42205345975180800

Names of 42205345975180800

• Cardinal: 42205345975180800 can be written as Forty-two quadrillion, two hundred five trillion, three hundred forty-five billion, nine hundred seventy-five million, one hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.22053459751808 × 10¹⁶

Factors of 42205345975180800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 16150114

Divisors of 42205345975180800

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1152 1200 1280 1440 1536 1600 1800 1920 2304 2400 2560 2880 3200 3600 3840 4608 4800 5760 6400 7200 7680 9600 11520 12800 14400 19200 22717 23040 28800 38400 45434 57600 68151 90868 113585 115200 136302 181736 204453 227170 272604 340755 363472 408906 454340 545208 567925 681510 726944 817812 908680 1022265 1090416 1135850 1363020 1453888 1635624 1703775 1817360 2044530 2180832 2271700 2726040 2907776 3271248 3407550 3634720 4089060 4361664 4543400 5111325 5452080 5815552 6542496 6815100 7269440 8178120 8723328 9086800 10222650 10904160 11631104 13084992 13630200 14538880 16127387 16356240 17446656 18173600 20445300 21808320 26169984 27260400 29077760 32254774 32712480 34893312 36347200 40890600 43616640 48382161 52339968 54520800 58155520 64509548 65424960 72694400 80636935 81781200 87233280 96764322 104679936 109041600 129019096 130849920 145146483 145388800 161273870 163562400 174466560 193528644 218083200 241910805 258038192 261699840 290292966 290777600 322547740 327124800 387057288 403184675 436166400 483821610 516076384 523399680 580585932 645095480 654249600 725732415 774114576 806369350 872332800 967643220 1032152768 1161171864 1209554025 1290190960 1308499200 1451464830 1548229152 1612738700 1935286440 2064305536 2322343728 2419108050 2580381920 2616998400 2902929660 3096458304 3225477400 3628662075 3870572880 4128611072 4644687456 4838216100 5160763840 5805859320 6192916608 6450954800 7257324150 7741145760 8257222144 9289374912 9676432200 10321527680 11611718640 12385833216 12901909600 14514648300 15482291520 18578749824 19352864400 20643055360 23223437280 24771666432 25803819200 29029296600 30964583040 37157499648 38705728800 41286110720 46446874560 51607638400 58058593200 61929166080 74314999296 77411457600 92893749120 103215276800 116117186400 123858332160 154822915200 185787498240 206430553600 232234372800 309645830400 366365850479 371574996480 464468745600 619291660800 732731700958 928937491200 1099097551437 1465463401916 1831829252395 1857874982400 2198195102874 2930926803832 3297292654311 3663658504790 4396390205748 5495487757185 5861853607664 6594585308622 7327317009580 8792780411496 9159146261975 10990975514370 11723707215328 13189170617244 14654634019160 16486463271555 17585560822992 18318292523950 21981951028740 23447414430656 26378341234488 27477438785925 29309268038320 32972926543110 35171121645984 36636585047900 43963902057480 46894828861312 52756682468976 54954877571850 58618536076640 65945853086220 70342243291968 73273170095800 82432316357775 87927804114960 93789657722624 105513364937952 109909755143700 117237072153280 131891706172440 140684486583936 146546340191600 164864632715550 175855608229920 187579315445248 211026729875904 219819510287400 234474144306560 263783412344880 281368973167872 293092680383200 329729265431100 351711216459840 422053459751808 439639020574800 468948288613120 527566824689760 562737946335744 586185360766400 659458530862200 703422432919680 844106919503616 879278041149600 937896577226240 1055133649379520 1172370721532800 1318917061724400 1406844865839360 1688213839007232 1758556082299200 2110267298759040 2344741443065600 2637834123448800 2813689731678720 3517112164598400 4220534597518080 4689482886131200 5275668246897600 7034224329196800 8441069195036160 10551336493795200 14068448658393600 21102672987590400 42205345975180800
• Sum of all divisors σ(n): 151047940998765096
• Sum of proper divisors (its aliquot sum) s(n): 108842595023584296
• 42205345975180800 is an abundant number, because the sum of its proper divisors (108842595023584296) is greater than itself. Its abundance is 66637249048403496

Bases of 42205345975180800

• Binary: 10010101111100011000100111011110011110010001111000000000₂
• Hexadecimal: 0x95F189DE791E00
• Base-36: BJKJO9VVR40

Squares and roots of 42205345975180800

• 42205345975180800 squared (42205345975180800²) is 1781291228884710153729592688640000
• 42205345975180800 cubed (42205345975180800³) is 75180012597634162879935251615675962582106112000000
• The square root of 42205345975180800 is 205439397.3296767633
• The cube root of 42205345975180800 is 348168.2422257797

Scales and comparisons

• 42,205,345,975,180,800 seconds is equal to 1,341,999,452 years, 15 weeks, 5 days, 16 hours.
• To count from 1 to 42,205,345,975,180,800 would take you about four billion, twenty-five million, nine hundred ninety-eight thousand, three hundred fifty-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 42205345975180800 cubic inches would be around 29014 feet tall.

Recreational maths with 42205345975180800

• 42205345975180800 backwards is 00808157954350224
• The number of decimal digits it has is: 17
• The sum of 42205345975180800's digits is 63
• More coming soon!