138950303087469706560
138,950,303,087,469,706,560 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138950303087469706560 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1120 divisors.
138950303087469706560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138950303087469706560:
26 × 34 × 5 × 7 × 13 × 47 × 1253387187709
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 47 × 1253387187709)See below for interesting mathematical facts about the number 138950303087469706560 from the Numbermatics database.
Names of 138950303087469706560
- Cardinal: 138950303087469706560 can be written as One hundred thirty-eight quintillion, nine hundred fifty quadrillion, three hundred three trillion, eighty-seven billion, four hundred sixty-nine million, seven hundred six thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3895030308746970656 × 1020
Factors of 138950303087469706560
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1253387187786
Divisors of 138950303087469706560
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 47 48 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 94 96 104 105 108 112 117 120 126 130 135 140 141 144 156 160 162 168 180 182 188 189 192 195 208 210 216 224 234 235 240 252 260 270 273 280 282 288 312 315 320 324 329 336 351 360 364 376 378 390 405 416 420 423 432 448 455 468 470 480 504 520 540 546 560 564 567 576 585 611 624 630 648 658 672 702 705 720 728 752 756 780 810 819 832 840 846 864 910 936 940 945 960 987 1008 1040 1053 1080 1092 1120 1128 1134 1170 1222 1248 1260 1269 1296 1316 1344 1365 1404 1410 1440 1456 1504 1512 1560 1620 1638 1645 1680 1692 1728 1755 1820 1833 1872 1880 1890 1974 2016 2080 2106 2115 2160 2184 2240 2256 2268 2340 2444 2457 2496 2520 2538 2592 2632 2730 2808 2820 2835 2880 2912 2961 3008 3024 3055 3120 3240 3276 3290 3360 3384 3510 3640 3666 3744 3760 3780 3807 3948 4032 4095 4160 4212 4230 4277 4320 4368 4512 4536 4680 4888 4914 4935 5040 5076 5184 5264 5265 5460 5499 5616 5640 5670 5824 5922 6048 6110 6240 6345 6480 6552 6580 6720 6768 7020 7280 7332 7371 7488 7520 7560 7614 7896 8190 8424 8460 8554 8640 8736 8883 9024 9072 9165 9360 9776 9828 9870 10080 10152 10528 10530 10920 10998 11232 11280 11340 11844 12096 12220 12285 12480 12690 12831 12960 13104 13160 13536 14040 14560 14664 14742 14805 15040 15120 15228 15792 16380 16497 16848 16920 17108 17472 17766 18144 18330 18720 19035 19552 19656 19740 20160 20304 21056 21060 21385 21840 21996 22464 22560 22680 23688 24440 24570 25380 25662 25920 26208 26320 26649 27072 27495 28080 29120 29328 29484 29610 30240 30456 31584 32760 32994 33696 33840 34216 35532 36288 36660 36855 37440 38070 38493 39104 39312 39480 40608 42120 42770 43680 43992 44415 45120 45360 47376 48880 49140 49491 50760 51324 52416 52640 53298 54990 56160 58656 58968 59220 60480 60912 63168 64155 65520 65988 67392 67680 68432 71064 73320 73710 76140 76986 78624 78960 81216 82485 84240 85540 87360 87984 88830 90720 94752 97760 98280 98982 101520 102648 105280 106596 109980 112320 115479 117312 117936 118440 121824 128310 131040 131976 133245 135360 136864 142128 146640 147420 152280 153972 157248 157920 164970 168480 171080 175968 177660 181440 189504 192465 195520 196560 197964 203040 205296 213192 219960 230958 235872 236880 243648 247455 256620 262080 263952 266490 273728 284256 293280 294840 304560 307944 315840 329940 336960 342160 346437 351936 355320 384930 393120 395928 406080 410592 426384 439920 461916 471744 473760 494910 513240 527904 532980 568512 577395 586560 589680 609120 615888 659880 684320 692874 710640 769860 786240 791856 821184 852768 879840 923832 947520 989820 1026480 1055808 1065960 1154790 1179360 1218240 1231776 1319760 1368640 1385748 1421280 1539720 1583712 1705536 1732185 1759680 1847664 1979640 2052960 2131920 2309580 2358720 2463552 2639520 2771496 2842560 3079440 3167424 3464370 3695328 3959280 4105920 4263840 4619160 5279040 5542992 6158880 6928740 