2138137039871109120
2,138,137,039,871,109,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 2138137039871109120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
2138137039871109120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 2138137039871109120:
211 × 3 × 5 × 79 × 127 × 139 × 1613 × 30941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 79 × 127 × 139 × 1613 × 30941)See below for interesting mathematical facts about the number 2138137039871109120 from the Numbermatics database.
Names of 2138137039871109120
- Cardinal: 2138137039871109120 can be written as Two quintillion, one hundred thirty-eight quadrillion, one hundred thirty-seven trillion, thirty-nine billion, eight hundred seventy-one million, one hundred nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.13813703987110912 × 1018
Factors of 2138137039871109120
Divisors of 2138137039871109120
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 127 128 139 158 160 192 237 240 254 256 278 316 320 381 384 395 417 474 480 508 512 556 632 635 640 695 762 768 790 834 948 960 1016 1024 1112 1185 1264 1270 1280 1390 1524 1536 1580 1613 1668 1896 1905 1920 2032 2048 2085 2224 2370 2528 2540 2560 2780 3048 3072 3160 3226 3336 3792 3810 3840 4064 4170 4448 4740 4839 5056 5080 5120 5560 6096 6144 6320 6452 6672 7584 7620 7680 8065 8128 8340 8896 9480 9678 10033 10112 10160 10240 10981 11120 12192 12640 12904 13344 15168 15240 15360 16130 16256 16680 17653 17792 18960 19356 20066 20224 20320 21962 22240 24195 24384 25280 25808 26688 30099 30336 30480 30720 30941 32260 32512 32943 33360 35306 35584 37920 38712 40132 40448 40640 43924 44480 48390 48768 50165 50560 51616 52959 53376 54905 60198 60672 60960 61882 64520 65024 65886 66720 70612 71168 75840 77424 80264 80896 81280 87848 88265 88960 92823 96780 97536 100330 101120 103232 105918 106752 109810 120396 121344 121920 123764 127427 129040 130048 131772 133440 141224 142336 150495 151680 154705 154848 160528 161792 162560 164715 175696 176530 177920 185646 193560 195072 200660 202240 204851 206464 211836 213504 219620 224207 240792 242688 243840 247528 254854 258080 260096 263544 264795 266880 282448 284672 300990 303360 309410 309696 321056 325120 329430 351392 353060 355840 371292 382281 387120 390144 401320 404480 409702 412928 423672 427008 439240 448414 464115 481584 485376 487680 495056 509708 516160 527088 529590 533760 564896 601980 606720 614553 618820 619392 637135 642112 650240 658860 672621 702784 706120 711680 742584 764562 774240 780288 802640 808960 819404 825856 847344 854016 878480 896828 928230 963168 975360 990112 1019416 1024255 1032320 1054176 1059180 1067520 1121035 1129792 1203960 1213440 1229106 1237640 1238784 1274270 1284224 1300480 1317720 1345242 1394587 1405568 1412240 1423360 1485168 1529124 1548480 1605280 1638808 1651712 1694688 1756960 1793656 1856460 1911405 1926336 1950720 1980224 2038832 2048510 2064640 2108352 2118360 2135040 2242070 2259584 2407920 2426880 2444339 2458212 2475280 2477568 2548540 2568448 2635440 2690484 2789174 2811136 2824480 2970336 3058248 3072765 3096960 3210560 3277616 3303424 3363105 3389376 3513920 3587312 3712920 3822810 3852672 3901440 3929507 3960448 4077664 4097020 4129280 4183761 4216704 4236720 4270080 4300799 4484140 4519168 4815840 4888678 4916424 4950560 4955136 5097080 5136896 5270880 5380968 5578348 5622272 5648960 5940672 6116496 6145530 6193920 6421120 6555232 6726210 6778752 6972935 7027840 7174624 7333017 7425840 7645620 7705344 7859014 7920896 8155328 8194040 8258560 8367522 8433408 8473440 8601598 8968280 9038336 9631680 9777356 9832848 9901120 9910272 10194160 10273792 10541760 10761936 11156696 11244544 11297920 11788521 11881344 12221695 12232992 12291060 12387840 12842240 12902397 13110464 13452420 13557504 13945870 14055680 14349248 14666034 14851680 15291240 15410688 15718028 15841792 16183229 16310656 16388080 16517120 16735044 16866816 16946880 17203196 17712353 17936560 18076672 19263360 19554712 19647535 19665696 19802240 20388320 20547584 20918805 21083520 21503995 21523872 22313392 22489088 22595840 23577042 23762688 24443390 24465984 24582120 24775680 25684480 25804794 26220928 26904840 27115008 27891740 28111360 28474289 28698496 29332068 29703360 30582480 30821376 31436056 31683584 32366458 32621312 32776160 33470088 33733632 33893760 34406392 35424706 35873120 36153344 36665085 38526720 39109424 39295070 39331392 39604480 40776640 41837610 42167040 