420404373006648320

Names of 420404373006648320

• Cardinal: 420404373006648320 can be written as Four hundred twenty quadrillion, four hundred four trillion, three hundred seventy-three billion, six million, six hundred forty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.2040437300664832 × 10¹⁷

Factors of 420404373006648320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1477

Divisors of 420404373006648320

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 421 512 640 842 1024 1049 1280 1684 2098 2105 2560 3368 4196 4210 5120 5245 6736 8392 8420 10490 13472 16784 16840 20980 26944 33568 33680 41960 53888 67136 67360 83920 107776 134272 134720 167840 177241 215552 268544 269440 335680 354482 431104 441629 537088 538880 671360 708964 883258 886205 1074176 1077760 1100401 1342720 1417928 1766516 1772410 2155520 2200802 2208145 2685440 2835856 3533032 3544820 4401604 4416290 5370880 5502005 5671712 7066064 7089640 8803208 8832580 11004010 11343424 14132128 14179280 17606416 17665160 22008020 22686848 28264256 28358560 35212832 35330320 44016040 45373696 56528512 56717120 70425664 70660640 74618461 88032080 90747392 113057024 113434240 140851328 141321280 149236922 176064160 181494784 185925809 226114048 226868480 281702656 282642560 298473844 352128320 371851618 373092305 452228096 453736960 463268821 563405312 565285120 596947688 704256640 743703236 746184610 907473920 926537642 929629045 1126810624 1130570240 1193895376 1408513280 1487406472 1492369220 1853075284 1859258090 2261140480 2316344105 2387790752 2817026560 2974812944 2984738440 3706150568 3718516180 4632688210 4775581504 5634053120 5949625888 5969476880 7412301136 7437032360 9265376420 9551163008 11899251776 11938953760 14824602272 14874064720 18530752840 19102326016 23798503552 23877907520 29649204544 29748129440 37061505680 38204652032 47597007104 47755815040 59298409088 59496258880 74123011360 76409304064 78274765589 95194014208 95511630080 118596818176 118992517760 148246022720 156549531178 190388028416 191023260160 195036173641 237193636352 237985035520 296492045440 313099062356 382046520320 390072347282 391373827945 474387272704 475970071040 592984090880 626198124712 780144694564 782747655890 951940142080 975180868205 1185968181760 1252396249424 1560289389128 1565495311780 1950361736410 2371936363520 2504792498848 3120578778256 3130990623560 3900723472820 5009584997696 6241157556512 6261981247120 7801446945640 10019169995392 12482315113024 12523962494240 15602893891280 20038339990784 24964630226048 25047924988480 31205787782560 40076679981568 49929260452096 50095849976960 62411575565120 80153359963136 82110229102861 99858520904192 100191699953920 124823151130240 164220458205722 199717041808384 200383399907840 249646302260480 328440916411444 400766799815680 410551145514305 499292604520960 656881832822888 821102291028610 998585209041920 1313763665645776 1642204582057220 2627527331291552 3284409164114440 5255054662583104 6568818328228880 10510109325166208 13137636656457760 21020218650332416 26275273312915520 42040437300664832 52550546625831040 84080874601329664 105101093251662080 210202186503324160 420404373006648320
• Sum of all divisors σ(n): 1011843549803498568
• Sum of proper divisors (its aliquot sum) s(n): 591439176796850248
• 420404373006648320 is an abundant number, because the sum of its proper divisors (591439176796850248) is greater than itself. Its abundance is 171034803790201928

Bases of 420404373006648320

• Binary: 10111010101100100111000110011000011000101010000010000000000₂
• Hexadecimal: 0x5D5938CC3150400
• Base-36: 36ZGWUR4WRNK

Squares and roots of 420404373006648320

• 420404373006648320 squared (420404373006648320²) is 176739836843113094602250920158822400
• 420404373006648320 cubed (420404373006648320³) is 74302200293326282896429788127148828327865502138368000
• The square root of 420404373006648320 is 648385975.3315522787
• The cube root of 420404373006648320 is 749127.5027288829

Scales and comparisons

• 420,404,373,006,648,320 seconds is equal to 13,367,558,665 years, 26 weeks, 1 day, 14 hours, 45 minutes, 20 seconds.
• To count from 1 to 420,404,373,006,648,320 would take you about forty billion, one hundred two million, six hundred seventy-five thousand, nine hundred ninety-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 420404373006648320 cubic inches would be around 62427.3 feet tall.

Recreational maths with 420404373006648320

• 420404373006648320 backwards is 023846600373404024
• The number of decimal digits it has is: 18
• The sum of 420404373006648320's digits is 56
• More coming soon!