146981948704166190412800
146,981,948,704,166,190,412,800 is an even composite number composed of five prime numbers multiplied together.
146981948704166190412800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred sixty divisors.
Prime factorization of 146981948704166190412800:
210 × 34 × 52 × 6551 × 10820103558323
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 6551 × 10820103558323)See below for interesting mathematical facts about the number 146981948704166190412800 from the Numbermatics database.
Names of 146981948704166190412800
- Cardinal: 146981948704166190412800 can be written as One hundred forty-six sextillion, nine hundred eighty-one quintillion, nine hundred forty-eight quadrillion, seven hundred four trillion, one hundred sixty-six billion, one hundred ninety million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.469819487041661904128 × 1023
Factors of 146981948704166190412800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 10820103564884
Divisors of 146981948704166190412800
- Number of divisors d(n): 660
-
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 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 256 270 288 300 320 324 360 384 400 405 432 450 480 512 540 576 600 640 648 675 720 768 800 810 864 900 960 1024 1080 1152 1200 1280 1296 1350 1440 1536 1600 1620 1728 1800 1920 2025 2160 2304 2400 2560 2592 2700 2880 3072 3200 3240 3456 3600 3840 4050 4320 4608 4800 5120 5184 5400 5760 6400 6480 6551 6912 7200 7680 8100 8640 9216 9600 10368 10800 11520 12800 12960 13102 13824 14400 15360 16200 17280 19200 19653 20736 21600 23040 25600 25920 26204 27648 28800 32400 32755 34560 38400 39306 41472 43200 46080 51840 52408 57600 58959 64800 65510 69120 76800 78612 82944 86400 98265 103680 104816 115200 117918 129600 131020 138240 157224 163775 172800 176877 196530 207360 209632 230400 235836 259200 262040 294795 314448 327550 345600 353754 393060 414720 419264 471672 491325 518400 524080 530631 589590 628896 655100 691200 707508 786120 838528 884385 943344 982650 1036800 1048160 1061262 1179180 1257792 1310200 1415016 1473975 1572240 1677056 1768770 1886688 1965300 2073600 2096320 2122524 2358360 2515584 2620400 2653155 2830032 2947950 3144480 3354112 3537540 3773376 3930600 4192640 4245048 4421925 4716720 5031168 5240800 5306310 5660064 5895900 6288960 6708224 7075080 7546752 7861200 8385280 8490096 8843850 9433440 10062336 10481600 10612620 11320128 11791800 12577920 13265775 14150160 15093504 15722400 16770560 16980192 17687700 18866880 20124672 20963200 21225240 22640256 23583600 25155840 26531550 28300320 30187008 31444800 33541120 33960384 35375400 37733760 41926400 42450480 45280512 47167200 50311680 53063100 56600640 60374016 62889600 67920768 70750800 75467520 83852800 84900960 90561024 94334400 100623360 106126200 113201280 125779200 135841536 141501600 150935040 167705600 169801920 181122048 188668800 212252400 226402560 251558400 271683072 283003200 301870080 339603840 377337600 424504800 452805120 503116800 543366144 566006400 679207680 754675200 849009600 905610240 1132012800 1358415360 1509350400 1698019200 2264025600 2716830720 3396038400 4528051200 6792076800 13584153600 10820103558323 21640207116646 32460310674969 43280414233292 54100517791615 64920621349938 86560828466584 97380932024907 108201035583230 129841242699876 162301553374845 173121656933168 194761864049814 216402071166460 259682485399752 270502588958075 292142796074721 324603106749690 346243313866336 389523728099628 432804142332920 486904660124535 519364970799504 541005177916150 584285592149442 649206213499380 692486627732672 779047456199256 811507766874225 865608284665840 876428388224163 973809320249070 1038729941599008 1082010355832300 1168571184298884 1298412426998760 1384973255465344 1460713980373605 1558094912398512 1623015533748450 1731216569331680 1752856776448326 1947618640498140 2077459883198016 2164020711664600 2337142368597768 2434523300622675 2596824853997520 2769946510930688 2921427960747210 3116189824797024 3246031067496900 3462433138663360 3505713552896652 3895237280996280 4154919766396032 4328041423329200 4382141941120815 4674284737195536 4869046601245350 5193649707995040 5539893021861376 5842855921494420 6232379649594048 6492062134993800 6924866277326720 7011427105793304 7303569901868025 7790474561992560 8309839532792064 8656082846658400 8764283882241630 9348569474391072 9738093202490700 10387299415990080 11079786043722752 11685711842988840 12464759299188096 12984124269987600 13849732554653440 14022854211586608 14607139803736050 15580949123985120 16619679065584128 17312165693316800 17528567764483260 18697138948782144 19476186404981400 20774598831980160 21910709705604075 23371423685977680 24929518598376192 25968248539975200 27699465109306880 28045708423173216 29214279607472100 31161898247970240 33239358131168256 34624331386633600 35057135528966520 37394277897564288 38952372809962800 41549197663960320 43821419411208150 46742847371955360 49859037196752384 51936497079950400 55398930218613760 56091416846346432 58428559214944200 62323796495940480 69248662773267200 70114271057933040 70882498410573973 74788555795128576 77904745619925600 83098395327920640 87642838822416300 93485694743910720 99718074393504768 103872994159900800 112182833692692864 116857118429888400 124647592991880960 138497325546534400 140228542115866080 141764996821147946 149577111590257152 155809491239851200 166196790655841280 175285677644832600 186971389487821440 207745988319801600 212647495231721919 224365667385385728 233714236859776800 249295185983761920 276994651093068800 280457084231732160 283529993642295892 299154223180514304 311618982479702400 350571355289665200 