43007990 43047744 44626784 45191680 47154084 47525376 48549687 48886780 48931968 49164240 49551360 49907833 51368960 51609588 52441856 53137059 53809680 54230016 55783480 56222720 56948578 57396992 58664136 58942605 59406720 61164960 61642752 62872112 63367168 64511985 64732916 65242624 65552320 66940176 67467264 67787520 68812784 70849412 71746240 73330170 77053440 78218848 78590140 78662784 79208960 80916145 81553280 83675220 84334080 85422867 86015980 86095488 88561765 89253568 90383360 94308168 95050752 97099374 97773560 97863936 98328480 99815666 102737920 103219176 104883712 106274118 107619360 108460032 111566960 112445440 113897156 114793984 117328272 117885210 118813440 122329920 125744224 129023970 129465832 130485248 131104640 133880352 135575040 137625568 141698824 142371445 143492480 146660340 149723499 154106880 156437696 157180280 157325568 158417920 161832290 163106560 167350440 168668160 170845734 172031960 172190976 177123530 178507136 180766720 188616336 190101504 194198748 195547120 195727872 196656960 199631332 206438352 209767424 212548236 215238720 223133920 227794312 229587968 234656544 235770420 237626880 242748435 244659840 249539165 251488448 258047940 258931664 260970496 262209280 265685295 267760704 271150080 275251136 283397648 284742890 286984960 293320680 299446998 308213760 310431053 312875392 314360560 314651136 316835840 323664580 326213120 334700880 337336320 339763121 341691468 344063920 344381952 354247060 357014272 377232672 388397496 391094240 391455744 393313920 399262664 412876704 419534848 425096472 427114335 430477440 446267840 455588624 459175936 469313088 471540840 475253760 485496870 489319680 499078330 502976896 516095880 517863328 524418560 531370590 535521408 542300160 546201473 550502272 566795296 569485780 573969920 586641360 598893996 620862106 625750784 628721120 629302272 647329160 652426240 669401760 679526242 683382936 688127840 688763904 708494120 714028544 748617495 754465344 776794992 782188480 782911488 786627840 798525328 825753408 850192944 854228670 860954880 892535680 911177248 931293159 938626176 943081680 950507520 970993740 978639360 998156660 1005953792 1019289363 1032191760 1035726656 1048837120 1062741180 1071042816 1092402946 1101004544 1133590592 1138971560 1147939840 1173282720 1197787992 1241724212 1251501568 1257442240 1258604544 1294658320 1304852480 1338803520 1359052484 1366765872 1376255680 1377527808 1416988240 1428057088 1497234990 1508930688 1552155265 1553589984 1564376960 1573255680 1597050656 1638604419 1651506816 1698815605 1700385888 1708457340 1721909760 1785071360 1822354496 1862586318 1877252352 1886163360 1941987480 1957278720 1996313320 2011907584 2038578726 2064383520 2071453312 2097674240 2125482360 2142085632 2184805892 2202009088 2249468831 2267181184 2277943120 2295879680 2346565440 2395575984 2483448424 2503003136 2514884480 2589316640 2677607040 2718104968 2731007365 2733531744 2752511360 2833976480 2856114176 2994469980 3017861376 3104310530 3107179968 3128753920 3146511360 3194101312 3277208838 3303013632 3397631210 3400771776 3416914680 3443819520 3570142720 3644708992 3725172636 3754504704 3772326720 3883974960 3914557440 3942718807 3992626640 4023815168 4077157452 4128767040 4142906624 4250964720 4284171264 4369611784 4404018176 4498937662 4534362368 4555886240 4656465795 4693130880 4791151968 4966896848 5006006272 5029768960 5096446815 5178633280 5355214080 5436209936 5462014730 5467063488 5505022720 5667952960 5988939960 6035722752 6208621060 6214359936 6257507840 6293022720 6338294791 6388202624 6554417676 6606027264 6748406493 6795262420 6801543552 6833829360 6887639040 6937188787 7140285440 7289417984 7450345272 7509009408 7544653440 7767949920 7885437614 7985253280 8047630336 8154314904 8193022095 8257534080 8285813248 8501929440 8568342528 8739223568 8808036352 8997875324 9068724736 9111772480 9312931590 9386261760 9582303936 9933793696 10059537920 10192893630 10357266560 10710428160 10872419872 10924029460 10934126976 11010045440 11247344155 11335905920 11828156421 11977879920 12071445504 12417242120 12428719872 12515015680 12676589582 12776405248 13108835352 13212054528 13496812986 13590524840 13603087104 13667658720 13874377574 14280570880 14578835968 14900690544 15018018816 15089306880 15535899840 15770875228 15970506560 16308629808 16386044190 16515068160 16571626496 17003858880 17478447136 17995750648 18137449472 18223544960 18625863180 