12829480844926693104000
12,829,480,844,926,693,104,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 12829480844926693104000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1920 divisors.
12829480844926693104000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 12829480844926693104000:
27 × 35 × 53 × 539
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 53 × 53 × 53 × 53 × 53 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 12829480844926693104000 from the Numbermatics database.
Names of 12829480844926693104000
- Cardinal: 12829480844926693104000 can be written as Twelve sextillion, eight hundred twenty-nine quintillion, four hundred eighty quadrillion, eight hundred forty-four trillion, nine hundred twenty-six billion, six hundred ninety-three million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.2829480844926693104 × 1022
Factors of 12829480844926693104000
Divisors of 12829480844926693104000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 81 90 96 100 106 108 120 125 128 135 144 150 159 160 162 180 192 200 212 216 225 240 243 250 265 270 288 300 318 320 324 360 375 384 400 405 424 432 450 477 480 486 500 530 540 576 600 636 640 648 675 720 750 795 800 810 848 864 900 954 960 972 1000 1060 1080 1125 1152 1200 1215 1272 1296 1325 1350 1431 1440 1500 1590 1600 1620 1696 1728 1800 1908 1920 1944 2000 2025 2120 2160 2250 2385 2400 2430 2544 2592 2650 2700 2809 2862 2880 3000 3180 3200 3240 3375 3392 3456 3600 3816 3888 3975 4000 4050 4240 4293 4320 4500 4770 4800 4860 5088 5184 5300 5400 5618 5724 5760 6000 6075 6360 6480 6625 6750 6784 7155 7200 7632 7776 7950 8000 8100 8427 8480 8586 8640 9000 9540 9600 9720 10125 10176 10368 10600 10800 11236 11448 11925 12000 12150 12720 12879 12960 13250 13500 14045 14310 14400 15264 15552 15900 16000 16200 16854 16960 17172 17280 18000 19080 19440 19875 20250 20352 21200 21465 21600 22472 22896 23850 24000 24300 25281 25440 25758 25920 26500 27000 28090 28620 28800 30375 30528 31104 31800 32400 33708 33920 34344 35775 36000 38160 38880 39750 40500 42135 42400 42930 43200 44944 45792 47700 48000 48600 50562 50880 51516 51840 53000 54000 56180 57240 59625 60750 61056 63600 64395 64800 67416 68688 70225 71550 72000 75843 76320 77760 79500 81000 84270 84800 85860 86400 89888 91584 95400 97200 101124 101760 103032 106000 107325 108000 112360 114480 119250 121500 126405 127200 128790 129600 134832 137376 140450 143100 144000 148877 151686 152640 155520 159000 162000 168540 169600 171720 178875 179776 183168 190800 194400 202248 206064 210675 212000 214650 216000 224720 227529 228960 238500 243000 252810 254400 257580 259200 269664 274752 280900 286200 297754 303372 305280 318000 321975 324000 337080 343440 351125 357750 359552 379215 381600 388800 404496 412128 421350 424000 429300 432000 446631 449440 455058 457920 477000 486000 505620 508800 515160 536625 539328 549504 561800 572400 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247482269385159975 249038761645444000 252151746166012050 253737606204792000 263981087344170640 267280850935972773 268961862577079520 280168606851124500 285454806980391000 296978723262191970 298846513974532800 302582095399214460 304485127445750400 316777304813004768 322754235092495424 329976359180213300 336202328221349400 356374467914630364 358615816769439360 373558142468166000 378227619249018075 380606409307188000 395971631016255960 403442793865619280 412470448975266625 420252910276686750 422369739750673024 445468084893287955 448269770961799200 456727691168625600 475165957219507152 484131352638743136 494964538770319950 498077523290888000 504303492332024100 507475212409584000 527962174688341280 534561701871945546 537923725154159040 560337213702249000 570909613960782000 593957446524383940 597693027949065600 605164190798428920 630379365415030125 633554609626009536 645508470184990848 659952718360426600 672404656442698800 712748935829260728 742446808155479925 747116284936332000 756455238498036150 761212818614376000 791943262032511920 801842552807918319 806885587731238560 824940897950533250 840505820553373500 890936169786575910 896539541923598400 913455382337251200 950331914439014304 968262705277486272 989929077540639900 996155046581776000 1008606984664048200 1055924349376682560 1069123403743891092 1075847450308318080 1120674427404498000 1141819227921564000 1187914893048767880 1210328381596857840 1237411346925799875 1260758730830060250 1267109219252019072 1319905436720853200 1336404254679863865 1344809312885397600 1425497871658521456 1484893616310959850 1494232569872664000 1512910476996072300 1522425637228752000 1583886524065023840 1603685105615836638 1613771175462477120 1649881795901066500 1681011641106747000 1781872339573151820 1793079083847196800 1891138096245090375 1900663828878028608 1936525410554972544 1979858155081279800 2017213969328096400 2111848698753365120 2138246807487782184 2227340424466439775 2241348854808996000 2283638455843128000 2375829786097535760 2420656763193715680 2474822693851599750 2521517461660120500 2639810873441706400 2672808509359727730 2689618625770795200 2850995743317042912 