13131121620649984
13,131,121,620,649,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 13131121620649984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
13131121620649984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13131121620649984:
211 × 72 × 192 × 233 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 19 × 23 × 23 × 23 × 31 × 31 × 31)See below for interesting mathematical facts about the number 13131121620649984 from the Numbermatics database.
Names of 13131121620649984
- Cardinal: 13131121620649984 can be written as Thirteen quadrillion, one hundred thirty-one trillion, one hundred twenty-one billion, six hundred twenty million, six hundred forty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3131121620649984 × 1016
Factors of 13131121620649984
Divisors of 13131121620649984
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 14 16 19 23 28 31 32 38 46 49 56 62 64 76 92 98 112 124 128 133 152 161 184 196 217 224 248 256 266 304 322 361 368 392 434 437 448 496 512 529 532 589 608 644 713 722 736 784 868 874 896 931 961 992 1024 1058 1064 1127 1178 1216 1288 1426 1444 1472 1519 1568 1736 1748 1792 1862 1922 1984 2048 2116 2128 2254 2356 2432 2527 2576 2852 2888 2944 3038 3059 3136 3472 3496 3584 3703 3724 3844 3968 4123 4232 4256 4508 4712 4864 4991 5054 5152 5704 5776 5888 6076 6118 6272 6727 6944 6992 7168 7406 7448 7688 7936 8246 8303 8464 8512 9016 9424 9728 9982 10051 10108 10304 11191 11408 11552 11776 12152 12167 12236 12544 13454 13547 13888 13984 14336 14812 14896 15376 15872 16399 16492 16606 16928 17024 17689 18032 18259 18848 19456 19964 20102 20216 20608 21413 22103 22382 22816 23104 23552 24304 24334 24472 25088 25921 26908 27094 27776 27968 28861 29624 29791 29792 30752 31744 32798 32984 33212 33856 34048 34937 35378 36064 36518 37696 38912 39928 40204 40432 41216 42826 44206 44764 45632 46208 47089 47104 48608 48668 48944 50176 51842 53816 54188 55552 55936 57722 58121 59248 59582 59584 61504 63488 65596 65968 66424 67712 68096 69874 70357 70756 72128 73036 75392 78337 79856 80408 80864 82432 85169 85652 88412 89528 91264 92416 94178 94829 97216 97336 97888 100352 103684 107632 108376 111104 111872 114793 115444 116242 118496 119164 119168 123008 127813 131192 131936 132848 135424 136192 139748 140714 141512 144256 146072 150784 154721 156674 159712 160816 161728 164864 170338 171304 176824 179056 182528 184832 188356 189658 190969 194432 194672 195776 207368 208537 215264 216752 222208 223744 229586 230888 231173 232484 236992 238328 238336 246016 255626 257393 262384 263872 265696 270848 272384 279496 281428 283024 288512 292144 301568 309442 311581 313348 319424 321632 323456 329728 340676 342608 346921 353648 358112 365056 369664 376712 377177 379316 381938 388864 389344 391552 406847 414736 417074 419957 430528 433504 444416 447488 459172 461776 462346 464968 473984 476656 476672 492032 492499 508369 511252 514786 524768 527744 531392 541696 548359 558992 562856 566029 566048 577024 584288 596183 603136 618884 623162 626696 638848 643264 646912 663803 681352 685193 685216 693842 707296 716224 730112 739328 753424 754354 758632 763876 777728 778688 783104 803551 813694 829472 834148 839914 861056 867008 894691 894976 918344 923552 924692 929936 947968 953312 953344 984064 984998 1016738 1022504 1029572 1049536 1055488 1062784 1083047 1083392 1096718 1117984 1125712 1132058 1132096 1154048 1168576 1192366 1206272 1237768 1246324 1253392 1277696 1286528 1293824 1327606 1336783 1362704 1370386 1370432 1387684 1414592 1432448 1459759 1460224 1506848 1508708 1517264 1527752 1555456 1557376 1566208 1607102 1618211 1627388 1658944 1668296 1679828 1722112 1734016 1789382 1801751 1836688 1847104 1849384 1859872 1895936 1906624 1906688 1968128 1969996 2033476 2045008 2059144 2099072 2110976 2125568 2166094 2181067 2193436 2235968 2251424 2264116 2264192 2308096 2337152 2384732 2428447 2475536 2492648 2506784 2555392 2573056 2587648 2640239 2655212 2673566 2725408 2740772 2740864 2775368 2829184 2864896 2919518 2939699 3013696 3017416 3034528 3055504 3110912 3114752 3132416 3214204 3236422 3254776 3317888 3336592 3359656 3444224 3468032 3558583 3578764 3603502 3673376 3694208 3698768 3719744 3791872 3813248 3939992 3962203 4066952 4090016 4118288 4198144 4221952 4251136 4332188 4362134 4386872 4392287 4471936 4502848 4528232 4528384 4674304 4769464 4796351 4856894 4951072 4985296 5013568 5110784 5146112 5175296 5280478 5310424 5347132 5450816 5481544 5481728 5550736 5658368 5729792 5839036 5879398 5920039 6027392 6034832 6069056 6111008 6229504 6264832 6428408 6472844 6509552 6635776 6673184 6719312 6888448 6936064 7117166 7157528 7166363 7207004 7346752 7388416 7397536 7439488 7583744 7626496 7879984 7924406 7979183 8133904 8180032 8236576 8396288 8443904 8502272 8664376 8724268 8773744 8784574 