137990843886558208
137,990,843,886,558,208 is an even composite number composed of six prime numbers multiplied together.
What does the number 137990843886558208 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1782 divisors.
137990843886558208 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 137990843886558208:
210 × 7 × 132 × 432 × 472 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 43 × 43 × 47 × 47 × 167 × 167)See below for interesting mathematical facts about the number 137990843886558208 from the Numbermatics database.
Names of 137990843886558208
- Cardinal: 137990843886558208 can be written as One hundred thirty-seven quadrillion, nine hundred ninety trillion, eight hundred forty-three billion, eight hundred eighty-six million, five hundred fifty-eight thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.37990843886558208 × 1017
Factors of 137990843886558208
Divisors of 137990843886558208
- Number of divisors d(n): 1782
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 43 47 52 56 64 86 91 94 104 112 128 167 169 172 182 188 208 224 256 301 329 334 338 344 364 376 416 448 512 559 602 611 658 668 676 688 728 752 832 896 1024 1118 1169 1183 1204 1222 1316 1336 1352 1376 1456 1504 1664 1792 1849 2021 2171 2209 2236 2338 2366 2408 2444 2632 2672 2704 2752 2912 3008 3328 3584 3698 3913 4042 4277 4342 4418 4472 4676 4732 4816 4888 5264 5344 5408 5504 5824 6016 6656 7168 7181 7267 7396 7826 7849 7943 8084 8554 8684 8836 8944 9352 9464 9632 9776 10528 10688 10816 11008 11648 12032 12943 13312 14147 14362 14534 14792 15197 15463 15652 15698 15886 16168 17108 17368 17672 17888 18704 18928 19264 19552 21056 21376 21632 22016 23296 24037 24064 25886 26273 27889 28223 28294 28717 28724 29068 29584 30394 30926 31304 31396 31772 32336 34216 34736 35344 35776 37408 37856 38528 39104 42112 42752 43264 44032 46592 48074 48128 50267 50869 51772 52546 54943 55601 55778 56446 56588 57434 57448 58136 59168 60788 61852 62608 62792 63544 64672 68432 69472 70688 71552 74816 75712 77056 78208 84224 85504 86528 86903 93184 93353 94987 96148 100534 101738 102037 103544 105092 109886 111202 111556 112892 113176 114868 114896 116272 118336 121576 123704 125216 125584 127088 129344 136864 138944 141376 143104 149632 151424 154112 156416 168259 168448 171008 173056 173806 183911 186706 189974 192296 195223 197561 201019 201068 203476 204074 207088 210184 219772 222404 223112 225784 226352 229736 229792 232544 236672 243152 247408 250432 251168 254176 258688 273728 277888 282752 286208 299264 302848 308224 308783 312481 312832 336518 336896 337507 341549 347612 362557 367822 368903 373321 373412 379948 384592 390446 395122 402038 402136 406952 408148 414176 420368 439544 444808 446224 451568 452704 459472 459584 465088 473344 486304 494816 500864 502336 508352 517376 547456 555776 565504 572416 598528 605696 608321 617566 624962 625664 653471 664909 673036 675014 683098 695224 714259 725114 735644 737806 746642 746824 759896 769184 780892 790244 804076 804272 813904 816296 828352 840736 879088 889616 892448 903136 905408 918944 919168 930176 946688 972608 989632 1001728 1004672 1016704 1034752 1094912 1111552 1129739 1131008 1197056 1199227 1211392 1213589 1216642 1234831 1235132 1249924 1306942 1310783 1326481 1329818 1346072 1350028 1366196 1390448 1428518 1450228 1471288 1475612 1493284 1493648 1519792 1538368 1561784 1580488 1608152 1608544 1627808 1632592 1656704 1681472 1758176 1779232 1784896 1806272 1810816 1837888 1838336 1860352 1893376 1945216 1979264 2003456 2009344 2033408 2069504 2161481 2187367 2189824 2223104 2259478 2262016 2362549 2390843 2398454 2427178 2433284 2469662 2470264 2499848 2537899 2582321 2613247 2613884 2621566 2652962 2659636 2692144 2700056 2732392 2780896 2857036 2900456 2942576 2951224 2986568 2987296 3039584 3076736 3123568 3160976 3216304 3217088 3255616 3265184 3313408 3362944 3516352 3558464 3569792 3612544 3621632 3675776 3676672 3720704 3890432 3958528 4006912 4014179 