354412492052869865 373942778975642880 415491976639603200 425294990463443838 448731334770771456 467428473719553600 498590371967523840 560914168463464320 567059987284591784 623237964959404800 637942485695165757 701142710579330400 708824984105739730 747885557951285760 830983953279206400 850589980926887676 897462669541542912 934856947439107200 1063237476158609595 1121828336926928640 1134119974569183568 1246475929918809600 1275884971390331514 1402285421158660800 1417649968211479460 1495771115902571520 1701179961853775352 1772062460264349325 1869713894878214400 1913827457085497271 2126474952317219190 2243656673853857280 2268239949138367136 2492951859837619200 2551769942780663028 2804570842317321600 2835299936422958920 3189712428475828785 3402359923707550704 3544124920528698650 3739427789756428800 3827654914170994542 4252949904634438380 4487313347707714560 4536479898276734272 5103539885561326056 5316187380793047975 5609141684634643200 5670599872845917840 5741482371256491813 6379424856951657570 6804719847415101408 7088249841057397300 7478855579512857600 7655309828341989084 8505899809268876760 9072959796553468544 9569137285427486355 10207079771122652112 10632374761586095950 11218283369269286400 11341199745691835680 11482964742512983626 12758849713903315140 13609439694830202816 14176499682114794600 15310619656683978168 15948562142379143925 17011799618537753520 18145919593106937088 19138274570854972710 20414159542245304224 21264749523172191900 22436566738538572800 22682399491383671360 22965929485025967252 25517699427806630280 27218879389660405632 28352999364229589200 28707411856282459065 30621239313367956336 31897124284758287850 34023599237075507040 36291839186213874176 38276549141709945420 40828319084490608448 42529499046344383800 45364798982767342720 45931858970051934504 47845686427137431775 51035398855613260560 54437758779320811264 56705998728459178400 57414823712564918130 61242478626735912672 63794248569516575700 68047198474151014080 72583678372427748352 76553098283419890840 81656638168981216896 85058998092688767600 90729597965534685440 91863717940103869008 95691372854274863550 102070797711226521120 108875517558641622528 113411997456918356800 114829647425129836260 122484957253471825344 127588497139033151400 136094396948302028160 143537059281412295325 153106196566839781680 163313276337962433792 170117996185377535200 181459195931069370880 183727435880207738016 191382745708549727100 204141595422453042240 217751035117283245056 226823994913836713600 229659294850259672520 244969914506943650688 255176994278066302800 272188793896604056320 287074118562824590650 306212393133679563360 326626552675924867584 340235992370755070400 362918391862138741760 367454871760415476032 382765491417099454200 408283190844906084480 453647989827673427200 459318589700519345040 489939829013887301376 510353988556132605600 544377587793208112640 574148237125649181300 612424786267359126720 653253105351849735168 680471984741510140800 734909743520830952064 765530982834198908400 816566381689812168960 907295979655346854400 918637179401038690080 979879658027774602752 1020707977112265211200 1088755175586416225280 1148296474251298362600 1224849572534718253440 1360943969483020281600 1469819487041661904128 1531061965668397816800 1633132763379624337920 1814591959310693708800 1837274358802077380160 1959759316055549205504 2041415954224530422400 2296592948502596725200 2449699145069436506880 2721887938966040563200 2939638974083323808256 3062123931336795633600 3266265526759248675840 3674548717604154760320 4082831908449060844800 4593185897005193450400 4899398290138873013760 5443775877932081126400 5879277948166647616512 6124247862673591267200 7349097435208309520640 8165663816898121689600 9186371794010386900800 9798796580277746027520 12248495725347182534400 14698194870416619041280 16331327633796243379200 18372743588020773801600 24496991450694365068800 29396389740833238082560 36745487176041547603200 48993982901388730137600 73490974352083095206400 146981948704166190412800
- Sum of all divisors σ(n): 544339954867156774181856
- Sum of proper divisors (its aliquot sum) s(n): 397358006162990583769056
- 146981948704166190412800 is an abundant number, because the sum of its proper divisors (397358006162990583769056) is greater than itself. Its abundance is 250376057458824393356256
Bases of 146981948704166190412800
- Binary: 111110001111111101000010010111011001010110011000100000010101001110100000000002
- Hexadecimal: 0x1F1FE84BB2B3102A7400
- Base-36: NXNFXTGKHGOXS00
Squares and roots of 146981948704166190412800
- 146981948704166190412800 squared (1469819487041661904128002) is 21603693244874141261074559989275706634403840000
- 146981948704166190412800 cubed (1469819487041661904128003) is 3175352932338632668469681053283316196347493785759206632851505152000000
-
The
square root of 146981948704166190412800 is 383382248812.0259727745 -
The
cube root of 146981948704166190412800 is 52774160.5162751895
Scales and comparisons
How big is 146981948704166190412800?- 146,981,948,704,166,190,412,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 146,981,948,704,166,190,412,800 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 146981948704166190412800 cubic inches would be around 4397846.7 feet tall.
Recreational maths with 146981948704166190412800
- 146981948704166190412800 backwards is 008214091661407849189641
- The number of decimal digits it has is: 24
- The sum of 146981948704166190412800's digits is 99
- More coming soon!
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The information we have on file for 146981948704166190412800 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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