135006826748907741120
135,006,826,748,907,741,120 is an even composite number composed of six prime numbers multiplied together.
135006826748907741120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 135006826748907741120:
26 × 37 × 5 × 19 × 43 × 4859232
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 19 × 43 × 485923 × 485923)See below for interesting mathematical facts about the number 135006826748907741120 from the Numbermatics database.
Names of 135006826748907741120
- Cardinal: 135006826748907741120 can be written as One hundred thirty-five quintillion, six quadrillion, eight hundred twenty-six trillion, seven hundred forty-eight billion, nine hundred seven million, seven hundred forty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3500682674890774112 × 1020
Factors of 135006826748907741120
Divisors of 135006826748907741120
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 43 45 48 54 57 60 64 72 76 80 81 86 90 95 96 108 114 120 129 135 144 152 160 162 171 172 180 190 192 215 216 228 240 243 258 270 285 288 304 320 324 342 344 360 380 387 405 430 432 456 480 486 513 516 540 570 576 608 645 648 684 688 720 729 760 774 810 817 855 860 864 912 960 972 1026 1032 1080 1140 1161 1215 1216 1290 1296 1368 1376 1440 1458 1520 1539 1548 1620 1634 1710 1720 1728 1824 1935 1944 2052 2064 2160 2187 2280 2322 2430 2451 2565 2580 2592 2736 2752 2880 2916 3040 3078 3096 3240 3268 3420 3440 3483 3645 3648 3870 3888 4085 4104 4128 4320 4374 4560 4617 4644 4860 4902 5130 5160 5184 5472 5805 5832 6080 6156 6192 6480 6536 6840 6880 6966 7290 7353 7695 7740 7776 8170 8208 8256 8640 8748 9120 9234 9288 9720 9804 10260 10320 10449 10935 10944 11610 11664 12255 12312 12384 12960 13072 13680 13760 13851 13932 14580 14706 15390 15480 15552 16340 16416 17415 17496 18240 18468 18576 19440 19608 20520 20640 20898 21870 22059 23085 23220 23328 24510 24624 24768 25920 26144 27360 27702 27864 29160 29412 30780 30960 31347 32680 32832 34830 34992 36765 36936 37152 38880 39216 41040 41280 41553 41796 43740 44118 46170 46440 46656 49020 49248 52245 52288 54720 55404 55728 58320 58824 61560 61920 62694 65360 66177 69255 69660 69984 73530 73872 74304 77760 78432 82080 83106 83592 87480 88236 92340 92880 94041 98040 98496 104490 110295 110808 111456 116640 117648 123120 123840 125388 130720 132354 138510 139320 139968 147060 147744 156735 156864 164160 166212 167184 174960 176472 184680 185760 188082 196080 198531 207765 208980 220590 221616 222912 233280 235296 246240 250776 261440 264708 277020 278640 294120 295488 313470 330885 332424 334368 349920 352944 369360 371520 376164 392160 397062 415530 417960 441180 443232 470205 470592 485923 492480 501552 529416 554040 557280 588240 595593 626940 661770 664848 668736 699840 705888 738720 752328 784320 794124 831060 835920 882360 886464 940410 971846 992655 1003104 1058832 1108080 1114560 1176480 1191186 1253880 1323540 1329696 1411776 1457769 1477440 1504656 1588248 1662120 1671840 1764720 1786779 1880820 1943692 1985310 2006208 2117664 2216160 2352960 2382372 2429615 2507760 2647080 2659392 2915538 2977965 3009312 3176496 3324240 3343680 3529440 3573558 3761640 3887384 3970620 4235328 4373307 4432320 4764744 4859230 5015520 5294160 5831076 5955930 6018624 6352992 6648480 7058880 7147116 7288845 7523280 7774768 7941240 8746614 8933895 9232537 9529488 9718460 10031040 10588320 11662152 11911860 12705984 13119921 13296960 14294232 14577690 15046560 15549536 15882480 17493228 17867790 18465074 19058976 19436920 20894689 21176640 21866535 23324304 23823720 26239842 27697611 28588464 29155380 30093120 31099072 31764960 34986456 35735580 36930148 38117952 38873840 39359763 41789378 43733070 46162685 46648608 47647440 52479684 55395222 57176928 58310760 62684067 63529920 65599605 69972912 71471160 73860296 77747680 78719526 83092833 83578756 87466140 92325370 93297216 95294880 104473445 104959368 110790444 114353856 116621520 118079289 125368134 131199210 138488055 139945824 142942320 147720592 155495360 157439052 166185666 167157512 174932280 184650740 188052201 190589760 196798815 208946890 209918736 221580888 233243040 236158578 249278499 250736268 262398420 276976110 279891648 285884640 295441184 313420335 314878104 332371332 334315024 349864560 354237867 369301480 376104402 393597630 396999091 415464165 417893780 419837472 443161776 466486080 472317156 498556998 501472536 524796840 553952220 564156603 571769280 590396445 590882368 626840670 629756208 664742664 668630048 699729120 708475734 738602960 747835497 752208804 787195260 793998182 830928330 835787560 839674944 