13662993908862720000
13,662,993,908,862,720,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13662993908862720000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
13662993908862720000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13662993908862720000:
211 × 33 × 54 × 197 × 2006808421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 197 × 2006808421)See below for interesting mathematical facts about the number 13662993908862720000 from the Numbermatics database.
Names of 13662993908862720000
- Cardinal: 13662993908862720000 can be written as Thirteen quintillion, six hundred sixty-two quadrillion, nine hundred ninety-three trillion, nine hundred eight billion, eight hundred sixty-two million, seven hundred twenty thousand.
Scientific notation
- Scientific notation: 1.366299390886272 × 1019
Factors of 13662993908862720000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 2006808628
Divisors of 13662993908862720000
- Number of divisors d(n): 960
-
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 90 96 100 108 120 125 128 135 144 150 160 180 192 197 200 216 225 240 250 256 270 288 300 320 360 375 384 394 400 432 450 480 500 512 540 576 591 600 625 640 675 720 750 768 788 800 864 900 960 985 1000 1024 1080 1125 1152 1182 1200 1250 1280 1350 1440 1500 1536 1576 1600 1728 1773 1800 1875 1920 1970 2000 2048 2160 2250 2304 2364 2400 2500 2560 2700 2880 2955 3000 3072 3152 3200 3375 3456 3546 3600 3750 3840 3940 4000 4320 4500 4608 4728 4800 4925 5000 5120 5319 5400 5625 5760 5910 6000 6144 6304 6400 6750 6912 7092 7200 7500 7680 7880 8000 8640 8865 9000 9216 9456 9600 9850 10000 10240 10638 10800 11250 11520 11820 12000 12608 12800 13500 13824 14184 14400 14775 15000 15360 15760 16000 16875 17280 17730 18000 18432 18912 19200 19700 20000 21276 21600 22500 23040 23640 24000 24625 25216 25600 26595 27000 27648 28368 28800 29550 30000 30720 31520 32000 33750 34560 35460 36000 37824 38400 39400 40000 42552 43200 44325 45000 46080 47280 48000 49250 50432 51200 53190 54000 55296 56736 57600 59100 60000 63040 64000 67500 69120 70920 72000 73875 75648 76800 78800 80000 85104 86400 88650 90000 92160 94560 96000 98500 100864 106380 108000 113472 115200 118200 120000 123125 126080 128000 132975 135000 138240 141840 144000 147750 151296 153600 157600 160000 170208 172800 177300 180000 189120 192000 197000 201728 212760 216000 221625 226944 230400 236400 240000 246250 252160 256000 265950 270000 276480 283680 288000 295500 302592 315200 320000 340416 345600 354600 360000 369375 378240 384000 394000 403456 425520 432000 443250 453888 460800 472800 480000 492500 504320 531900 540000 567360 576000 591000 605184 630400 640000 664875 680832 691200 709200 720000 738750 756480 768000 788000 851040 864000 886500 907776 945600 960000 985000 1008640 1063800 1080000 1108125 1134720 1152000 1182000 1210368 1260800 1280000 1329750 1361664 1382400 1418400 1440000 1477500 1512960 1576000 1702080 1728000 1773000 1815552 1891200 1920000 1970000 2017280 2127600 2160000 2216250 2269440 2304000 2364000 2521600 2659500 2723328 2836800 2880000 2955000 3025920 3152000 3324375 3404160 3456000 3546000 3631104 3782400 3840000 3940000 4255200 4320000 4432500 4538880 4728000 5043200 5319000 5446656 5673600 5760000 5910000 6051840 6304000 6648750 6808320 6912000 7092000 7564800 7880000 8510400 8640000 8865000 9077760 9456000 10086400 10638000 10893312 11347200 11520000 11820000 12608000 13297500 13616640 14184000 15129600 15760000 17020800 17280000 17730000 18155520 18912000 21276000 22694400 23640000 25216000 26595000 27233280 28368000 30259200 31520000 34041600 34560000 35460000 37824000 42552000 45388800 47280000 50432000 53190000 54466560 56736000 63040000 68083200 70920000 75648000 85104000 90777600 94560000 106380000 113472000 126080000 136166400 141840000 151296000 170208000 189120000 212760000 226944000 252160000 272332800 283680000 340416000 378240000 425520000 453888000 567360000 680832000 756480000 851040000 1134720000 1361664000 1702080000 2006808421 2269440000 3404160000 4013616842 6020425263 6808320000 8027233684 10034042105 12040850526 16054467368 18061275789 20068084210 24081701052 30102126315 32108934736 36122551578 40136168420 48163402104 50170210525 54183827367 60204252630 64217869472 72245103156 80272336840 90306378945 96326804208 100340421050 108367654734 120408505260 128435738944 144490206312 150510631575 