138360240119808
138,360,240,119,808 is an even composite number composed of six prime numbers multiplied together.
What does the number 138360240119808 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138360240119808 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 138360240119808:
213 × 32 × 73 × 29 × 37 × 5099
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 29 × 37 × 5099)See below for interesting mathematical facts about the number 138360240119808 from the Numbermatics database.
Names of 138360240119808
- Cardinal: 138360240119808 can be written as One hundred thirty-eight trillion, three hundred sixty billion, two hundred forty million, one hundred nineteen thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.38360240119808 × 1014
Factors of 138360240119808
Divisors of 138360240119808
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 37 42 48 49 56 58 63 64 72 74 84 87 96 98 111 112 116 126 128 144 147 148 168 174 192 196 203 222 224 232 252 256 259 261 288 294 296 333 336 343 348 384 392 406 441 444 448 464 504 512 518 522 576 588 592 609 666 672 686 696 768 777 784 812 882 888 896 928 1008 1024 1029 1036 1044 1073 1152 1176 1184 1218 1332 1344 1372 1392 1421 1536 1554 1568 1624 1764 1776 1792 1813 1827 1856 2016 2048 2058 2072 2088 2146 2304 2331 2352 2368 2436 2664 2688 2744 2784 2842 3072 3087 3108 3136 3219 3248 3528 3552 3584 3626 3654 3712 4032 4096 4116 4144 4176 4263 4292 4608 4662 4704 4736 4872 5099 5328 5376 5439 5488 5568 5684 6144 6174 6216 6272 6438 6496 7056 7104 7168 7252 7308 7424 7511 8064 8192 8232 8288 8352 8526 8584 9216 9324 9408 9472 9657 9744 9947 10198 10656 10752 10878 10976 11136 11368 12288 12348 12432 12544 12691 12789 12876 12992 14112 14208 14336 14504 14616 14848 15022 15297 16128 16317 16464 16576 16704 17052 17168 18432 18648 18816 18944 19314 19488 19894 20396 21312 21504 21756 21952 22272 22533 22736 24576 24696 24864 25088 25382 25578 25752 25984 28224 28416 28672 29008 29232 29696 29841 30044 30594 32256 32634 32928 33152 33408 34104 34336 35693 36864 37296 37632 37888 38073 38628 38976 39788 40792 42624 43008 43512 43904 44544 45066 45472 45891 49392 49728 50176 50764 51156 51504 51968 52577 56448 56832 57344 58016 58464 59392 59682 60088 61188 64512 65268 65856 66304 66816 67599 68208 68672 71386 73728 74592 75264 75776 76146 77256 77952 79576 81584 85248 86016 87024 87808 89088 89523 90132 90944 91782 98784 99456 100352 101528 102312 103008 103936 105154 107079 112896 113664 114219 116032 116928 118784 119364 120176 122376 129024 130536 131712 132608 133632 135198 136416 137344 142772 147871 149184 150528 151552 152292 154512 155904 157731 159152 163168 170496 172032 174048 175616 178176 179046 180264 181888 183564 188663 197568 198912 200704 203056 204624 206016 207872 210308 214158 225792 227328 228438 232064 233856 237568 238728 240352 244752 249851 258048 261072 263424 265216 267264 270396 272832 274688 285544 295742 298368 301056 303104 304584 309024 311808 315462 318304 321237 326336 340992 348096 351232 356352 358092 360528 363776 367128 368039 377326 395136 397824 401408 406112 409248 412032 415744 420616 428316 443613 451584 454656 456876 464128 467712 473193 477456 480704 489504 499702 516096 522144 526848 530432 534528 540792 545664 549376 565989 571088 591484 596736 602112 609168 618048 623616 630924 636608 642474 652672 681984 696192 702464 712704 716184 721056 727552 734256 736078 749553 754652 790272 795648 812224 818496 824064 831488 841232 856632 887226 903168 909312 913752 928256 935424 946386 954912 961408 979008 999404 1035097 1044288 1053696 1060864 1069056 1081584 1091328 1098752 1104117 1131978 1142176 1182968 1193472 1204224 1218336 1236096 1247232 1261848 1273216 1284948 1305344 1320641 1330839 1363968 1392384 1404928 1432368 1442112 1455104 1468512 1472156 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7639296 7691264 7832064 7923846 7995232 8280776 8354304 8429568 8652672 8730624 8790016 8832936 8994636 9055824 9137408 9244487 9315873 9463744 9547776 9746688 9888768 10094784 10185728 10279584 10442752 10493742 10565128 10646712 10942454 11139072 11458944 11536896 11640832 11748096 11777248 11885769 11992848 12074432 12421164 12644352 12995584 13095936 13185024 13249404 13459712 13583736 13706112 13991656 14195616 14491358 14620032 14852096 14966784 15142176 15278592 15382528 15664128 15740613 15847692 15990464 16413681 16561552 16708608 17305344 17461248 17665872 17989272 18111648 