20984842735271997120
20,984,842,735,271,997,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 20984842735271997120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
20984842735271997120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 20984842735271997120:
26 × 33 × 5 × 7 × 11 × 2557 × 12335890997
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 2557 × 12335890997)See below for interesting mathematical facts about the number 20984842735271997120 from the Numbermatics database.
Names of 20984842735271997120
- Cardinal: 20984842735271997120 can be written as Twenty quintillion, nine hundred eighty-four quadrillion, eight hundred forty-two trillion, seven hundred thirty-five billion, two hundred seventy-one million, nine hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.098484273527199712 × 1019
Factors of 20984842735271997120
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 12335893582
Divisors of 20984842735271997120
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 165 168 176 180 189 192 198 210 216 220 224 231 240 252 264 270 280 288 297 308 315 320 330 336 352 360 378 385 396 420 432 440 448 462 480 495 504 528 540 560 576 594 616 630 660 672 693 704 720 756 770 792 840 864 880 924 945 960 990 1008 1056 1080 1120 1155 1188 1232 1260 1320 1344 1386 1440 1485 1512 1540 1584 1680 1728 1760 1848 1890 1980 2016 2079 2112 2160 2240 2310 2376 2464 2520 2557 2640 2772 2880 2970 3024 3080 3168 3360 3465 3520 3696 3780 3960 4032 4158 4320 4620 4752 4928 5040 5114 5280 5544 5940 6048 6160 6336 6720 6930 7392 7560 7671 7920 8316 8640 9240 9504 10080 10228 10395 10560 11088 11880 12096 12320 12785 13860 14784 15120 15342 15840 16632 17899 18480 19008 20160 20456 20790 22176 23013 23760 24640 25570 27720 28127 30240 30684 31680 33264 35798 36960 38355 40912 41580 44352 46026 47520 51140 53697 55440 56254 60480 61368 66528 69039 71596 73920 76710 81824 83160 84381 89495 92052 95040 102280 107394 110880 112508 115065 122736 133056 138078 140635 143192 153420 161091 163648 166320 168762 178990 184104 196889 204560 214788 221760 225016 230130 245472 253143 268485 276156 281270 286384 306840 322182 332640 337524 345195 357980 368208 393778 409120 421905 429576 450032 460260 483273 490944 506286 536970 552312 562540 572768 590667 613680 644364 665280 675048 690390 715960 736416 759429 787556 805455 818240 843810 859152 900064 920520 966546 984445 1012572 1073940 1104624 1125080 1145536 1181334 1227360 1265715 1288728 1350096 1380780 1431920 1472832 1518858 1575112 1610910 1687620 1718304 1772001 1800128 1841040 1933092 1968890 2025144 2147880 2209248 2250160 2362668 2416365 2454720 2531430 2577456 2700192 2761560 2863840 2953335 3037716 3150224 3221820 3375240 3436608 3544002 3682080 3797145 3866184 3937780 4050288 4295760 4418496 4500320 4725336 4832730 5062860 5154912 5316003 5400384 5523120 5727680 5906670 6075432 6300448 6443640 6750480 7088004 7364160 7594290 7732368 7875560 8100576 8591520 8860005 9000640 9450672 9665460 10125720 10309824 10632006 11046240 11813340 12150864 12600896 12887280 13500960 14176008 15188580 15464736 15751120 16201152 17183040 17720010 18901344 19330920 20251440 21264012 22092480 23626680 24301728 25774560 26580015 27001920 28352016 30377160 30929472 31502240 35440020 37802688 38661840 40502880 42528024 47253360 48603456 51549120 53160030 56704032 60754320 63004480 70880040 77323680 81005760 85056048 94506720 106320060 113408064 121508640 141760080 154647360 170112096 189013440 212640120 243017280 283520160 340224192 425280240 567040320 850560480 1701120960 12335890997 24671781994 37007672991 49343563988 61679454985 74015345982 86351236979 98687127976 111023018973 123358909970 135694800967 148030691964 172702473958 185038364955 197374255952 222046037946 246717819940 259053710937 271389601934 296061383928 333069056919 345404947916 370076729910 394748511904 407084402901 431756184895 444092075892 493435639880 518107421874 542779203868 555115094865 592122767856 666138113838 678474004835 690809895832 740153459820 777161132811 789497023808 814168805802 863512369790 888184151784 949863606769 986871279760 1036214843748 1085558407736 1110230189730 1184245535712 1221253208703 1295268554685 1332276227676 1356948009670 1381619791664 1480306919640 1554322265622 1628337611604 1665345284595 1727024739580 1776368303568 1899727213538 1973742559520 