6442137686409216
6,442,137,686,409,216 is an even composite number composed of five prime numbers multiplied together.
6442137686409216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 6442137686409216:
215 × 3 × 112 × 193 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 19 × 19 × 19 × 281 × 281)See below for interesting mathematical facts about the number 6442137686409216 from the Numbermatics database.
Names of 6442137686409216
- Cardinal: 6442137686409216 can be written as Six quadrillion, four hundred forty-two trillion, one hundred thirty-seven billion, six hundred eighty-six million, four hundred nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 6.442137686409216 × 1015
Factors of 6442137686409216
Divisors of 6442137686409216
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 121 128 132 152 176 192 209 228 242 256 264 281 304 352 361 363 384 418 456 484 512 528 562 608 627 704 722 726 768 836 843 912 968 1024 1056 1083 1124 1216 1254 1408 1444 1452 1536 1672 1686 1824 1936 2048 2112 2166 2248 2299 2432 2508 2816 2888 2904 3072 3091 3344 3372 3648 3872 3971 4096 4224 4332 4496 4598 4864 5016 5339 5632 5776 5808 6144 6182 6688 6744 6859 6897 7296 7744 7942 8192 8448 8664 8992 9196 9273 9728 10032 10678 11264 11552 11616 11913 12288 12364 13376 13488 13718 13794 14592 15488 15884 16017 16384 16896 17328 17984 18392 18546 19456 20064 20577 21356 22528 23104 23232 23826 24576 24728 26752 26976 27436 27588 29184 30976 31768 32034 32768 33792 34001 34656 35968 36784 37092 38912 40128 41154 42712 43681 45056 46208 46464 47652 49152 49456 53504 53952 54872 55176 58368 58729 61952 63536 64068 67584 68002 69312 71936 73568 74184 75449 77824 78961 80256 82308 85424 87362 90112 92416 92928 95304 98304 98912 101441 102003 107008 107904 109744 110352 116736 117458 123904 127072 128136 131043 135168 136004 138624 143872 147136 148368 150898 155648 157922 160512 164616 170848 174724 176187 180224 184832 185856 190608 197824 202882 204006 214016 215808 219488 220704 226347 233472 234916 236883 247808 254144 256272 262086 270336 272008 277248 287744 294272 296736 301796 304323 311296 315844 321024 329232 341696 349448 352374 360448 369664 371712 381216 395648 405764 408012 428032 431616 438976 441408 452694 466944 469832 473766 495616 508288 512544 524172 540672 544016 554496 575488 588544 593472 603592 608646 622592 631688 642048 646019 658464 683392 698896 704748 739328 743424 762432 791296 811528 816024 829939 856064 863232 868571 877952 882816 905388 933888 939664 947532 991232 1016576 1025088 1048344 1081344 1088032 1108992 1115851 1150976 1177088 1186944 1207184 1217292 1263376 1284096 1292038 1316928 1366784 1397792 1409496 1478656 1486848 1500259 1524864 1582592 1623056 1632048 1659878 1712128 1726464 1737142 1755904 1765632 1810776 1867776 1879328 1895064 1927379 1938057 1982464 2033152 2050176 2096688 2176064 2217984 2231702 2301952 2354176 2373888 2414368 2434584 2489817 2526752 2568192 2584076 2605713 2633856 2733568 2795584 2818992 2957312 2973696 3000518 3049728 3165184 3246112 3264096 3319756 3347553 3424256 3452928 3474284 3511808 3531264 3621552 3758656 3790128 3854758 3876114 3964928 4066304 4100352 4193376 4352128 4435968 4463404 4500777 4603904 4708352 4747776 4828736 4869168 4979634 5053504 5136384 5168152 5211426 5267712 5467136 5591168 5637984 5782137 5914624 5947392 6001036 6099456 6330368 6492224 6528192 6639512 6695106 6848512 6905856 6948568 7023616 7062528 7243104 7517312 7580256 7709516 7752228 8132608 8200704 8386752 8704256 8871936 8926808 9001554 9207808 9416704 9495552 9554281 9657472 9738336 9959268 10107008 10272768 10336304 10422852 10535424 10934272 11182336 11275968 11564274 11829248 11894784 12002072 12198912 12274361 12660736 12984448 13056384 13279024 13390212 13811712 13897136 14047232 14125056 14486208 15034624 15160512 15419032 15504456 16265216 16401408 16502849 16773504 17408512 17743872 17853616 18003108 18833408 18991104 19108562 19314944 19476672 19918536 20214016 20545536 20672608 20845704 21070848 21201169 21868544 22364672 22551936 23128548 24004144 24397824 24548722 25321472 25968896 26112768 26558048 26780424 27623424 27794272 28094464 28250112 28504921 28662843 28972416 30069248 30321024 30838064 31008912 32530432 32802816 33005698 33547008 34817024 35487744 35707232 36006216 36823083 37666816 37982208 38217124 38629888 38953344 39837072 40428032 41345216 41691408 42141696 42402338 43737088 44729344 45103872 46257096 48008288 48795648 49097444 49508547 50642944 