820468550133312000
820,468,550,133,312,000 is an even composite number composed of six prime numbers multiplied together.
820468550133312000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 820468550133312000:
29 × 3 × 53 × 41 × 1393 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 139 × 139 × 139 × 197 × 197)See below for interesting mathematical facts about the number 820468550133312000 from the Numbermatics database.
Names of 820468550133312000
- Cardinal: 820468550133312000 can be written as Eight hundred twenty quadrillion, four hundred sixty-eight trillion, five hundred fifty billion, one hundred thirty-three million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 8.20468550133312 × 1017
Factors of 820468550133312000
Divisors of 820468550133312000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 125 128 139 150 160 164 192 197 200 205 240 246 250 256 278 300 320 328 375 384 394 400 410 417 480 492 500 512 556 591 600 615 640 656 695 750 768 788 800 820 834 960 984 985 1000 1025 1112 1182 1200 1230 1280 1312 1390 1500 1536 1576 1600 1640 1668 1920 1968 1970 2000 2050 2085 2224 2364 2400 2460 2560 2624 2780 2955 3000 3075 3152 3200 3280 3336 3475 3840 3936 3940 4000 4100 4170 4448 4728 4800 4920 4925 5125 5248 5560 5699 5910 6000 6150 6304 6400 6560 6672 6950 7680 7872 7880 8000 8077 8200 8340 8896 9456 9600 9840 9850 10250 10425 10496 11120 11398 11820 12000 12300 12608 12800 13120 13344 13900 14775 15375 15744 15760 16000 16154 16400 16680 17097 17375 17792 18912 19200 19321 19680 19700 20500 20850 20992 22240 22796 23640 24000 24231 24600 24625 25216 26240 26688 27383 27800 28495 29550 30750 31488 31520 32000 32308 32800 33360 34194 34750 35584 37824 38400 38642 38809 39360 39400 40385 41000 41700 44480 45592 47280 48000 48462 49200 49250 50432 52125 52480 53376 54766 55600 56990 57963 59100 61500 62976 63040 64000 64616 65600 66720 68388 69500 71168 73875 75648 77284 77618 78720 78800 80770 82000 82149 83400 85485 88960 91184 94560 96000 96605 96924 98400 98500 100864 104250 104960 106752 109532 111200 113980 115926 116427 118200 121155 123000 126080 129232 131200 133440 136776 136915 139000 142475 147750 151296 154568 155236 157440 157600 161540 164000 164298 166800 170970 177920 182368 189120 192000 193210 193848 194045 196800 197000 201925 208500 213504 219064 222400 227960 231852 232854 236400 242310 246000 252160 258464 262400 266880 273552 273830 278000 284950 289815 295500 302592 309136 310472 314880 315200 323080 328000 328596 333600 341940 355840 364736 378240 386420 387696 388090 393600 394000 403850 410745 417000 427425 438128 444800 455920 463704 465708 472800 483025 484620 492000 504320 516928 524800 533760 547104 547660 556000 569900 579630 582135 591000 605775 618272 620944 630400 646160 656000 657192 667200 683880 684575 712375 729472 756480 772840 775392 776180 787200 788000 792161 807700 821490 834000 854850 876256 889600 911840 927408 931416 945600 966050 969240 970225 984000 1009625 1033856 1067520 1094208 1095320 1112000 1122703 1139800 1159260 1164270 1182000 1211550 1236544 1241888 1260800 1292320 1312000 1314384 1334400 1367760 1369150 1424750 1449075 1458944 1512960 1545680 1550784 1552360 1574400 1576000 1584322 1591169 1615400 1642980 1668000 1709700 1752512 1779200 1823680 1854816 1862832 1891200 1932100 1938480 1940450 1968000 2019250 2053725 2067712 2137125 2188416 2190640 2224000 2245406 2279600 2318520 2328540 2364000 2376483 2415125 2423100 2473088 2483776 2521600 2584640 2624000 2628768 2668800 2685619 2735520 2738300 2849500 2898150 2910675 2917888 3028875 3091360 3101568 3104720 3152000 3168644 3182338 3230800 3285960 3336000 3368109 3419400 3422875 3505024 3647360 3709632 3725664 3782400 3806237 3864200 3876960 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2084523755420 2114119276800 2116267772000 2123255913600 2169174466300 2249486067000 2305723218675 2399451804800 2459438099920 2496891472000 2501428506504 2539521326400 2603009359560 2605654694275 2642649096000 2654069892000 2711468082875 2776543316864 2831007884800 2879342165760 2951325719904 2996269766400 2999314756000 3074297624900 3126785633130 3174401658000 3253761699450 3335238008672 3386028435200 3470679146080 3523532128000 3538759856000 3599177707200 3689157149880 3745337208000 3842872031125 3935100959872 4063234122240 4164814975296 4169047510840 4228238553600 4232535544000 4246511827200 4273273698611 4338348932600 4498972134000 4611446437350 4798903609600 4918876199840 4993782944000 5002857013008 5079042652800 5206018719120 5211309388550 5285298192000 5308139784000 5422936165750 5553086633728 5758684331520 5902651439808 5992539532800 5998629512000 6148595249800 6253571266260 6348803316000 6507523398900 6670476017344 6772056870400 6941358292160 7047064256000 7077519712000 7198355414400 7378314299760 7490674416000 7685744062250 7816964082825 7870201919744 8134404248625 8329629950592 8338095021680 8465071088000 8493023654400 8546547397222 8676697865200 8997944268000 9222892874700 9597807219200 9837752399680 9987565888000 10005714026016 10158085305600 10412037438240 10422618777100 10570596384000 10616279568000 10845872331500 11106173267456 11528616093375 11805302879616 11997259024000 12297190499600 12507142532520 12697606632000 12819821095833 13015046797800 13028273471375 13340952034688 