2035422014505 2072429687496 2171116815472 2220460379460 2331483398433 2368491071424 2442506417406 2590537109370 2664552455352 2713896019340 2763239583328 2849590820307 2960613839280 3108644531244 3256675223208 3330690569190 3454049479160 3552736607136 3663759626109 3799454427076 3885805664055 3947485119040 4070844029010 4144859374992 4342233630944 4440920758920 4662966796866 4749318033845 4885012834812 5181074218740 5329104910704 5427792038680 5526479166656 5699181640614 5921227678560 6106266043515 6217289062488 6513350446416 6661381138380 6908098958320 7105473214272 7327519252218 7598908854152 7771611328110 8141688058020 8289718749984 8548772460921 8684467261888 8881841517840 9325933593732 9498636067690 9770025669624 10362148437480 10658209821408 10855584077360 11398363281228 11657416992165 11842455357120 12212532087030 12434578124976 13026700892832 13322762276760 13816197916640 14247954101535 14655038504436 15197817708304 15543222656220 16283376116040 16579437499968 17097544921842 17763683035680 18318798130545 18651867187464 18997272135380 19540051339248 20724296874960 21316419642816 21711168154720 22796726562456 23314833984330 24425064174060 24869156249952 25646317382763 26053401785664 26645524553520 27632395833280 28495908203070 29310077008872 30395635416608 31086445312440 31542873279329 32566752232080 34195089843684 35527366071360 36637596261090 37303734374928 37994544270760 39080102678496 41448593749920 42743862304605 43422336309440 45593453124912 46629667968660 48850128348120 49738312499904 51292634765526 53291049107040 56991816406140 58620154017744 60791270833216 62172890624880 63085746558658 65133504464160 68390179687368 73275192522180 74607468749856 75989088541520 78160205356992 82897187499840 85487724609210 91186906249824 93259335937320 94628619837987 97700256696240 102585269531052 106582098214080 113983632812280 117240308035488 124345781249760 126171493117316 128231586913815 130267008928320 136780359374736 146550385044360 149214937499712 151978177083040 157714366396645 170975449218420 182373812499648 186518671874640 189257239675974 195400513392480 205170539062104 220800112955303 227967265624560 234480616070976 248691562499520 252342986234632 256463173827630 273560718749472 283885859513961 293100770088720 303956354166080 315428732793290 341950898436840 346971606072619 373037343749280 378514479351948 390801026784960 410341078124208 441600225910606 455934531249120 473143099189935 504685972469264 512926347655260 547121437498944 567771719027922 586201540177440 630857465586580 662400338865909 683901796873680 693943212145238 746074687498560 757028958703896 820682156248416 851657578541883 883200451821212 911869062498240 946286198379870 1009371944938528 1025852695310520 1040914818217857 1104000564776515 1135543438055844 1172403080354880 1261714931173160 1324800677731818 1367803593747360 1387886424290476 1419429297569805 1514057917407792 1641364312496832 1703315157083766 1734858030363095 1766400903642424 1892572396759740 1987201016597727 2018743889877056 2051705390621040 2081829636435714 2208001129553030 2271086876111688 2428801242508333 2523429862346320 2649601355463636 2735607187494720 2775772848580952 2838858595139610 3028115834815584 3122744454653571 3312001694329545 3406630314167532 3469716060726190 3532801807284848 3785144793519480 3974402033195454 4103410781242080 4163659272871428 4258287892709415 4416002259106060 4542173752223376 4857602485016666 5046859724692640 5204574091089285 5299202710927272 5551545697161904 5677717190279220 5961603049793181 6056231669631168 6245488909307142 6624003388659090 6813260628335064 6939432121452380 7065603614569696 7286403727524999 7570289587038960 7948804066390908 8206821562484160 8327318545742856 8516575785418830 8832004518212120 9084347504446752 9368233363960713 9715204970033332 9936005082988635 10093719449385280 10409148182178570 10598405421854544 11103091394323808 11355434380558440 11923206099586362 12144006212541665 12490977818614284 13248006777318180 13626521256670128 13878864242904760 14131207229139392 14572807455049998 15140579174077920 15613722273267855 15897608132781816 16654637091485712 17033151570837660 17664009036424240 18168695008893504 18736466727921426 19430409940066664 19872010165977270 20818296364357140 21196810843709088 21859211182574997 22206182788647616 22710868761116880 23846412199172724 24288012425083330 24981955637228568 