13520384719536816128
13,520,384,719,536,816,128 is an even composite number composed of five prime numbers multiplied together.
13520384719536816128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13520384719536816128:
215 × 72 × 292 × 472 × 21292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 29 × 29 × 47 × 47 × 2129 × 2129)See below for interesting mathematical facts about the number 13520384719536816128 from the Numbermatics database.
Names of 13520384719536816128
- Cardinal: 13520384719536816128 can be written as Thirteen quintillion, five hundred twenty quadrillion, three hundred eighty-four trillion, seven hundred nineteen billion, five hundred thirty-six million, eight hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3520384719536816128 × 1019
Factors of 13520384719536816128
Divisors of 13520384719536816128
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 14 16 28 29 32 47 49 56 58 64 94 98 112 116 128 188 196 203 224 232 256 329 376 392 406 448 464 512 658 752 784 812 841 896 928 1024 1316 1363 1421 1504 1568 1624 1682 1792 1856 2048 2129 2209 2303 2632 2726 2842 3008 3136 3248 3364 3584 3712 4096 4258 4418 4606 5264 5452 5684 5887 6016 6272 6496 6728 7168 7424 8192 8516 8836 9212 9541 10528 10904 11368 11774 12032 12544 12992 13456 14336 14848 14903 15463 16384 17032 17672 18424 19082 21056 21808 22736 23548 24064 25088 25984 26912 28672 29696 29806 30926 32768 34064 35344 36848 38164 39527 41209 42112 43616 45472 47096 48128 50176 51968 53824 57344 59392 59612 61741 61852 64061 66787 68128 70688 73696 76328 79054 82418 84224 87232 90944 94192 96256 100063 100352 103936 104321 107648 108241 114688 118784 119224 123482 123704 128122 133574 136256 141376 147392 152656 158108 164836 168448 174464 181888 188384 192512 200126 200704 207872 208642 215296 216482 229376 237568 238448 246964 247408 256244 267148 272512 276689 282752 294784 305312 316216 329672 336896 348928 363776 376768 385024 400252 401408 415744 417284 430592 432187 432964 448427 475136 476896 493928 494816 512488 534296 545024 553378 565504 589568 610624 632432 659344 673792 697856 700441 727552 753536 770048 800504 802816 831488 834568 861184 864374 865928 896854 950272 953792 987856 989632 1024976 1068592 1090048 1106756 1131008 1179136 1221248 1264864 1318688 1347584 1395712 1400882 1455104 1507072 1540096 1601008 1605632 1662976 1669136 1722368 1728748 1731856 1790489 1793708 1857769 1907584 1936823 1975712 1979264 2049952 2137184 2180096 2213512 2262016 2358272 2442496 2529728 2637376 2695168 2791424 2801764 2901827 2910208 3014144 3025309 3138989 3202016 3325952 3338272 3444736 3457496 3463712 3580978 3587416 3715538 3815168 3873646 3951424 3958528 4099904 4274368 4360192 4427024 4524032 4532641 4702961 4716544 4884992 4903087 5059456 5274752 5390336 5582848 5603528 5803654 5820416 6028288 6050618 6277978 6404032 6651904 6676544 6889472 6914992 6927424 7161956 7174832 7431076 7630336 7747292 7902848 7917056 8199808 8548736 8720384 8854048 9048064 9065282 9405922 9433088 9769984 9806174 10118912 10549504 10780672 11165696 11207056 11607308 11640832 12056576 12101236 12533423 12555956 12808064 13004383 13353088 13778944 13829984 13854848 14323912 14349664 14862152 15260672 15494584 15805696 15834112 16399616 17097472 17440768 17708096 18096128 18130564 18811844 18866176 19539968 19612348 20237824 20312789 21099008 22331392 22414112 23214616 23281664 24113152 24202472 25066846 25111912 25616128 26008766 26706176 27557888 27659968 27709696 28647824 28699328 29724304 30521344 30989168 31611392 31668224 31728487 32799232 32920727 34194944 34881536 35416192 36192256 36261128 37623688 37732352 39079936 39224696 40475648 40625578 42198016 44662784 44828224 46429232 46563328 48226304 48404944 50133692 50223824 51232256 52017532 53412352 55319936 55419392 57295648 57398656 59448608 61042688 61978336 63222784 63336448 63456974 65598464 65841454 68389888 69763072 70832384 72384512 72522256 75247376 75464704 78159872 78449392 80951296 81251156 84152983 84396032 87733961 89656448 91030681 92858464 96452608 96809888 100267384 100447648 102464512 104035064 106824704 110639872 110838784 114591296 114797312 118897216 122085376 123956672 126445568 126672896 126913948 131196928 131446589 131682908 136385869 136779776 141664768 142189523 145044512 150494752 156319744 156898784 161902592 162502312 168305966 