342013378263156736000
342,013,378,263,156,736,000 is an even composite number composed of five prime numbers multiplied together.
342013378263156736000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 342013378263156736000:
214 × 53 × 173 × 3312 × 5572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 17 × 331 × 331 × 557 × 557)See below for interesting mathematical facts about the number 342013378263156736000 from the Numbermatics database.
Names of 342013378263156736000
- Cardinal: 342013378263156736000 can be written as Three hundred forty-two quintillion, thirteen quadrillion, three hundred seventy-eight trillion, two hundred sixty-three billion, one hundred fifty-six million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 3.42013378263156736 × 1020
Factors of 342013378263156736000
Divisors of 342013378263156736000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 289 320 331 340 400 425 500 512 544 557 578 640 662 680 800 850 1000 1024 1088 1114 1156 1280 1324 1360 1445 1600 1655 1700 2000 2048 2125 2176 2228 2312 2560 2648 2720 2785 2890 3200 3310 3400 4000 4096 4250 4352 4456 4624 4913 5120 5296 5440 5570 5627 5780 6400 6620 6800 7225 8000 8192 8275 8500 8704 8912 9248 9469 9826 10240 10592 10880 11140 11254 11560 12800 13240 13600 13925 14450 16000 16384 16550 17000 17408 17824 18496 18938 19652 20480 21184 21760 22280 22508 23120 24565 25600 26480 27200 27850 28135 28900 32000 33100 34000 34816 35648 36125 36992 37876 39304 40960 41375 42368 43520 44560 45016 46240 47345 49130 51200 52960 54400 55700 56270 57800 64000 66200 68000 69625 69632 71296 72250 73984 75752 78608 81920 82750 84736 87040 89120 90032 92480 94690 95659 98260 102400 105920 108800 109561 111400 112540 115600 122825 128000 132400 136000 139250 139264 140675 142592 144500 147968 151504 157216 160973 165500 169472 174080 178240 180064 184367 184960 189380 191318 196520 204800 211840 217600 219122 222800 225080 231200 236725 245650 256000 264800 272000 278500 278528 281350 285184 289000 295936 303008 310249 314432 321946 331000 338944 348160 356480 360128 368734 369920 378760 382636 393040 409600 423680 435200 438244 445600 450160 462400 473450 478295 491300 512000 529600 544000 547805 557000 562700 570368 578000 591872 606016 614125 620498 628864 643892 662000 677888 696320 703375 712960 720256 737468 739840 757520 765272 786080 804865 847360 870400 876488 891200 900320 921835 924800 946900 956590 982600 1024000 1059200 1088000 1095610 1114000 1125400 1140736 1156000 1183625 1183744 1212032 1228250 1240996 1257728 1287784 1324000 1355776 1392640 1406750 1425920 1440512 1474936 1479680 1515040 1530544 1551245 1572160 1609730 1626203 1694720 1740800 1752976 1782400 1800640 1843670 1849600 1862537 1893800 1913180 1965200 2048000 2118400 2176000 2191220 2228000 2250800 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195104427136000 196469082182420 201811141818800 210314074112000 212466300723200 217543620409600 220476699852800 223458703744000 225745444518400 231140096685200 231883538176000 237424872728000 239854534800800 243123069673472 245586352728025 252263927273500 258318261528064 265582875904000 271929525512000 275595874816000 278455834124288 282181805648000 288925120856500 288954168983552 295859323757056 299818168501000 303903837091840 307013804545024 312167083417600 314350531491872 322897826910080 333997439710114 348069792655360 357533925990400 361192711229440 369824154696320 371013661081600 379879796364800 383767255681280 390208854272000 392938164364840 403622283637600 424932601446400 435087240819200 446917407488000 451490889036800 462280193370400 463767076352000 474849745456000 479709069601600 486246139346944 491172705456050 504527854547000 516636523056128 531165751808000 543859051024000 551191749632000 556911668248576 564363611296000 577850241713000 591718647514112 599636337002000 607807674183680 614027609090048 624334166835200 628701062983744 645795653820160 667994879420228 696139585310720 715067851980800 722385422458880 739648309392640 759759592729600 767534511362560 780417708544000 785876328729680 807244567275200 834993599275285 870174481638400 893834814976000 902981778073600 924560386740800 927534152704000 949699490912000 959418139203200 982345410912100 1009055709094000 1033273046112256 1062331503616000 1087718102048000 1102383499264000 1128727222592000 1155700483426000 1183437295028224 1199272674004000 1215615348367360 1227931763640125 1228055218180096 1257402125967488 1291591307640320 1335989758840456 1392279170621440 1444770844917760 1479296618785280 1519519185459200 1535069022725120 1560835417088000 1571752657459360 1614489134550400 1669987198550570 1740348963276800 1787669629952000 1805963556147200 1849120773481600 1855068305408000 1899398981824000 1918836278406400 1964690821824200 2018111418188000 2066546092224512 2124663007232000 2175436204096000 2257454445184000 2311400966852000 2366874590056448 2398545348008000 2431230696734720 2455863527280250 2456110436360192 2514804251934976 2583182615280640 2671979517680912 2784558341242880 2958593237570560 3039038370918400 3070138045450240 3121670834176000 3143505314918720 3228978269100800 3339974397101140 