698172249088 1777774073264 1786157865247 1901731142752 2031741798016 2041323274568 2173407020288 2275285474364 2321990626304 2600326256416 2971801435904 3111104628212 3555548146528 3572315730494 3803462285504 3981749580137 4063483596032 4082646549136 4346814040576 4550570948728 5200652512832 5444433099371 5943602871808 6222209256424 7111096293056 7144631460988 7606924571008 7963499160274 8126967192064 8165293098272 8693628081152 9101141897456 10401305025664 10888866198742 11887205743616 12444418512848 12503105056729 14222192586112 14289262921976 15213849142016 15926998320548 16253934384128 16330586196544 17096082424507 18202283794912 20802610051328 21777732397484 24888837025696 25006210113458 28444385172224 28578525843952 30427698284032 31853996641096 32661172393088 34192164849014 36404567589824 38111031695597 41605220102656 43555464794968 49777674051392 50012420226916 56888770344448 57157051687904 60855396568064 63707993282192 65322344786176 68384329698028 72809135179648 76222063391194 83210440205312 87110929589936 87521735397103 99555348102784 100024840453832 113777540688896 114314103375808 119672576971549 127415986564384 130644689572352 136768659396056 145618270359296 152444126782388 174221859179872 175043470794206 199110696205568 200049680907664 228628206751616 239345153943098 254831973128768 261289379144704 266777221869179 273537318792112 291236540718592 304888253564776 348443718359744 350086941588412 398221392411136 400099361815328 457256413503232 478690307886196 509663946257536 533554443738358 547074637584224 582473081437184 609776507129552 612652147779721 696887436719488 700173883176824 796442784822272 800198723630656 837708038800843 914512827006464 957380615772392 1019327892515072 1067108887476716 1094149275168448 1145437522441969 1219553014259104 1225304295559442 1393774873438976 1400347766353648 1600397447261312 1675416077601686 1829025654012928 1914761231544784 2038655785030144 2134217774953432 2188298550336896 2290875044883938 2439106028518208 2450608591118884 2787549746877952 2800695532707296 3200794894522624 3350832155203372 3829522463089568 4077311570060288 4268435549906864 4288565034458047 4376597100673792 4581750089767876 4878212057036416 4901217182237768 5575099493755904 5601391065414592 5863956271605901 6401589789045248 6701664310406744 7659044926179136 8018062657093783 8536871099813728 8577130068916094 8753194201347584 9163500179535752 9756424114072832 9802434364475536 11202782130829184 11727912543211802 12803179578090496 13403328620813488 15318089852358272 16036125314187566 17073742199627456 17154260137832188 17506388402695168 18327000359071504 19512848228145664 19604868728951072 22405564261658368 23455825086423604 26806657241626976 30019955241206329 30636179704716544 32072250628375132 34147484399254912 34308520275664376 36654000718143008 39025696456291328 39209737457902144 41047693901241307 44811128523316736 46911650172847208 53613314483253952 56126438599656481 60039910482412658 61272359409433088 64144501256750264 68294968798509824 68617040551328752 73308001436286016 78419474915804288 82095387802482614 89622257046633472 93823300345694416 107226628966507904 112252877199312962 120079820964825316 122544718818866176 128289002513500528 136589937597019648 137234081102657504 146616002872572032 156838949831608576 164190775604965228 187646600691388832 214453257933015808 224505754398625924 240159641929650632 256578005027001056 273179875194039296 274468162205315008 287333857308689149 293232005745144064 313677899663217152 328381551209930456 375293201382777664 392885070197595367 428906515866031616 449011508797251848 480319283859301264 513156010054002112 548936324410630016 574667714617378298 586464011490288128 627355799326434304 656763102419860912 750586402765555328 785770140395190734 857813031732063232 898023017594503696 960638567718602528 1026312020108004224 1097872648821260032 1149335429234756596 1172928022980576256 1313526204839721824 1501172805531110656 1571540280790381468 1796046035189007392 1921277135437205056 2011337001160824043 2052624040216008448 2195745297642520064 2298670858469513192 2627052409679443648 2750195491383167569 3002345611062221312 3143080561580762936 3592092070378014784 3842554270874410112 4022674002321648086 4105248080432016896 4391490595285040128 4597341716939026384 5254104819358887296 5500390982766335138 6004691222124442624 6286161123161525872 7184184140756029568 7685108541748820224 8045348004643296172 8210496160864033792 9194683433878052768 10508209638717774592 11000781965532670276 12572322246323051744 14368368281512059136 15370217083497640448 16090696009286592344 18389366867756105536 19251368439682172983 21016419277435549184 22001563931065340552 25144644492646103488 28736736563024118272 30740434166995280896 32181392018573184688 36778733735512211072 38502736879364345966 42032838554871098368 44003127862130681104 50289288985292206976 57473473126048236544 64362784037146369376 73557467471024422144 77005473758728691932 88006255724261362208 100578577970584413952 128725568074292738752 134759579077775210881 147114934942048844288 154010947517457383864 176012511448522724416 201157155941168827904 257451136148585477504 269519158155550421762 294229869884097688576 308021895034914767728 352025022897045448832 402314311882337655808 514902272297170955008 539038316311100843524 616043790069829535456 704050045794090897664 1029804544594341910016 1078076632622201687048 1232087580139659070912 1408100091588181795328 2059609089188683820032 2156153265244403374096 2464175160279318141824 2816200183176363590656 4312306530488806748192 4928350320558636283648 8624613060977613496384 9856700641117272567296 17249226121955226992768 19713401282234545134592 34498452243910453985536 68996904487820907971072 137993808975641815942144
- Sum of all divisors σ(n): 326703685460824083508383
- Sum of proper divisors (its aliquot sum) s(n): 188709876485182267566239
- 137993808975641815942144 is an abundant number, because the sum of its proper divisors (188709876485182267566239) is greater than itself. Its abundance is 50716067509540451624095
Bases of 137993808975641815942144
- Binary: 111010011100010101000110011001011110011001111110100001110011000000100000000002
- Hexadecimal: 0x1D38A8CCBCCFD0E60400
- Base-36: MGYK9MNTRG438XS
Squares and roots of 137993808975641815942144
- 137993808975641815942144 squared (1379938089756418159421442) is 19042291315605923803660069503588390190355316736
- 137993808975641815942144 cubed (1379938089756418159421443) is 2627718310264246931881979162149672956539613570082007690713035370921984
-
137993808975641815942144 is a
perfect square number . Itssquare root is 371475179488 -
The
cube root of 137993808975641815942144 is 51675719.7332778485
Scales and comparisons
How big is 137993808975641815942144?- 137,993,808,975,641,815,942,144 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,993,808,975,641,815,942,144 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 137993808975641815942144 cubic inches would be around 4306310 feet tall.
Recreational maths with 137993808975641815942144
- 137993808975641815942144 backwards is 441249518146579808399731
- The number of decimal digits it has is: 24
- The sum of 137993808975641815942144's digits is 118
- More coming soon!
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The information we have on file for 137993808975641815942144 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 137993808975641815942144, math, Factors of 137993808975641815942144, curriculum, school, college, exams, university, Prime factorization of 137993808975641815942144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven sextillion, nine hundred ninety-three quintillion, eight hundred eight quadrillion, nine hundred seventy-five trillion, six hundred forty-one billion, eight hundred fifteen million, nine hundred forty-two thousand, one hundred forty-four.