18772523520 19014884373 19164607872 19713594035 19867587392 20119075840 20385787260 20714533120 20811566361 21420856320 21744839744 21848058920 21868253952 22020090880 22494688310 22671811840 23656312842 23955759840 24142891008 24834484240 24857439744 25030031360 25353179164 25552810496 26217670704 26424109056 26993625972 27181049680 27206174208 27335317440 27748755148 29157671936 29801381088 30178613760 31071799680 31541750456 31691473955 31941013120 32617259616 32772088380 33030136320 33143252992 33742032465 34007717760 34685943935 34956894272 35991501296 36274898944 36447089920 37251726360 37545047040 38029768746 38329215744 39427188070 39735174784 40238151680 40771574520 41429066240 41623132722 42841712640 43149916367 43489679488 43696117840 43736507904 44040181760 44989376620 45343623680 47312625684 47911519680 49668968480 49714879488 50706358328 51105620992 52435341408 53987251944 54362099360 54412348416 54670634880 55497510296 58315343872 59140782105 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811301733248 832462654440 838965462528 862998327340 863796031104 869793589760 874730158080 881022975949 887960164736 946252513680 953644194816 1001450576978 1009336014592 1014127166560 1035597992808 1043752307712 1048706828160 1079745038880 1096075828346 1109950205920 1118620616704 1151728041472 1192055243520 1216952599872 1261670018240 1294497491010 1304690384640 1331940247104 1380797323744 1398275770880 1439660051840 1502175865467 1514004021888 1521190749840 1533168629760 1589406991360 1622603466496 1644113742519 1664925308880 1677930925056 1725996654680 1727592062208 1739587179520 1762045951898 1775920329472 1892505027360 1907288389632 2002901153956 2018672029184 2028254333120 2071195985616 2087504615424 2097413656320 2159490077760 2192151656692 2219900411840 2303456082944 2384110487040 2433905199744 2503626442445 2523340036480 2588994982020 2609380769280 2643068927847 2663880494208 2740189570865 2761594647488 2796551541760 2879320103680 3004351730934 3028008043776 3042381499680 3178813982720 3245206932992 3288227485038 3329850617760 3355861850112 3451993309360 3455184124416 3479174359040 3524091903796 3551840658944 3785010054720 4005802307912 4037344058368 4056508666240 4142391971232 4194827312640 4318980155520 4384303313384 4405114879745 4439800823680 4606912165888 4768220974080 4867810399488 5007252884890 5046680072960 5177989964040 5218761538560 5286137855694 5327760988416 5480379141730 5523189294976 5593103083520 5758640207360 6008703461868 6056016087552 6084762999360 6490413865984 6576454970076 6659701235520 6903986618720 6910368248832 7048183807592 7103681317888 7510879327335 7570020109440 8011604615824 8074688116736 8113017332480 8220568712595 8284783942464 8389654625280 8637960311040 8768606626768 8810229759490 8879601647360 9536441948160 9735620798976 10014505769780 10093360145920 10355979928080 10437523077120 10572275711388 10655521976832 10960758283460 11046378589952 11517280414720 12017406923736 12112032175104 12169525998720 12980827731968 13152909940152 13215344639235 13319402471040 13807973237440 13820736497664 14096367615184 14207362635776 15021758654670 15140040218880 16023209231648 16226034664960 16441137425190 16569567884928 16779309250560 17275920622080 17537213253536 17620459518980 17759203294720 19471241597952 20029011539560 20186720291840 20711959856160 21144551422776 21311043953664 21921516566920 22092757179904 23034560829440 24034813847472 24224064350208 24339051997440 26305819880304 26430689278470 26638804942080 27615946474880 28192735230368 30043517309340 30280080437760 32046418463296 32452069329920 32882274850380 33139135769856 34551841244160 35074426507072 35240919037960 35518406589440 38942483195904 40058023079120 40373440583680 41423919712320 42289102845552 42622087907328 43843033133840 44185514359808 48069627694944 48678103994880 52611639760608 52861378556940 53277609884160 55231892949760 56385470460736 60087034618680 60560160875520 64092836926592 64904138659840 65764549700760 66278271539712 69103682488320 69600815099971 70148853014144 70481838075920 71036813178880 80116046158240 82847839424640 84578205691104 87686066267680 88371028719616 96139255389888 97356207989760 105223279521216 105722757113880 106555219768320 110463785899520 112770940921472 120174069237360 121120321751040 128185673853184 131529099401520 132556543079424 139201630199942 140297706028288 140963676151840 160232092316480 165695678849280 169156411382208 