168792064 175467922 179312896 182061362 185716928 192905216 193619776 200534768 200895296 204929024 208070128 213034127 213649408 221279744 221677568 222099409 229182592 229594624 230445089 237794432 244170752 247913344 252891136 253345792 253827896 262393856 262893178 263365816 272771738 273559552 283329536 284379046 290089024 300989504 312639488 313797568 323805184 325004624 336611932 337584128 350935844 358625792 364122724 371433856 387239552 401069536 401790592 409858048 416140256 426068254 427298816 442559488 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243964869184 244403477248 253132172864 259919765504 263903754688 269202614272 269686595584 279318259712 280352911132 290365515101 291204143104 301604291072 302721494467 320403327008 332804734976 334037511136 344690618368 345967422248 358323401614 359358304256 372861669376 373571205938 381757155584 387608639698 395391339712 410695204864 412216503104 426127622144 426938521072 427706085184 436293892096 442981302512 454859589632 471104574976 471951542272 487929738368 488806954496 490617594481 506264345728 519839531008 527807509376 538405228544 539373191168 558636519424 560705822264 580731030202 582408286208 603208582144 605442988934 640806654016 665609469952 668075022272 689381236736 691934844496 716646803228 718716608512 745723338752 747142411876 763514311168 775217279396 790782679424 824433006208 853877042144 855412170368 872587784192 885962605024 909719179264 942209149952 943903084544 975859476736 977613908992 981235188962 1012528691456 1039679062016 1055615018752 1076810457088 1078746382336 1117273038848 1121411644528 1161462060404 1164816572416 1206417164288 1210885977868 1254131905649 1281613308032 1336150044544 1378762473472 1383869688992 1433293606456 1437433217024 1491446677504 1494284823752 1527028622336 1550434558792 1581565358848 1648866012416 1707754084288 1710824340736 1745175568384 1771925210048 1819438358528 1884418299904 1887806169088 1951718953472 1955227817984 1962470377924 2025057382912 2032558605707 2111230037504 2153620914176 2234546077696 2242823289056 2322924120808 2329633144832 2412834328576 2421771955736 2508263811298 2563226616064 2672300089088 2757524946944 2767739377984 2866587212912 2874866434048 2982893355008 2988569647504 3054057244672 3100869117584 3163130717696 3297732024832 3415508168576 3421648681472 3490351136768 3543850420096 3638876717056 3768836599808 3775612338176 3903437906944 3910455635968 3924940755848 4050114765824 4065117211414 4222460075008 4307241828352 4469092155392 4485646578112 4645848241616 4659266289664 4825668657152 4843543911472 5016527622596 5126453232128 5344600178176 5535478755968 5733174425824 5977139295008 6108114489344 6201738235168 6326261435392 6595464049664 6831016337152 6843297362944 6980702273536 7087700840192 7277753434112 7537673199616 7551224676352 7806875813888 7820911271936 7849881511696 8100229531648 8130234422828 8420599937929 8444920150016 8778923339543 8971293156224 9291696483232 9651337314304 9687087822944 10033055245192 10252906464256 10689200356352 11070957511936 11466348851648 11954278590016 12216228978688 12403476470336 12652522870784 13190928099328 13662032674304 13686594725888 14175401680384 14227910239949 15075346399232 15613751627776 15641822543872 15699763023392 16200459063296 16260468845656 16841199875858 16889840300032 17557846679086 17942586312448 18583392966464 19302674628608 19374175645888 20066110490384 20505812928512 21378400712704 22141915023872 22932697703296 23908557180032 24432457957376 24806952940672 25305045741568 26381856198656 27324065348608 27373189451776 28350803360768 28455820479898 30150692798464 31227503255552 31283645087744 31399526046784 32400918126592 32520937691312 33682399751716 33779680600064 35115693358172 35885172624896 37166785932928 38748351291776 40132220980768 41011625857024 42756801425408 44283830047744 45865395406592 47817114360064 48864915914752 49613905881344 50610091483136 52763712397312 54648130697216 54746378903552 56701606721536 56911640959796 58944199565503 62455006511104 62799052093568 64801836253184 65041875382624 67364799503432 67559361200128 70231386716344 71770345249792 74333571865856 77496702583552 80264441961536 82023251714048 85513602850816 88567660095488 91730790813184 95634228720128 99227811762688 101220182966272 105527424794624 109296261394432 109492757807104 113403213443072 113823281919592 