12893450822763817238400
12,893,450,822,763,817,238,400 is an even composite number composed of seven prime numbers multiplied together.
12893450822763817238400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12893450822763817238400:
27 × 3 × 52 × 13 × 79 × 43753 × 29889569159
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 79 × 43753 × 29889569159)See below for interesting mathematical facts about the number 12893450822763817238400 from the Numbermatics database.
Names of 12893450822763817238400
- Cardinal: 12893450822763817238400 can be written as Twelve sextillion, eight hundred ninety-three quintillion, four hundred fifty quadrillion, eight hundred twenty-two trillion, seven hundred sixty-three billion, eight hundred seventeen million, two hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.28934508227638172384 × 1022
Factors of 12893450822763817238400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 29889613014
Divisors of 12893450822763817238400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 79 80 96 100 104 120 128 130 150 156 158 160 192 195 200 208 237 240 260 300 312 316 320 325 384 390 395 400 416 474 480 520 600 624 632 640 650 780 790 800 832 948 960 975 1027 1040 1185 1200 1248 1264 1300 1560 1580 1600 1664 1896 1920 1950 1975 2054 2080 2370 2400 2496 2528 2600 3081 3120 3160 3200 3792 3900 3950 4108 4160 4740 4800 4992 5056 5135 5200 5925 6162 6240 6320 7584 7800 7900 8216 8320 9480 9600 10112 10270 10400 11850 12324 12480 12640 15168 15405 15600 15800 16432 18960 20540 20800 23700 24648 24960 25280 25675 30336 30810 31200 31600 32864 37920 41080 41600 43753 47400 49296 50560 51350 61620 62400 63200 65728 75840 77025 82160 87506 94800 98592 102700 123240 124800 126400 131259 131456 151680 154050 164320 175012 189600 197184 205400 218765 246480 252800 262518 308100 328640 350024 379200 394368 410800 437530 492960 525036 568789 616200 656295 657280 700048 758400 821600 875060 985920 1050072 1093825 1137578 1232400 1312590 1400096 1643200 1706367 1750120 1971840 2100144 2187650 2275156 2464800 2625180 2800192 2843945 3281475 3286400 3412734 3456487 3500240 4200288 4375300 4550312 4929600 5250360 5600384 5687890 6562950 6825468 6912974 7000480 8400576 8531835 8750600 9100624 9859200 10369461 10500720 11375780 13125900 13650936 13825948 14000960 14219725 16801152 17063670 17282435 17501200 18201248 20738922 21001440 22751560 26251800 27301872 27651896 28001920 28439450 34127340 34564870 35002400 36402496 41477844 42002880 42659175 44934331 45503120 51847305 52503600 54603744 55303792 56878900 68254680 69129740 70004800 72804992 82955688 84005760 85318350 86412175 89868662 91006240 103694610 105007200 109207488 110607584 113757800 134802993 136509360 138259480 140009600 165911376 170636700 172824350 179737324 182012480 207389220 210014400 218414976 221215168 224671655 227515600 259236525 269605986 273018720 276518960 331822752 341273400 345648700 359474648 364024960 414778440 420028800 442430336 449343310 455031200 518473050 539211972 546037440 553037920 663645504 674014965 682546800 691297400 718949296 829556880 898686620 910062400 1036946100 1078423944 1092074880 1106075840 1123358275 1327291008 1348029930 1365093600 1382594800 1437898592 1659113760 1797373240 1820124800 2073892200 2156847888 2212151680 2246716550 2696059860 2730187200 2765189600 2875797184 3318227520 3370074825 3594746480 4147784400 4313695776 4493433100 5392119720 5460374400 5530379200 5751594368 6636455040 6740149650 7189492960 8295568800 8627391552 8986866200 10784239440 11060758400 13480299300 14378985920 16591137600 17254783104 17973732400 21568478880 26960598600 28757971840 29889569159 33182275200 35947464800 43136957760 53921197200 59779138318 71894929600 86273915520 89668707477 107842394400 119558276636 143789859200 149447845795 179337414954 215684788800 239116553272 298895691590 358674829908 388564399067 431369577600 448343537385 478233106544 597791383180 717349659816 747239228975 777128798134 896687074770 956466213088 1165693197201 1195582766360 1434699319632 1494478457950 1554257596268 1793374149540 1912932426176 1942821995335 2241717686925 2331386394402 2361275963561 2391165532720 2869398639264 2988956915900 3108515192536 3586748299080 