21146351403340800
21,146,351,403,340,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 21146351403340800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 792 divisors.
21146351403340800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 21146351403340800:
210 × 32 × 52 × 7 × 13 × 1008582847
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 1008582847)See below for interesting mathematical facts about the number 21146351403340800 from the Numbermatics database.
Names of 21146351403340800
- Cardinal: 21146351403340800 can be written as Twenty-one quadrillion, one hundred forty-six trillion, three hundred fifty-one billion, four hundred three million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 2.11463514033408 × 1016
Factors of 21146351403340800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1008582877
Divisors of 21146351403340800
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 128 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 252 256 260 273 280 288 300 312 315 320 325 336 350 360 364 384 390 400 416 420 448 450 455 468 480 504 512 520 525 546 560 576 585 600 624 630 640 650 672 700 720 728 768 780 800 819 832 840 896 900 910 936 960 975 1008 1024 1040 1050 1092 1120 1152 1170 1200 1248 1260 1280 1300 1344 1365 1400 1440 1456 1536 1560 1575 1600 1638 1664 1680 1792 1800 1820 1872 1920 1950 2016 2080 2100 2184 2240 2275 2304 2340 2400 2496 2520 2560 2600 2688 2730 2800 2880 2912 2925 3072 3120 3150 3200 3276 3328 3360 3584 3600 3640 3744 3840 3900 4032 4095 4160 4200 4368 4480 4550 4608 4680 4800 4992 5040 5120 5200 5376 5460 5600 5760 5824 5850 6240 6300 6400 6552 6656 6720 6825 7168 7200 7280 7488 7680 7800 8064 8190 8320 8400 8736 8960 9100 9216 9360 9600 9984 10080 10400 10752 10920 11200 11520 11648 11700 12480 12600 12800 13104 13312 13440 13650 14400 14560 14976 15360 15600 16128 16380 16640 16800 17472 17920 18200 18720 19200 19968 20160 20475 20800 21504 21840 22400 23040 23296 23400 24960 25200 25600 26208 26880 27300 28800 29120 29952 31200 32256 32760 33280 33600 34944 35840 36400 37440 38400 39936 40320 40950 41600 43680 44800 46080 46592 46800 49920 50400 52416 53760 54600 57600 58240 59904 62400 64512 65520 66560 67200 69888 72800 74880 76800 80640 81900 83200 87360 89600 93184 93600 99840 100800 104832 107520 109200 115200 116480 119808 124800 131040 134400 139776 145600 149760 161280 163800 166400 174720 179200 187200 199680 201600 209664 218400 230400 232960 249600 262080 268800 279552 291200 299520 322560 327600 332800 349440 374400 403200 419328 436800 465920 499200 524160 537600 582400 599040 655200 698880 748800 806400 838656 873600 998400 1048320 1164800 1310400 1397760 1497600 1612800 1747200 2096640 2329600 2620800 2995200 3494400 4193280 5241600 6988800 10483200 20966400 1008582847 2017165694 3025748541 4034331388 5042914235 6051497082 7060079929 8068662776 9077245623 10085828470 12102994164 13111577011 14120159858 15128742705 16137325552 18154491246 20171656940 21180239787 24205988328 25214571175 26223154022 28240319716 30257485410 32274651104 35300399645 36308982492 39334731033 40343313880 42360479574 45386228115 48411976656 50429142350 52446308044 56480639432 60514970820 63540719361 64549302208 65557885055 70600799290 72617964984 75643713525 78669462066 80686627760 84720959148 90772456230 91781039077 96823953312 100858284700 104892616088 105901198935 112961278864 118004193099 121029941640 127081438722 129098604416 131115770110 141201598580 145235929968 151287427050 157338924132 161373255520 169441918296 176501998225 181544912460 183562078154 193647906624 196673655165 201716569400 209785232176 211802397870 225922557728 226931140575 236008386198 242059883280 254162877444 258197208832 262231540220 275343117231 282403197160 290471859936 302574854100 314677848264 317703596805 322746511040 327789425275 338883836592 353003996450 363089824920 367124156308 387295813248 393347310330 403433138800 419570464352 423604795740 451845115456 453862281150 458905195385 472016772396 484119766560 508325754888 516394417664 524463080440 529505994675 550686234462 564806394320 580943719872 590020965495 605149708200 629355696528 635407193610 645493022080 655578850550 677767673184 706007992900 726179649840 734248312616 774591626496 786694620660 806866277600 826029351693 839140928704 847209591480 903690230912 907724562300 917810390770 944033544792 968239533120 983368275825 1016651509776 1032788835328 1048926160880 1059011989350 1101372468924 1129612788640 1161887439744 1180041930990 1210299416400 1258711393056 1270814387220 1290986044160 1311157701100 1355535346368 1376715586155 1412015985800 1452359299680 1468496625232 1549183252992 1573389241320 1588517984025 1613732555200 1652058703386 1678281857408 1694419182960 1807380461824 1815449124600 1835620781540 1888067089584 1936479066240 1966736551650 2033303019552 2097852321760 2118023978700 2202744937848 2259225577280 2294525976925 2323774879488 2360083861980 2420598832800 2517422786112 2541628774440 2581972088320 2622315402200 