137893213689001878162821120
137,893,213,689,001,878,162,821,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 137893213689001878162821120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 416 divisors.
137893213689001878162821120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 137893213689001878162821120:
212 × 5 × 313 × 113 × 2000089435651943
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 31 × 31 × 31 × 113 × 2000089435651943)See below for interesting mathematical facts about the number 137893213689001878162821120 from the Numbermatics database.
Names of 137893213689001878162821120
- Cardinal: 137893213689001878162821120 can be written as One hundred thirty-seven septillion, eight hundred ninety-three sextillion, two hundred thirteen quintillion, six hundred eighty-nine quadrillion, one trillion, eight hundred seventy-eight billion, one hundred sixty-two million, eight hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3789321368900187816282112 × 1026
Factors of 137893213689001878162821120
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 2000089435652094
Divisors of 137893213689001878162821120
- Number of divisors d(n): 416
-
Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 40 62 64 80 113 124 128 155 160 226 248 256 310 320 452 496 512 565 620 640 904 961 992 1024 1130 1240 1280 1808 1922 1984 2048 2260 2480 2560 3503 3616 3844 3968 4096 4520 4805 4960 5120 7006 7232 7688 7936 9040 9610 9920 10240 14012 14464 15376 15872 17515 18080 19220 19840 20480 28024 28928 29791 30752 31744 35030 36160 38440 39680 56048 57856 59582 61504 63488 70060 72320 76880 79360 108593 112096 115712 119164 123008 126976 140120 144640 148955 153760 158720 217186 224192 231424 238328 246016 280240 289280 297910 307520 317440 434372 448384 462848 476656 492032 542965 560480 578560 595820 615040 634880 868744 896768 953312 984064 1085930 1120960 1157120 1191640 1230080 1737488 1793536 1906624 1968128 2171860 2241920 2314240 2383280 2460160 3366383 3474976 3587072 3813248 3936256 4343720 4483840 4766560 4920320 6732766 6949952 7174144 7626496 8687440 8967680 9533120 9840640 13465532 13899904 14348288 15252992 16831915 17374880 17935360 19066240 19681280 26931064 27799808 30505984 33663830 34749760 35870720 38132480 53862128 55599616 61011968 67327660 69499520 71741440 76264960 107724256 111199232 122023936 134655320 138999040 152529920 215448512 222398464 269310640 277998080 305059840 430897024 444796928 538621280 555996160 610119680 861794048 1077242560 1111992320 1723588096 2154485120 2223984640 3447176192 4308970240 6894352384 8617940480 13788704768 17235880960 34471761920 68943523840 2000089435651943 4000178871303886 8000357742607772 10000447178259715 16000715485215544 20000894356519430 32001430970431088 40001788713038860 62002772505210233 64002861940862176 80003577426077720 124005545010420466 128005723881724352 160007154852155440 226010106228669559 248011090020840932 256011447763448704 310013862526051165 320014309704310880 452020212457339118 496022180041681864 512022895526897408 620027725052102330 640028619408621760 904040424914678236 992044360083363728 1024045791053794816 1130050531143347795 1240055450104204660 1280057238817243520 1808080849829356472 1922085947661517223 1984088720166727456 2048091582107589632 2260101062286695590 2480110900208409320 2560114477634487040 3616161699658712944 3844171895323034446 3968177440333454912 4096183164215179264 4520202124573391180 4960221800416818640 5120228955268974080 7006313293088756329 7232323399317425888 7688343790646068892 7936354880666909824 8192366328430358528 9040404249146782360 9610429738307586115 9920443600833637280 10240457910537948160 14012626586177512658 14464646798634851776 15376687581292137784 15872709761333819648 18080808498293564720 19220859476615172230 19840887201667274560 20480915821075896320 28025253172355025316 28929293597269703552 30753375162584275568 31745419522667639296 35031566465443781645 36161616996587129440 38441718953230344460 39681774403334549120 40961831642151792640 56050506344710050632 57858587194539407104 59584664377507033913 61506750325168551136 63490839045335278592 70063132930887563290 72323233993174258880 76883437906460688920 79363548806669098240 112101012689420101264 115717174389078814208 119169328755014067826 123013500650337102272 126981678090670557184 140126265861775126580 144646467986348517760 153766875812921377840 158727097613338196480 217195712085751446199 224202025378840202528 231434348778157628416 238338657510028135652 246027001300674204544 253963356181341114368 280252531723550253160 289292935972697035520 297923321887535169565 307533751625842755680 317454195226676392960 434391424171502892398 448404050757680405056 462868697556315256832 476677315020056271304 