18274816 18488974 18631746 18927488 19095552 19493376 19777536 20189568 20371456 20559168 20885504 20987484 21130256 21293424 21737037 21884908 22278144 22917888 23073792 23496192 23554496 23771538 23985696 24148864 24842328 25288704 25991168 26191872 26370048 26498808 26919424 27167472 27412224 27733461 27983312 28391232 28982716 29240064 30284352 30557184 30765056 31328256 31481226 31695384 31980928 32827362 33123104 33417216 34610688 34922496 35331744 35978544 36223296 36549632 36977948 37263492 37854976 38298589 38986752 39555072 40379136 40742912 41118336 41771008 41974968 42260512 42586848 43474074 43769816 44556288 45835776 46147584 46992384 47108992 47543076 47971392 48297728 49241043 49684656 50719753 51982336 52383744 52997616 53838848 54334944 54824448 55466922 55966624 56782464 57965432 58480128 60568704 61114368 61530112 62656512 62962452 63390768 63961856 64711409 65211111 65654724 66246208 66834432 69221376 70663488 71957088 72446592 73099264 73955896 74526984 75709952 76597178 77973504 79110144 80758272 81485824 82236672 83200383 83949936 84521024 85173696 86948148 87539632 91671552 92295168 93984768 94217984 95086152 95942784 96595456 98482086 99369312 101439506 103964672 104767488 105995232 107677696 108669888 109648896 110933844 111933248 113564928 114895767 115930864 116960256 121137408 122228736 125313024 125924904 126781536 127923712 129422818 130422222 131309448 132492416 133668864 138442752 141326976 143914176 144893184 146198528 147911792 149053968 151419904 152159259 153194356 155947008 161516544 164473344 166400766 167899872 169042048 170347392 173896296 175079264 183343104 184590336 187969536 188435968 190172304 191885568 193190912 194134227 196964172 198738624 202879012 211990464 215355392 217339776 219297792 221867688 223866496 227129856 229791534 231861728 233920512 242274816 244457472 251849808 253563072 255847424 258845636 260844444 262618896 264984832 268090123 276885504 282653952 287828352 289786368 292397056 295823584 298107936 302839808 304318518 306388712 311894016 323033088 328946688 332801532 335799744 338084096 340694784 344687301 347792592 350158528 366686208 375939072 376871936 380344608 383771136 386381824 388268454 393928344 397477248 405758024 423980928 430710784 434679552 438595584 443735376 447732992 454259712 456477777 459583068 463723456 467841024 484549632 503699616 507126144 511694848 517691272 521688888 525237792 529969664 536180246 553771008 565307904 575656704 579572736 582402681 591647168 596215872 605679616 608637036 612777424 646066176 657893376 665603064 671599488 676168192 681389568 689374602 695585184 700317056 733372416 753743872 760689216 767542272 772763648 776536908 787856688 794954496 804270369 811516048 847961856 869359104 877191168 887470752 895465984 908519424 912955554 919166136 927446912 935682048 969099264 1007399232 1014252288 1023389696 1035382544 1043377776 1050475584 1059939328 1072360492 1130615808 1151313408 1159145472 1164805362 1183294336 1192431744 1211359232 1217274072 1225554848 1292132352 1315786752 1331206128 1343198976 1352336384 1362779136 1378749204 1391170368 1400634112 1507487744 1521378432 1535084544 1545527296 1553073816 1575713376 1589908992 1608540738 1623032096 1695923712 1738718208 1774941504 1790931968 1817038848 1825911108 1838332272 1854893824 1876630861 1938198528 2014798464 2028504576 2046779392 2070765088 2086755552 2100951168 2119878656 2144720984 2261231616 2302626816 2318290944 2329610724 2366588672 2384863488 2412811107 2434548144 2451109696 2631573504 2662412256 2686397952 2704672768 2725558272 2757498408 2782340736 2801268224 3014975488 3042756864 3070169088 3106147632 3151426752 3179817984 3217081476 3246064192 3391847424 3477436416 3549883008 3581863936 3634077696 3651822216 3676664544 3709787648 3753261722 3876397056 4029596928 4057009152 4141530176 4173511104 4201902336 4239757312 4289441968 4522463232 4605253632 4636581888 4659221448 4733177344 4769726976 4825622214 4869096288 4902219392 5324824512 5372795904 5409345536 5451116544 5514996816 5564681472 5602536448 5629892583 6085513728 6140338176 6212295264 6302853504 6359635968 6434162952 6492128384 6783694848 6954872832 7099766016 7163727872 7303644432 7353329088 7419575296 7506523444 8059193856 8114018304 8283060352 8347022208 8403804672 8479514624 8578883936 9044926464 9210507264 9318442896 9466354688 9539453952 9651244428 9738192576 9804438784 10649649024 10745591808 10818691072 10902233088 11029993632 11129362944 