175372132535360 192278510779776 194712415979520 208802445299913 210446559042432 211445514227760 213110439536640 220927571799040 225541881842944 240348138474720 256371347706368 263058198803040 265113086158848 278403260399884 280595412056576 281927352303680 320464184632960 331391357698560 338312822764416 348004075499855 350744265070720 384557021559552 417604890599826 420893118084864 422891028455520 441855143598080 451083763685888 480696276949440 512742695412736 526116397606080 556806520799768 561190824113152 563854704607360 640928369265920 662782715397120 676625645528832 696008150999710 701488530141440 769114043119104 835209781199652 841786236169728 845782056911040 902167527371776 961392553898880 1025485390825472 1044012226499565 1052232795212160 1113613041599536 1122381648226304 1127709409214720 1281856738531840 1325565430794240 1353251291057664 1392016301999420 1402977060282880 1538228086238208 1670419562399304 1683572472339456 1691564113822080 1804335054743552 1922785107797760 2088024452999130 2104465590424320 2227226083199072 2255418818429440 2563713477063680 2706502582115328 2784032603998840 2805954120565760 3076456172476416 3340839124798608 3367144944678912 3383128227644160 3845570215595520 4176048905998260 4208931180848640 4454452166398144 4510837636858880 5127426954127360 5413005164230656 5568065207997680 5611908241131520 6681678249597216 6766256455288320 7691140431191040 8352097811996520 8417862361697280 8908904332796288 9021675273717760 11136130415995360 13363356499194432 13532512910576640 15382280862382080 16704195623993040 16835724723394560 17817808665592576 22272260831990720 26726712998388864 27065025821153280 33408391247986080 35635617331185152 44544521663981440 53453425996777728 66816782495972160 71271234662370304 89089043327962880 106906851993555456 133633564991944320 142542469324740608 178178086655925760 213813703987110912 267267129983888640 356356173311851520 427627407974221824 534534259967777280 712712346623703040 1069068519935554560 2138137039871109120
- Sum of all divisors σ(n): 7036311414472704000
- Sum of proper divisors (its aliquot sum) s(n): 4898174374601594880
- 2138137039871109120 is an abundant number, because the sum of its proper divisors (4898174374601594880) is greater than itself. Its abundance is 2760037334730485760
Bases of 2138137039871109120
- Binary: 11101101011000011000001001111001101101001111101101000000000002
- Hexadecimal: 0x1DAC304F369F6800
- Base-36: G8SYBO1OU39C
Squares and roots of 2138137039871109120
- 2138137039871109120 squared (21381370398711091202) is 4571630001268788870724222458947174400
- 2138137039871109120 cubed (21381370398711091203) is 9774771438298803066537296350592981717930310818070528000
-
The
square root of 2138137039871109120 is 1462236998.5303713137 -
The
cube root of 2138137039871109120 is 1288284.6900753065
Scales and comparisons
How big is 2138137039871109120?- 2,138,137,039,871,109,120 seconds is equal to 67,986,144,175 years, 41 weeks, 2 days, 16 hours, 32 minutes.
-
To count from 1 to 2,138,137,039,871,109,120 would take you about two hundred thirty-seven billion, nine hundred fifty-one million, five hundred four thousand, six hundred fifteen 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 2138137039871109120 cubic inches would be around 107357.1 feet tall.
Recreational maths with 2138137039871109120
- 2138137039871109120 backwards is 0219011789307318312
- The number of decimal digits it has is: 19
- The sum of 2138137039871109120's digits is 66
- More coming soon!
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MLA style:
"Number 2138137039871109120 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 2138137039871109120 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/2138137039871109120/
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Numbermatics. 2024. "Number 2138137039871109120 - Facts about the integer". https://numbermatics.com/n/2138137039871109120/
The information we have on file for 2138137039871109120 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 2138137039871109120, math, Factors of 2138137039871109120, curriculum, school, college, exams, university, Prime factorization of 2138137039871109120, STEM, science, technology, engineering, physics, economics, calculator, two quintillion, one hundred thirty-eight quadrillion, one hundred thirty-seven trillion, thirty-nine billion, eight hundred seventy-one million, one hundred nine thousand, one hundred twenty.