7390656 7918560 8527680 9238320 11085984 12317760 13857480 15837120 18476640 22171968 27714960 36953280 55429920 110859840 1253387187709 2506774375418 3760161563127 5013548750836 6266935938545 7520323126254 8773710313963 10027097501672 11280484689381 12533871877090 15040646252508 16294033440217 17547420627926 18800807815635 20054195003344 22560969378762 25067743754180 26321130941889 30081292505016 32588066880434 33841454068143 35094841255852 37601615631270 40108390006688 43868551569815 45121938757524 48882100320651 50135487508360 52642261883778 56402423446905 58909197822323 60162585010032 65176133760868 67682908136286 70189682511704 75203231262540 78963392825667 80216780013376 81470167201085 87737103139630 90243877515048 97764200641302 100270975016720 101524362204429 105284523767556 112804846893810 114058234081519 117818395644646 120325170020064 130352267521736 131605654709445 135365816272572 140379365023408 146646300961953 150406462525080 157926785651334 162940334402170 169207270340715 175474206279260 176727593466969 180487755030096 195528401282604 200541950033440 203048724408858 210569047535112 225609693787620 228116468163038 235636791289292 236890178477001 240650340040128 244410501603255 260704535043472 263211309418890 270731632545144 280758730046816 293292601923906 294545989111615 300812925050160 315853571302668 325880668804340 338414540681430 342174702244557 350948412558520 353455186933938 360975510060192 391056802565208 394816964128335 401083900066880 406097448817716 412364384756261 421138095070224 439938902885859 451219387575240 456232936326076 471273582578584 473780356954002 488821003206510 507621811022145 521409070086944 526422618837780 530182780400907 541463265090288 561517460093632 570291170407595 586585203847812 589091978223230 601625850100320 631707142605336 651761337608680 676829081362860 684349404489114 701896825117040 706910373867876 710670535431003 721951020120384 733231504809765 765819571690199 782113605130416 789633928256670 812194897635432 824728769512522 842276190140448 879877805771718 883637967334845 902438775150480 912465872652152 942547165157168 947560713908004 977642006413020 1015243622044290 1026524106733671 1042818140173888 1052845237675560 1060365560801814 1082926530180576 1140582340815190 1173170407695624 1178183956446460 1184450892385005 1203251700200640 1237093154268783 1263414285210672 1303522675217360 1319816708657577 1353658162725720 1368698808978228 1403793650234080 1413820747735752 1421341070862006 1466463009619530 1531639143380398 1564227210260832 1579267856513340 1590548341202721 1624389795270864 1649457539025044 1684552380280896 1710873511222785 1759755611543436 1767275934669690 1804877550300960 1824931745304304 1885094330314336 1895121427816008 1955284012826040 2030487244088580 2053048213467342 2061821923781305 2105690475351120 2120731121603628 2165853060361152 2199694514429295 2281164681630380 2297458715070597 2346340815391248 2356367912892920 2368901784770010 2474186308537566 2526828570421344 2607045350434720 2639633417315154 2650913902004535 2707316325451440 2737397617956456 2807587300468160 2827641495471504 2842682141724012 2932926019239060 3063278286760796 3079572320201013 3128454420521664 3158535713026680 3181096682405442 3248779590541728 3298915078050088 3421747022445570 3519511223086872 3534551869339380 3553352677155015 3609755100601920 3649863490608608 3711279462806349 3770188660628672 3790242855632016 3829097858450995 3910568025652080 4060974488177160 4106096426934684 4123643847562610 4211380950702240 4241462243207256 4399389028858590 4562329363260760 4594917430141194 4692681630782496 4712735825785840 4737803569540020 4771645023608163 4948372617075132 5053657140842688 5132620533668355 5214090700869440 5279266834630308 5301827804009070 5360737001831393 5414632650902880 5474795235912912 5655282990943008 5685364283448024 5865852038478120 6126556573521592 6159144640402026 6185465771343915 6317071426053360 6362193364810884 