886323552 940261005 944634312 997113996 1002945072 1049593680 1062713601 1107904440 1128313206 1180792890 1190997273 1246392495 1253681340 1259512416 1329485328 1337260096 1399458240 1416951468 1477205920 1495670994 1504417608 1574390520 1587996364 1661856660 1671575120 1692469809 1771189335 1772647104 1880522010 1889268624 1984995455 1994227992 2005890144 2099187360 2125427202 2215808880 2243506491 2256626412 2361585780 2381994546 2492784990 2507362680 2519024832 2658970656 2820783015 2833902936 2954411840 2991341988 3008835216 3148781040 3175992728 3323713320 3343150240 3384939618 3542378670 3572991819 3739177485 3761044020 3778537248 3969990910 3988455984 4011780288 4198374720 4250854404 4431617760 4487012982 4513252824 4723171560 4763989092 4985569980 5014725360 5077409427 5313568005 5317941312 5641566030 5667805872 5954986365 5982683976 6017670432 6297562080 6351985456 6647426640 6686300480 6730519473 6769879236 7084757340 7145983638 7478354970 7522088040 7557074496 7939981820 7976911968 8462349045 8501708808 8863235520 8974025964 9026505648 9446343120 9527978184 9971139960 10029450720 10154818854 10627136010 10718975457 11217532455 11283132060 11335611744 11909972730 11965367952 12035340864 12595124160 12703970912 13294853280 13461038946 13539758472 14169514680 14291967276 14956709940 15044176080 15232228281 15879963640 15953823936 16924698090 17003417616 17864959095 17948051928 18053011296 18892686240 19055956368 19942279920 20058901440 20191558419 20309637708 21254272020 21437950914 22435064910 22566264120 22671223488 23819945460 23930735904 25387047135 25407941824 26589706560 26922077892 27079516944 28339029360 28583934552 29913419880 30088352160 30464456562 31759927280 32156926371 33652597365 33849396180 34006835232 35729918190 35896103856 36106022592 37785372480 38111912736 39884559840 40383116838 40619275416 42508544040 42875901828 44870129820 45132528240 45696684843 47639890920 47861471808 50774094270 53594877285 53844155784 54159033888 56678058720 57167869104 59826839760 60176704320 60928913124 63519854560 64313852742 67305194730 67698792360 68013670464 71459836380 71792207712 76161141405 76223825472 79769119680 80766233676 81238550832 85017088080 85751803656 89740259640 90265056480 91393369686 95279781840 96470779113 100957792095 101548188540 107189754570 107688311568 108318067776 113356117440 114335738208 119653679520 121857826248 127039709120 128627705484 134610389460 135397584720 142919672760 143584415424 152322282810 160784631855 161532467352 162477101664 170034176160 171503607312 179480519280 180530112960 182786739372 190559563680 192941558226 201915584190 203096377080 214379509140 215376623136 228483424215 228671476416 236121161929 239307359040 243715652496 257255410968 269220778920 270795169440 285839345520 289412337339 304644565620 321569263710 323064934704 324954203328 340068352320 343007214624 358961038560 365573478744 381119127360 385883116452 403831168380 406192754160 428759018280 430753246272 456966848430 472242323858 482353895565 487431304992 514510821936 538441557840 541590338880 571678691040 578824674678 609289131240 643138527420 646129869408 686014429248 708363485787 717922077120 731146957488 771766232904 807662336760 812385508320 857518036560 868237012017 913933696860 944484647716 964707791130 974862609984 1029021643872 1076883115680 1143357382080 1157649349356 1180605809645 1218578262480 1286277054840 1292259738816 1416726971574 1447061686695 1462293914976 1543532465808 1615324673520 1624771016640 1715036073120 1736474024034 1827867393720 1888969295432 1929415582260 2058043287744 2125090457361 2153766231360 2315298698712 2361211619290 2437156524960 2572554109680 2833453943148 2894123373390 2924587829952 3087064931616 3230649347040 3430072146240 3472948048068 3541817428935 3655734787440 3777938590864 3858831164520 4250180914722 4341185060085 4486302076651 4630597397424 4722423238580 4874313049920 5145108219360 5666907886296 5788246746780 6174129863232 6375271372083 6461298694080 6945896096136 7083634857870 7311469574880 7555877181728 7717662329040 8500361829444 8682370120170 8972604153302 9261194794848 9444846477160 10153209962947 10290216438720 10625452286805 11333815772592 11576493493560 12750542744166 13458906229953 13891792192272 14167269715740 14622939149760 15111754363456 15435324658080 17000723658888 17364740240340 17945208306604 18522389589696 18889692954320 19125814116249 20306419925894 21250904573610 22431510383255 22667631545184 23152986987120 25501085488332 26917812459906 27783584384544 28334539431480 30459629888841 30870649316160 31876356860415 34001447317776 