137141323684474006020032
137,141,323,684,474,006,020,032 is an even composite number composed of six prime numbers multiplied together.
What does the number 137141323684474006020032 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1134 divisors.
137141323684474006020032 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 137141323684474006020032:
26 × 72 × 132 × 1512 × 1823 × 789012
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 151 × 151 × 1823 × 78901 × 78901)See below for interesting mathematical facts about the number 137141323684474006020032 from the Numbermatics database.
Names of 137141323684474006020032
- Cardinal: 137141323684474006020032 can be written as One hundred thirty-seven sextillion, one hundred forty-one quintillion, three hundred twenty-three quadrillion, six hundred eighty-four trillion, four hundred seventy-four billion, six million, twenty thousand and thirty-two.
Scientific notation
- Scientific notation: 1.37141323684474006020032 × 1023
Factors of 137141323684474006020032
Divisors of 137141323684474006020032
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 151 169 182 196 208 224 302 338 364 392 416 448 604 637 676 728 784 832 1057 1183 1208 1274 1352 1456 1568 1823 1963 2114 2366 2416 2548 2704 2912 3136 3646 3926 4228 4732 4832 5096 5408 5824 7292 7399 7852 8281 8456 9464 9664 10192 10816 12761 13741 14584 14798 15704 16562 16912 18928 20384 22801 23699 25519 25522 27482 29168 29596 31408 33124 33824 37856 40768 45602 47398 51038 51044 54964 58336 59192 62816 66248 67648 75712 78901 89327 91204 94796 96187 102076 102088 109928 116672 118384 125632 132496 157802 159607 165893 178633 178654 182408 189592 192374 204152 204176 219856 236768 264992 275273 296413 308087 315604 319214 331786 357266 357308 364816 379184 384748 408304 408352 439712 473536 529984 550546 552307 592826 616174 631208 638428 663572 714532 714616 729632 758368 769496 816608 816704 879424 1025713 1101092 1104614 1117249 1161251 1185652 1232348 1250431 1262416 1276856 1327144 1429064 1429232 1459264 1516736 1538992 1633216 1926911 2051426 2074891 2156609 2202184 2209228 2234498 2322502 2371304 2464696 2500862 2524832 2553712 2654288 2858128 2858464 3077984 3578549 3853369 3853822 3866149 4102852 4149782 4313218 4404368 4418456 4468996 4645004 4742608 4929392 5001724 5049664 5107424 5308576 5716256 5716928 6155968 7157098 7179991 7706738 7707644 7732298 8205704 8299564 8626436 8808736 8836912 8937992 9290008 9485216 9858784 10003448 10214848 10617152 11432512 11914051 13334269 13488377 14314196 14359982 14524237 15096263 15413476 15415288 15464596 16411408 16599128 17252872 17617472 17673824 17875984 18580016 18970432 19717568 20006896 23828102 25049843 26668538 26973583 26976754 28628392 28719964 29048474 30192526 30826952 30830576 30929192 32822816 33198256 34505744 35347648 35751968 37160032 40013792 41566223 46521137 47656204 50099686 50259937 53337076 53947166 53953508 57256784 57439928 58096948 60385052 61653904 61661152 61858384 65645632 66396512 69011488 71503936 74320064 80027584 83132446 83398357 93042274 93339883 95312408 100199372 100519874 106674152 107894332 107907016 114513568 114879856 116193896 120770104 123307808 123322304 123716768 132793024 138022976 143836523 154882663 166264892 166796714 175348901 186084548 186679766 188815081 190624816 200398744 201039748 213348304 215788664 215814032 229027136 229759712 232387792 241540208 246615616 247433536 287673046 290963561 309765326 325647959 332529784 333593428 350697802 372169096 373359532 377630162 381249632 400797488 402079496 426696608 431577328 431628064 459519424 464775584 483080416 540360899 575346092 581927122 583788499 619530652 651295918 653379181 665059568 667186856 701395604 744338192 746719064 755260324 762499264 801594976 804158992 853393216 863154656 863256128 929551168 966160832 1006855661 1080721798 1084178641 1150692184 1163854244 1167576998 1239061304 1302591836 1306758362 1330119136 1334373712 1402791208 1488676384 1493438128 1510520648 1603189952 1608317984 1726309312 1799021701 1869874799 2013474619 2013711322 2036744927 