6497559181083456 6597830156100176 6599083543287885 6843494044891140 6892376145211791 7039022446173744 7069103738678760 7106705354310030 7299726981217216 7422558925612698 7580485711264032 7658195716901990 7821136051304160 7952741706013605 8121948976354320 8212192853869368 8247287695125220 8422761901404480 8482924486414512 8798778057717180 9124658726521520 9189834860282388 9238716960603039 9385363261564992 9425471651571680 9475607139080040 9543290047216326 9896745234150264 10265241067336710 10558533669260616 10603655608018140 10721474003662786 10829265301805760 10949590471825824 11133838388419047 11310565981886016 11370728566896048 11487293575352985 11731704076956240 12253113147043184 12318289280804052 12370931542687830 12634142852106720 12724386729621768 13195660312200352 13198167086575770 13686988089782280 13784752290423582 14078044892347488 14138207477357520 14213410708620060 14845117851225396 15160971422528064 15316391433803980 15397861601005065 15642272102608320 15905483412027210 16082211005494179 16243897952708640 16424385707738736 16494575390250440 16965848972829024 17597556115434360 18249317453043040 18379669720564776 18477433921206078 18556397314031745 18850943303143360 18951214278160080 19086580094432652 19793490468300528 20530482134673420 20677128435635373 21117067338521232 21207311216036280 21442948007325572 21899180943651648 22267676776838094 22741457133792096 22974587150705970 23463408153912480 23858225118040815 24506226294086368 24636578561608104 24741863085375660 25268285704213440 25448773459243536 26391320624400704 26396334173151540 26803685009156965 27373976179564560 27569504580847164 28156089784694976 28276414954715040 28426821417240120 29690235702450792 30632782867607960 30795723202010130 31810966824054420 32164422010988358 32487795905417280 32848771415477472 32989150780500880 33401515165257141 33931697945658048 34461880726058955 35195112230868720 36498634906086080 36759339441129552 36954867842412156 37112794628063490 37902428556320160 38173160188865304 39586980936601056 41060964269346840 41354256871270746 42234134677042464 42414622432072560 42885896014651144 44535353553676188 45482914267584192 45949174301411940 46193584803015195 46926816307824960 47716450236081630 48246633016482537 49012452588172736 49273157123216208 49483726170751320 50897546918487072 52792668346303080 53607370018313930 54747952359129120 55139009161694328 55669191942095235 56552829909430080 56853642834480240 59380471404901584 61265565735215920 61591446404020260 62031385306906119 63621933648108840 64328844021976716 65697542830954944 65978301561001760 66803030330514282 68923761452117910 70390224461737440 73518678882259104 73909735684824312 74225589256126980 75804857112640320 76346320377730608 79173961873202112 80411055027470895 82121928538693680 82708513742541492 84468269354084928 84829244864145120 85771792029302288 89070707107352376 91898348602823880 92387169606030390 95432900472163260 96493266032965074 98546314246432416 98967452341502640 101795093836974144 103385642178176865 105585336692606160 107214740036627860 109495904718258240 110278018323388656 111338383884190470 113707285668960480 118760942809803168 122531131470431840 123182892808040520 124062770613812238 127243867296217680 128657688043953432 131956603122003520 133606060661028564 137847522904235820 140780448923474880 144739899049447611 147037357764518208 147819471369648624 148451178512253960 152692640755461216 160822110054941790 164243857077387360 165417027485082984 167007575826285705 169658489728290240 171543584058604576 178141414214704752 183796697205647760 184774339212060780 190865800944326520 192986532065930148 197092628492864832 197934904683005280 206771284356353730 211170673385212320 214429480073255720 220556036646777312 222676767768380940 227414571337920960 237521885619606336 241233165082412685 245062262940863680 246365785616081040 248125541227624476 254487734592435360 257315376087906864 267212121322057128 275695045808471640 