34729480480680 35890416613208 37779385908640 38251628232498 40376718689859 40612839851788 42501809147220 44863020766510 45335263090368 46305973974240 50766049814735 51002170976664 53835624919812 55567168769088 56669078862960 57377442348747 60919259777682 63752713720830 67294531149765 68002894635552 69458960961360 71780833226416 75558771817280 76503256464996 80753437379718 81225679703576 85003618294440 89726041533020 91378889666523 92611947948480 95629070581245 101532099629470 102004341953328 107671249839624 113338157725920 114754884697494 121130156069577 121838519555364 127505427441660 134589062299530 136005789271104 138917921922720 143561666452832 152298149444205 153006512929992 161506874759436 162451359407152 170007236588880 172132327046241 179452083066040 182757779333046 191258141162490 192910989295993 201883593449295 203064199258940 204008683906656 215342499679248 226676315451840 229509769394988 242260312139154 243677039110728 255010854883320 269178124599060 274136668999569 277835843845440 286887211743735 287123332905664 304596298888410 306013025859984 323013749518872 324902718814304 340014473177760 344264654092482 358904166132080 363390468208731 365515558666092 382516282324980 385821978591986 403767186898590 406128398517880 408017367813312 430684999358496 456894448332615 459019538789976 484520624278308 487354078221456 510021709766640 516396981138723 538356249198120 548273337999138 573774423487470 578732967887979 605650780347885 609192597776820 612026051719968 646027499037744 649805437628608 680028946355520 688529308184964 717808332264160 726780936417462 731031117332184 765032564649960 771643957183972 807534373797180 812256797035760 822410006998707 860661635231205 861369998716992 913788896665230 918039077579952 964554946479965 969041248556616 974708156442912 1020043419533280 1032793962277446 1076712498396240 1090171404626193 1096546675998276 1147548846974940 1157465935775958 1211301560695770 1218385195553640 1224052103439936 1292054998075488 1370683344997845 1377058616369928 1435616664528320 1453561872834924 1462062234664368 1530065129299920 1543287914367944 1615068747594360 1624513594071520 1644820013997414 1721323270462410 1736198903663937 1816952341043655 1827577793330460 1836078155159904 1929109892959930 1938082497113232 1949416312885824 2040086839066560 2065587924554892 2153424996792480 2180342809252386 2193093351996552 2295097693949880 2314931871551916 2422603121391540 2436770391107280 2467230020996121 2581984905693615 2584109996150976 2741366689995690 2754117232739856 2893664839439895 2907123745669848 2924124469328736 3060130258599840 3086575828735888 3230137495188720 3249027188143040 3270514213878579 3289640027994828 3442646540924820 3472397807327874 3633904682087310 3655155586660920 3672156310319808 3858219785919860 3876164994226464 4112050034993535 4131175849109784 4306849993584960 4360685618504772 4386186703993104 4590195387899760 4629863743103832 4845206242783080 4873540782214560 4934460041992242 5163969811387230 5208596710991811 5450857023130965 5482733379991380 5508234465479712 5787329678879790 5814247491339696 5848248938657472 6120260517199680 6173151657471776 6460274990377440 6541028427757158 6579280055989656 6885293081849640 6944795614655748 7267809364174620 7310311173321840 7401690062988363 7716439571839720 7752329988452928 8224100069987070 8262351698219568 8680994518319685 8721371237009544 8772373407986208 9180390775799520 9259727486207664 9690412485566160 9747081564429120 9811542641635737 9868920083984484 10327939622774460 10417193421983622 10901714046261930 10965466759982760 11016468930959424 11574659357759580 11628494982679392 12336150104980605 12346303314943552 12920549980754880 13082056855514316 13158560111979312 13770586163699280 13889591229311496 14535618728349240 14620622346643680 14803380125976726 15432879143679440 15625790132975433 16352571069392895 16448200139974140 16524703396439136 17361989036639370 17442742474019088 17544746815972416 18360781551599040 18519454972415328 19380824971132320 19623085283271474 19737840167968968 20655879245548920 20834386843967244 21803428092523860 21930933519965520 22205070188965089 23149318715519160 23256989965358784 24672300209961210 26042983554959055 26164113711028632 26317120223958624 27541172327398560 27779182458622992 29071237456698480 29241244693287360 29606760251953452 30865758287358880 31251580265950866 32705142138785790 32896400279948280 33049406792878272 34723978073278740 34885484948038176 37008450314941815 37038909944830656 38761649942264640 39246170566542948 39475680335937936 41311758491097840 41668773687934488 43606856185047720 