51937792 52225536 53116096 53560848 55588544 56188928 56500224 57009842 57325686 57944832 60138496 60642048 61676128 62017824 63603507 65060864 65605632 66011396 67094016 69634048 71414464 72012432 73646166 75333632 75964416 76434248 77259776 77906688 79674144 80856064 82690432 83382816 84283392 84804676 85514763 87474176 89458688 90207744 92514192 96016576 97591296 98194888 99017094 101285888 103875584 104451072 106232192 107121696 111177088 112377856 113000448 114019684 114651372 115889664 120276992 121284096 123352256 124035648 127207014 130121728 131211264 132022792 134188032 139268096 142828928 144024864 147292332 151928832 152868496 154519552 155813376 159348288 161712128 165380864 166765632 168566784 169609352 171029526 174948352 178917376 180415488 181531339 185028384 192033152 195182592 196389776 198034188 207751168 208902144 212464384 214243392 222354176 224755712 226000896 228039368 229302744 231779328 233212859 240553984 242568192 246704512 248071296 254414028 262422528 264045584 268376064 278536192 285657856 288049728 294584664 303857664 305736992 309039104 311626752 313554131 318696576 323424256 330761728 333531264 337133568 339218704 342059052 357834752 360830976 363062678 370056768 384066304 390365184 392779552 396068376 415502336 417804288 424928768 428486784 444708352 456078736 458605488 463558656 466425718 481107968 485136384 493409024 496142592 508828056 524845056 528091168 536752128 541593499 544594017 557072384 571315712 576099456 589169328 611473984 618078208 623253504 627108262 637393152 646848512 661523456 667062528 674267136 678437408 684118104 699638577 715669504 721661952 726125356 740113536 768132608 785559104 792136752 831004672 835608576 849857536 856973568 889416704 912157472 917210976 927117312 932851436 940662393 962215936 970272768 986818048 992285184 1017656112 1056182336 1073504256 1083186998 1089188034 1114144768 1142631424 1152198912 1178338656 1222947968 1236156416 1246507008 1254216524 1274786304 1293697024 1323046912 1334125056 1356874816 1368236208 1399277154 1431339008 1443323904 1452250712 1480227072 1536265216 1571118208 1584273504 1624780497 1662009344 1671217152 1699715072 1713947136 1778833408 1824314944 1834421952 1854234624 1865702872 1881324786 1924431872 1940545536 1973636096 1984570368 2035312224 2112364672 2147008512 2166373996 2178376068 2285262848 2304397824 2356677312 2445895936 2472312832 2493014016 2508433048 2549572608 2587394048 2646093824 2668250112 2713749632 2736472416 2798554308 2886647808 2904501424 2960454144 3072530432 3142236416 3168547008 3249560994 3324018688 3342434304 3399430144 3427894272 3449095441 3557666816 3648629888 3668843904 3708469248 3731405744 3762649572 3881091072 3947272192 3969140736 4070624448 4224729344 4294017024 4332747992 4356752136 4570525696 4608795648 4713354624 4891791872 4986028032 5016866096 5099145216 5292187648 5336500224 5427499264 5472944832 5597108616 5773295616 5809002848 5920908288 5957528489 6145060864 6284472832 6337094016 6499121988 6798860288 6855788544 6898190882 7115333632 7297259776 7337687808 7416938496 7462811488 7525299144 7762182144 7894544384 7938281472 8141248896 8449458688 8665495984 8713504272 9141051392 9217591296 9426709248 9783583744 9972056064 10033732192 10198290432 10347286323 10584375296 10673000448 10854998528 10945889664 11194217232 11618005696 11841816576 11915056978 12290121728 12568945664 12674188032 12998243976 13597720576 13711577088 13796381764 14230667264 14594519552 14675375616 14925622976 15050598288 15789088768 15876562944 16282497792 16898917376 17330991968 17427008544 17872585467 18282102784 18435182592 18853418496 19567167488 20067464384 20396580864 20694572646 21168750592 21346000896 21709997056 21891779328 22388434464 23236011392 23683633152 23830113956 24580243456 25137891328 25348376064 25996487952 27195441152 27423154176 27592763528 28461334528 29189039104 29350751232 29851245952 30101196576 31578177536 31753125888 32564995584 33797834752 34661983936 34854017088 35745170934 36564205568 36870365184 37706836992 39134334976 40134928768 40793161728 41389145292 42692001792 43419994112 43783558656 44776868928 46472022784 47367266304 47660227912 49160486912 50275782656 50696752128 51992975904 54846308352 55185527056 58378078208 58701502464 59702491904 60202393152 63156355072 63506251776 65129991168 65532813379 67595669504 69323967872 69708034176 71490341868 73740730368 75413673984 78268669952 80269857536 81586323456 82778290584 85384003584 86839988224 87567117312 89553737856 