138213138375875584
138,213,138,375,875,584 is an even composite number composed of five prime numbers multiplied together.
What does the number 138213138375875584 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1100 divisors.
138213138375875584 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred divisors.
Prime factorization of 138213138375875584:
210 × 74 × 29 × 314 × 2099
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 29 × 31 × 31 × 31 × 31 × 2099)See below for interesting mathematical facts about the number 138213138375875584 from the Numbermatics database.
Names of 138213138375875584
- Cardinal: 138213138375875584 can be written as One hundred thirty-eight quadrillion, two hundred thirteen trillion, one hundred thirty-eight billion, three hundred seventy-five million, eight hundred seventy-five thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38213138375875584 × 1017
Factors of 138213138375875584
Divisors of 138213138375875584
- Number of divisors d(n): 1100
-
Complete list of divisors:
1 2 4 7 8 14 16 28 29 31 32 49 56 58 62 64 98 112 116 124 128 196 203 217 224 232 248 256 343 392 406 434 448 464 496 512 686 784 812 868 896 899 928 961 992 1024 1372 1421 1519 1568 1624 1736 1792 1798 1856 1922 1984 2099 2401 2744 2842 3038 3136 3248 3472 3584 3596 3712 3844 3968 4198 4802 5488 5684 6076 6272 6293 6496 6727 6944 7168 7192 7424 7688 7936 8396 9604 9947 10633 10976 11368 12152 12544 12586 12992 13454 13888 14384 14693 14848 15376 15872 16792 19208 19894 21266 21952 22736 24304 25088 25172 25984 26908 27776 27869 28768 29386 29696 29791 30752 31744 33584 38416 39788 42532 43904 44051 45472 47089 48608 50176 50344 51968 53816 55552 55738 57536 58772 59582 60871 61504 65069 67168 69629 74431 76832 79576 85064 87808 88102 90944 94178 97216 100688 102851 103936 107632 111104 111476 115072 117544 119164 121742 123008 130138 134336 139258 148862 153664 159152 170128 175616 176204 181888 188356 194432 195083 201376 205702 207872 208537 215264 222208 222952 230144 235088 238328 243484 246016 260276 268672 278516 297724 307328 308357 318304 329623 340256 351232 352408 363776 376712 388864 390166 402752 411404 417074 426097 430528 445904 455483 460288 470176 476656 486968 492032 520552 537344 557032 595448 614656 616714 636608 659246 680512 704816 719957 727552 753424 777728 780332 805504 822808 834148 852194 861056 863939 891808 910966 920576 923521 940352 953312 973936 984064 1041104 1074688 1114064 1190896 1229312 1233428 1273216 1318492 1361024 1365581 1409632 1439914 1455104 1459759 1506848 1555456 1560664 1611008 1645616 1668296 1704388 1722112 1727878 1783616 1821932 1847042 1880704 1887001 1906624 1947872 2017139 2082208 2149376 2158499 2228128 2307361 2381792 2458624 2466856 2546432 2636984 2722048 2731162 2819264 2879828 2919518 2982679 3013696 3121328 3188381 3222016 3291232 3336592 3408776 3444224 3455756 3567232 3643864 3694084 3761408 3774002 3813248 3895744 4034278 4164416 4316998 4456256 4614722 4763584 4933712 5039699 5092864 5273968 5444096 5462324 5638528 5759656 5839036 5965358 6027392 6047573 6242656 6376762 6444032 6464647 6582464 6673184 6817552 6888448 6911512 7134464 7287728 7388168 7522816 7548004 7626496 7791488 8068556 8328832 8633996 8912512 9229444 9527168 9559067 9867424 10079398 10185728 10218313 10547936 10888192 10924648 11277056 11519312 11678072 11930716 12054784 12095146 12485312 12753524 12929294 13164928 13209007 13346368 13635104 13823024 14119973 14268928 14575456 14776336 15045632 15096008 15252992 15582976 16137112 16657664 17267992 17825024 18458888 19054336 19118134 19734848 20158796 20436626 20878753 21095872 21849296 22318667 22554112 23038624 23356144 23861432 24109568 24190292 24970624 25507048 25858588 26329856 26418014 26692736 26782109 27270208 27646048 28239946 28537856 29150912 29552672 30192016 30505984 31165952 32274224 33315328 34535984 35650048 36917776 38108672 38236268 39469696 40317592 40873252 41757506 42191744 42333011 43698592 44637334 45108224 45252529 46077248 46712288 47722864 48219136 48380584 49941248 51014096 51717176 52659712 52836028 53385472 53564218 54540416 55292096 56479892 58301824 58497031 59105344 60384032 62331904 62531309 64548448 66630656 66913469 69071968 71300096 71528191 73835552 76217344 76472536 78939392 80635184 81746504 83515012 84383488 84666022 87397184 89274668 90505058 92154496 92463049 93424576 95445728 96761168 98839811 99882496 102028192 103434352 105319424 105672056 106770944 107128436 109080832 110584192 112959784 116603648 116994062 118210688 120768064 125062618 129096896 133826938 138143936 143056382 146151271 147671104 152945072 156230669 157878784 161270368 163493008 167030024 168766976 169332044 174794368 178549336 181010116 184308992 184926098 186849152 187474763 