420668978202187998

Names of 420668978202187998

• Cardinal: 420668978202187998 can be written as Four hundred twenty quadrillion, six hundred sixty-eight trillion, nine hundred seventy-eight billion, two hundred two million, one hundred eighty-seven thousand, nine hundred ninety-eight.

Scientific notation

• Scientific notation: 4.20668978202187998 × 10¹⁷

Factors of 420668978202187998

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 4299

Divisors of 420668978202187998

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 6 31 61 62 73 93 122 146 183 186 219 366 438 961 1891 1922 2263 2883 3782 4129 4453 4526 5673 5766 6789 8258 8906 11346 12387 13359 13578 24774 26718 29791 58621 59582 70153 89373 117242 127999 138043 140306 175863 178746 210459 251869 255998 276086 301417 351726 383997 414129 420918 503738 602834 755607 767994 828258 904251 923521 1511214 1808502 1817251 1847042 2174743 2770563 3634502 3967969 4279333 4349486 5451753 5541126 6524229 7807939 7935938 8558666 9343927 10903506 11903907 12837999 13048458 15615878 17048641 18386437 18687854 23423817 23807814 25675998 28031781 34097282 36772874 46847634 51145923 55159311 56063562 56334781 67417033 102291846 110318622 112669562 123007039 132659323 134834066 169004343 202251099 242046109 246014078 265318646 289661737 338008686 369021117 397977969 404502198 484092218 528507871 569979547 579323474 726138327 738042234 795955938 868985211 1039967101 1057015742 1139959094 1244550793 1452276654 1585523613 1709938641 1737970422 2079934202 2489101586 3119901303 3171047226 3419877282 3733652379 3813218209 4112439013 6239802606 7467304758 7503429379 7626436418 8224878026 8979513847 11439654627 12337317039 15006858758 16383744001 17669365957 17959027694 22510288137 22879309254 24674634078 26938541541 32238980131 32767488002 35338731914 38581074583 45020576274 49151232003 53008097871 53877083082 64477960262 75917598373 77162149166 96716940393 98302464006 106016195742 115743223749 151835196746 193433880786 227752795119 231486447498 232606310749 278364929257 455505590238 465212621498 507896064031 547750344667 556729858514 697818932247 835094787771 999408384061 1015792128062 1095500689334 1196013312073 1395637864494 1523688192093 1643251034001 1670189575542 1998816768122 2353445549563 2392026624146 2998225152183 3047376384186 3286502068002 3588039936219 4706891099126 5996450304366 7060336648689 7176079872438 14120673297378 15744777984961 16980260684677 30981659905891 31489555969922 33960521369354 37076412674263 47234333954883 50940782054031 61963319811782 72956812036453 74152825348526 92944979717673 94468667909766 101881564108062 111229238022789 145913624072906 185889959435346 218870436109359 222458476045578 437740872218718 960431457082621 1149368792902153 1920862914165242 2261661173130043 2298737585804306 2881294371247863 3448106378706459 4523322346260086 5762588742495726 6784983519390129 6896212757412918 13569967038780258 70111496367031333 140222992734062666 210334489101093999 420668978202187998
• Sum of all divisors σ(n): 895956273102757680
• Sum of proper divisors (its aliquot sum) s(n): 475287294900569682
• 420668978202187998 is an abundant number, because the sum of its proper divisors (475287294900569682) is greater than itself. Its abundance is 54618316698381684

Bases of 420668978202187998

• Binary: 10111010110100001000011010011110101110001001001100011011110₂
• Hexadecimal: 0x5D68434F5C498DE
• Base-36: 3722PGPAFIE6

Squares and roots of 420668978202187998

• 420668978202187998 squared (420668978202187998²) is 176962389221672921005932074535248004
• 420668978202187998 cubed (420668978202187998³) is 74442587454099034327867003841164155093488486362255992
• The square root of 420668978202187998 is 648589992.3697466349
• The cube root of 420668978202187998 is 749284.6383099181

Scales and comparisons

• 420,668,978,202,187,998 seconds is equal to 13,375,972,292 years, 12 weeks, 5 days, 4 hours, 13 minutes, 18 seconds.
• To count from 1 to 420,668,978,202,187,998 would take you about forty billion, one hundred twenty-seven million, nine hundred sixteen thousand, eight hundred seventy-six 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 420668978202187998 cubic inches would be around 62440.4 feet tall.

Recreational maths with 420668978202187998

• 420668978202187998 backwards is 899781202879866024
• The number of decimal digits it has is: 18
• The sum of 420668978202187998's digits is 96
• More coming soon!