13882716584320 14155039424000 14396710828800 14756628599520 14981348832000 15371488124500 15633928165650 15740403839488 16268808497250 16659259901184 16676190043360 16930142176000 17093094794444 17353395730400 17995888536000 18445785749400 19675504799360 20011428052032 20316170611200 20824074876480 20845237554200 21141192768000 21232559136000 21366368493055 21691744663000 23057232186750 23610605759232 23994518048000 24594380999200 25014285065040 25395213264000 25639642191666 26030093595600 26056546942750 26681904069376 27765433168640 28793421657600 29513257199040 29962697664000 30742976249000 31267856331300 32537616994500 33318519802368 33352380086720 33860284352000 34186189588888 34706791460800 35991777072000 36891571498800 39084820414125 39351009598720 40022856104064 41648149752960 41690475108400 42465118272000 42732736986110 43383489326000 46114464373500 47221211518464 47989036096000 49188761998400 50028570130080 50790426528000 51279284383332 52060187191200 52113093885500 53363808138752 55530866337280 59026514398080 61485952498000 62535712662600 64099105479165 65075233989000 66704760173440 68372379177776 69413582921600 71983554144000 73783142997600 78169640828250 78702019197440 80045712208128 83296299505920 83380950216800 85465473972220 86766978652000 92228928747000 98377523996800 100057140260160 101580853056000 102558568766664 104120374382400 104226187771000 106831842465275 118053028796160 122971904996000 125071425325200 128198210958330 130150467978000 133409520346880 136744758355552 138827165843200 143967108288000 147566285995200 156339281656500 160091424416256 166592599011840 166761900433600 170930947944440 173533957304000 184457857494000 196755047993600 200114280520320 205117137533328 208240748764800 208452375542000 213663684930550 236106057592320 245943809992000 250142850650400 256396421916660 260300935956000 266819040693760 273489516711104 277654331686400 295132571990400 312678563313000 320495527395825 333523800867200 341861895888880 347067914608000 368915714988000 393510095987200 400228561040640 410234275066656 416481497529600 416904751084000 427327369861100 491887619984000 500285701300800 512792843833320 520601871912000 534159212326375 546979033422208 590265143980800 625357126626000 640991054791650 667047601734400 683723791777760 694135829216000 737831429976000 800457122081280 820468550133312 832962995059200 833809502168000 854654739722200 983775239968000 1000571402601600 1025585687666640 1041203743824000 1068318424652750 1093958066844416 1180530287961600 1250714253252000 1281982109583300 1334095203468800 1367447583555520 1388271658432000 1475662859952000 1602477636979125 1640937100266624 1667619004336000 1709309479444400 1967550479936000 2001142805203200 2051171375333280 2082407487648000 2136636849305500 2187916133688832 2501428506504000 2563964219166600 2734895167111040 2951325719904000 3204955273958250 3281874200533248 3335238008672000 3418618958888800 4002285610406400 4102342750666560 4164814975296000 4273273698611000 5002857013008000 5127928438333200 5469790334222080 5902651439808000 6409910547916500 6563748401066496 6670476017344000 6837237917777600 8204685501333120 8546547397222000 10005714026016000 10255856876666400 10939580668444160 12819821095833000 13674475835555200 16409371002666240 17093094794444000 20011428052032000 20511713753332800 25639642191666000 27348951671110400 32818742005332480 34186189588888000 41023427506665600 51279284383332000 54697903342220800 68372379177776000 82046855013331200 102558568766664000 136744758355552000 164093710026662400 205117137533328000 273489516711104000 410234275066656000 820468550133312000
- Sum of all divisors σ(n): 2828994984935159040
- Sum of proper divisors (its aliquot sum) s(n): 2008526434801847040
- 820468550133312000 is an abundant number, because the sum of its proper divisors (2008526434801847040) is greater than itself. Its abundance is 1188057884668535040
Bases of 820468550133312000
- Binary: 1011011000101110001111001100101000000001001101101010000000002
- Hexadecimal: 0xB62E3CCA0136A00
- Base-36: 68ENTSIN67EO
Squares and roots of 820468550133312000
- 820468550133312000 squared (8204685501333120002) is 673168641757859106692972089344000000
- 820468550133312000 cubed (8204685501333120003) is 552313699498281570342701818565995626374627328000000000
-
The
square root of 820468550133312000 is 905797190.3982215377 -
The
cube root of 820468550133312000 is 936168.4041070901
Scales and comparisons
How big is 820468550133312000?- 820,468,550,133,312,000 seconds is equal to 26,088,362,018 years, 19 weeks, 6 days, 2 hours, 40 minutes.
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To count from 1 to 820,468,550,133,312,000 would take you about seventy-eight billion, two hundred sixty-five million, eighty-six thousand and fifty-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 820468550133312000 cubic inches would be around 78014 feet tall.
Recreational maths with 820468550133312000
- 820468550133312000 backwards is 000213331055864028
- The number of decimal digits it has is: 18
- The sum of 820468550133312000's digits is 51
- More coming soon!
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The information we have on file for 820468550133312000 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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