11205072896 11259785166 12171027456 12424590528 12605707008 12719271936 12868325904 12984256768 13567389696 13909745664 14199532032 14327455744 14607288864 14706658176 14839150592 15013046888 16118387712 16228036608 16566120704 16694044416 16807609344 16889677749 17157767872 18421014528 18636885792 18932709376 19078907904 19302488856 19476385152 19608877568 21299298048 21491183616 22059987264 22258725888 22410145792 22519570332 24342054912 24849181056 25211414016 25438543872 25736651808 25968513536 27134779392 28399064064 29214577728 29413316352 29678301184 30026093776 32236775424 32456073216 33132241408 33388088832 33615218688 33779355498 34315535744 37273771584 37865418752 38157815808 38604977712 38952770304 39217755136 42598596096 42982367232 44119974528 44517451776 44820291584 45039140664 48684109824 49698362112 50422828032 51473303616 51937027072 56798128128 58429155456 58826632704 59356602368 60052187552 64473550848 66264482816 66776177664 67230437376 67558710996 68631071488 74547543168 75730837504 76315631616 77209955424 77905540608 78435510272 85197192192 88239949056 89034903552 90078281328 97368219648 99396724224 100845656064 102946607232 103874054144 113596256256 116858310912 117653265408 120104375104 128947101696 132528965632 133552355328 134460874752 135117421992 137262142976 149095086336 154419910848 155811081216 156871020544 170394384384 176479898112 178069807104 180156562656 198793448448 201691312128 205893214464 207748108288 227192512512 233716621824 235306530816 240208750208 265057931264 267104710656 270234843984 274524285952 298190172672 308839821696 311622162432 313742041088 340788768768 352959796224 360313125312 397586896896 403382624256 411786428928 415496216576 467433243648 470613061632 480417500416 530115862528 534209421312 540469687968 549048571904 596380345344 617679643392 623244324864 681577537536 705919592448 720626250624 795173793792 823572857856 934866487296 941226123264 960835000832 1080939375936 1098097143808 1192760690688 1235359286784 1246488649728 1411839184896 1441252501248 1590347587584 1647145715712 1869732974592 1921670001664 2161878751872 2196194287616 2385521381376 2470718573568 2823678369792 2882505002496 3294291431424 3739465949184 3843340003328 4323757503744 4771042762752 4941437147136 5765010004992 6588582862848 7686680006656 8647515007488 9882874294272 11530020009984 15373360013312 17295030014976 19765748588544 23060040019968 34590060029952 46120080039936 69180120059904 138360240119808
- Sum of all divisors σ(n): 495303962400000
- Sum of proper divisors (its aliquot sum) s(n): 356943722280192
- 138360240119808 is an abundant number, because the sum of its proper divisors (356943722280192) is greater than itself. Its abundance is 218583482160384
Bases of 138360240119808
- Binary: 111110111010110100000001111011010100000000000002
- Hexadecimal: 0x7DD680F6A000
- Base-36: 1D1LTEM0W0
Squares and roots of 138360240119808
- 138360240119808 squared (1383602401198082) is 19143556046010927282193956864
- 138360240119808 cubed (1383602401198083) is 2648707011273074104147380774077780943962112
-
The
square root of 138360240119808 is 11762662.9688947561 -
The
cube root of 138360240119808 is 51721.4195060827
Scales and comparisons
How big is 138360240119808?- 138,360,240,119,808 seconds is equal to 4,399,427 years, 34 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 138,360,240,119,808 would take you about ten million, nine hundred ninety-eight thousand, five hundred sixty-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 138360240119808 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138360240119808
- 138360240119808 backwards is 808911042063831
- The number of decimal digits it has is: 15
- The sum of 138360240119808's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138360240119808 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 138360240119808 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/138360240119808/
Chicago style:
Numbermatics. 2024. "Number 138360240119808 - Facts about the integer". https://numbermatics.com/n/138360240119808/
The information we have on file for 138360240119808 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 138360240119808, math, Factors of 138360240119808, curriculum, school, college, exams, university, Prime factorization of 138360240119808, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred sixty billion, two hundred forty million, one hundred nineteen thousand, eight hundred eight.