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16056716 16337764 16789178 16990246 17040179 17287634 17291848 17498936 17550364 18075824 18350962 18570734 18852964 18900392 19126744 19182956 19187632 19417424 19466272 19757296 19762112 19998784 20303192 20658568 20905976 20911072 20972528 21223696 21277088 21537152 21600448 21859136 22247168 22856288 23203648 23540608 23609792 23892544 23898368 24316672 24613888 24988544 25287808 25730432 25736704 26044928 26121472 26903552 28099253 28130816 28467712 28558336 28591087 28900352 29025602 29373214 29406208 30713137 31179902 31632692 31725658 32105606 32113432 32675528 32992687 33570173 33578356 33980492 34080358 34575268 34583696 34997872 35100728 36151648 36701924 37141468 37705928 37800784 38253488 38365912 38375264 38834848 38932544 39514592 39524224 39997568 40606384 41317136 41811952 41822144 41945056 42447392 42554176 43074304 43200896 43718272 44494336 45712576 46407296 47081216 47219584 47785088 47796736 48633344 49977088 50575616 51460864 51473408 51566761 52089856 52184327 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56852379136 57533245952 57716397056 58407611392 61003478263 61072001536 62071249877 63014581942 63085364224 63840877568 66678220427 67861857476 68674574332 68876403518 69718260872 70938571288 72880845583 74174588404 75062906828 75081204016 76203680488 76395384464 77310299248 77556408544 78485227808 82065502064 83292394952 84522553024 84770958176 85786179232 85807090304 87309010816 88354627712 89699502256 90795874624 92385116096 92407635712 93514313984 93789145216 95151137536 96597203456 99242002496 101003694848 102213319936 102513716864 103766713856 104027757568 105273598976 105582989824 110399387392 111721535744 111748768768 113419431424 113704758272 113910975049 115066491904 115275178343 122006956526 122144003072 124142499754 126029163884 133356440854 135723714952 137349148664 137752807036 139436521744 141877142576 145761691166 148349176808 150125813656 150162408032 152407360976 152790768928 154620598496 155112817088 156970455616 164131004128 166584789904 169045106048 169541916352 171572358464 171614180608 174618021632 176709255424 179399004512 181591749248 184770232192 184815271424 187028627968 187578290432 190302275072 193194406912 198484004992 202007389696 204426639872 205027433728 207533427712 211165979648 220551036797 220798774784 223443071488 226838862848 227821950098 230550356686 241067412313 244013913052 248284999508 252058327768 266712881708 271447429904 274698297328 275505614072 278873043488 283754285152 291523382332 296698353616 300251627312 300324816064 304814721952 305581537856 309241196992 310225634176 313940911232 328262008256 333169579808 338090212096 339083832704 343144716928 343228361216 349236043264 353418510848 358798009024 363183498496 369540464384 369630542848 374057255936 375156580864 380604550144 396968009984 404014779392 408853279744 409594782623 410054867456 441102073594 441597549568 446886142976 447696622867 455643900196 461100713372 482134824626 488027826104 496569999016 504116655536 533425763416 542894859808 549396594656 551011228144 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2197586378624 2204044912576 2230984347904 2270034281216 2332187058656 2373586828928 2402013018496 2402598528512 2438517775616 2444652302848 2473929575936 2481805073408 2511527289856 2626096066048 2665356638464 2712670661632 2745157735424 2867163478361 2870384072192 2961685351274 3133876360069 3189507301372 3227704993604 3276758260984 3528816588752 3581572982936 3645151201568 3688805706976 3857078597008 3904222608832 3972559992128 4032933244288 4267406107328 4343158878464 4395172757248 4408089825152 4461968695808 4540068562432 4664374117312 4747173657856 4804026036992 4805197057024 4877035551232 4889304605696 4947859151872 5252192132096 5330713276928 5734326956722 5740768144384 5923370702548 6267752720138 6379014602744 6455409987208 6553516521968 7057633177504 7163145965872 7290302403136 7377611413952 7714157194016 7808445217664 7945119984256 8065866488576 