213496105668144000

Names of 213496105668144000

• Cardinal: 213496105668144000 can be written as Two hundred thirteen quadrillion, four hundred ninety-six trillion, one hundred five billion, six hundred sixty-eight million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 2.13496105668144 × 10¹⁷

Factors of 213496105668144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 342141195004

Divisors of 213496105668144000

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 260 300 312 320 325 375 384 390 400 416 480 500 520 600 624 640 650 750 780 800 832 960 975 1000 1040 1200 1248 1300 1500 1560 1600 1625 1664 1920 1950 2000 2080 2400 2496 2600 3000 3120 3200 3250 3900 4000 4160 4800 4875 4992 5200 6000 6240 6500 7800 8000 8320 9600 9750 10400 12000 12480 13000 15600 16000 19500 20800 24000 24960 26000 31200 39000 41600 48000 52000 62400 78000 104000 124800 156000 208000 312000 624000 342141194981 684282389962 1026423584943 1368564779924 1710705974905 2052847169886 2737129559848 3421411949810 4105694339772 4447835534753 5132117924715 5474259119696 6842823899620 8211388679544 8553529874525 8895671069506 10264235849430 10948518239392 13343506604259 13685647799240 16422777359088 17107059749050 17791342139012 20528471698860 21897036478784 22239177673765 25660589623575 26687013208518 27371295598480 32845554718176 34214119498100 35582684278024 41056943397720 42767649372625 43794072957568 44478355347530 51321179247150 53374026417036 54742591196960 65691109436352 66717533021295 68428238996200 71165368556048 82113886795440 85535298745250 88956710695060 102642358494300 106748052834072 109485182393920 111195888368825 128302948117875 131382218872704 133435066042590 136856477992400 142330737112096 164227773590880 171070597490500 177913421390120 205284716988600 213496105668144 218970364787840 222391776737650 256605896235750 266870132085180 273712955984800 284661474224192 328455547181760 333587665106475 342141194981000 355826842780240 410569433977200 426992211336288 444783553475300 513211792471500 533740264170360 547425911969600 555979441844125 569322948448384 656911094363520 667175330212950 684282389962000 711653685560480 821138867954400 853984422672576 889567106950600 1026423584943000 1067480528340720 1094851823939200 1111958883688250 1334350660425900 1368564779924000 1423307371120960 1642277735908800 1667938325532375 1707968845345152 1779134213901200 2052847169886000 2134961056681440 2223917767376500 2668701320851800 2737129559848000 2846614742241920 3284555471817600 3335876651064750 3558268427802400 4105694339772000 4269922113362880 4447835534753000 5337402641703600 5474259119696000 6671753302129500 7116536855604800 8211388679544000 8539844226725760 8895671069506000 10674805283407200 13343506604259000 14233073711209600 16422777359088000 17791342139012000 21349610566814400 26687013208518000 35582684278024000 42699221133628800 53374026417036000 71165368556048000 106748052834072000 213496105668144000
• Sum of all divisors σ(n): 762181097237501760
• Sum of proper divisors (its aliquot sum) s(n): 548684991569357760
• 213496105668144000 is an abundant number, because the sum of its proper divisors (548684991569357760) is greater than itself. Its abundance is 335188885901213760

Bases of 213496105668144000

• Binary: 1011110110011111011001001110110011010001110110101110000000₂
• Hexadecimal: 0x2F67D93B3476B80
• Base-36: 1ME61WY8PSAO

Squares and roots of 213496105668144000

• 213496105668144000 squared (213496105668144000²) is 45580587135463308604656404736000000
• 213496105668144000 cubed (213496105668144000³) is 9731277847488919568544124138789102165929984000000000
• The square root of 213496105668144000 is 462056387.9746107351
• The cube root of 213496105668144000 is 597672.5627222979

Scales and comparisons

• 213,496,105,668,144,000 seconds is equal to 6,788,515,773 years, 22 weeks, 3 days, 10 hours, 40 minutes.
• To count from 1 to 213,496,105,668,144,000 would take you about twenty billion, three hundred sixty-five million, five hundred forty-seven thousand, three hundred twenty 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 213496105668144000 cubic inches would be around 49806 feet tall.

Recreational maths with 213496105668144000

• 213496105668144000 backwards is 000441866501694312
• 213496105668144000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 213496105668144000's digits is 60
• More coming soon!