190891456 193522336 197679622 199764992 204056384 206868704 211344112 213541888 214256872 218161664 221168384 225919568 233207296 233988124 236421376 241536128 250125236 258193792 267653876 276287872 286112764 292302542 295342208 296331077 305890144 312461338 315757568 316767703 322540736 326986016 334060048 337533952 338664088 349588736 357098672 362020232 368617984 369852196 373698304 374949526 381782912 387044672 395359244 408112768 409479217 413737408 422688224 428513744 436323328 437719163 442336768 451839136 466414592 467976248 472842752 483072256 500250472 516387584 535307752 552575744 572225528 584605084 590684416 592662154 611780288 624922676 633535406 645081472 647241343 653972032 668120096 677328176 691878677 699177472 714197344 724040464 737235968 739704392 747396608 749899052 763565824 774089344 790718488 816225536 818958434 827474816 845376448 857027488 875438326 884673536 903678272 935952496 945685504 966144512 1000500944 1032775168 1070615504 1105151488 1144451056 1169210168 1181368832 1185324308 1223560576 1249845352 1267070812 1290162944 1294482686 1307944064 1312323341 1336240192 1354656352 1383757354 1398354944 1428394688 1448080928 1479408784 1494793216 1499798104 1527131648 1548178688 1581436976 1632451072 1637916868 1654949632 1690752896 1714054976 1750876652 1807356544 1813407961 1871904992 1932289024 1938470579 2001001888 2065550336 2074317539 2141231008 2210302976 2217373921 2288902112 2338420336 2362737664 2370648616 2447121152 2499690704 2534141624 2580325888 2588965372 2615888128 2624646682 2672480384 2709312704 2767514708 2856789376 2866354519 2896161856 2958817568 2999596208 3054263296 3064034141 3096357376 3162873952 3264902144 3275833736 3309899264 3381505792 3428109952 3501753304 3614713088 3626815922 3743809984 3876941158 4002003776 4148635078 4282462016 4434747842 4530689401 4577804224 4676840672 4741297232 4843150739 4894242304 4999381408 5068283248 5160651776 5177930744 5231776256 5249293364 5344960768 5418625408 5535029416 5713578752 5732709038 5792323712 5917635136 5999192416 6128068282 6192714752 6325747904 6551667472 6619798528 6763011584 6856219904 7003506608 7229426176 7253631844 7487619968 7753882316 8004007552 8297270156 8564924032 8869495684 9061378802 9155608448 9186263387 9353681344 9482594464 9686301478 9788484608 9998762816 10136566496 10355861488 10463552512 10498586728 10689921536 10837250816 11070058832 11427157504 11465418076 11584647424 11835270272 11998384832 12256136564 12651495808 12693855727 13103334944 13526023168 13569294053 13712439808 14007013216 14458852352 14507263688 14975239936 15507764632 16008015104 16594540312 17129848064 17738991368 18122757604 18311216896 18372526774 18707362688 18965188928 19372602956 19997525632 20064481633 20273132992 20711722976 20997173456 21379843072 21448238987 21674501632 22140117664 22854315008 22930836152 23169294848 23670540544 23996769664 24512273128 25302991616 25387711454 26206669888 27138588106 27424879616 28014026432 29014527376 29950479872 31015529264 32016030208 33189080624 34259696128 35477982736 36245515208 36622433792 36745053548 37414725376 37930377856 38745205912 39995051264 40128963266 40546265984 41423445952 41994346912 42896477974 43349003264 44280235328 45861672304 46338589696 47341081088 47993539328 49024546256 50605983232 50775422908 52413339776 54277176212 56028052864 56215646791 58029054752 59900959744 62031058528 64032060416 64303843709 66378161248 68519392256 70955965472 72491030416 73244867584 73490107096 74829450752 75860755712 77490411824 79990102528 80257926532 81092531968 82846891904 83988693824 85792955948 88560470656 88856990089 91723344608 94682162176 94985058371 95987078656 98049092512 101211966464 101550845816 104826679552 108554352424 112056105728 112431293582 116058109504 124062117056 128607687418 132756322496 140451371431 141911930944 144982060832 146980214192 149658901504 150137672909 151721511424 154980823648 159980205056 160515853064 162185063936 165693783808 167977387648 171585911896 177120941312 177713980178 183446689216 189970116742 191974157312 196098185024 203101691632 209653359104 217108704848 224112211456 224862587164 232116219008 248124234112 257215374836 265512644992 280902742862 283823861888 289964121664 293960428384 300275345818 303443022848 309961647296 321031706128 324370127872 331387567616 335954775296 343171823792 354241882624 355427960356 366893378432 379940233484 392196370048 393509527537 406203383264 419306718208 434217409696 448224422912 449725174328 464232438016 496248468224 514430749672 531025289984 561805485724 567647723776 579928243328 587920856768 600550691636 619923294592 621998930623 642063412256 662775135232 664895408597 671909550592 686343647584 708483765248 710855920712 733786756864 759880466968 784392740096 