3825864852352 3885643990670 4483435373850 4662772788804 4722551927122 4782331065440 5738797278528 5828465986005 5977913831800 6217030385072 7083827890683 7173496598160 7771287981340 8966870747700 9325545577608 9445103854244 9564662130880 9714109976675 11477594557056 11656931972010 11806379817805 11955827663600 12434060770144 14167655781366 14346993196320 15542575962680 17933741495400 18651091155216 18890207708488 19129324261760 19428219953350 23313863944020 23612759635610 23911655327200 24868121540288 28335311562732 28693986392640 29142329930025 30696587526293 31085151925360 35419139453415 35867482990800 37302182310432 37780415416976 38856439906700 46627727888040 47225519271220 47823310654400 49736243080576 56670623125464 57387972785280 58284659860050 59031899089025 61393175052586 62170303850720 70838278906830 71734965981600 74604364620864 75560830833952 77712879813400 92089762578879 93255455776080 94451038542440 95646621308800 113341246250928 116569319720100 118063798178050 122786350105172 124340607701440 141676557813660 143469931963200 149208729241728 151121661667904 153482937631465 155425759626800 177095697267075 184179525157758 186510911552160 188902077084880 226682492501856 233138639440200 236127596356100 245572700210344 248681215402880 283353115627320 286939863926400 302243323335808 306965875262930 310851519253600 354191394534150 368359050315516 373021823104320 377804154169760 453364985003712 460448812894395 466277278880400 472255192712200 491145400420688 566706231254640 613931750525860 621703038507200 708382789068300 736718100631032 746043646208640 755608308339520 767414688157325 906729970007424 920897625788790 932554557760800 944510385424400 982290800841376 1133412462509280 1227863501051720 1243406077014400 1307758319413727 1416765578136600 1473436201262064 1511216616679040 1534829376314650 1841795251577580 1865109115521600 1889020770848800 1964581601682752 2266824925018560 2302244064471975 2455727002103440 2615516638827454 2833531156273200 2946872402524128 3069658752629300 3683590503155160 3730218231043200 3778041541697600 3923274958241181 3929163203365504 4533649850037120 4604488128943950 4911454004206880 5231033277654908 5667062312546400 5893744805048256 6139317505258600 6538791597068635 7367181006310320 7556083083395200 7846549916482362 9208976257887900 9822908008413760 10462066555309816 11334124625092800 11787489610096512 12278635010517200 13077583194137270 14734362012620640 15693099832964724 17000858152378451 18417952515775800 19616374791205905 19645816016827520 20924133110619632 22668249250185600 24557270021034400 26155166388274540 29468724025241280 31386199665929448 32693957985343175 34001716304756902 36835905031551600 39232749582411810 41848266221239264 49114540042068800 51002574457135353 52310332776549080 58937448050482560 62772399331858896 65387915970686350 68003432609513804 73671810063103200 78465499164823620 83696532442478528 85004290761892255 98081873956029525 98229080084137600 102005148914270706 103312907233684433 104620665553098160 125544798663717792 130775831941372700 136006865219027608 147343620126206400 156930998329647240 167393064884957056 170008581523784510 196163747912059050 204010297828541412 206625814467368866 209241331106196320 251089597327435584 255012872285676765 261551663882745400 272013730438055216 294687240252412800 309938721701053299 313861996659294480 340017163047569020 392327495824118100 408020595657082824 413251628934737732 418482662212392640 425021453809461275 502179194654871168 510025744571353530 516564536168422165 523103327765490800 544027460876110432 619877443402106598 627723993318588960 680034326095138040 784654991648236200 816041191314165648 826503257869475464 836965324424785280 850042907618922550 1020051489142707060 1033129072336844330 1046206655530981600 1088054921752220864 1239754886804213196 1255447986637177920 1275064361428383825 1343067794037897629 1360068652190276080 1549693608505266495 1569309983296472400 1632082382628331296 1653006515738950928 1700085815237845100 2040102978285414120 2066258144673688660 2092413311061963200 2176109843504441728 2479509773608426392 2510895973274355840 2550128722856767650 2582822680842110825 2686135588075795258 2720137304380552160 3099387217010532990 3138619966592944800 