8534812214656 8686317756928 8790345514496 8816179650304 8923937391616 9080137124864 9328748234624 9494347315712 9608052073984 9754071102464 10365898729459 10661426553856 11468653913444 11846741405096 12535505440276 12758029205488 12910819974416 13107033043936 14115266355008 14326291931744 14580604806272 14755222827904 15428314388032 15616890435328 15890239968512 16131732977152 17069624429312 17372635513856 17580691028992 17632359300608 18657496469248 18988694631424 19216104147968 19250954783281 20731797458918 22937307826888 23693482810192 25071010880552 25516058410976 25821639948832 26214066087872 28230532710016 28652583863488 29161209612544 29510445655808 30856628776064 31233780870656 31780479937024 32263465954304 34139248858624 35264718601216 37314992938496 38501909566562 41463594917836 45874615653776 47386965620384 50142021761104 51032116821952 51643279897664 52428132175744 56461065420032 57305167726976 58322419225088 59020891311616 61713257552128 62467561741312 63560959874048 68278497717248 74629985876992 77003819133124 82927189835672 91749231307552 94773931240768 100284043522208 102064233643904 103286559795328 104856264351488 112922130840064 114610335453952 116644838450176 118041782623232 123426515104256 134756683482967 154007638266248 165854379671344 183498462615104 189547862481536 200568087044416 204128467287808 206573119590656 209712528702976 225844261680128 229220670907904 246853030208512 269513366965934 308015276532496 331708759342688 366996925230208 379095724963072 401136174088832 408256934575616 413146239181312 419425057405952 458441341815808 539026733931868 616030553064992 663417518685376 733993850460416 758191449926144 802272348177664 816513869151232 826292478362624 1078053467863736 1232061106129984 1326835037370752 1467987700920832 1516382899852288 1604544696355328 2156106935727472 2464122212259968 2653670074741504 2935975401841664 3209089392710656 4312213871454944 4928244424519936 5307340149483008 8624427742909888 9856488849039872 10614680298966016 17248855485819776 19712977698079744 34497710971639552 68995421943279104 137990843886558208
- Sum of all divisors σ(n): 359238045265702056
- Sum of proper divisors (its aliquot sum) s(n): 221247201379143848
- 137990843886558208 is an abundant number, because the sum of its proper divisors (221247201379143848) is greater than itself. Its abundance is 83256357492585640
Bases of 137990843886558208
- Binary: 1111010100011110111110001000000000001110101011100000000002
- Hexadecimal: 0x1EA3DF1001D5C00
- Base-36: 11QPO6JK1QF4
Squares and roots of 137990843886558208
- 137990843886558208 squared (1379908438865582082) is 19041472996524478766964144172171264
- 137990843886558208 cubed (1379908438865582083) is 2627548927633523072668114928865231117269351280934912
-
The
square root of 137990843886558208 is 371471188.5012863389 -
The
cube root of 137990843886558208 is 516753.4960988593
Scales and comparisons
How big is 137990843886558208?- 137,990,843,886,558,208 seconds is equal to 4,387,682,001 years, 46 weeks, 1 day, 23 minutes, 28 seconds.
-
To count from 1 to 137,990,843,886,558,208 would take you about thirteen billion, one hundred sixty-three million, forty-six thousand and five 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 137990843886558208 cubic inches would be around 43062.8 feet tall.
Recreational maths with 137990843886558208
- 137990843886558208 backwards is 802855688348099731
- 137990843886558208 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137990843886558208's digits is 94
- More coming soon!
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MLA style:
"Number 137990843886558208 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 137990843886558208 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137990843886558208/
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Numbermatics. 2024. "Number 137990843886558208 - Facts about the integer". https://numbermatics.com/n/137990843886558208/
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