8943872 9005696 9056464 9056768 9348608 9357481 9538928 9592702 9659011 9713788 9902144 9970592 10027136 10221568 10292224 10560956 10620848 10694264 10754551 10901632 10963088 10963456 11101472 11316736 11327477 11459584 11678072 11692487 11758796 11840078 12054784 12069664 12138112 12222016 12459008 12612257 12856816 12945688 13018667 13019104 13271552 13346368 13438624 13776896 13872128 14234332 14315056 14332726 14414008 14693504 14776832 14795072 14878976 15252992 15267469 15759439 15759968 15848812 15958366 16267808 16360064 16473152 16792576 16999129 17004544 17328752 17448536 17547488 17569148 17887744 18011392 18112928 18113536 18481673 18697216 18714962 19077856 19185404 19318022 19427576 19804288 19941184 20054272 20577893 20584448 21121912 21241696 21388528 21509102 21803264 21926176 21926912 22202944 22633472 22654954 22919168 23356144 23384974 23517592 23680156 24109568 24139328 24276224 24444032 24910081 24918016 25224514 25713632 25891376 26037334 26038208 26543104 26692736 26877248 27735421 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1555100771 1563919868 1594245184 1605265312 1614368896 1645672448 1657048064 1666389376 1721776504 1731482711 1765057168 1775066944 1777258024 1787336992 1821994496 1832327168 1834588928 1844993024 1893166156 1906252558 1954236032 1967744576 1978837384 2017208192 2028647936 2042670848 2096005387 2107891996 2148765248 2163618464 2175888512 2178574352 2218080256 2233412608 2248850944 2291727452 2320655288 2365654144 2395434728 2395515136 2409019424 2455731712 2472706816 2486729728 2537269679 2551658732 2569296926 2619117088 2633970304 2652177472 2703604736 2737731584 2753165056 2809214296 2899736776 2899834112 2916181408 2936339344 2989586432 2993276672 3010251776 3031059968 3088850044 3110201542 3127839736 3188490368 3210530624 3228737792 3314096128 3332778752 3443553008 3462965422 3530114336 3550133888 3554516048 3574673984 3643988992 3669177856 3689986048 3786332312 3812505116 3908472064 3935489152 3957674768 4034416384 4057295872 4085341696 4192010774 4215783992 4220987807 4297530496 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12124239872 12355400176 12440806168 12511358944 12753961472 12842122496 12914951168 13331115008 13343767906 13773749686 13774212032 13851861688 14120457344 14200535552 14218064192 14298695936 14672037709 14676711424 15145329248 15250020464 15633888256 15741956608 15830699072 16137665536 16341366784 16768043096 16863135968 16883951228 17190121984 17308947712 17407108096 17428594816 17760887753 17985078482 18333819616 18565242304 18925233152 19163477824 19164121088 19272155392 19781654528 20298157432 20413269856 20554375408 20952936704 21071762432 21217419776 21771410794 22025320448 22473714368 22756629916 23197894208 23198672896 23329451264 23490714752 23946213376 24240757954 24710800352 24881612336 25022717888 25507922944 25684244992 25829902336 26662230016 26687535812 27547499372 27548424064 27703723376 28240914688 28401071104 28436128384 28597391872 29344075418 29546914649 30290658496 30500040928 31267776512 31483913216 31661398144 32275331072 33536086192 33726271936 33767902456 34380243968 34617895424 34814216192 34857189632 35521775506 35970156964 36667639232 37130484608 37850466304 38326955648 38544310784 39824102353 40596314864 40826539712 41108750816 41905873408 42143524864 42434839552 43542821588 44947428736 45513259832 46395788416 46658902528 46981429504 48208123901 48481515908 49421600704 49763224672 50045435776 51015845888 51368489984 53375071624 55094998744 55096848128 55407446752 56481829376 56802142208 56872256768 57194783744 58688150836 59093829298 60581316992 61000081856 62967826432 63322796288 67072172384 67452543872 67535804912 68760487936 69235790848 69714379264 71043551012 71940313928 73335278464 74260969216 76653911296 77088621568 79648204706 81192629728 81653079424 82217501632 83811746816 84869679104 87085643176 89894857472 91026519664 92791576832 93317805056 93962859008 96416247802 96963031816 98843201408 99526449344 100090871552 102736979968 106750143248 110189997488 110193696256 110814893504 112963658752 113744513536 114389567488 117376301672 118187658596 121162633984 122000163712 126645592576 130850622017 134144344768 134905087744 135071609824 138471581696 139428758528 142087102024 143880627856 146670556928 148521938432 153307822592 154177243136 159296409412 162385259456 163306158848 164435003264 167623493632 174171286352 179789714944 182053039328 185583153664 186635610112 187925718016 192832495604 193926063632 197686402816 199052898688 200181743104 206828402543 213500286496 220379994976 220387392512 221629787008 225927317504 227489027072 234752603344 236375317192 242325267968 244000327424 253291185152 261701244034 268288689536 269810175488 270143219648 278768716471 278857517056 284174204048 287761255712 293341113856 