2161443596 2168357282 2279535713 2301384368 2327708488 2335153996 2478122608 2605183672 2613516724 2660238272 2668747424 2805582416 2977352768 2986876256 3021041296 3216635968 3598043402 3739749598 3782526293 4026949238 4027422644 4073489854 4322887192 4336714564 4559071426 4602768736 4655416976 4670307992 4956245216 5210367344 5227033448 5337494848 5611164832 5973752512 6042082592 6225367801 7024691687 7047989627 7196086804 7479499196 7565052586 7589250487 8053898476 8054845288 8146979708 8645774384 8673429128 9118142852 9205537472 9310833952 9340615984 9912490432 10420734688 10454066896 11222329664 12084165184 12450735602 12593151907 13089123593 14049383374 14094322333 14095979254 14392173608 14958998392 15130105172 15178500974 16107796952 16109690576 16293959416 17291548768 17346858256 18236285704 18621667904 18681231968 20841469376 20908133792 21719314973 23387282113 24308372387 24901471204 25186303814 26178247186 26477684051 28098766748 28188644666 28191958508 28784347216 29917996784 30260210344 30357001948 32215593904 32219381152 32587918832 34583097536 34693716512 36472571408 37362463936 41816267584 43438629946 43577574607 46774564226 48616744774 49172841809 49802942408 50372607628 52356494372 52955368102 56197533496 56377289332 56383917016 57568694432 59835993568 60520420688 60714003896 64431187808 64438762304 65175837664 69387433024 72945142816 80929781413 86877259892 87155149214 88152063349 91623865151 93549128452 97233489548 98345683618 98660256331 99605884816 100745215256 104712988744 105910736204 112395066992 112754578664 112767834032 115137388864 119671987136 121040841376 121428007792 128862375616 130351675328 145890285632 152035204811 161859562826 163710974791 170158606709 173754519784 174310298428 176304126698 183247730302 187098256904 194466979096 196691367236 197320512662 199211769632 201490430512 209425977488 211821472408 224790133984 225509157328 225535668064 242081682752 242856015584 282351094649 304034667469 304070409622 305043022249 323719125652 327421949582 340317213418 344209892663 347509039568 348620596856 352608253396 366495460604 374196513808 388933958192 393382734472 394641025324 398423539264 402980861024 418851954976 423642944816 449580267968 451018314656 451071336128 485712031168 564702189298 566508469891 608069334938 608140819244 610086044498 647438251304 654843899164 680634426836 688419785326 695018079136 697241193712 705216506792 732990921208 748393027616 777867916384 786765468944 789282050648 805961722048 837703909952 847285889632 902036629312 940030537951 1052087158369 1064246433677 1129404378596 1133016939782 1145976823537 1191110246963 1216138669876 1216281638488 1220172088996 1294876502608 1309687798328 1361268853672 1376839570652 1390036158272 1394482387424 1410433013584 1465981842416 1496786055232 1555735832768 1573530937888 1578564101296 1694571779264 1880061075902 1976457662543 2104174316738 2128242672283 2128492867354 2258808757192 2266033879564 2291953647074 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147534991515899 158865160913719 158883837017122 160701211485227 170540061167996 171085557907082 179857647291413 181581528019568 183658527411688 184245985438396 195526351893808 205551596904472 206209083040324 209895459899072 210566840501024 221363258204816 234916110747968 235667523474656 238363179295696 253795794511168 283889222461202 295069983031798 298445107043993 317730321827438 317767674034244 321402422970454 341080122335992 342171115814164 359715294582826 363163056039136 367317054823376 368491970876792 391052703787616 411103193808944 412418166080648 421133681002048 442726516409632 471335046949312 476726358591392 554255198795987 556093429559927 567778444922404 590139966063596 596890214087986 598799452674787 635460643654876 635535348068488 642804845940908 682160244671984 684342231628328 719430589165652 726326112078272 734634109646752 736983941753584 782105407575232 822206387617888 824836332161296 885453032819264 953452717182784 993612278614207 1032744940611293 1108510397591974 1112056126396033 1112186859119854 1135556889844808 1180279932127192 1193780428175972 1197598905349574 