43861867039931040 44410140377930178 46298637431038320 46877370398926299 49057713208178685 49344600419922420 52085967109918110 52328227422057264 52634240447917248 55082344654797120 55558364917245984 58142474913396960 59213520503906904 61731516574717760 62503160531901732 65410284277571580 65792800559896560 69447956146557480 69770969896076352 74016900629883630 78128950664877165 78492341133085896 78951360671875872 82623516982195680 83337547375868976 87213712370095440 87723734079862080 88820280755860356 92597274862076640 93754740797852598 98115426416357370 98689200839844840 104171934219836220 104656454844114528 111025350944825445 111116729834491968 116284949826793920 118427041007813808 125006321063803464 130820568555143160 131585601119793120 138895912293114960 140632111196778897 148033801259767260 156257901329754330 156984682266171792 157902721343751744 165247033964391360 166675094751737952 174427424740190880 177640561511720712 185194549724153280 187509481595705196 196230852832714740 197378401679689680 208343868439672440 209312909688229056 222050701889650890 234386851994631495 236854082015627616 250012642127606928 261641137110286320 263171202239586240 277791824586229920 281264222393557794 296067602519534520 312515802659508660 313969364532343584 333350189503475904 348854849480381760 355281123023441424 375018963191410392 392461705665429480 394756803359379360 416687736879344880 421896333590336691 444101403779301780 468773703989262990 473708164031255232 500025284255213856 523282274220572640 555583649172459840 562528444787115588 592135205039069040 625031605319017320 627938729064687168 703160555983894485 710562246046882848 750037926382820784 784923411330858960 789513606718758720 833375473758689760 843792667180673382 888202807558603560 937547407978525980 1000050568510427712 1046564548441145280 1125056889574231176 1184270410078138080 1250063210638034640 1406321111967788970 1421124492093765696 1500075852765641568 1569846822661717920 1666750947517379520 1687585334361346764 1776405615117207120 1875094815957051960 2109481667951683455 2250113779148462352 2368540820156276160 2500126421276069280 2812642223935577940 3000151705531283136 3139693645323435840 3375170668722693528 3552811230234414240 3750189631914103920 4218963335903366910 4500227558296924704 5000252842552138560 5625284447871155880 6750341337445387056 7105622460468828480 7500379263828207840 8437926671806733820 9000455116593849408 11250568895742311760 13500682674890774112 15000758527656415680 16875853343613467640 22501137791484623520 27001365349781548224 33751706687226935280 45002275582969247040 67503413374453870560 135006826748907741120
- Sum of all divisors σ(n): 519334641564529190400
- Sum of proper divisors (its aliquot sum) s(n): 384327814815621449280
- 135006826748907741120 is an abundant number, because the sum of its proper divisors (384327814815621449280) is greater than itself. Its abundance is 249320988066713708160
Bases of 135006826748907741120
- Binary: 11101010001100110001001100110100001100111010101100111011111110000002
- Hexadecimal: 0x7519899A19D59DFC0
- Base-36: SHPV9X6UQF000
Squares and roots of 135006826748907741120
- 135006826748907741120 squared (1350068267489077411202) is 18226843268809590751744574949460938854400
- 135006826748907741120 cubed (1350068267489077411203) is 2460748271371671665944456587926504090327950013523144572928000
-
The
square root of 135006826748907741120 is 11619243811.4064781475 -
The
cube root of 135006826748907741120 is 5130014.3095090537
Scales and comparisons
How big is 135006826748907741120?- 135,006,826,748,907,741,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,006,826,748,907,741,120 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 135006826748907741120 cubic inches would be around 427501.2 feet tall.
Recreational maths with 135006826748907741120
- 135006826748907741120 backwards is 021147709847628600531
- 135006826748907741120 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 135006826748907741120's digits is 81
- More coming soon!
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"Number 135006826748907741120 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 135006826748907741120 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/135006826748907741120/
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Numbermatics. 2024. "Number 135006826748907741120 - Facts about the integer". https://numbermatics.com/n/135006826748907741120/
The information we have on file for 135006826748907741120 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!
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