2969787232621919700 2988465139745328000 3025820953992144600 3167773048130047680 3207370211231673276 3227542350924954240 3299763591802133000 3362023282213494000 3563744679146303640 3712234040777399625 3782276192490180750 3801327657756057216 3959716310162559600 4009212764039591595 4034427938656192800 4276493614975564368 4454680848932879550 4482697709617992000 4567276911686256000 4751659572195071520 4841313526387431360 4949645387703199500 5043034923320241000 5279621746883412800 5345617018719455460 5379237251541590400 5701991486634085824 5939574465243839400 6051641907984289200 6335546096260095360 6414740422463346552 6599527183604266000 6682021273399319325 6724046564426988000 7127489358292607280 7424468081554799250 7564552384980361500 7919432620325119200 8018425528079183190 8068855877312385600 8552987229951128736 8909361697865759100 8965395419235984000 9503319144390143040 9682627052774862720 9899290775406399000 10086069846640482000 10559243493766825600 10691234037438910920 11136702122332198875 11403982973268171648 11879148930487678800 12103283815968578400 12829480844926693104 13199054367208532000 13364042546798638650 13448093128853976000 14254978716585214560 14848936163109598500 15129104769960723000 15838865240650238400 16036851056158366380 16137711754624771200 17105974459902257472 17818723395731518200 19006638288780286080 19798581550812798000 20046063820197957975 20172139693280964000 21382468074877821840 22273404244664397750 23758297860975357600 24206567631937156800 25658961689853386208 26398108734417064000 26728085093597277300 26896186257707952000 28509957433170429120 29697872326219197000 30258209539921446000 31677730481300476800 32073702112316732760 33410106366996596625 34211948919804514944 35637446791463036400 39597163101625596000 40092127640395915950 40344279386561928000 42764936149755643680 44546808489328795500 47516595721950715200 48413135263874313600 51317923379706772416 52796217468834128000 53456170187194554600 57019914866340858240 59395744652438394000 60516419079842892000 64147404224633465520 66820212733993193250 71274893582926072800 79194326203251192000 80184255280791831900 80688558773123856000 85529872299511287360 89093616978657591000 95033191443901430400 100230319100989789875 102635846759413544832 106912340374389109200 118791489304876788000 121032838159685784000 128294808449266931040 133640425467986386500 142549787165852145600 158388652406502384000 160368510561583663800 171059744599022574720 178187233957315182000 200460638201979579750 213824680748778218400 237582978609753576000 242065676319371568000 256589616898533862080 267280850935972773000 285099574331704291200 320737021123167327600 356374467914630364000 400921276403959159500 427649361497556436800 475165957219507152000 513179233797067724160 534561701871945546000 641474042246334655200 712748935829260728000 801842552807918319000 855298722995112873600 1069123403743891092000 1282948084492669310400 1425497871658521456000 1603685105615836638000 2138246807487782184000 2565896168985338620800 3207370211231673276000 4276493614975564368000 6414740422463346552000 12829480844926693104000
- Sum of all divisors σ(n): 48699164997980763346080
- Sum of proper divisors (its aliquot sum) s(n): 35869684153054070242080
- 12829480844926693104000 is an abundant number, because the sum of its proper divisors (35869684153054070242080) is greater than itself. Its abundance is 23040203308127377138080
Bases of 12829480844926693104000
- Binary: 101011011101111100110100000001011011110101010001011110101101011001100000002
- Hexadecimal: 0x2B77CD016F545EB5980
- Base-36: 237KDPKWBD6OO00
Squares and roots of 12829480844926693104000
- 12829480844926693104000 squared (128294808449266931040002) is 164595578750340935188928559661001154816000000
- 12829480844926693104000 cubed (128294808449266931040003) is 2111675824737122074252234359343816482960252692608023588864000000000
-
The
square root of 12829480844926693104000 is 113267298215.0041976713 -
The
cube root of 12829480844926693104000 is 23410086.9927382741
Scales and comparisons
How big is 12829480844926693104000?- 12,829,480,844,926,693,104,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,829,480,844,926,693,104,000 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 12829480844926693104000 cubic inches would be around 1950840.6 feet tall.
Recreational maths with 12829480844926693104000
- 12829480844926693104000 backwards is 00040139662944808492821
- 12829480844926693104000 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 12829480844926693104000's digits is 90
- More coming soon!
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Numbermatics. (2024). Number 12829480844926693104000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/12829480844926693104000/
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Numbermatics. 2024. "Number 12829480844926693104000 - Facts about the integer". https://numbermatics.com/n/12829480844926693104000/
The information we have on file for 12829480844926693104000 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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