1270921287309752 1271070696136976 1285609691881816 1364320489343968 1368684463256656 1438861178331304 1469268219293504 1473967883507168 1644412775235776 1649672664322592 1713675670684673 1845279945997813 1917954889706687 1987224557228414 2065489881222586 2089115749307951 2217020795183948 2224112252792066 2224373718239708 2271113779689616 2360559864254384 2387560856351944 2395197810699148 2541842574619504 2542141392273952 2571219383763632 2728640978687936 2737368926513312 2877722356662608 2947935767014336 3299345328645184 3427351341369346 3690559891995626 3835909779413374 3879786391571909 3974449114456828 4130979762445172 4178231498615902 4434041590367896 4448224505584132 4448747436479416 4542227559379232 4721119728508768 4775121712703888 4790395621398296 5083685149239008 5084282784547904 5142438767527264 5474737853026624 5755444713325216 6854702682738692 6955285950299449 7229214584279051 7381119783991252 7671819558826748 7759572783143818 7784392884772231 7948898228913656 8261959524890344 8356462997231804 8868083180735792 8896449011168264 8897494872958832 9084455118758464 9442239457017536 9550243425407776 9580791242796592 10167370298478016 10284877535054528 11510889426650432 11995729694792711 12916959621984691 13425684227946809 13709405365477384 13910571900598898 14458429168558102 14762239567982504 15343639117653496 15519145566287636 15568785769544462 15897796457827312 16523919049780688 16712925994463608 17736166361471584 17792898022336528 17794989745917664 19100486850815552 19161582485593184 22277783718900749 23988639297971569 23991459389585422 25833919243969382 26851368455893618 27158504741003363 27418810730954768 27821143801197796 28916858337116204 29524479135965008 30687278235306992 31038291132575272 31137571539088924 31795592915654624 33047838099561376 33425851988927216 35472332722943168 35585796044673056 35589979491835328 38323164971186368 44555567437801498 47977278595943138 47982918779170844 51667838487938764 53702736911787236 54317009482006726 54837621461909536 55642287602395592 57833716674232408 59048958271930016 61374556470613984 62076582265150544 62275143078177848 63591185831309248 66095676199122752 66851703977854432 71171592089346112 83970107863548977 89111134875602996 90418717353892837 93979789595627663 95954557191886276 95965837558341688 103335676975877528 107405473823574472 108634018964013452 109675242923819072 111284575204791184 115667433348464816 118097916543860032 122749112941227968 124153164530301088 124550286156355696 133703407955708864 155944486032305243 167920475085800983 167940215727097954 178222269751205992 180837434707785674 187959579191255326 191909114383772552 191931675116683376 206671353951755056 214810947647148944 217268037928026904 222569150409582368 231334866696929632 248306329060602176 249100572312711392 258765026273385623 289611188345709737 311888972064610486 335840950171601966 335880431454195908 356444539502411984 361674869415571348 375919158382510652 383818228767545104 383863350233366752 413342707903510112 429621895294297888 434536075856053808 445138300819164736 462669733393859264 498201144625422784 517530052546771246 579222376691419474 623777944129220972 671681900343203932 671760862908391816 712889079004823968 723349738831142696 751838316765021304 767636457535090208 767726700466733504 826685415807020224 859243790588595776 869072151712107616 1035060105093542492 1091611402226136701 1158444753382838948 1175443325600606881 1247555888258441944 1343363800686407864 1343521725816783632 1425778158009647936 1446699477662285392 1503676633530042608 1535272915070180416 1738144303424215232 1811355183913699361 2027278318419968159 2070120210187084984 2183222804452273402 2316889506765677896 2350886651201213762 2495111776516883888 2686727601372815728 2687043451633567264 2893398955324570784 3007353267060085216 3363945341554013099 3622710367827398722 4054556636839936318 4140240420374169968 4366445608904546804 4633779013531355792 4701773302402427524 4990223553033767776 5373455202745631456 5374086903267134528 5786797910649141568 6014706534120170432 6727890683108026198 7245420735654797444 8109113273679872636 