40728004213760840683824348
40,728,004,213,760,840,683,824,348 is an even composite number composed of eight prime numbers multiplied together.
What does the number 40728004213760840683824348 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 384 divisors.
40728004213760840683824348 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40728004213760840683824348:
22 × 3 × 7 × 11 × 37 × 317 × 100324789 × 37458632317
(2 × 2 × 3 × 7 × 11 × 37 × 317 × 100324789 × 37458632317)See below for interesting mathematical facts about the number 40728004213760840683824348 from the Numbermatics database.
Names of 40728004213760840683824348
- Cardinal: 40728004213760840683824348 can be written as Forty septillion, seven hundred twenty-eight sextillion, four quintillion, two hundred thirteen quadrillion, seven hundred sixty trillion, eight hundred forty billion, six hundred eighty-three million, eight hundred twenty-four thousand, three hundred forty-eight.
Scientific notation
- Scientific notation: 4.0728004213760840683824348 × 1025
Factors of 40728004213760840683824348
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 37558957483
Divisors of 40728004213760840683824348
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 317 407 444 462 518 634 777 814 924 951 1036 1221 1268 1554 1628 1902 2219 2442 2849 3108 3487 3804 4438 4884 5698 6657 6974 8547 8876 10461 11396 11729 13314 13948 17094 20922 23458 24409 26628 34188 35187 41844 46916 48818 70374 73227 82103 97636 129019 140748 146454 164206 246309 258038 292908 328412 387057 492618 516076 774114 903133 985236 1548228 1806266 2709399 3612532 5418798 10837596 100324789 200649578 300974367 401299156 601948734 702273523 1103572679 1203897468 1404547046 2106820569 2207145358 2809094092 3310718037 3712017193 4213641138 4414290716 6621436074 7424034386 7725008753 8427282276 11136051579 13242872148 14848068772 15450017506 22272103158 23175026259 25984120351 30900035012 31802958113 37458632317 40832189123 44544206316 46350052518 51968240702 63605916226 74917264634 77952361053 81664378246 92700105036 95408874339 103936481404 112375896951 122496567369 127211832452 149834529268 155904722106 163328756492 190817748678 222620706791 224751793902 244993134738 262210426219 285825323861 311809444212 349832539243 381635497356 412044955487 445241413582 449503587804 489986269476 524420852438 571650647722 667862120373 699665078486 786631278657 824089910974 857475971583 890482827164 1048841704876 1049497617729 1143301295444 1176709450181 1236134866461 1335724240746 1385969395729 1399330156972 1573262557314 1648179821948 1714951943166 2098995235458 2353418900362 2448827774701 2472269732922 2671448481492 2771938791458 2884314688409 3146525114628 3429903886332 3530128350543 4157908187187 4197990470916 4706837800724 4897655549402 4944539465844 5543877582916 5768629376818 7060256701086 7346483324103 8236966151267 8315816374374 8652944065227 9701785770103 9795311098804 11537258753636 11874386444489 12943803951991 14120513402172 14692966648206 15245663353019 16473932302534 16631632748748 17305888130454 19403571540206 23748772888978 24710898453801 25887607903982 29105357310309 29385933296412 30491326706038 32947864605068 34611776260908 35623159333467 38807143080412 38831411855973 45736990059057 47497545777956 49421796907602 51775215807964 58210714620618 60982653412076 71246318666934 77662823711946 83120705111423 90606627663937 91473980118114 98843593815204 106719643471133 116421429241236 130618250889379 142492637333868 155325647423892 166241410222846 181213255327874 182947960236228 213439286942266 249362115334269 261236501778758 271819882991811 320158930413399 332482820445692 362426510655748 391854752668137 426878573884532 439352298446093 498724230668538 522473003557516 543639765983622 640317860826798 783709505336274 878704596892186 914327756225653 997448461337076 1087279531967244 1280635721653596 1318056895338279 1567419010672548 1757409193784372 1828655512451306 2636113790676558 2742983268676959 3075466089122651 3657311024902612 4832875282907023 5272227581353116 5485966537353918 6150932178245302 9226398267367953 9665750565814046 10971933074707836 12301864356490604 14498625848721069 18452796534735906 19331501131628092 