138342072526312500
138,342,072,526,312,500 is an even composite number composed of five prime numbers multiplied together.
What does the number 138342072526312500 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1260 divisors.
138342072526312500 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 138342072526312500:
22 × 39 × 56 × 127 × 9412
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 127 × 941 × 941)See below for interesting mathematical facts about the number 138342072526312500 from the Numbermatics database.
Names of 138342072526312500
- Cardinal: 138342072526312500 can be written as One hundred thirty-eight quadrillion, three hundred forty-two trillion, seventy-two billion, five hundred twenty-six million, three hundred twelve thousand, five hundred.
Scientific notation
- Scientific notation: 1.383420725263125 × 1017
Factors of 138342072526312500
Divisors of 138342072526312500
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 127 135 150 162 180 225 243 250 254 270 300 324 375 381 405 450 486 500 508 540 625 635 675 729 750 762 810 900 941 972 1125 1143 1215 1250 1270 1350 1458 1500 1524 1620 1875 1882 1905 2025 2187 2250 2286 2430 2500 2540 2700 2823 2916 3125 3175 3375 3429 3645 3750 3764 3810 4050 4374 4500 4572 4705 4860 5625 5646 5715 6075 6250 6350 6561 6750 6858 7290 7500 7620 8100 8469 8748 9375 9410 9525 10125 10287 10935 11250 11292 11430 12150 12500 12700 13122 13500 13716 14115 14580 15625 15875 16875 16938 17145 18225 18750 18820 19050 19683 20250 20574 21870 22500 22860 23525 24300 25407 26244 28125 28230 28575 30375 30861 31250 31750 32805 33750 33876 34290 36450 37500 38100 39366 40500 41148 42345 43740 46875 47050 47625 50625 50814 51435 54675 56250 56460 57150 60750 61722 62500 63500 65610 67500 68580 70575 72900 76221 78732 79375 84375 84690 85725 91125 92583 93750 94100 95250 98415 101250 101628 102870 109350 112500 114300 117625 119507 121500 123444 127035 131220 140625 141150 142875 151875 152442 154305 158750 164025 168750 169380 171450 182250 185166 187500 190500 196830 202500 205740 211725 218700 228663 235250 238125 239014 253125 254070 257175 273375 277749 281250 282300 285750 303750 304884 308610 317500 328050 337500 342900 352875 358521 364500 370332 381105 393660 396875 421875 423450 428625 455625 457326 462915 470500 476250 478028 492075 506250 508140 514350 546750 555498 562500 571500 588125 597535 607500 617220 635175 656100 685989 705750 714375 717042 759375 762210 771525 793750 820125 833247 843750 846900 857250 885481 911250 914652 925830 952500 984150 1012500 1028700 1058625 1075563 1093500 1110996 1143315 1176250 1190625 1195070 1265625 1270350 1285875 1366875 1371978 1388745 1411500 1428750 1434084 1518750 1524420 1543050 1587500 1640250 1666494 1687500 1714500 1764375 1770962 1792605 1822500 1851660 1905525 1968300 1984375 2057967 2117250 2143125 2151126 2278125 2286630 2314575 2352500 2381250 2390140 2460375 2499741 2531250 2540700 2571750 2656443 2733750 2743956 2777490 2857500 2940625 2987675 3037500 3086100 3175875 3226689 3280500 3332988 3429945 3528750 3541924 3571875 3585210 3796875 3811050 3857625 3968750 4100625 4115934 4166235 4234500 4286250 4302252 4427405 4556250 4573260 4629150 4762500 4920750 4999482 5062500 5143500 5293125 5312886 5377815 5467500 5554980 5716575 5881250 5953125 5975350 6173901 6351750 6429375 6453378 6834375 6859890 6943725 7057500 7143750 7170420 7593750 7622100 7715250 7937500 7969329 8201250 8231868 8332470 8572500 8821875 8854810 8963025 9112500 9258300 9527625 9680067 9841500 9998964 10289835 10586250 10625772 10715625 10755630 11390625 11433150 11572875 11762500 11906250 11950700 12301875 12347802 12498705 12703500 12858750 12906756 13282215 13668750 13719780 13887450 14287500 14703125 14938375 15187500 15430500 15879375 15938658 16133445 16402500 16664940 17149725 17643750 17709620 17859375 17926050 