90105423446128000

Names of 90105423446128000

• Cardinal: 90105423446128000 can be written as Ninety quadrillion, one hundred five trillion, four hundred twenty-three billion, four hundred forty-six million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 9.0105423446128 × 10¹⁶

Factors of 90105423446128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 52020

Divisors of 90105423446128000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 349 400 500 640 698 800 911 1000 1396 1600 1745 1822 2000 2792 3200 3490 3644 4000 4555 5584 6980 7288 8000 8725 9110 11168 13960 14576 16000 17450 18220 22336 22775 27920 29152 34900 36440 43625 44672 45550 50753 55840 58304 69800 72880 87250 91100 101506 111680 113875 116608 121801 139600 145760 174500 182200 203012 223360 227750 243602 253765 279200 291520 317939 349000 364400 406024 455500 487204 507530 558400 583040 609005 635878 698000 728800 812048 911000 974408 1015060 1116800 1218010 1268825 1271756 1396000 1457600 1589695 1624096 1822000 1948816 2030120 2436020 2537650 2543512 2792000 2915200 3045025 3179390 3248192 3644000 3897632 4060240 4872040 5075300 5087024 5584000 6090050 6344125 6358780 6496384 7288000 7795264 7948475 8120480 9744080 10150600 10174048 12180100 12688250 12717560 14576000 15225125 15590528 15896950 16240960 17712797 19488160 20301200 20348096 24360200 25376500 25435120 30450250 31793900 32481920 35425594 38976320 39742375 40602400 40696192 46235983 48720400 50753000 50870240 60900500 63587800 70851188 77952640 79484750 81204800 88563985 92471966 97440800 101506000 101740480 110960711 121801000 127175600 141702376 158969500 162409600 177127970 184943932 194881600 203012000 203480960 221921422 231179915 243602000 254351200 283404752 317939000 354255940 369887864 389763200 406024000 442819925 443842844 462359830 487204000 508702400 554803555 566809504 635878000 708511880 739775728 812048000 885639850 887685688 924719660 974408000 1017404800 1109607110 1133619008 1155899575 1271756000 1417023760 1479551456 1771279700 1775371376 1849439320 1948816000 2214099625 2219214220 2267238016 2311799150 2543512000 2774017775 2834047520 2959102912 3542559400 3550742752 3698878640 4428199250 4438428440 4623598300 5087024000 5548035550 5668095040 5779497875 5918205824 6181766153 7085118800 7101485504 7397757280 8856398500 8876856880 9247196600 11096071100 11336190080 11558995750 12363532306 13870088875 14170237600 14202971008 14795514560 16136358067 17712797000 17753713760 18494393200 22192142200 23117991500 24727064612 27740177750 28340475200 29591029120 30908830765 32272716134 35425594000 35507427520 36988786400 44384284400 46235983000 49454129224 55480355500 56680950400 61817661530 64545432268 70851188000 71014855040 73977572800 80681790335 88768568800 92471966000 98908258448 110960711000 123635323060 129090864536 141702376000 147955145600 154544153825 161363580670 177537137600 184943932000 197816516896 221921422000 247270646120 258181729072 283404752000 309088307650 322727161340 355074275200 369887864000 395633033792 403408951675 443842844000 494541292240 516363458144 618176615300 645454322680 739775728000 772720769125 791266067584 806817903350 887685688000 989082584480 1032726916288 1236353230600 1290908645360 1545441538250 1613635806700 1775371376000 1978165168960 2017044758375 2065453832576 2472706461200 2581817290720 3090883076500 3227271613400 3956330337920 4034089516750 4945412922400 5163634581440 5631588965383 6181766153000 6454543226800 8068179033500 9890825844800 10327269162880 11263177930766 12363532306000 12909086453600 16136358067000 19781651689600 22526355861532 24727064612000 25818172907200 28157944826915 32272716134000 45052711723064 49454129224000 51636345814400 56315889653830 64545432268000 90105423446128 98908258448000 112631779307660 129090864536000 140789724134575 180210846892256 225263558615320 258181729072000 281579448269150 360421693784512 450527117230640 563158896538300 703948620672875 720843387569024 901054234461280 1126317793076600 1407897241345750 1802108468922560 2252635586153200 2815794482691500 3604216937845120 4505271172306400 5631588965383000 9010542344612800 11263177930766000 18021084689225600 22526355861532000 45052711723064000 90105423446128000
• Sum of all divisors σ(n): 224919401485933440
• Sum of proper divisors (its aliquot sum) s(n): 134813978039805440
• 90105423446128000 is an abundant number, because the sum of its proper divisors (134813978039805440) is greater than itself. Its abundance is 44708554593677440

Bases of 90105423446128000

• Binary: 101000000000111100110011110111100110101111011010110000000₂
• Hexadecimal: 0x1401E67BCD7B580
• Base-36: ON7PG2YQEF4

Squares and roots of 90105423446128000

• 90105423446128000 squared (90105423446128000²) is 8118987334406033503318192384000000
• 90105423446128000 cubed (90105423446128000³) is 731564791720405684092552543124036963889152000000000
• The square root of 90105423446128000 is 300175654.3194800799
• The cube root of 90105423446128000 is 448315.3860565393

Scales and comparisons

• 90,105,423,446,128,000 seconds is equal to 2,865,073,751 years, 11 weeks, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 90,105,423,446,128,000 would take you about eight billion, five hundred ninety-five million, two hundred twenty-one thousand, two hundred fifty-three 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 90105423446128000 cubic inches would be around 37359.6 feet tall.

Recreational maths with 90105423446128000

• 90105423446128000 backwards is 00082164432450109
• The number of decimal digits it has is: 17
• The sum of 90105423446128000's digits is 49
• More coming soon!