26496013554636360 27253042513340256 27757728485809520 29145614910099996 29808015248965905 30281158348155840 31227444546535710 31795216265563632 33309274182971424 34066303141675320 35328018072848480 36432018637624995 37472933455842852 38860819880133328 39744020331954540 41636592728714280 42393621687418176 43718422365149994 45421737522233760 46841166819803565 47692824398345448 48576024850166660 49963911274457136 52992027109272720 54506085026680512 55515456971619040 58291229820199992 59616030497931810 62454889093071420 63590432531127264 65577633547724991 66618548365942848 68132606283350640 70656036145696960 72864037275249990 74945866911685704 77721639760266656 79488040663909080 83273185457428560 87436844730299988 90843475044467520 93682333639607130 95385648796690896 97152049700333320 99927822548914272 105984054218545440 109296055912874985 111030913943238080 116582459640399984 119232060995863620 124909778186142840 127180865062254528 131155267095449982 136265212566701280 145728074550499980 149891733823371408 155443279520533312 158976081327818160 166546370914857120 174873689460599976 187364667279214260 190771297593381792 194304099400666640 199855645097828544 211968108437090880 218592111825749970 233164919280799968 238464121991727240 249819556372285680 262310534190899964 272530425133402560 291456149100999960 299783467646742816 317952162655636320 327888167738624955 333092741829714240 349747378921199952 374729334558428520 381542595186763584 388608198801333280 437184223651499940 466329838561599936 476928243983454480 499639112744571360 524621068381799928 582912298201999920 599566935293485632 635904325311272640 655776335477249910 699494757842399904 749458669116857040 777216397602666560 874368447302999880 953856487966908960 999278225489142720 1049242136763599856 1165824596403999840 1311552670954499820 1398989515684799808 1498917338233714080 1748736894605999760 1907712975933817920 2098484273527199712 2331649192807999680 2623105341908999640 2997834676467428160 3497473789211999520 4196968547054399424 5246210683817999280 6994947578423999040 10492421367635998560 20984842735271997120
- Sum of all divisors σ(n): 92333066456592414720
- Sum of proper divisors (its aliquot sum) s(n): 71348223721320417600
- 20984842735271997120 is an abundant number, because the sum of its proper divisors (71348223721320417600) is greater than itself. Its abundance is 50363380986048420480
Bases of 20984842735271997120
- Binary: 100100011001110010010001101001001000001110101001011101110110000002
- Hexadecimal: 0x1233923490752EEC0
- Base-36: 4FFL5WYNXLIO0
Squares and roots of 20984842735271997120
- 20984842735271997120 squared (209848427352719971202) is 440363624624097913800219828833288294400
- 20984842735271997120 cubed (209848427352719971203) is 9240961409071045849989715031646841439709928560206512128000
-
The
square root of 20984842735271997120 is 4580921603.2663118607 -
The
cube root of 20984842735271997120 is 2758260.2429027701
Scales and comparisons
How big is 20984842735271997120?- 20,984,842,735,271,997,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 20,984,842,735,271,997,120 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 20984842735271997120 cubic inches would be around 229855 feet tall.
Recreational maths with 20984842735271997120
- 20984842735271997120 backwards is 02179917253724848902
- 20984842735271997120 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 20984842735271997120's digits is 90
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 20984842735271997120 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 20984842735271997120 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/20984842735271997120/
Chicago style:
Numbermatics. 2024. "Number 20984842735271997120 - Facts about the integer". https://numbermatics.com/n/20984842735271997120/
The information we have on file for 20984842735271997120 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 20984842735271997120, math, Factors of 20984842735271997120, curriculum, school, college, exams, university, Prime factorization of 20984842735271997120, STEM, science, technology, engineering, physics, economics, calculator, twenty quintillion, nine hundred eighty-four quadrillion, eight hundred forty-two trillion, seven hundred thirty-five billion, two hundred seventy-one million, nine hundred ninety-seven thousand, one hundred twenty.