13131036417436672
13,131,036,417,436,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 13131036417436672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
13131036417436672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13131036417436672:
210 × 73 × 19 × 313 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 19 × 31 × 31 × 31 × 257 × 257)See below for interesting mathematical facts about the number 13131036417436672 from the Numbermatics database.
Names of 13131036417436672
- Cardinal: 13131036417436672 can be written as Thirteen quadrillion, one hundred thirty-one trillion, thirty-six billion, four hundred seventeen million, four hundred thirty-six thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3131036417436672 × 1016
Factors of 13131036417436672
Divisors of 13131036417436672
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 64 76 98 112 124 128 133 152 196 217 224 248 256 257 266 304 343 392 434 448 496 512 514 532 589 608 686 784 868 896 931 961 992 1024 1028 1064 1178 1216 1372 1519 1568 1736 1792 1799 1862 1922 1984 2056 2128 2356 2432 2744 3038 3136 3472 3584 3598 3724 3844 3968 4112 4123 4256 4712 4864 4883 5488 6076 6272 6517 6727 6944 7168 7196 7448 7688 7936 7967 8224 8246 8512 9424 9728 9766 10633 10976 12152 12544 12593 13034 13454 13888 14392 14896 15376 15872 15934 16448 16492 17024 18259 18848 19456 19532 21266 21952 24304 25088 25186 26068 26908 27776 28784 28861 29791 29792 30752 31744 31868 32896 32984 34048 34181 36518 37696 39064 42532 43904 47089 48608 50176 50372 52136 53816 55552 55769 57568 57722 59582 59584 61504 63736 65792 65968 66049 68096 68362 73036 75392 78128 85064 87808 88151 94178 97216 100744 104272 107632 111104 111538 115136 115444 119164 119168 123008 127472 127813 131584 131936 132098 136192 136724 146072 150784 151373 156256 170128 175616 176302 188356 194432 201488 202027 208537 208544 215264 222208 223076 230272 230888 238328 238336 239267 246016 246977 254944 255626 263168 263872 264196 273448 292144 301568 302746 312512 329623 340256 351232 352604 376712 388864 390383 402976 404054 417074 417088 430528 446152 460544 461776 462343 476656 476672 478534 492032 493954 509888 511252 527744 528392 546896 566029 584288 603136 605492 625024 659246 680512 705208 753424 777728 780766 805952 808108 834148 834176 861056 892304 894691 921088 923552 924686 953312 953344 957068 984064 987908 1019776 1022504 1055488 1056784 1059611 1093792 1132058 1168576 1210984 1250048 1254931 1318492 1361024 1410416 1459759 1506848 1555456 1561532 1611904 1616216 1668296 1668352 1674869 1722112 1728839 1784608 1789382 1842176 1847104 1849372 1906624 1914136 1975816 2039552 2045008 2047519 2110976 2113568 2119222 2187584 2264116 2337152 2421968 2500096 2509862 2636984 2722048 2732681 2820832 2919518 3013696 3123064 3223808 3232432 3236401 3336592 3336704 3349738 3444224 3457678 3569216 3578764 3694208 3698744 3813248 3828272 3951632 3962203 4079104 4090016 4095038 4221952 4227136 4238444 4375168 4528232 4674304 4692563 4843936 5000192 5019724 5273968 5444096 5465362 5641664 5839036 6027392 6246128 6262837 6447616 6464864 6472802 6673184 6673408 6699476 6888448 6915356 7138432 7157528 7388416 7397488 7417277 7626496 7656287 7656544 7903264 7924406 8158208 8180032 8190076 8454272 8476888 8750336 8784517 9056464 9348608 9385126 9687872 10039448 10218313 10547936 10888192 10930724 11283328 11678072 12054784 12101873 12492256 12525674 12895232 12929728 12945604 13346368 13398952 13830712 14276864 14315056 14332633 14776832 14794976 14834554 15252992 15312574 15313088 15806528 15848812 16360064 16380152 16908544 16953776 17500672 17569034 18112928 18697216 18770252 19375744 20078896 20436626 21095872 21861448 22566656 22654807 23356144 24109568 24203746 24984512 25051348 25859456 25891208 26692736 26797904 27661424 27735421 28553728 28630112 28665266 29553664 29589952 29669108 30505984 30625148 30626176 31613056 31697624 32720128 32760304 32847941 33817088 33907552 35001344 35138068 36225856 37540504 38751488 38902861 40157792 40873252 42191744 43722896 45133312 45309614 46712288 48219136 48407492 49969024 50102696 51718912 51782416 51920939 53385472 53594009 53595808 55322848 