8280480840748339936 8732891217809093608 9267558027062711584 9403546604804855048 9980447106067535552 10746910405491262912 12679486287395895527 13455781366216052396 14190948228939777113 14490841471309594888 16218226547359745272 16560961681496679872 17465782435618187216 18535116054125423168 18807093209609710096 23547617390878091693 25358972574791791054 26911562732432104792 28381896457879554226 28981682942619189776 32436453094719490544 34931564871236374432 37614186419219420192 43731289440202170287 47095234781756183386 50717945149583582108 53823125464864209584 56763792915759108452 57963365885238379552 64872906189438981088 69863129742472748864 75228372838438840384 87462578880404340574 94190469563512366772 101435890299167164216 107646250929728419168 113527585831518216904 115926731770476759104 129745812378877962176 164833321736146641851 174925157760808681148 188380939127024733544 202871780598334328432 215292501859456838336 227055171663036433808 306119026081415192009 329666643472293283702 349850315521617362296 376761878254049467088 405743561196668656864 454110343326072867616 612238052162830384018 659333286944586567404 699700631043234724592 753523756508098934176 811487122393337313728 908220686652145735232 1224476104325660768036 1318666573889173134808 1399401262086469449184 1507047513016197868352 2142833182569906344063 2448952208651321536072 2637333147778346269616 2798802524172938898368 4285666365139812688126 4897904417302643072144 5274666295556692539232 8571332730279625376252 9795808834605286144288 10549332591113385078464 17142665460559250752504 19591617669210572288576 34285330921118501505008 68570661842237003010016 137141323684474006020032
- Sum of all divisors σ(n): 345274477278391924980192
- Sum of proper divisors (its aliquot sum) s(n): 208133153593917918960160
- 137141323684474006020032 is an abundant number, because the sum of its proper divisors (208133153593917918960160) is greater than itself. Its abundance is 70991829909443912940128
Bases of 137141323684474006020032
- Binary: 111010000101001110010001100001001010100100111110000100010010000011111110000002
- Hexadecimal: 0x1D0A72309527C2241FC0
- Base-36: MBYNHF4S4K89VI8
Squares and roots of 137141323684474006020032
- 137141323684474006020032 squared (1371413236844740060200322) is 18807742661929670957898970881782802576785281024
- 137141323684474006020032 cubed (1371413236844740060200323) is 2579318724173987772125804438884911255388002012901371757551224893472768
-
The
square root of 137141323684474006020032 is 370325969497.7844866885 -
The
cube root of 137141323684474006020032 is 51569087.3681164555
Scales and comparisons
How big is 137141323684474006020032?- 137,141,323,684,474,006,020,032 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,141,323,684,474,006,020,032 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 137141323684474006020032 cubic inches would be around 4297423.9 feet tall.
Recreational maths with 137141323684474006020032
- 137141323684474006020032 backwards is 230020600474486323141731
- The number of decimal digits it has is: 24
- The sum of 137141323684474006020032's digits is 71
- More coming soon!
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"Number 137141323684474006020032 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 137141323684474006020032 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/137141323684474006020032/
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Numbermatics. 2024. "Number 137141323684474006020032 - Facts about the integer". https://numbermatics.com/n/137141323684474006020032/
The information we have on file for 137141323684474006020032 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 137141323684474006020032, math, Factors of 137141323684474006020032, curriculum, school, college, exams, university, Prime factorization of 137141323684474006020032, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven sextillion, one hundred forty-one quintillion, three hundred twenty-three quadrillion, six hundred eighty-four trillion, four hundred seventy-four billion, six million, twenty thousand and thirty-two.