18521703 19055250 19288125 19360134 20503125 20579670 20831175 21172500 21431250 21511260 22137025 22781250 22866300 23145750 23812500 23907987 24603750 24695604 24997410 25717500 26465625 26564430 26889075 27337500 27774900 28582875 29040201 29406250 29876750 30869505 31758750 31877316 32146875 32266890 34171875 34299450 34718625 35287500 35718750 35852100 37043406 38110500 38576250 38720268 39846645 41006250 41159340 41662350 42862500 44109375 44274050 44815125 45562500 46291500 47638125 47815974 48400335 49207500 49994820 51449175 52931250 53128860 53578125 53778150 57165750 57864375 58080402 58812500 59753500 61509375 61739010 62493525 63517500 64293750 64533780 66411075 68343750 68598900 69437250 71437500 71723961 74086812 74691875 77152500 79396875 79693290 80667225 82012500 83324700 85748625 87120603 88218750 88548100 89630250 92608515 95276250 95631948 96440625 96800670 102515625 102898350 104155875 105862500 107156250 107556300 110685125 112456087 114331500 115728750 116160804 119539935 123018750 123478020 124987050 128587500 132328125 132822150 134445375 136687500 138874500 142914375 143447922 145201005 149383750 154347525 158793750 159386580 160734375 161334450 171497250 173593125 174241206 176437500 179260500 185217030 190552500 192881250 193601340 199233225 205031250 205796700 208311750 214312500 215171883 221370250 224075625 224912174 231457500 238190625 239079870 242001675 246037500 249974100 257245875 261361809 264656250 265644300 268890750 285828750 286895844 289321875 290402010 298767500 307546875 308695050 312467625 317587500 321468750 322668900 332055375 337368261 342994500 347186250 348482412 358619805 370434060 373459375 385762500 396984375 398466450 403336125 410062500 416623500 428743125 430343766 435603015 442740500 448151250 449824348 463042575 476381250 478159740 482203125 484003350 514491750 520779375 522723618 529312500 537781500 553425625 562280435 571657500 578643750 580804020 597699675 615093750 617390100 624935250 642937500 645515649 664110750 672226875 674736522 694372500 714571875 717239610 726005025 746918750 771737625 784085427 793968750 796932900 806672250 857486250 860687532 867965625 871206030 896302500 926085150 952762500 964406250 968006700 996166125 1012104783 1028983500 1041558750 1045447236 1075859415 1106851250 1120378125 1124560870 1157287500 1190953125 1195399350 1210008375 1230187500 1249870500 1286229375 1291031298 1306809045 1328221500 1344453750 1349473044 1429143750 1434479220 1446609375 1452010050 1493837500 1543475250 1562338125 1568170854 1587937500 1613344500 1660276875 1686841305 1714972500 1735931250 1742412060 1793099025 1852170300 1867296875 1928812500 1936546947 1992332250 2016680625 2024209566 2083117500 2143715625 2151718830 2178015075 2213702500 2240756250 2249121740 2315212875 2352256281 2381906250 2390798700 2420016750 2572458750 2582062596 2603896875 2613618090 2688907500 2767128125 2811402175 2858287500 2893218750 2904020100 2988498375 3036314349 3086950500 3124676250 3136341708 3227578245 3320553750 3361134375 3373682610 3471862500 3572859375 3586198050 3630025125 3734593750 3858688125 3873093894 3920427135 3984664500 4033361250 4048419132 4287431250 4303437660 4339828125 4356030150 4481512500 4630425750 4704512562 4763812500 4840033500 4980830625 5060523915 5144917500 5207793750 5227236180 5379297075 5534256250 5601890625 5622804350 5786437500 5809640841 5976996750 6050041875 6072628698 6249352500 6431146875 6455156490 6534045225 6641107500 6722268750 6747365220 7145718750 7172396100 7260050250 7469187500 7717376250 7746187788 7811690625 7840854270 8066722500 8301384375 8434206525 8574862500 8679656250 8712060300 8965495125 9108943047 9260851500 9409025124 9682734735 9961661250 10083403125 10121047830 10415587500 10718578125 10758594150 10890075375 11068512500 11203781250 11245608700 11576064375 11619281682 11761281405 11953993500 