55470842 57107456 57260224 57330532 59179904 59338216 61250296 61252352 61491619 63226112 63395248 63473089 65440256 65520608 65695882 67634176 67815104 70276136 72451712 75081008 77502976 77805722 80315584 81746504 84383488 84713111 87445792 90266624 90619228 93424576 96814984 99938048 100205392 100328431 103437824 103564832 103841878 106770944 107188018 107191616 110645696 110941684 114520448 114661064 118359808 118676432 122500592 122504704 122983238 126452224 126790496 126946178 130880512 131041216 131391764 135630208 140552272 144903424 145469453 150162016 155005952 155611444 160631168 163493008 168766976 169426222 174891584 181238456 186849152 193629968 194147947 199876096 200410784 200656862 206875648 207129664 207683756 213541888 214376036 214383232 221291392 221883368 229040896 229322128 229935587 236719616 237352864 245001184 245009408 245966476 252904448 253580992 253892356 262082432 262783528 271260416 272320027 281104544 289806848 290938906 300324032 311222888 321262336 326986016 337533952 338852444 349783168 362476912 373698304 375158063 387259936 388295894 399752192 400821568 401313724 414259328 415367512 428752072 428766464 430441333 442582784 443766736 444311623 458081792 458644256 459871174 473439232 474705728 490002368 491932952 507161984 507784712 524164864 525567056 542520832 544640054 562209088 579613696 581877812 600648064 622445776 642524672 653972032 677704888 699566336 702299017 724953824 747396608 750316126 774519872 776591788 801643136 802627448 828518656 830735024 857504144 857532928 860882666 885165568 887533472 888623246 916163584 917288512 919742348 949411456 980004736 983865904 1014323968 1015569424 1018286171 1048329728 1051134112 1085041664 1089280108 1124418176 1163755624 1201296128 1205988691 1244891552 1285049344 1307944064 1355409776 1399132672 1404598034 1449907648 1494793216 1500632252 1549039744 1553183576 1603286272 1605254896 1609549109 1657037312 1661470048 1715008288 1715065856 1721765332 1770331136 1775066944 1777246492 1834577024 1839484696 1898822912 1906240189 1960009472 1967665759 1967731808 2028647936 2031138848 2036572342 2096659456 2102268224 2178560216 2248836352 2327511248 2402592256 2411977382 2489783104 2615888128 2626106441 2710819552 2798265344 2809196068 2899815296 3001264504 3098079488 3106367152 3110181361 3206572544 3210509792 3219098218 3314074624 3322940096 3430016576 3443530664 3550133888 3554492984 3669154048 3678969392 3797645824 3812480378 3920018944 3935331518 3935463616 4057295872 4062277696 4073144684 4204536448 4357120432 4497672704 4655022496 4805184512 4823954764 4979566208 5231776256 5252212882 5421639104 5618392136 5799630592 6002529008 6196158976 6212734304 6220362722 6413145088 6421019584 6438196436 6645880192 6860033152 6887061328 7100267776 7108985968 7128003197 7338308096 7357938784 7595291648 7624960756 7840037888 7870663036 7870927232 8124555392 8146289368 8409072896 8441920837 8714240864 8995345408 9310044992 9647909528 9959132416 10463552512 10504425764 10843278208 11236784272 11599261184 12005058016 12392317952 12425468608 12440725444 12842039168 12876392872 13291760384 13343681323 13720066304 13773660313 13774122656 14200535552 14217971936 14256006394 14676616192 14715877568 15249921512 15741326072 15741854464 16249110784 16292578736 16818145792 16883841674 17428481728 18620089984 19295819056 19918264832 21008851528 21686556416 21771269527 22473568544 23198522368 24010116032 24850937216 24881450888 25684078336 25752785744 26583520768 26687362646 27440132608 27547320626 27548245312 28401071104 28435943872 28512012788 29431755136 30499843024 31482652144 31483708928 32498221568 32585157472 33636291584 33767683348 34856963456 37240179968 37385649421 38591638112 39836529664 42017703056 43373112832 43542539054 44947137088 48020232064 49701874432 49762901776 49896022379 51368156672 51505571488 53167041536 53374725292 54880265216 55094641252 55096490624 56871887744 57024025576 58863510272 59093445859 60999686048 62965304288 62967417856 64996443136 65170314944 67535366696 69713926912 74480359936 74771298842 77183276224 84035406112 86746225664 87085078108 89894274176 96040464128 96415622191 99403748864 99525803552 99792044758 