9985245788968800

Names of 9985245788968800

• Cardinal: 9985245788968800 can be written as Nine quadrillion, nine hundred eighty-five trillion, two hundred forty-five billion, seven hundred eighty-eight million, nine hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 9.9852457889688 × 10¹⁵

Factors of 9985245788968800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 281289337

Divisors of 9985245788968800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2113 2400 2800 3360 4200 4226 5600 6339 8400 8452 10565 12678 14791 16800 16904 21130 25356 29582 31695 33808 42260 44373 50712 52825 59164 63390 67616 73955 84520 88746 101424 105650 118328 126780 147910 158475 169040 177492 202848 211300 221865 236656 253560 295820 316950 338080 354984 369775 422600 443730 473312 507120 591640 633900 709968 739550 845200 887460 1014240 1109325 1183280 1267800 1419936 1479100 1690400 1774920 2218650 2366560 2535600 2958200 3549840 4437300 5071200 5916400 7099680 8874600 11832800 17749200 35498400 281287207 562574414 843861621 1125148828 1406436035 1687723242 1969010449 2250297656 2812872070 3375446484 3938020898 4219308105 4500595312 5625744140 5907031347 6750892968 7032180175 7876041796 8438616210 9001190624 9845052245 11251488280 11814062694 13501785936 14064360350 15752083592 16877232420 19690104490 21096540525 22502976560 23628125388 27003571872 28128720700 29535156735 31504167184 33754464840 39380208980 42193081050 45005953120 47256250776 49225261225 56257441400 59070313470 63008334368 67508929680 78760417960 84386162100 94512501552 98450522450 112514882800 118140626940 135017859360 147675783675 157520835920 168772324200 189025003104 196901044900 225029765600 236281253880 295351567350 315041671840 337544648400 393802089800 472562507760 590703134700 594359868391 675089296800 787604179600 945125015520 1181406269400 1188719736782 1575208359200 1783079605173 2362812538800 2377439473564 2971799341955 3566159210346 4160519078737 4725625077600 4754878947128 5943598683910 7132318420692 8321038157474 8915398025865 9509757894256 11887197367820 12481557236211 14264636841384 14858996709775 16642076314948 17830796051730 19019515788512 20802595393685 23774394735640 24963114472422 28529273682768 29717993419550 33284152629896 35661592103460 41605190787370 44576990129325 47548789471280 49926228944844 57058547365536 59435986839100 62407786181055 66568305259792 71323184206920 83210381574740 89153980258650 95097578942560 99852457889688 104012976968425 118871973678200 124815572362110 133136610519584 142646368413840 166420763149480 178307960517300 199704915779376 208025953936850 237743947356400 249631144724220 285292736827680 312038930905275 332841526298960 356615921034600 399409831558752 416051907873700 475487894712800 499262289448440 624077861810550 665683052597920 713231842069200 832103815747400 998524578896880 1248155723621100 1426463684138400 1664207631494800 1997049157793760 2496311447242200 3328415262989600 4992622894484400 9985245788968800
• Sum of all divisors σ(n): 37162693792369152
• Sum of proper divisors (its aliquot sum) s(n): 27177448003400352
• 9985245788968800 is an abundant number, because the sum of its proper divisors (27177448003400352) is greater than itself. Its abundance is 17192202214431552

Bases of 9985245788968800

• Binary: 100011011110011000011100110100001111110001011101100000₂
• Hexadecimal: 0x237987343F1760
• Base-36: 2QBH2L7CG2O

Squares and roots of 9985245788968800

• 9985245788968800 squared (9985245788968800²) is 99705133466119153183767373440000
• 9985245788968800 cubed (9985245788968800³) is 995580264081138448336316191218016902108672000000
• The square root of 9985245788968800 is 99926201.7139088501
• The cube root of 9985245788968800 is 215337.4602366593

Scales and comparisons

• 9,985,245,788,968,800 seconds is equal to 317,499,929 years, 36 weeks, 1 day, 8 hours, 40 minutes.
• To count from 1 to 9,985,245,788,968,800 would take you about nine hundred fifty-two million, four hundred ninety-nine thousand, seven hundred eighty-nine 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 9985245788968800 cubic inches would be around 17944.8 feet tall.

Recreational maths with 9985245788968800

• 9985245788968800 backwards is 0088698875425899
• 9985245788968800 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 9985245788968800's digits is 96
• More coming soon!