297043876864 306615645184 318592818824 324770518912 326612317696 328870006528 337456867307 348342572704 359579429888 364106078656 371166307328 375851436032 385664991208 387852127264 395372805632 398105797376 400363486208 413656805086 427000572992 440759989952 440774785024 443259574016 454978054144 469505206688 472750634384 484650535936 488000654848 506582370304 523402488068 536577379072 539620350976 540286439296 557537432942 568348408096 575522511424 586682227712 594087753728 613231290368 637185637648 649541037824 653224635392 657740013056 674913734614 696685145408 719158859776 728212157312 742332614656 771329982416 775704254528 790745611264 796211594752 800726972416 827313610172 854001145984 881519979904 886519148032 915954354119 939010413376 945501268768 969301071872 976001309696 1046804976136 1073154758144 1079240701952 1080572878592 1115074865884 1136696816192 1151045022848 1173364455424 1274371275296 1299082075648 1306449270784 1315480026112 1349827469228 1393370290816 1456424314624 1542659964832 1551408509056 1581491222528 1592423189504 1654627220344 1708002291968 1763039959808 1773038296064 1831908708238 1878020826752 1891002537536 1952002619392 2093609952272 2146309516288 2161145757184 2230149731768 2273393632384 2302090045696 2548742550592 2598164151296 2630960052224 2699654938456 2786740581632 2912848629248 3085319929664 3102817018112 3184846379008 3309254440688 3416004583936 3526079919616 3546076592128 3663817416476 3756041653504 3782005075072 4187219904544 4292619032576 4322291514368 4460299463536 4546787264768 4604180091392 5097485101184 5196328302592 5399309876912 5573481163264 5825697258496 6170639859328 6205634036224 6411680478833 6618508881376 6832009167872 7052159839232 7327634832952 7512083307008 7564010150144 8374439809088 8644583028736 8920598927072 9093574529536 9208360182784 10194970202368 10798619753824 11146962326528 11651394516992 12341279718656 12411268072448 12823360957666 13237017762752 13664018335744 14104319678464 14655269665904 15024166614016 15128020300288 16748879618176 17841197854144 18187149059072 18416720365568 20389940404736 21597239507648 22293924653056 24682559437312 24822536144896 25646721915332 26474035525504 29310539331808 30048333228032 30256040600576 33497759236352 35682395708288 36374298118144 40779880809472 43194479015296 49365118874624 51293443830664 52948071051008 58621078663616 60512081201152 66995518472704 71364791416576 81559761618944 86388958030592 98730237749248 102586887661328 105896142102016 117242157327232 133991036945408 142729582833152 172777916061184 205173775322656 211792284204032 234484314654464 267982073890816 285459165666304 345555832122368 410347550645312 423584568408064 468968629308928 570918331332608 691111664244736 820695101290624 937937258617856 1641390202581248 1875874517235712 3282780405162496 6565560810324992 13131121620649984
- Sum of all divisors σ(n): 34822977249715200
- Sum of proper divisors (its aliquot sum) s(n): 21691855629065216
- 13131121620649984 is an abundant number, because the sum of its proper divisors (21691855629065216) is greater than itself. Its abundance is 8560734008415232
Bases of 13131121620649984
- Binary: 1011101010011010101111011111111011001110001000000000002
- Hexadecimal: 0x2EA6AF7FB38800
- Base-36: 3LALDZTF6KG
Squares and roots of 13131121620649984
- 13131121620649984 squared (131311216206499842) is 172426355016301462310530639200256
- 13131121620649984 cubed (131311216206499843) is 2264151438324425956122339719753349018124659195904
-
The
square root of 13131121620649984 is 114591106.2022266367 -
The
cube root of 13131121620649984 is 235921.3662464271
Scales and comparisons
How big is 13131121620649984?- 13,131,121,620,649,984 seconds is equal to 417,529,050 years, 16 weeks, 1 day, 1 hour, 53 minutes, 4 seconds.
-
To count from 1 to 13,131,121,620,649,984 would take you about one billion, two hundred fifty-two million, five hundred eighty-seven thousand, one hundred fifty 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 13131121620649984 cubic inches would be around 19660.1 feet tall.
Recreational maths with 13131121620649984
- 13131121620649984 backwards is 48994602612113131
- The number of decimal digits it has is: 17
- The sum of 13131121620649984's digits is 61
- More coming soon!
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"Number 13131121620649984 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 13131121620649984 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/13131121620649984/
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Numbermatics. 2024. "Number 13131121620649984 - Facts about the integer". https://numbermatics.com/n/13131121620649984/
The information we have on file for 13131121620649984 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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