492054002601348409088 560505063447100506320 578585871945394071040 595846643775070339130 615067503251685511360 634908390453352785920 868782848343005784796 896808101515360810112 925737395112630513664 953354630040112542608 984108005202696818176 1085978560428757230995 1121010126894201012640 1157171743890788142080 1191693287550140678260 1230135006503371022720 1269816780906705571840 1737565696686011569592 1793616203030721620224 1906709260080225085216 1968216010405393636352 2171957120857514461990 2242020253788402025280 2314343487781576284160 2383386575100281356520 2460270013006742045440 3475131393372023139184 3587232406061443240448 3813418520160450170432 3936432020810787272704 4343914241715028923980 4484040507576804050560 4628686975563152568320 4766773150200562713040 4920540026013484090880 6733067074658294832169 6950262786744046278368 7174464812122886480896 7626837040320900340864 7872864041621574545408 8687828483430057847960 8968081015153608101120 9533546300401125426080 9841080052026968181760 13466134149316589664338 13900525573488092556736 14348929624245772961792 15253674080641800681728 17375656966860115695920 17936162030307216202240 19067092600802250852160 19682160104053936363520 26932268298633179328676 27801051146976185113472 28697859248491545923584 30507348161283601363456 33665335373291474160845 34751313933720231391840 35872324060614432404480 38134185201604501704320 39364320208107872727040 53864536597266358657352 55602102293952370226944 61014696322567202726912 67330670746582948321690 69502627867440462783680 71744648121228864808960 76268370403209003408640 107729073194532717314704 111204204587904740453888 122029392645134405453824 134661341493165896643380 139005255734880925567360 143489296242457729617920 152536740806418006817280 215458146389065434629408 222408409175809480907776 244058785290268810907648 269322682986331793286760 278010511469761851134720 305073481612836013634560 430916292778130869258816 444816818351618961815552 538645365972663586573520 556021022939523702269440 610146963225672027269120 861832585556261738517632 889633636703237923631104 1077290731945327173147040 1112042045879047404538880 1220293926451344054538240 1723665171112523477035264 2154581463890654346294080 2224084091758094809077760 3447330342225046954070528 4309162927781308692588160 4448168183516189618155520 6894660684450093908141056 8618325855562617385176320 13789321368900187816282112 17236651711125234770352640 27578642737800375632564224 34473303422250469540705280 68946606844500939081410560 137893213689001878162821120
- Sum of all divisors σ(n): 344959010919239604307789824
- Sum of proper divisors (its aliquot sum) s(n): 207065797230237726144968704
- 137893213689001878162821120 is an abundant number, because the sum of its proper divisors (207065797230237726144968704) is greater than itself. Its abundance is 69172583541235847982147584
Bases of 137893213689001878162821120
- Binary: 1110010000100000000011000010111101101101010110101101101110010001100110011010000000000002
- Hexadecimal: 0x72100617B6AD6DC8CCD000
- Base-36: HBQQD3NP86N1AUTQ8
Squares and roots of 137893213689001878162821120
- 137893213689001878162821120 squared (1378932136890018781628211202) is 19014538381480734960535470874012118942637437118054400
- 137893213689001878162821120 cubed (1378932136890018781628211203) is 2621975804235250898548939523470325124444631411964582072047032571654389628928000
-
The
square root of 137893213689001878162821120 is 11742794117628.1328075091 -
The
cube root of 137893213689001878162821120 is 516631597.5551070875
Scales and comparisons
How big is 137893213689001878162821120?- 137,893,213,689,001,878,162,821,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,893,213,689,001,878,162,821,120 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 137893213689001878162821120 cubic inches would be around 43052633.1 feet tall.
Recreational maths with 137893213689001878162821120
- 137893213689001878162821120 backwards is 021128261878100986312398731
- The number of decimal digits it has is: 27
- The sum of 137893213689001878162821120's digits is 107
- More coming soon!
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The information we have on file for 137893213689001878162821120 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 137893213689001878162821120, math, Factors of 137893213689001878162821120, curriculum, school, college, exams, university, Prime factorization of 137893213689001878162821120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven septillion, eight hundred ninety-three sextillion, two hundred thirteen quintillion, six hundred eighty-nine quadrillion, one trillion, eight hundred seventy-eight billion, one hundred sixty-two million, eight hundred twenty-one thousand, one hundred twenty.