12100083750 12145257396 12862293750 12910312980 13019484375 13068090450 13444537500 13835640625 14057010875 14291437500 14520100500 14942491875 15181571745 15434752500 15623381250 15681708540 16137891225 16602768750 16805671875 16868413050 17359312500 17428922523 17930990250 18150125625 18217886094 19293440625 19365469470 19602135675 19923322500 20166806250 20242095660 21437156250 21517188300 21780150750 22407562500 23152128750 23238563364 23522562810 24200167500 24904153125 25302619575 25724587500 26038968750 26136180900 26896485375 27326829141 27671281250 28114021750 29048204205 29884983750 30250209375 30363143490 31246762500 32155734375 32275782450 32670226125 33205537500 33611343750 33736826100 34857845046 35861980500 36300251250 36435772188 38586881250 38730938940 39058453125 39204271350 40333612500 41506921875 42171032625 42874312500 43560301500 44827475625 45544715235 46304257500 47045125620 48413673675 49808306250 50417015625 50605239150 52077937500 53792970750 54450376875 54653658282 55342562500 56228043500 57880321875 58096408410 58806407025 59769967500 60500418750 60726286980 64311468750 64551564900 65340452250 67222687500 69715690092 70285054375 72600502500 74712459375 75907858725 77173762500 78116906250 78408542700 80689456125 81980487423 83013843750 84342065250 87144612615 89654951250 90750628125 91089430470 96467203125 96827347350 98010678375 99616612500 100834031250 101210478300 107585941500 108900753750 109307316564 115760643750 116192816820 117612814050 121000837500 124520765625 126513097875 128622937500 130680904500 134482426875 136634145705 140570108750 145241021025 149424918750 151251046875 151815717450 156233812500 161378912250 163351130625 163960974846 166027687500 168684130500 174289225230 179309902500 181501256250 182178860940 192934406250 193654694700 196021356750 201668062500 210855163125 217801507500 224137378125 227723576175 231521287500 235225628100 242068368375 245941462269 249041531250 253026195750 268964853750 272251884375 273268291410 281140217500 289401609375 290482042050 294032035125 298849837500 302502093750 303631434900 322757824500 326702261250 327921949692 348578450460 351425271875 363002512500 373562296875 379539293625 385868812500 392042713500 403447280625 409902437115 421710326250 435723063075 448274756250 453753140625 455447152350 484136736750 490053391875 491882924538 498083062500 506052391500 537929707500 544503768750 546536582820 578803218750 580964084100 588064070250 605004187500 632565489375 653404522500 672412134375 683170728525 702850543750 726205105125 737824386807 747124593750 759078587250 806894561250 816755653125 819804874230 843420652500 871446126150 896549512500 907506281250 910894304700 968273473500 980106783750 983765849076 1054275815625 1089007537500 1120686890625 1138617880875 1157606437500 1176128140500 1210341841875 1229707311345 1265130978750 1344824268750 1361259421875 1366341457050 1405701087500 1452410210250 1470160175625 1475648773614 1494249187500 1518157174500 1613789122500 1633511306250 1639609748460 1742892252300 1757126359375 1815012562500 1897696468125 1960213567500 2017236403125 2049512185575 2108551631250 2178615315375 2213473160421 2241373781250 2277235761750 2420683683750 2450266959375 2459414622690 2530261957500 2689648537500 2722518843750 2732682914100 2904820420500 2940320351250 2951297547228 3162827446875 3267022612500 3362060671875 3415853642625 3514252718750 3631025525625 3689121934035 3795392936250 4034472806250 4083778265625 4099024371150 4217103262500 4357230630750 4426946320842 4482747562500 4554471523500 4841367367500 4900533918750 4918829245380 5271379078125 5445037687500 5693089404375 5880640702500 6051709209375 6148536556725 6325654893750 6724121343750 6831707285250 7028505437500 7262051051250 7350800878125 7378243868070 7590785872500 8068945612500 8167556531250 8198048742300 8714461261500 8853892641684 9488482340625 