160544673680 180612757890 192653608416 200680842100 216735309468 240817010520 250851052625 256871477888 270919136835 288980412624 301021263150 321089347360 361225515780 385307216832 395341258937 401361684200 433470618936 451531894725 481634021040 501702105250 513742955776 541838273670 577960825248 602042526300 642178694720 722451031560 752553157875 770614433664 790682517874 802723368400 866941237872 903063789450 963268042080 1003404210500 1027485911552 1083676547340 1155921650496 1186023776811 1204085052600 1254255263125 1284357389440 1354595684175 1444902063120 1505106315750 1541228867328 1581365035748 1605446736800 1733882475744 1806127578900 1926536084160 1976706294685 2006808421000 2054971823104 2167353094680 2257659473625 2311843300992 2372047553622 2408170105200 2508510526250 2568714778880 2709191368350 2889804126240 3010212631500 3082457734656 3162730071496 3210893473600 3467764951488 3558071330433 3612255157800 3762765789375 3853072168320 3953412589370 4013616842000 4109943646208 4334706189360 4515318947250 4623686601984 4744095107244 4816340210400 5017021052500 5137429557760 5418382736700 5779608252480 5930118884055 6020425263000 6164915469312 6325460142992 6421786947200 6772978420875 6935529902976 7116142660866 7224510315600 7525531578750 7706144336640 7906825178740 8027233684000 8669412378720 9030637894500 9247373203968 9488190214488 9632680420800 9883531473425 10034042105000 10274859115520 10674213991299 10836765473400 11288297368125 11559216504960 11860237768110 12040850526000 12329830938624 12650920285984 12843573894400 13545956841750 13871059805952 14232285321732 14449020631200 15051063157500 15412288673280 15813650357480 16054467368000 17338824757440 17790356652165 18061275789000 18494746407936 18976380428976 19265360841600 19767062946850 20068084210000 20549718231040 21348427982598 21673530946800 22576594736250 23118433009920 23720475536220 24081701052000 25301840571968 25687147788800 27091913683500 27742119611904 28464570643464 28898041262400 29650594420275 30102126315000 30824577346560 31627300714960 32108934736000 33864892104375 34677649514880 35580713304330 36122551578000 36989492815872 37952760857952 38530721683200 39534125893700 40136168420000 42696855965196 43347061893600 45153189472500 46236866019840 47440951072440 48163402104000 49417657367125 50603681143936 51374295577600 53371069956495 54183827367000 55484239223808 56929141286928 57796082524800 59301188840550 60204252630000 61649154693120 63254601429920 64217869472000 67729784208750 69355299029760 71161426608660 72245103156000 75905521715904 77061443366400 79068251787400 80272336840000 85393711930392 86694123787200 88951783260825 90306378945000 92473732039680 94881902144880 96326804208000 98835314734250 101207362287872 102748591155200 106742139912990 108367654734000 110968478447616 113858282573856 115592165049600 118602377681100 120408505260000 126509202859840 128435738944000 135459568417500 138710598059520 142322853217320 144490206312000 148252972101375 151811043431808 154122886732800 158136503574800 160544673680000 170787423860784 173388247574400 177903566521650 180612757890000 184947464079360 189763804289760 192653608416000 197670629468500 202414724575744 213484279825980 216735309468000 227716565147712 231184330099200 237204755362200 240817010520000 247088286835625 253018405719680 256871477888000 266855349782475 270919136835000 277421196119040 284645706434640 288980412624000 296505944202750 303622086863616 308245773465600 316273007149600 321089347360000 341574847721568 346776495148800 355807133043300 361225515780000 379527608579520 385307216832000 395341258937000 404829449151488 426968559651960 433470618936000 444758916304125 455433130295424 462368660198400 474409510724400 481634021040000 494176573671250 506036811439360 513742955776000 533710699564950 541838273670000 554842392238080 569291412869280 577960825248000 593011888405500 607244173727232 632546014299200 642178694720000 683149695443136 693552990297600 711614266086600 722451031560000 741264860506875 759055217159040 770614433664000 790682517874000 809658898302976 853937119303920 866941237872000 889517832608250 910866260590848 924737320396800 948819021448800 963268042080000 988353147342500 1012073622878720 1067421399129900 1083676547340000 1138582825738560 1155921650496000 1186023776811000 1214488347454464 1265092028598400 1284357389440000 1334276748912375 