13535348093874839376000
13,535,348,093,874,839,376,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13535348093874839376000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
13535348093874839376000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13535348093874839376000:
27 × 34 × 53 × 183191 × 57011214691
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 183191 × 57011214691)See below for interesting mathematical facts about the number 13535348093874839376000 from the Numbermatics database.
Names of 13535348093874839376000
- Cardinal: 13535348093874839376000 can be written as Thirteen sextillion, five hundred thirty-five quintillion, three hundred forty-eight quadrillion, ninety-three trillion, eight hundred seventy-four billion, eight hundred thirty-nine million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.3535348093874839376 × 1022
Factors of 13535348093874839376000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 57011397892
Divisors of 13535348093874839376000
- Number of divisors d(n): 640
-
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 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 270 288 300 320 324 360 375 384 400 405 432 450 480 500 540 576 600 640 648 675 720 750 800 810 864 900 960 1000 1080 1125 1152 1200 1296 1350 1440 1500 1600 1620 1728 1800 1920 2000 2025 2160 2250 2400 2592 2700 2880 3000 3200 3240 3375 3456 3600 4000 4050 4320 4500 4800 5184 5400 5760 6000 6480 6750 7200 8000 8100 8640 9000 9600 10125 10368 10800 12000 12960 13500 14400 16000 16200 17280 18000 20250 21600 24000 25920 27000 28800 32400 36000 40500 43200 48000 51840 54000 64800 72000 81000 86400 108000 129600 144000 162000 183191 216000 259200 324000 366382 432000 549573 648000 732764 915955 1099146 1296000 1465528 1648719 1831910 2198292 2747865 2931056 3297438 3663820 4396584 4579775 4946157 5495730 5862112 6594876 7327640 8243595 8793168 9159550 9892314 10991460 11724224 13189752 13739325 14655280 14838471 16487190 17586336 18319100 19784628 21982920 22898875 23448448 24730785 26379504 27478650 29310560 29676942 32974380 35172672 36638200 39569256 41217975 43965840 45797750 49461570 52759008 54957300 58621120 59353884 65948760 68696625 70345344 73276400 74192355 79138512 82435950 87931680 91595500 98923140 105518016 109914600 117242240 118707768 123653925 131897520 137393250 146552800 148384710 158277024 164871900 175863360 183191000 197846280 206089875 211036032 219829200 237415536 247307850 263795040 274786500 293105600 296769420 316554048 329743800 351726720 366382000 370961775 395692560 412179750 439658400 474831072 494615700 527590080 549573000 586211200 593538840 618269625 633108096 659487600 732764000 741923550 791385120 824359500 879316800 949662144 989231400 1055180160 1099146000 1187077680 1236539250 1318975200 1465528000 1483847100 1582770240 1648719000 1758633600 1854808875 1899324288 1978462800 2198292000 2374155360 2473078500 2637950400 2931056000 2967694200 3165540480 3297438000 3709617750 3956925600 4396584000 4748310720 4946157000 5275900800 5935388400 6594876000 7419235500 7913851200 8793168000 9496621440 9892314000 11870776800 13189752000 14838471000 15827702400 19784628000 23741553600 26379504000 29676942000 39569256000 47483107200 57011214691 59353884000 79138512000 114022429382 118707768000 171033644073 228044858764 237415536000 285056073455 342067288146 456089717528 513100932219 570112146910 684134576292 855168220365 912179435056 1026201864438 1140224293820 1368269152584 1425280367275 1539302796657 1710336440730 1824358870112 2052403728876 2280448587640 2565504661095 2736538305168 2850560734550 3078605593314 3420672881460 3648717740224 4104807457752 4275841101825 4560897175280 4617908389971 5131009322190 5473076610336 5701121469100 6157211186628 6841345762920 7126401836375 7297435480448 7696513983285 8209614915504 8551682203650 9121794350560 9235816779942 10262018644380 10946153220672 11402242938200 12314422373256 12827523305475 13682691525840 14252803672750 15393027966570 16419229831008 17103364407300 18243588701120 18471633559884 20524037288760 21379205509125 21892306441344 22804485876400 23089541949855 24628844746512 25655046610950 27365383051680 28505607345500 30786055933140 32838459662016 34206728814600 36487177402240 36943267119768 38482569916425 41048074577520 42758411018250 45608971752800 46179083899710 49257689493024 51310093221900 54730766103360 57011214691000 61572111866280 64137616527375 65676919324032 68413457629200 73886534239536 76965139832850 82096149155040 85516822036500 91217943505600 92358167799420 98515378986048 102620186443800 109461532206720 114022429382000 115447709749275 123144223732560 128275233054750 136826915258400 147773068479072 153930279665700 164192298310080 171033644073000 182435887011200 184716335598840 192412849582125 197030757972096 205240372887600 228044858764000 230895419498550 246288447465120 256550466109500 273653830516800 295546136958144 307860559331400 328384596620160 342067288146000 369432671197680 384825699164250 410480745775200 456089717528000 461790838997100 492576894930240 513100932219000 547307661033600 577238548746375 591092273916288 615721118662800 684134576292000 738865342395360 769651398328500 820961491550400 912179435056000 923581677994200 985153789860480 1026201864438000 1154477097492750 1231442237325600 1368269152584000 1477730684790720 1539302796657000 1641922983100800 1847163355988400 2052403728876000 2308954194985500 2462884474651200 2736538305168000 2955461369581440 3078605593314000 3694326711976800 4104807457752000 