9801067837500 10086182015625 10247560927875 10542758156250 10893076576875 11067365802105 11386178808750 12103418418750 12251334796875 12297073113450 12651309787500 13448242687500 13663414570500 14524102102500 14701601756250 14756487736140 15814137234375 16335113062500 17079268213125 18155127628125 18445609670175 18976964681250 20172364031250 20495121855750 21085516312500 21786153153750 22134731604210 22772357617500 24206836837500 24502669593750 24594146226900 28465447021875 29403203512500 30258546046875 30742682783625 31628274468750 34158536426250 36310255256250 36754004390625 36891219340350 37953929362500 40344728062500 40990243711500 43572306307500 44269463208420 47442411703125 49005339187500 51237804639375 54465382884375 55336829010525 56930894043750 60517092093750 61485365567250 63256548937500 68317072852500 72620510512500 73508008781250 73782438680700 85396341065625 90775638140625 92228048350875 94884823406250 102475609278750 108930765768750 110673658021050 113861788087500 121034184187500 122970731134500 142327235109375 147016017562500 153713413918125 170792682131250 181551276281250 184456096701750 189769646812500 204951218557500 217861531537500 221347316042100 256189023196875 272326914421875 276684145052625 284654470218750 307426827836250 341585364262500 363102552562500 368912193403500 426981705328125 461140241754375 512378046393750 544653828843750 553368290105250 569308940437500 614853655672500 768567069590625 853963410656250 922280483508750 1024756092787500 1089307657687500 1106736580210500 1280945115984375 1383420725263125 1537134139181250 1707926821312500 1844560967017500 2305701208771875 2561890231968750 2766841450526250 3074268278362500 3842835347953125 4611402417543750 5123780463937500 5533682901052500 6917103626315625 7685670695906250 9222804835087500 11528506043859375 13834207252631250 15371341391812500 23057012087718750 27668414505262500 34585518131578125 46114024175437500 69171036263156250 138342072526312500
- Sum of all divisors σ(n): 457982309161405952
- Sum of proper divisors (its aliquot sum) s(n): 319640236635093452
- 138342072526312500 is an abundant number, because the sum of its proper divisors (319640236635093452) is greater than itself. Its abundance is 181298164108780952
Bases of 138342072526312500
- Binary: 1111010110111110101100001110010100110110000010100001101002
- Hexadecimal: 0x1EB7D61CA6C1434
- Base-36: 11U666R3PB90
Squares and roots of 138342072526312500
- 138342072526312500 squared (1383420725263125002) is 19138529030875507816004847656250000
- 138342072526312500 cubed (1383420725263125003) is 2647663771236316785880971094221020132080078125000000
-
The
square root of 138342072526312500 is 371943641.5995204239 -
The
cube root of 138342072526312500 is 517191.5562147159
Scales and comparisons
How big is 138342072526312500?- 138,342,072,526,312,500 seconds is equal to 4,398,849,986 years, 10 weeks, 6 days, 11 hours, 15 minutes.
-
To count from 1 to 138,342,072,526,312,500 would take you about thirteen billion, one hundred ninety-six million, five hundred forty-nine thousand, nine hundred fifty-eight 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 138342072526312500 cubic inches would be around 43099.3 feet tall.
Recreational maths with 138342072526312500
- 138342072526312500 backwards is 005213625270243831
- 138342072526312500 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138342072526312500's digits is 54
- More coming soon!
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"Number 138342072526312500 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138342072526312500 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138342072526312500/
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The information we have on file for 138342072526312500 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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