1366299390886272 1387105980595200 1423228532173200 1444902063120000 1482529721013750 1518110434318080 1541228867328000 1581365035748000 1707874238607840 1733882475744000 1779035665216500 1821732521181696 1897638042897600 1926536084160000 1976706294685000 2024147245757440 2134842798259800 2167353094680000 2223794581520625 2277165651477120 2311843300992000 2372047553622000 2428976694908928 2530184057196800 2568714778880000 2668553497824750 2732598781772544 2774211961190400 2846457064346400 2889804126240000 2965059442027500 3036220868636160 3162730071496000 3415748477215680 3467764951488000 3558071330433000 3643465042363392 3795276085795200 3853072168320000 3953412589370000 4048294491514880 4269685596519600 4334706189360000 4447589163041250 4554331302954240 4623686601984000 4744095107244000 5060368114393600 5337106995649500 5465197563545088 5692914128692800 5779608252480000 5930118884055000 6072441737272320 6325460142992000 6671383744561875 6831496954431360 6935529902976000 7116142660866000 7286930084726784 7590552171590400 7706144336640000 7906825178740000 8539371193039200 8669412378720000 8895178326082500 9108662605908480 9488190214488000 10120736228787200 10674213991299000 10930395127090176 11385828257385600 11559216504960000 11860237768110000 12144883474544640 12650920285984000 13342767489123750 13662993908862720 13871059805952000 14232285321732000 15181104343180800 15813650357480000 17078742386078400 17338824757440000 17790356652165000 18217325211816960 18976380428976000 20241472457574400 21348427982598000 21860790254180352 22771656514771200 23118433009920000 23720475536220000 25301840571968000 26685534978247500 27325987817725440 28464570643464000 30362208686361600 31627300714960000 34157484772156800 34677649514880000 35580713304330000 36434650423633920 37952760857952000 42696855965196000 45543313029542400 47440951072440000 50603681143936000 53371069956495000 54651975635450880 56929141286928000 60724417372723200 63254601429920000 68314969544313600 69355299029760000 71161426608660000 75905521715904000 85393711930392000 91086626059084800 94881902144880000 101207362287872000 106742139912990000 109303951270901760 113858282573856000 126509202859840000 136629939088627200 142322853217320000 151811043431808000 170787423860784000 182173252118169600 189763804289760000 213484279825980000 227716565147712000 253018405719680000 273259878177254400 284645706434640000 303622086863616000 341574847721568000 379527608579520000 426968559651960000 455433130295424000 506036811439360000 546519756354508800 569291412869280000 683149695443136000 759055217159040000 853937119303920000 910866260590848000 1138582825738560000 1366299390886272000 1518110434318080000 1707874238607840000 2277165651477120000 2732598781772544000 3415748477215680000 4554331302954240000 6831496954431360000 13662993908862720000
- Sum of all divisors σ(n): 50831864116690456800
- Sum of proper divisors (its aliquot sum) s(n): 37168870207827736800
- 13662993908862720000 is an abundant number, because the sum of its proper divisors (37168870207827736800) is greater than itself. Its abundance is 23505876298965016800
Bases of 13662993908862720000
- Binary: 10111101100111001011010010010010000010100001011010011000000000002
- Hexadecimal: 0xBD9CB4920A169800
- Base-36: 2VSZB4EZS2DC0
Squares and roots of 13662993908862720000
- 13662993908862720000 squared (136629939088627200002) is 186677402553619788673363805798400000000
- 13662993908862720000 cubed (136629939088627200003) is 2550572214012421144723475944575518698685595648000000000000
-
The
square root of 13662993908862720000 is 3696348726.6304731059 -
The
cube root of 13662993908862720000 is 2390646.1088699813
Scales and comparisons
How big is 13662993908862720000?- 13,662,993,908,862,720,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,662,993,908,862,720,000 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 13662993908862720000 cubic inches would be around 199220.5 feet tall.
Recreational maths with 13662993908862720000
- 13662993908862720000 backwards is 00002726880939926631
- The number of decimal digits it has is: 20
- The sum of 13662993908862720000's digits is 81
- More coming soon!
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The information we have on file for 13662993908862720000 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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