3264164765256662592 3306013031477901856 3400171630475690200 4029203382113692887 4080205956570828240 4132516289347377320 4184826622123926400 4959019547216852784 5100257445713535300 5165645361684221650 5372271176151590516 5440274608761104320 6198774434021065980 6277239933185889600 6528329530513325184 6612026062955803712 6715338970189488145 6800343260951380400 7748468042526332475 8058406764227385774 8160411913141656480 8265032578694754640 9918039094433705568 10200514891427070600 10331290723368443300 10744542352303181032 10880549217522208640 12397548868042131960 12554479866371779200 13224052125911607424 13430677940378976290 13600686521902760800 15496936085052664950 16116813528454771548 16320823826283312960 16530065157389509280 19836078188867411136 20146016910568464435 20401029782854141200 20662581446736886600 21489084704606362064 24795097736084263920 26861355880757952580 27201373043805521600 30993872170105329900 32233627056909543096 32641647652566625920 33060130314779018560 33576694850947440725 39672156377734822272 40292033821136928870 40802059565708282400 41325162893473773200 42978169409212724128 49590195472168527840 53722711761515905160 54402746087611043200 61987744340210659800 64467254113819086192 66120260629558037120 67153389701894881450 80584067642273857740 81604119131416564800 82650325786947546400 85956338818425448256 99180390944337055680 100730084552842322175 107445423523031810320 123975488680421319600 128934508227638172384 134306779403789762900 161168135284547715480 163208238262833129600 165300651573895092800 171912677636850896512 198360781888674111360 201460169105684644350 214890847046063620640 247950977360842639200 257869016455276344768 268613558807579525800 322336270569095430960 330601303147790185600 402920338211369288700 429781694092127241280 495901954721685278400 515738032910552689536 537227117615159051600 644672541138190861920 805840676422738577400 859563388184254482560 991803909443370556800 1074454235230318103200 1289345082276381723840 1611681352845477154800 2148908470460636206400 2578690164552763447680 3223362705690954309600 4297816940921272412800 6446725411381908619200 12893450822763817238400
- Sum of all divisors σ(n): 46314534749753039616000
- Sum of proper divisors (its aliquot sum) s(n): 33421083926989222377600
- 12893450822763817238400 is an abundant number, because the sum of its proper divisors (33421083926989222377600) is greater than itself. Its abundance is 20527633104225405139200
Bases of 12893450822763817238400
- Binary: 101011101011110100100100110001101011011111100111010101000001111111100000002
- Hexadecimal: 0x2BAF4931ADF9D507F80
- Base-36: 23L2E7LHVZZTBPC
Squares and roots of 12893450822763817238400
- 12893450822763817238400 squared (128934508227638172384002) is 166241074119028955685195916703277002434560000
- 12893450822763817238400 cubed (128934508227638172384003) is 2143421113877134612663337275270012721992827105438115695919104000000
-
The
square root of 12893450822763817238400 is 113549332110.6021179683 -
The
cube root of 12893450822763817238400 is 23448931.3968879243
Scales and comparisons
How big is 12893450822763817238400?- 12,893,450,822,763,817,238,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,893,450,822,763,817,238,400 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 12893450822763817238400 cubic inches would be around 1954077.6 feet tall.
Recreational maths with 12893450822763817238400
- 12893450822763817238400 backwards is 00483271836722805439821
- The number of decimal digits it has is: 23
- The sum of 12893450822763817238400's digits is 93
- More coming soon!
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The information we have on file for 12893450822763817238400 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 12893450822763817238400, math, Factors of 12893450822763817238400, curriculum, school, college, exams, university, Prime factorization of 12893450822763817238400, STEM, science, technology, engineering, physics, economics, calculator, twelve sextillion, eight hundred ninety-three quintillion, four hundred fifty quadrillion, eight hundred twenty-two trillion, seven hundred sixty-three billion, eight hundred seventeen million, two hundred thirty-eight thousand, four hundred.