20442813393600
20,442,813,393,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 20442813393600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
20442813393600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 20442813393600:
26 × 33 × 52 × 13 × 2812 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 281 × 281 × 461)See below for interesting mathematical facts about the number 20442813393600 from the Numbermatics database.
Names of 20442813393600
- Cardinal: 20442813393600 can be written as Twenty trillion, four hundred forty-two billion, eight hundred thirteen million, three hundred ninety-three thousand, six hundred.
Scientific notation
- Scientific notation: 2.04428133936 × 1013
Factors of 20442813393600
Divisors of 20442813393600
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 260 270 281 288 300 312 320 325 351 360 390 400 416 432 450 461 468 480 520 540 562 576 585 600 624 650 675 702 720 780 800 832 843 864 900 922 936 960 975 1040 1080 1124 1170 1200 1248 1300 1350 1383 1404 1405 1440 1560 1600 1686 1728 1755 1800 1844 1872 1950 2080 2160 2248 2305 2340 2400 2496 2529 2600 2700 2766 2808 2810 2880 2925 3120 3372 3510 3600 3653 3688 3744 3900 4149 4160 4215 4320 4496 4610 4680 4800 5058 5200 5400 5532 5616 5620 5850 5993 6240 6744 6915 7020 7025 7200 7306 7376 7488 7587 7800 8298 8430 8640 8775 8992 9220 9360 10116 10400 10800 10959 11064 11232 11240 11525 11700 11986 12447 12480 12645 13488 13830 14040 14050 14400 14612 14752 15174 15600 16596 16860 17550 17979 17984 18265 18440 18720 20232 20745 20800 21075 21600 21918 22128 22464 22480 23050 23400 23972 24894 25290 26976 27660 28080 28100 29224 29504 29965 30348 31200 32877 33192 33720 34575 35100 35958 36530 36880 37440 37935 40464 41490 42150 43200 43836 44256 44960 46100 46800 47944 49788 50580 53937 53952 54795 55320 56160 56200 58448 59930 60696 62235 62400 63225 65754 66384 67440 69150 70200 71916 73060 73760 75870 78961 80928 82980 84300 87672 88512 89895 89920 91325 92200 93600 95888 98631 99576 101160 103725 107874 109590 110640 112320 112400 116896 119860 121392 124470 126450 129541 131508 132768 134880 138300 140400 143832 146120 147520 149825 151740 157922 161811 161856 164385 165960 168600 175344 179790 182650 184400 187200 189675 191776 197262 199152 202320 207450 215748 219180 221280 224800 233792 236883 239720 242784 248940 252900 259082 263016 265536 269685 269760 273975 276600 280800 287664 292240 299650 303480 311175 315844 323622 328770 331920 337200 350688 359580 365300 368800 379350 383552 388623 394524 394805 398304 404640 414900 431496 438360 442560 449475 449600 473766 479440 485568 493155 497880 505800 518164 526032 539370 547950 553200 561600 575328 584480 599300 606960 622350 631688 647244 647705 657540 663840 674400 701376 710649 719160 730600 737600 758700 777246 789048 789610 796608 809055 809280 821925 829800 862992 876720 898950 947532 958880 986310 995760 1011600 1026493 1036328 1052064 1078740 1095900 1106400 1150656 1165869 1168960 1184415 1198600 1213920 1244700 1263376 1294488 1295410 1315080 1327680 1348425 1348800 1421298 1438320 1461200 1517400 1554492 1578096 1579220 1618110 1643850 1659600 1684033 1725984 1753440 1797900 1895064 1917760 1943115 1972620 1974025 1991520 2023200 2052986 2072656 2104128 2131947 2157480 2191800 2212800 2331738 2368830 2397200 2427840 2465775 2489400 2526752 2588976 2590820 2630160 2696850 2842596 2876640 2922400 3034800 3079479 3108984 3156192 3158440 3236220 3238525 3287700 3319200 3368066 3451968 3497607 3506880 3553245 3595800 3790128 3886230 3945240 3948050 3983040 4045275 4046400 4105972 4145312 4263894 4314960 4383600 4663476 4737660 4794400 4931550 4978800 5052099 5053504 5132465 5177952 5181640 5260320 5393700 5685192 5753280 5829345 5844800 5922075 6069600 6158958 6217968 6312384 6316880 6472440 6477050 6575400 6638400 6736132 6995214 7106490 7191600 7580256 7772460 7890480 7896100 8090550 8211944 8290624 8420165 8527788 8629920 8767200 9238437 9326952 9475320 9588800 9715575 9863100 9957600 10104198 10264930 10355904 10363280 10520640 10659735 10787400 11370384 11658690 11844150 12139200 12317916 12435936 12633760 12944880 12954100 13150800 13472264 13990428 14212980 14383200 15156297 15160512 15397395 15544920 15780960 15792200 16181100 16423888 16840330 17055576 17259840 17488035 17534400 17766225 18476874 18653904 18950640 19431150 19726200 19915200 20208396 20529860 20726560 21319470 21574800 22740768 23317380 23688300 24635832 24871872 25260495 25267520 25662325 25889760 25908200 26301600 26944528 27715311 27980856 28425960 28766400 29146725 30312594 30794790 31089840 31561920 31584400 32362200 32847776 33680660 34111152 34976070 35532450 36401021 36953748 37307808 37901280 38862300 39452400 40416792 41059720 41453120 42100825 42638940 43149600 45468891 45481536 46192185 46634760 47376600 49271664 50520990 51324650 51779520 51816400 52603200 53298675 53889056 55430622 55961712 56851920 58293450 60625188 61589580 62179680 63168800 64724400 65695552 67361320 68222304 69952140 71064900 72802042 73907496 74615616 75781485 75802560 76986975 77724600 78904800 80833584 82119440 84201650 85277880 86299200 