102736313344 103011142976 106749450584 110189282504 110192981248 113743775488 114048051152 117727020544 118186891718 121999372096 125930608576 130340629888 135070733392 139427853824 148960719872 149542597684 154366552448 168070812224 174170156216 179788548352 192080928256 192831244382 198807497728 199051607104 199584089516 206022285952 213498901168 220378565008 220385962496 227487550976 228096102304 235454041088 236373783436 243998744192 251861217152 260681259776 261699545947 270141466784 278855707648 299085195368 308733104896 336141624448 348340312432 359577096704 384161856512 385662488764 398103214208 399168179032 412044571904 413654121013 426997802336 440757130016 440771924992 454975101952 456192204608 472747566872 487997488384 503722434304 521362519552 523399091894 540282933568 598170390736 617466209792 672283248896 674909355337 696680624864 719154193408 771324977528 796206428416 798336358064 824089143808 827308242026 853995604672 881514260032 912384409216 945495133744 975994976768 1007444868608 1042725039104 1046798183788 1080565867136 1196340781472 1234932419584 1344566497792 1349818710674 1393361249728 1542649955056 1592412856832 1596672716128 1648178287616 1654616484052 1707991209344 1763028520064 1824768818432 1831896821629 1890990267488 1951989953536 2014889737216 2093596367576 2161131734272 2392681562944 2689132995584 2699637421348 2786722499456 3085299910112 3184825713664 3193345432256 3309232968104 3415982418688 3526057040128 3649537636864 3663793643258 3781980534976 4187192735152 4322263468544 4785363125888 5399274842696 5573444998912 6170599820224 6386690864512 6618465936208 6831964837376 7052114080256 7299075273728 7327587286516 7563961069952 8374385470304 8644526937088 9570726251776 10798549685392 11146889997824 12341199640448 12773381729024 12823277751403 13236931872416 13663929674752 14104228160512 14655174573032 15127922139904 16748770940608 19141452503552 21597099370784 22293779995648 24682399280896 25546763458048 25646555502806 26473863744832 29310349146064 30255844279808 33497541881216 38282905007104 43194198741568 49364798561792 51093526916096 51293111005612 52947727489664 58620698292128 60511688559616 66995083762432 86388397483136 98729597123584 102586222011224 105895454979328 117241396584256 133990167524864 172776794966272 205172444022448 211790909958656 234482793168512 267980335049728 345553589932544 410344888044896 423581819917312 468965586337024 691107179865088 820689776089792 937931172674048 1641379552179584 1875862345348096 3282759104359168 6565518208718336 13131036417436672
- Sum of all divisors σ(n): 33426604210688000
- Sum of proper divisors (its aliquot sum) s(n): 20295567793251328
- 13131036417436672 is an abundant number, because the sum of its proper divisors (20295567793251328) is greater than itself. Its abundance is 7164531375814656
Bases of 13131036417436672
- Binary: 1011101010011010011011101010010011000110101100000000002
- Hexadecimal: 0x2EA69BA931AC00
- Base-36: 3LAKAUPMMF4
Squares and roots of 13131036417436672
- 13131036417436672 squared (131310364174366722) is 172424117396048109757759130435584
- 13131036417436672 cubed (131310364174366723) is 2264107364771883725304715310248046771668095336448
-
The
square root of 13131036417436672 is 114590734.4310030679 -
The
cube root of 13131036417436672 is 235920.8559751659
Scales and comparisons
How big is 13131036417436672?- 13,131,036,417,436,672 seconds is equal to 417,526,341 years, 5 weeks, 5 days, 18 hours, 37 minutes, 52 seconds.
-
To count from 1 to 13,131,036,417,436,672 would take you about one billion, two hundred fifty-two million, five hundred seventy-nine thousand and twenty-three 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 13131036417436672 cubic inches would be around 19660.1 feet tall.
Recreational maths with 13131036417436672
- 13131036417436672 backwards is 27663471463013131
- The number of decimal digits it has is: 17
- The sum of 13131036417436672's digits is 58
- More coming soon!
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The information we have on file for 13131036417436672 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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