787019055074 812406766528 868434819392 899450348656 928464876032 992496936448 1028861499344 1062050579968 1123610971448 1135295447552 1159856486656 1175841713536 1201101383272 1239846589184 1243997861246 1284126824512 1329790817194 1343819101184 1372687295168 1421711841424 1467573513728 1519760933936 1568785480192 1574038110148 1624813533056 1736869638784 1798900697312 1856929752064 1984993872896 2057722998688 2124101159936 2247221942896 2270590895104 2319712973312 2351683427072 2402202766544 2479693178368 2487995722492 2568253649024 2659581634388 2745374590336 2754566692759 2843423682848 2935147027456 3039521867872 3137570960384 3148076220296 3249627066112 3473739277568 3597801394624 4115445997376 4353992514361 4494443885792 4639425946624 4654267860179 4703366854144 4804405533088 4959386356736 4975991444984 5136507298048 5319163268776 5490749180672 5509133385518 5686847365696 6079043735744 6296152440592 6499254132224 6947478555136 7195602789248 8230891994752 8707985028722 8988887771584 9308535720358 9406733708288 9608811066176 9951982889968 10273014596096 10638326537552 10981498361344 11018266771036 11373694731392 12158087471488 12592304881184 12998508264448 13894957110272 14391205578496 16461783989504 17415970057444 17977775543168 18617071440716 19217622132352 19281966849313 19903965779936 20546029192192 21276653075104 21962996722688 22036533542072 22747389462784 24316174942976 25184609762368 28782411156992 32923567979008 34831940114888 35955551086336 37234142881432 38435244264704 38563933698626 39807931559872 42553306150208 44073067084144 45494778925568 48632349885952 50369219524736 57564822313984 65847135958016 69663880229776 71911102172672 74468285762864 76870488529408 77127867397252 79615863119744 85106612300416 88146134168288 90989557851136 97264699771904 100738439049472 134973767945191 139327760459552 143822204345344 148936571525728 153740977058816 154255734794504 159231726239488 170213224600832 176292268336576 201476878098944 269947535890382 278655520919104 297873143051456 308511469589008 318463452478976 340426449201664 352584536673152 402953756197888 539895071780764 557311041838208 595746286102912 617022939178016 636926904957952 680852898403328 705169073346304 1079790143561528 1114622083676416 1191492572205824 1234045878356032 1410338146692608 2159580287123056 2229244167352832 2382985144411648 2468091756712064 2820676293385216 4319160574246112 4458488334705664 4765970288823296 4936183513424128 8638321148492224 9872367026848256 17276642296984448 19744734053696512 34553284593968896 69106569187937792 138213138375875584
- Sum of all divisors σ(n): 344713824021105000
- Sum of proper divisors (its aliquot sum) s(n): 206500685645229416
- 138213138375875584 is an abundant number, because the sum of its proper divisors (206500685645229416) is greater than itself. Its abundance is 68287547269353832
Bases of 138213138375875584
- Binary: 1111010110000100000011101111110000010111110011100000000002
- Hexadecimal: 0x1EB081DF82F9C00
- Base-36: 11SWGV7ZII9S
Squares and roots of 138213138375875584
- 138213138375875584 squared (1382131383758755842) is 19102871619708932065727638647341056
- 138213138375875584 cubed (1382131383758755843) is 2640267838551417173568159941000785267504017471176704
-
The
square root of 138213138375875584 is 371770276.3480098123 -
The
cube root of 138213138375875584 is 517030.8329203705
Scales and comparisons
How big is 138213138375875584?- 138,213,138,375,875,584 seconds is equal to 4,394,750,279 years, 2 weeks, 2 days, 15 hours, 13 minutes, 4 seconds.
-
To count from 1 to 138,213,138,375,875,584 would take you about thirteen billion, one hundred eighty-four million, two hundred fifty thousand, eight hundred thirty-seven 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 138213138375875584 cubic inches would be around 43085.9 feet tall.
Recreational maths with 138213138375875584
- 138213138375875584 backwards is 485578573831312831
- The number of decimal digits it has is: 18
- The sum of 138213138375875584's digits is 82
- More coming soon!
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"Number 138213138375875584 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138213138375875584 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138213138375875584/
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The information we have on file for 138213138375875584 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 138213138375875584, math, Factors of 138213138375875584, curriculum, school, college, exams, university, Prime factorization of 138213138375875584, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred thirteen trillion, one hundred thirty-eight billion, three hundred seventy-five million, eight hundred seventy-five thousand, five hundred eighty-four.