3480697926553600 3575339259904000 3611927112294400 3698241546963200 3798797963648000 3837672556812800 3929381643648400 4036222836376000 4133092184449024 4174967996376425 4350872408192000 4514908890368000 4622801933704000 4733749180112896 4797090696016000 4911727054560500 4912220872720384 5029608503869952 5166365230561280 5343959035361824 5917186475141120 6078076741836800 6140276090900480 6287010629837440 6457956538201600 6679948794202280 6961395853107200 7223854224588800 7396483093926400 7597595927296000 7675345113625600 7858763287296800 8072445672752000 8266184368898048 8349935992752850 8701744816384000 9029817780736000 9245603867408000 9467498360225792 9594181392032000 9823454109121000 10059217007739904 10332730461122560 10687918070723648 11834372950282240 12156153483673600 12280552181800960 12574021259674880 12915913076403200 13359897588404560 13922791706214400 14792966187852800 15195191854592000 15350690227251200 15717526574593600 16144891345504000 16699871985505700 17403489632768000 18059635561472000 18491207734816000 19188362784064000 19646908218242000 20118434015479808 20665460922245120 20874839981882125 21375836141447296 23668745900564480 24561104363601920 25148042519349760 25831826152806400 26719795176809120 29585932375705600 30390383709184000 30701380454502400 31435053149187200 32289782691008000 33399743971011400 34806979265536000 36119271122944000 36982415469632000 38376725568128000 39293816436484000 40236868030959616 41330921844490240 41749679963764250 42751672282894592 47337491801128960 50296085038699520 51663652305612800 53439590353618240 59171864751411200 60780767418368000 61402760909004800 62870106298374400 64579565382016000 66799487942022800 69613958531072000 73964830939264000 76753451136256000 78587632872968000 80473736061919232 83499359927528500 85503344565789184 100592170077399040 103327304611225600 106879180707236480 118343729502822400 122805521818009600 125740212596748800 129159130764032000 133598975884045600 147929661878528000 153506902272512000 157175265745936000 160947472123838464 166998719855057000 171006689131578368 201184340154798080 206654609222451200 213758361414472960 236687459005644800 251480425193497600 258318261528064000 267197951768091200 295859323757056000 307013804545024000 314350531491872000 333997439710114000 342013378263156736 402368680309596160 427516722828945920 502960850386995200 516636523056128000 534395903536182400 591718647514112000 614027609090048000 628701062983744000 667994879420228000 684026756526313472 804737360619192320 855033445657891840 1005921700773990400 1033273046112256000 1068791807072364800 1183437295028224000 1257402125967488000 1335989758840456000 1368053513052626944 1710066891315783680 2011843401547980800 2137583614144729600 2514804251934976000 2671979517680912000 2736107026105253888 3420133782631567360 4023686803095961600 4275167228289459200 5029608503869952000 5343959035361824000 6840267565263134720 8550334456578918400 10059217007739904000 10687918070723648000 13680535130526269440 17100668913157836800 20118434015479808000 21375836141447296000 34201337826315673600 42751672282894592000 68402675652631347200 85503344565789184000 171006689131578368000 342013378263156736000
- Sum of all divisors σ(n): 911365540252142779440
- Sum of proper divisors (its aliquot sum) s(n): 569352161988986043440
- 342013378263156736000 is an abundant number, because the sum of its proper divisors (569352161988986043440) is greater than itself. Its abundance is 227338783725829307440
Bases of 342013378263156736000
- Binary: 1001010001010011000111001101101110111001111101100001101000000000000002
- Hexadecimal: 0x128A639B773EC34000
- Base-36: 206GGO64HOIZGG
Squares and roots of 342013378263156736000
- 342013378263156736000 squared (3420133782631567360002) is 116973150910977132514879883702173696000000
- 342013378263156736000 cubed (3420133782631567360003) is 40006382509149338965535873052482833338828713944416256000000000
-
The
square root of 342013378263156736000 is 18493603712.1799691709 -
The
cube root of 342013378263156736000 is 6993281.8419031237
Scales and comparisons
How big is 342013378263156736000?- 342,013,378,263,156,736,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 342,013,378,263,156,736,000 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 342013378263156736000 cubic inches would be around 582773.5 feet tall.
Recreational maths with 342013378263156736000
- 342013378263156736000 backwards is 000637651362873310243
- The number of decimal digits it has is: 21
- The sum of 342013378263156736000's digits is 70
- More coming soon!
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"Number 342013378263156736000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 342013378263156736000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/342013378263156736000/
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Numbermatics. 2024. "Number 342013378263156736000 - Facts about the integer". https://numbermatics.com/n/342013378263156736000/
The information we have on file for 342013378263156736000 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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