420716972512828440342
420,716,972,512,828,440,342 is an even composite number composed of six prime numbers multiplied together.
What does the number 420716972512828440342 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 324 divisors.
420716972512828440342 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 420716972512828440342:
2 × 32 × 19 × 292 × 832 × 4607932
(2 × 3 × 3 × 19 × 29 × 29 × 83 × 83 × 460793 × 460793)See below for interesting mathematical facts about the number 420716972512828440342 from the Numbermatics database.
Names of 420716972512828440342
- Cardinal: 420716972512828440342 can be written as Four hundred twenty quintillion, seven hundred sixteen quadrillion, nine hundred seventy-two trillion, five hundred twelve billion, eight hundred twenty-eight million, four hundred forty thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 4.20716972512828440342 × 1020
Factors of 420716972512828440342
Divisors of 420716972512828440342
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 6 9 18 19 29 38 57 58 83 87 114 166 171 174 249 261 342 498 522 551 747 841 1102 1494 1577 1653 1682 2407 2523 3154 3306 4731 4814 4959 5046 6889 7221 7569 9462 9918 13778 14193 14442 15138 15979 20667 21663 28386 31958 41334 43326 45733 47937 62001 69803 91466 95874 124002 130891 137199 139606 143811 199781 209409 261782 274398 287622 392673 399562 411597 418818 460793 599343 628227 785346 823194 921586 1178019 1198686 1256454 1326257 1382379 1798029 2356038 2652514 2764758 3596058 3795839 3978771 4147137 5793649 7591678 7957542 8294274 8755067 11387517 11587298 11936313 13362997 17380947 17510134 22775034 23872626 26265201 26725994 34162551 34761894 38245819 40088991 52142841 52530402 68325102 76491638 78795603 80177982 104285682 110079331 114737457 120266973 157591206 220158662 229474914 240533946 253896943 330237993 344212371 387526913 507793886 660475986 688424742 726670561 761690829 775053826 990713979 1109128751 1162580739 1453341122 1523381658 1981427958 2180011683 2218257502 2285072487 2325161478 3174402977 3327386253 3487742217 4360023366 4570144974 6348805954 6540035049 6654772506 6975484434 7363011347 9523208931 9982158759 13080070098 14726022694 19046417862 19964317518 21073446269 22089034041 28569626793 32164733779 42146892538 44178068082 57139253586 60313656563 63220338807 64329467558 66267102123 92057686333 96494201337 120627313126 126440677614 132534204246 180940969689 184115372666 189661016421 192988402674 212330188849 276173058999 289482604011 361881939378 379322032842 424660377698 542822909067 552346117998 578965208022 611129941801 636990566547 828519176997 1085645818134 1222259883602 1273981133094 1657038353994 1749096040327 1833389825403 1910971699641 2669672903657 3498192080654 3666779650806 3821943399282 4034273588131 5247288120981 5339345807314 5500169476209 6157575476621 8009018710971 8068547176262 10494576241962 11000338952418 12102820764393 12315150953242 15741864362943 16018037421942 17623405674467 18472726429863 24027056132913 24205641528786 31483728725886 35246811348934 36308462293179 36945452859726 48054112265826 50723785169483 52870217023401 55418179289589 72616924586358 101447570338966 105740434046802 110836358579178 116993934055799 152171355508449 158610651070203 178569688822009 233987868111598 304342711016898 317221302140406 334844707814873 350981802167397 357139377644018 456514066525347 511078764559543 535709066466027 669689415629746 701963604334794 913028133050694 1004534123444619 1022157529119086 1052945406502191 1071418132932054 1462742670980761 1533236293678629 1607127199398081 2009068246889238 2105890813004382 2925485341961522 3013602370333857 3066472587357258 3214254398796162 3392824087618171 4388228012942283 4599708881035887 6027204740667714 6785648175236342 8776456025884566 9199417762071774 9710496526631317 10178472262854513 13164684038826849 14821284172226747 19420993053262634 20356944525709026 26329368077653698 27792110748634459 29131489579893951 29642568344453494 30535416788563539 42419537458442069 44463852516680241 55584221497268918 58262979159787902 61070833577127078 83376332245903377 84839074916884138 87394468739681853 88927705033360482 127258612375326207 133391557550040723 166752664491806754 174788937479363706 250128996737710131 254517224750652414 266783115100081446 281604399272308193 381775837125978621 500257993475420262 563208798544616386 763551674251957242 805971211710399311 844813197816924579 1230166586294820001 1611942423420798622 1689626395633849158 2417913635131197933 2460333172589640002 2534439593450773737 3690499758884460003 4835827270262395866 5068879186901547474 7253740905393593799 7380999517768920006 11071499276653380009 14507481810787187598 22142998553306760018 23373165139601580019 46746330279203160038 70119495418804740057 140238990837609480114 210358486256414220171 420716972512828440342
- Sum of all divisors σ(n): 1005877540968858923820
- Sum of proper divisors (its aliquot sum) s(n): 585160568456030483478
- 420716972512828440342 is an abundant number, because the sum of its proper divisors (585160568456030483478) is greater than itself. Its abundance is 164443595943202043136
Bases of 420716972512828440342
- Binary: 1011011001110100111101111000101110010010001001110101110111111000101102
- Hexadecimal: 0x16CE9EF17244EBBF16
- Base-36: 2GSERRW8F5SS9I
Squares and roots of 420716972512828440342
- 420716972512828440342 squared (4207169725128284403422) is 177002770960360041415330778071608253076964
- 420716972512828440342 cubed (4207169725128284403423) is 74468069924824263621866248874493632571242171850082670608481688
-
The
square root of 420716972512828440342 is 20511386411.2796734261 -
The
cube root of 420716972512828440342 is 7493131.3263207459
Scales and comparisons
How big is 420716972512828440342?- 420,716,972,512,828,440,342 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 420,716,972,512,828,440,342 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 420716972512828440342 cubic inches would be around 624427.6 feet tall.
Recreational maths with 420716972512828440342
- 420716972512828440342 backwards is 243044828215279617024
- The number of decimal digits it has is: 21
- The sum of 420716972512828440342's digits is 81
- More coming soon!
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The information we have on file for 420716972512828440342 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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