117888399131006 124910013022208 125598104187136 129603672506368 130083750765248 134729599006864 135118722400256 140462773432688 143540690499584 148667143731712 154993405167104 160528883923072 164046503428096 171027205701632 177135320190976 183461581626368 191268457440256 198455623525376 202440365932544 211054849589248 218592522788864 218985515614208 226806426886144 227646563839184 235776798262012 251196208374272 260167501530496 269459198013728 280925546865376 287081380999168 297334287463424 309986810334208 321057767846144 328093006856192 342054411403264 354270640381952 366923163252736 382536914880512 396911247050752 412609396958521 437185045577728 453612853772288 455293127678368 471553596524024 502392416748544 520335003060992 538918396027456 561851093730752 574162761998336 594668574926848 619973620668416 642115535692288 708541280763904 733846326505472 765073829761024 793822494101504 825218793917042 874370091155456 907225707544576 910586255356736 943107193048048 1004784833497088 1040670006121984 1077836792054912 1123702187461504 1148325523996672 1189337149853696 1239947241336832 1284231071384576 1417082561527808 1467692653010944 1530147659522048 1587644988203008 1650437587834084 1821172510713472 1886214386096096 2009569666994176 2081340012243968 2155673584109824 2247404374923008 2296651047993344 2378674299707392 2479894482673664 2568462142769152 2935385306021888 3060295319044096 3175289976406016 3300875175668168 3642345021426944 3772428772192192 4019139333988352 4162680024487936 4311347168219648 4494808749846016 4757348599414784 4959788965347328 5136924285538304 5870770612043776 6120590638088192 6350579952812032 6601750351336336 7284690042853888 7544857544384384 8038278667976704 8325360048975872 8622694336439296 8989617499692032 9514697198829568 9919577930694656 10273848571076608 13203500702672672 14569380085707776 15089715088768768 16076557335953408 16650720097951744 17245388672878592 17979234999384064 20547697142153216 26407001405345344 29138760171415552 30179430177537536 33301440195903488 34490777345757184 35958469998768128 41095394284306432 52814002810690688 58277520342831104 60358860355075072 66602880391806976 68981554691514368 71916939997536256 105628005621381376 116555040685662208 120717720710150144 137963109383028736 143833879995072512 211256011242762752 233110081371324416 241435441420300288 275926218766057472 287667759990145024 422512022485525504 466220162742648832 482870882840600576 845024044971051008 965741765681201152 1690048089942102016 1931483531362402304 3380096179884204032 6760192359768408064 13520384719536816128
- Sum of all divisors σ(n): 33300690142801383315
- Sum of proper divisors (its aliquot sum) s(n): 19780305423264567187
- 13520384719536816128 is an abundant number, because the sum of its proper divisors (19780305423264567187) is greater than itself. Its abundance is 6259920703727751059
Bases of 13520384719536816128
- Binary: 10111011101000100000111001000100101100101001110010000000000000002
- Hexadecimal: 0xBBA20E44B29C8000
- Base-36: 2UPZ4DTUFKRNK
Squares and roots of 13520384719536816128
- 13520384719536816128 squared (135203847195368161282) is 182800802964284630109136067619280912384
- 13520384719536816128 cubed (135203847195368161283) is 2471537183117374234936708788356574998809540017626286129152
-
The
square root of 13520384719536816128 is 3677007576.7581464325 -
The
cube root of 13520384719536816128 is 2382299.4465406299
Scales and comparisons
How big is 13520384719536816128?- 13,520,384,719,536,816,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,520,384,719,536,816,128 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 13520384719536816128 cubic inches would be around 198525 feet tall.
Recreational maths with 13520384719536816128
- 13520384719536816128 backwards is 82161863591748302531
- The number of decimal digits it has is: 20
- The sum of 13520384719536816128's digits is 83
- More coming soon!
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"Number 13520384719536816128 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 13520384719536816128 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/13520384719536816128/
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The information we have on file for 13520384719536816128 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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