107968009985870939345408

Names of 107968009985870939345408

• Cardinal: 107968009985870939345408 can be written as One hundred seven sextillion, nine hundred sixty-eight quintillion, nine quadrillion, nine hundred eighty-five trillion, eight hundred seventy billion, nine hundred thirty-nine million, three hundred forty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.07968009985870939345408 × 10²³

Factors of 107968009985870939345408

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1110

Divisors of 107968009985870939345408

• Number of divisors d(n): 210
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1097 1408 1936 2194 2816 3872 4388 5632 7744 8776 12067 15488 17552 24134 30976 35104 48268 61952 70208 96536 132737 140416 193072 265474 280832 386144 530948 561664 772288 1061896 1203409 1544576 2123792 2406818 3089152 4247584 4813636 6178304 8495168 9627272 13237499 16990336 19254544 26474998 33980672 38509088 52949996 67961344 77018176 105899992 145612489 154036352 211799984 291224978 308072704 423599968 582449956 616145408 847199936 1164899912 1320139673 1694399872 2329799824 2640279346 3388799744 4659599648 5280558692 6777599488 9319199296 10561117384 14521536403 18638398592 21122234768 29043072806 37276797184 42244469536 58086145612 74553594368 84488939072 116172291224 159736900433 168977878144 232344582448 319473800866 337955756288 464689164896 638947601732 675911512576 929378329792 1277895203464 1448193221281 1858756659584 2555790406928 2896386442562 3717513319168 5111580813856 5792772885124 7435026638336 10223161627712 11585545770248 15930125434091 20446323255424 23171091540496 31860250868182 40892646510848 46342183080992 63720501736364 81785293021696 92684366161984 127441003472728 175231379775001 185368732323968 254882006945456 350462759550002 370737464647936 509764013890912 700925519100004 741474929295872 1019528027781824 1401851038200008 1588667963745257 2039056055563648 2803702076400016 3177335927490514 4078112111127296 5607404152800032 6354671854981028 8156224222254592 11214808305600064 12709343709962056 17475347601197827 22429616611200128 25418687419924112 34950695202395654 44859233222400256 50837374839848224 69901390404791308 89718466444800512 101674749679696448 139802780809582616 192228823613176097 203349499359392896 279605561619165232 384457647226352194 406698998718785792 559211123238330464 768915294452704388 813397997437571584 1118422246476660928 1537830588905408776 1742768756228546929 2236844492953321856 3075661177810817552 3485537512457093858 4473688985906643712 6151322355621635104 6971075024914187716 8947377971813287424 12302644711243270208 13942150049828375432 19170456318514016219 24605289422486540416 27884300099656750864 38340912637028032438 49210578844973080832 55768600199313501728 76681825274056064876 98421157689946161664 111537200398627003456 153363650548112129752 210875019503654178409 223074400797254006912 306727301096224259504 421750039007308356818 446148801594508013824 613454602192448519008 843500078014616713636 892297603189016027648 1226909204384897038016 1687000156029233427272 2453818408769794076032 3374000312058466854544 4907636817539588152064 6748000624116933709088 9815273635079176304128 13496001248233867418176 26992002496467734836352 53984004992935469672704 107968009985870939345408
• Sum of all divisors σ(n): 237335723997681344593173
• Sum of proper divisors (its aliquot sum) s(n): 129367714011810405247765
• 107968009985870939345408 is an abundant number, because the sum of its proper divisors (129367714011810405247765) is greater than itself. Its abundance is 21399704025939465902357

Bases of 107968009985870939345408

• Binary: 10110110111001111010100100001111100110001110111000001000111001101001000000000₂
• Hexadecimal: 0x16DCF521F31DC11CD200
• Base-36: HKXUBMVK6GEIT4W

Squares and roots of 107968009985870939345408

• 107968009985870939345408 squared (107968009985870939345408²) is 11657091180309126876108439151141139715530686464
• 107968009985870939345408 cubed (107968009985870939345408³) is 1258592936961823865308247617273737400859416679119119710440293046157312
• The square root of 107968009985870939345408 is 328584859641.8753731033
• The cube root of 107968009985870939345408 is 47617329.1519398069
• Being both a perfect square and a perfect cube, 107968009985870939345408 is also a perfect sixth number.

Scales and comparisons

• 107,968,009,985,870,939,345,408 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 107,968,009,985,870,939,345,408 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 107968009985870939345408 cubic inches would be around 3968110.8 feet tall.

Recreational maths with 107968009985870939345408

• 107968009985870939345408 backwards is 804543939078589900869701
• The number of decimal digits it has is: 24
• The sum of 107968009985870939345408's digits is 122
• More coming soon!