4617908389971000 4925768949302400 6157211186628000 7388653423953600 8209614915504000 9235816779942000 10443941430458981 12314422373256000 14777306847907200 18471633559884000 20887882860917962 24628844746512000 31331824291376943 36943267119768000 41775765721835924 52219707152294905 62663648582753886 73886534239536000 83551531443671848 93995472874130829 104439414304589810 125327297165507772 156659121456884715 167103062887343696 187990945748261658 208878828609179620 250654594331015544 261098535761474525 281986418622392487 313318242913769430 334206125774687392 375981891496523316 417757657218359240 469977364370654145 501309188662031088 522197071522949050 563972837244784974 626636485827538860 668412251549374784 751963782993046632 783295607284423575 835515314436718480 845959255867177461 939954728741308290 1002618377324062176 1044394143045898100 1127945674489569948 1253272971655077720 1305492678807372625 1336824503098749568 1409932093111962435 1503927565986093264 1566591214568847150 1671030628873436960 1691918511734354922 1879909457482616580 2005236754648124352 2088788286091796200 2255891348979139896 2349886821853270725 2506545943310155440 2610985357614745250 2819864186223924870 3007855131972186528 3133182429137694300 3342061257746873920 3383837023468709844 3759818914965233160 3916478036422117875 4010473509296248704 4177576572183592400 4229796279335887305 4511782697958279792 4699773643706541450 5013091886620310880 5221970715229490500 5639728372447849740 6015710263944373056 6266364858275388600 6684122515493747840 6767674046937419688 7049660465559812175 7519637829930466320 7832956072844235750 8355153144367184800 8459592558671774610 9023565395916559584 9399547287413082900 10026183773240621760 10443941430458981000 11279456744895699480 11749434109266353625 12031420527888746112 12532729716550777200 13535348093874839376 14099320931119624350 15039275659860932640 15665912145688471500 16710306288734369600 16919185117343549220 18047130791833119168 18799094574826165800 20052367546481243520 20887882860917962000 21148981396679436525 22558913489791398960 23498868218532707250 25065459433101554400 27070696187749678752 28198641862239248700 30078551319721865280 31331824291376943000 33420612577468739200 33838370234687098440 35248302327799060875 36094261583666238336 37598189149652331600 41775765721835924000 42297962793358873050 45117826979582797920 46997736437065414500 50130918866203108800 54141392375499357504 56397283724478497400 60157102639443730560 62663648582753886000 67676740469374196880 70496604655598121750 75196378299304663200 83551531443671848000 84595925586717746100 90235653959165595840 93995472874130829000 100261837732406217600 105744906983397182625 108282784750998715008 112794567448956994800 125327297165507772000 135353480938748393760 140993209311196243500 150392756598609326400 167103062887343696000 169191851173435492200 180471307918331191680 187990945748261658000 211489813966794365250 225589134897913989600 250654594331015544000 270706961877496787520 281986418622392487000 300785513197218652800 338383702346870984400 375981891496523316000 422979627933588730500 451178269795827979200 501309188662031088000 541413923754993575040 563972837244784974000 676767404693741968800 751963782993046632000 845959255867177461000 902356539591655958400 1127945674489569948000 1353534809387483937600 1503927565986093264000 1691918511734354922000 2255891348979139896000 2707069618774967875200 3383837023468709844000 4511782697958279792000 6767674046937419688000 13535348093874839376000
- Sum of all divisors σ(n): 50270933220064992040320
- Sum of proper divisors (its aliquot sum) s(n): 36735585126190152664320
- 13535348093874839376000 is an abundant number, because the sum of its proper divisors (36735585126190152664320) is greater than itself. Its abundance is 23200237032315313288320
Bases of 13535348093874839376000
- Binary: 101101110111000000101100000101001000001000000011100110011001010000100000002
- Hexadecimal: 0x2DDC0B052080E665080
- Base-36: 27CJ895NIHJEW00
Squares and roots of 13535348093874839376000
- 13535348093874839376000 squared (135353480938748393760002) is 183205648022361247609011163869800069376000000
- 13535348093874839376000 cubed (135353480938748393760003) is 2479752218746572048977288214405657687896598937905656549376000000000
-
The
square root of 13535348093874839376000 is 116341514919.9753173647 -
The
cube root of 13535348093874839376000 is 23831779.7420178841
Scales and comparisons
How big is 13535348093874839376000?- 13,535,348,093,874,839,376,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,535,348,093,874,839,376,000 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 13535348093874839376000 cubic inches would be around 1985981.6 feet tall.
Recreational maths with 13535348093874839376000
- 13535348093874839376000 backwards is 00067393847839084353531
- The number of decimal digits it has is: 23
- The sum of 13535348093874839376000's digits is 99
- More coming soon!
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The information we have on file for 13535348093874839376000 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 13535348093874839376000, math, Factors of 13535348093874839376000, curriculum, school, college, exams, university, Prime factorization of 13535348093874839376000, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, five hundred thirty-five quintillion, three hundred forty-eight quadrillion, ninety-three trillion, eight hundred seventy-four billion, eight hundred thirty-nine million, three hundred seventy-six thousand.