92944045568 94734532608 95320455824 100551565312 101393504256 103985951808 109692616704 110371054112 116756156416 117403004928 119404983808 120404786304 130259982336 131065626758 135191339008 138647935744 139416068352 142980683736 147481460736 150827347968 156537339904 160539715072 165556581168 173679976448 175134234624 179107475712 185888091136 189469065216 190640911648 196598440137 201103130624 202787008512 207971903616 220742108224 233512312832 234806009856 238809967616 240809572608 260519964672 262131253516 270382678016 277295871488 278832136704 285961367472 301654695936 313074679808 321079430144 331113162336 347359952896 350268469248 358214951424 371776182272 381281823296 393196880274 402206261248 405574017024 415943807232 441484216448 467024625664 469612019712 477619935232 481619145216 521039929344 524262507032 540765356032 554591742976 557664273408 571922734944 603309391872 642158860288 662226324672 694719905792 700536938496 716429902848 743552364544 762563646592 786393760548 811148034048 831887614464 882968432896 934049251328 939224039424 955239870464 963238290432 1042079858688 1048525014064 1109183485952 1115328546816 1143845469888 1206618783744 1284317720576 1324452649344 1401073876992 1432859805696 1487104729088 1525127293184 1572787521096 1622296068096 1663775228928 1765936865792 1910479740928 1926476580864 2084159717376 2097050028128 2218366971904 2230657093632 2287690939776 2568635441152 2648905298688 2802147753984 2865719611392 2974209458176 3050254586368 3145575042192 3327550457856 3531873731584 3820959481856 3852953161728 4194100056256 4436733943808 4461314187264 4575381879552 5137270882304 5297810597376 5731439222784 5948418916352 6100509172736 6291150084384 6655100915712 7063747463168 7641918963712 7705906323456 8388200112512 8873467887616 8922628374528 9150763759104 10274541764608 10595621194752 11462878445568 12201018345472 12582300168768 13310201831424 14127494926336 15411812646912 16776400225024 17746935775232 17845256749056 18301527518208 21191242389504 22925756891136 24402036690944 25164600337536 26620403662848 28254989852672 30823625293824 33552800450048 36603055036416 42382484779008 48804073381888 50329200675072 53240807325696 56509979705344 67105600900096 73206110072832 84764969558016 97608146763776 100658401350144 113019959410688 134211201800192 146412220145664 169529939116032 195216293527552 201316802700288 268422403600384 292824440291328 339059878232064 402633605400576 536844807200768 585648880582656 805267210801152 1073689614401536 1610534421602304 2147379228803072 3221068843204608 6442137686409216
- Sum of all divisors σ(n): 20002506078458400
- Sum of proper divisors (its aliquot sum) s(n): 13560368392049184
- 6442137686409216 is an abundant number, because the sum of its proper divisors (13560368392049184) is greater than itself. Its abundance is 7118230705639968
Bases of 6442137686409216
- Binary: 101101110001100010111000100000110010010000000000000002
- Hexadecimal: 0x16E31710648000
- Base-36: 1RFJP73F6YO
Squares and roots of 6442137686409216
- 6442137686409216 squared (64421376864092162) is 41501137970653886226795809734656
- 6442137686409216 cubed (64421376864092163) is 267356044949617892199796729624697551922392989696
-
The
square root of 6442137686409216 is 80262928.4689340003 -
The
cube root of 6442137686409216 is 186070.1327849199
Scales and comparisons
How big is 6442137686409216?- 6,442,137,686,409,216 seconds is equal to 204,840,051 years, 30 weeks, 3 days, 21 hours, 13 minutes, 36 seconds.
-
To count from 1 to 6,442,137,686,409,216 would take you about six hundred fourteen million, five hundred twenty thousand, one hundred fifty-four 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 6442137686409216 cubic inches would be around 15505.8 feet tall.
Recreational maths with 6442137686409216
- 6442137686409216 backwards is 6129046867312446
- The number of decimal digits it has is: 16
- The sum of 6442137686409216's digits is 69
- More coming soon!
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The information we have on file for 6442137686409216 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 6442137686409216, math, Factors of 6442137686409216, curriculum, school, college, exams, university, Prime factorization of 6442137686409216, STEM, science, technology, engineering, physics, economics, calculator, six quadrillion, four hundred forty-two trillion, one hundred thirty-seven billion, six hundred eighty-six million, four hundred nine thousand, two hundred sixteen.