2711070692736 2753431172310 2824031971600 2904718599360 2936993250464 2950104827475 3098366505984 3146778482640 3177035968050 3227465110400 3304117406772 3356563714816 3388838365920 3614760923648 3630898249200 3671241563080 3776134179168 3872958132480 3933473103300 4066606039104 4130146758465 4195704643520 4236047957400 4405489875696 4518451154560 4589051953850 4647549758976 4720167723960 4841197665600 5034845572224 5083257548880 5163944176640 5244630804400 5422141385472 5506862344620 5648063943200 5809437198720 5873986500928 5900209654950 6293556965280 6354071936100 6454930220800 6608234813544 6713127429632 6777676731840 6883577930775 7229521847296 7261796498400 7342483126160 7552268358336 7745916264960 7866946206600 8133212078208 8260293516930 8391409287040 8472095914800 8810979751392 9036902309120 9178103907700 9295099517952 9440335447920 9682395331200 10069691144448 10166515097760 10489261608800 10844282770944 11013724689240 11296127886400 11618874397440 11747973001856 11800419309900 12587113930560 12708143872200 12909860441600 13216469627088 13426254859264 13555353463680 13767155861550 14523592996800 14684966252320 15104536716672 15491832529920 15733892413200 16266424156416 16520587033860 16782818574080 16944191829600 17621959502784 18073804618240 18356207815400 18880670895840 19364790662400 20139382288896 20333030195520 20650733792325 20978523217600 21688565541888 22027449378480 22592255772800 23237748794880 23495946003712 23600838619800 25174227861120 25416287744400 25819720883200 26432939254176 27110706927360 27534311723100 29047185993600 29369932504640 30209073433344 31467784826400 32532848312832 33041174067720 33565637148160 33888383659200 35243919005568 36147609236480 36712415630800 37761341791680 38729581324800 40278764577792 40666060391040 41301467584650 41957046435200 44054898756960 45184511545600 46475497589760 46991892007424 47201677239600 50348455722240 50832575488800 52865878508352 54221413854720 55068623446200 58094371987200 58739865009280 60418146866688 62935569652800 65065696625664 66082348135440 67131274296320 67776767318400 70487838011136 73424831261600 75522683583360 77459162649600 81332120782080 82602935169300 83914092870400 88109797513920 90369023091200 93983784014848 94403354479200 100696911444480 101665150977600 105731757016704 108442827709440 110137246892400 116188743974400 117479730018560 120836293733376 125871139305600 132164696270880 135553534636800 140975676022272 146849662523200 151045367166720 162664241564160 165205870338600 167828185740800 176219595027840 180738046182400 188806708958400 201393822888960 203330301955200 211463514033408 220274493784800 232377487948800 234959460037120 251742278611200 264329392541760 271107069273600 281951352044544 293699325046400 302090734333440 325328483128320 330411740677200 335656371481600 352439190055680 377613417916800 406660603910400 422927028066816 440548987569600 469918920074240 503484557222400 528658785083520 542214138547200 587398650092800 604181468666880 660823481354400 704878380111360 755226835833600 813321207820800 845854056133632 881097975139200 1006969114444800 1057317570167040 1174797300185600 1321646962708800 1409756760222720 1510453671667200 1626642415641600 1762195950278400 2114635140334080 2349594600371200 2643293925417600 3020907343334400 3524391900556800 4229270280668160 5286587850835200 7048783801113600 10573175701670400 21146351403340800
- Sum of all divisors σ(n): 93186390439740416
- Sum of proper divisors (its aliquot sum) s(n): 72040039036399616
- 21146351403340800 is an abundant number, because the sum of its proper divisors (72040039036399616) is greater than itself. Its abundance is 50893687633058816
Bases of 21146351403340800
- Binary: 10010110010000001111110100110111011000100010100000000002
- Hexadecimal: 0x4B207E9BB11400
- Base-36: 5S7R7Q2XOG0
Squares and roots of 21146351403340800
- 21146351403340800 squared (211463514033408002) is 447168177673573421525400944640000
- 21146351403340800 cubed (211463514033408003) is 9455975421476917513248326487881445971853312000000
-
The
square root of 21146351403340800 is 145417851.0477334759 -
The
cube root of 21146351403340800 is 276531.8431317497
Scales and comparisons
How big is 21146351403340800?- 21,146,351,403,340,800 seconds is equal to 672,388,564 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 21,146,351,403,340,800 would take you about two billion, seventeen million, one hundred sixty-five thousand, six hundred ninety-four 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 21146351403340800 cubic inches would be around 23044.3 feet tall.
Recreational maths with 21146351403340800
- 21146351403340800 backwards is 00804330415364112
- 21146351403340800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21146351403340800's digits is 45
- More coming soon!
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The information we have on file for 21146351403340800 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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