87440175 90937782 92384370 93269520 94753200 98543328 101041980 102649300 103632800 106597350 107778112 109203063 110861244 111923424 113703840 116586900 121250376 123179160 124359360 126302475 126337600 129448800 134722640 136444608 138576555 139904280 142129800 145604084 147814992 151562970 153973950 155449200 157809600 161667168 164238880 168403300 170555760 174880350 181875564 182005105 184768740 186539040 189506400 197086656 202083960 205298600 207265600 213194700 218406126 221722488 223846848 227344455 227407680 230960925 233173800 242500752 246358320 252604950 258897600 269445280 277153110 279808560 284259600 291208168 295629984 303125940 307947900 310898400 323334336 327609189 328477760 336806600 341111520 349760700 363751128 364010210 369537480 373078080 378907425 379012800 404167920 410597200 426389400 436812252 443444976 454688910 461921850 466347600 473213273 485001504 492716640 505209900 538890560 546015315 554306220 559617120 568519200 582416336 591259968 606251880 615895800 621796800 655218378 673613200 682223040 692882775 699521400 727502256 728020420 739074960 757814850 808335840 821194400 852778800 873624504 886889952 909377820 910025525 923843700 932695200 946426546 970003008 982827567 985433280 1010419800 1092030630 1108612440 1119234240 1136722275 1137038400 1164832672 1212503760 1231791600 1310436756 1347226400 1385765550 1399042800 1419639819 1455004512 1456040840 1478149920 1515629700 1616671680 1638045945 1642388800 1705557600 1747249008 1773779904 1818755640 1820051050 1847687400 1865390400 1892853092 1965655134 2020839600 2184061260 2217224880 2273444550 2329665344 2366066365 2425007520 2463583200 2620873512 2694452800 2730076575 2771531100 2798085600 2839279638 2910009024 2912081680 2956299840 3031259400 3276091890 3411115200 3494498016 3637511280 3640102100 3695374800 3785706184 3931310268 4041679200 4258919457 4368122520 4434449760 4546889100 4732132730 4850015040 4914137835 4927166400 5241747024 5460153150 5543062200 5596171200 5678559276 5824163360 6062518800 6552183780 6988996032 7098199095 7275022560 7280204200 7390749600 7571412368 7862620536 8083358400 8190229725 8517838914 8736245040 8868899520 9093778200 9464265460 9828275670 10483494048 10920306300 11086124400 11357118552 11648326720 11830331825 12125037600 12776758371 13104367560 14196398190 14550045120 14560408400 14781499200 15142824736 15725241072 16380459450 17035677828 17472490080 18187556400 18928530920 19656551340 20966988096 21294597285 21840612600 22172248800 22714237104 23660663650 24250075200 24570689175 25553516742 26208735120 28392796380 29120816800 30285649472 31450482144 32760918900 34071355656 34944980160 35490995475 36375112800 37857061840 39313102680 42589194570 43681225200 44344497600 45428474208 47321327300 49141378350 51107033484 52417470240 56785592760 58241633600 62900964288 63883791855 65521837800 68142711312 70981990950 72750225600 75714123680 78626205360 85178389140 87362450400 90856948416 94642654600 98282756700 102214066968 104834940480 106472986425 113571185520 127767583710 131043675600 136285422624 141963981900 151428247360 157252410720 170356778280 174724900800 189285309200 196565513400 204428133936 212945972850 227142371040 255535167420 262087351200 272570845248 283927963800 314504821440 319418959275 340713556560 378570618400 393131026800 408856267872 425891945700 454284742080 511070334840 524174702400 567855927600 638837918550 681427113120 757141236800 786262053600 817712535744 851783891400 1022140669680 1135711855200 1277675837100 1362854226240 1572524107200 1703567782800 2044281339360 2271423710400 2555351674200 3407135565600 4088562678720 5110703348400 6814271131200 10221406696800 20442813393600
- Sum of all divisors σ(n): 80715385655520
- Sum of proper divisors (its aliquot sum) s(n): 60272572261920
- 20442813393600 is an abundant number, because the sum of its proper divisors (60272572261920) is greater than itself. Its abundance is 39829758868320
Bases of 20442813393600
- Binary: 1001010010111101101101010000101101010110000002
- Hexadecimal: 0x1297B6A16AC0
- Base-36: 78VAR9YO0
Squares and roots of 20442813393600
- 20442813393600 squared (204428133936002) is 417908619445551548520960000
- 20442813393600 cubed (204428133936003) is 8543227922902406602043501358329856000000
-
The
square root of 20442813393600 is 4521372.9544907043 -
The
cube root of 20442813393600 is 27343.0456863687
Scales and comparisons
How big is 20442813393600?- 20,442,813,393,600 seconds is equal to 650,018 years, 12 weeks, 12 hours.
-
To count from 1 to 20,442,813,393,600 would take you about one million, six hundred twenty-five thousand and forty-five 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 20442813393600 cubic inches would be around 2278.6 feet tall.
Recreational maths with 20442813393600
- 20442813393600 backwards is 00639331824402
- 20442813393600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20442813393600's digits is 45
- More coming soon!
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The information we have on file for 20442813393600 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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