28997251697442138 33830126980349161 36905593069471812 57994503394884276 67660253960698322 101490380941047483 135320507921396644 202980761882094966 405961523764189932 3758029383431606113 7516058766863212226 11274088150294818339 15032117533726424452 22548176300589636678 26306205684021242791 41338323217747667243 45096352601179273356 52612411368042485582 78918617052063728373 82676646435495334486 105224822736084971164 124014969653243001729 139047087186969426181 157837234104127456746 165353292870990668972 248029939306486003458 278094174373938852362 289368262524233670701 315674468208254913492 417141261560908278543 496059878612972006916 556188348747877704724 578736525048467341402 834282523121816557086 868104787572701012103 973329610308785983267 1157473050096934682804 1191295314547819137821 1529517959056663687991 1668565046243633114172 1736209575145402024206 1946659220617571966534 2382590629095638275642 2919988830926357949801 3059035918113327375982 3472419150290804048412 3573885943643457413463 3893318441235143933068 4588553877169991063973 4765181258191276551284 5839977661852715899602 6118071836226654751964 7147771887286914826926 8339067201834733964747 9177107754339982127946 10706625713396645815937 11679955323705431799204 13104248460026010516031 14295543774573829653852 16678134403669467929494 18354215508679964255892 21413251426793291631874 25017201605504201894241 26208496920052021032062 32119877140189937447811 33356268807338935858988 39312745380078031548093 42826502853586583263748 44077926638269308099377 50034403211008403788482 52416993840104042064124 64239754280379874895622 78625490760156063096186 88155853276538616198754 91729739220182073612217 100068806422016807576964 128479508560759749791244 132233779914807924298131 157250981520312126192372 176311706553077232397508 183459478440364147224434 264467559829615848596262 275189217660546220836651 308545486467885156695639 366918956880728294448868 484857193020962389093147 528935119659231697192524 550378435321092441673302 617090972935770313391278 925636459403655470086917 969714386041924778186294 1100756870642184883346604 1234181945871540626782556 1454571579062887167279441 1851272918807310940173834 1939428772083849556372588 2909143158125774334558882 3394000351146736723652029 3702545837614621880347668 5818286316251548669117764 6788000702293473447304058 10182001053440210170956087 13576001404586946894608116 20364002106880420341912174 40728004213760840683824348
- Sum of all divisors σ(n): 122067529982495908474890240
- Sum of proper divisors (its aliquot sum) s(n): 81339525768735067791065892
- 40728004213760840683824348 is an abundant number, because the sum of its proper divisors (81339525768735067791065892) is greater than itself. Its abundance is 40611521554974227107241544
Bases of 40728004213760840683824348
- Binary: 100001101100000111110110001000010100000111100011111010111111000110100100100100110111002
- Hexadecimal: 0x21B07D885078FAFC6924DC
- Base-36: 5487H69241K8O7MCC
Squares and roots of 40728004213760840683824348
- 40728004213760840683824348 squared (407280042137608406838243482) is 1658770327236120794522018571138118549480378917625104
- 40728004213760840683824348 cubed (407280042137608406838243483) is 67558404877334176315151547335868609461056368687473802207374888265292451232192
-
The
square root of 40728004213760840683824348 is 6381849591909.9222127057 -
The
cube root of 40728004213760840683824348 is 344057510.8173244073
Scales and comparisons
How big is 40728004213760840683824348?- 40,728,004,213,760,840,683,824,348 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,728,004,213,760,840,683,824,348 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 40728004213760840683824348 cubic inches would be around 28671459.2 feet tall.
Recreational maths with 40728004213760840683824348
- 40728004213760840683824348 backwards is 84342838604806731240082704
- The number of decimal digits it has is: 26
- The sum of 40728004213760840683824348's digits is 102
- More coming soon!
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The information we have on file for 40728004213760840683824348 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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