289479798098895222 295638942739297248 296902357024507920 305385281510922432 310156926534530595 321644220109883580 328487714154774720 330834054970165968 334015151652571410 343087168117209152 356282828429409504 367593394411295520 369548678424121560 381731601888653040 385973064131860296 395869809366010560 413542568712707460 422341346770424640 428858960146511440 434219697148342833 441112073293554624 445353535536761880 482466330164825370 492731571232162080 496251082455248952 508975469184870720 514630752175813728 534424242644114256 551390091616943280 578959596197790444 591277885478594496 593804714049015840 620313853069061190 643288440219767160 661668109940331936 668030303305142820 712565656858819008 723699495247238055 735186788822591040 739097356848243120 763463203777306080 771946128263720592 827085137425414920 857717920293022880 868439394296685666 890707071073523760 964932660329650740 985463142464324160 992502164910497904 1029261504351627456 1068848485288228512 1102780183233886560 1157919192395580888 1187609428098031680 1240627706138122380 1286576880439534320 1323336219880663872 1336060606610285640 1447398990494476110 1478194713696486240 1526926407554612160 1543892256527441184 1654170274850829840 1715435840586045760 1736878788593371332 1781414142147047520 1929865320659301480 1985004329820995808 2137696970576457024 2171098485741714165 2205560366467773120 2315838384791161776 2481255412276244760 2573153760879068640 2672121213220571280 2894797980988952220 2956389427392972480 3087784513054882368 3308340549701659680 3473757577186742664 3562828284294095040 3859730641318602960 3970008659641991616 4342196971483428330 4631676769582323552 4962510824552489520 5146307521758137280 5344242426441142560 5789595961977904440 6616681099403319360 6947515154373485328 7719461282637205920 8684393942966856660 9263353539164647104 9925021649104979040 10688484852882285120 11579191923955808880 13895030308746970656 15438922565274411840 17368787885933713320 19850043298209958080 23158383847911617760 27790060617493941312 34737575771867426640 46316767695823235520 69475151543734853280 138950303087469706560
- Sum of all divisors σ(n): 621276394267132369920
- Sum of proper divisors (its aliquot sum) s(n): 482326091179662663360
- 138950303087469706560 is an abundant number, because the sum of its proper divisors (482326091179662663360) is greater than itself. Its abundance is 343375788092192956800
Bases of 138950303087469706560
- Binary: 11110001000010100101010010001110111110000010111111010111101010000002
- Hexadecimal: 0x78852A477C17EBD40
- Base-36: TBOGBM794ES00
Squares and roots of 138950303087469706560
- 138950303087469706560 squared (1389503030874697065602) is 19307186728099693467317124925692507033600
- 138950303087469706560 cubed (1389503030874697065603) is 2682739447635824979096841799526004204861536575819728060416000
-
The
square root of 138950303087469706560 is 11787718315.5804035595 -
The
cube root of 138950303087469706560 is 5179484.0435529095
Scales and comparisons
How big is 138950303087469706560?- 138,950,303,087,469,706,560 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,950,303,087,469,706,560 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 138950303087469706560 cubic inches would be around 431623.7 feet tall.
Recreational maths with 138950303087469706560
- 138950303087469706560 backwards is 065607964780303059831
- 138950303087469706560 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138950303087469706560's digits is 90
- More coming soon!
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"Number 138950303087469706560 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 138950303087469706560 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/138950303087469706560/
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The information we have on file for 138950303087469706560 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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