46973166226240128

Names of 46973166226240128

• Cardinal: 46973166226240128 can be written as Forty-six quadrillion, nine hundred seventy-three trillion, one hundred sixty-six billion, two hundred twenty-six million, two hundred forty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.6973166226240128 × 10¹⁶

Factors of 46973166226240128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8698425262

Divisors of 46973166226240128

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 98 112 123 128 147 164 168 192 196 224 246 287 294 328 336 343 384 392 448 492 574 588 656 672 686 784 861 896 984 1029 1148 1176 1312 1344 1372 1568 1722 1968 2009 2058 2296 2352 2624 2688 2744 3136 3444 3936 4018 4116 4592 4704 5248 5488 6027 6272 6888 7872 8036 8232 9184 9408 10976 12054 13776 14063 15744 16072 16464 18368 18816 21952 24108 27552 28126 32144 32928 36736 42189 43904 48216 55104 56252 64288 65856 84378 96432 110208 112504 128576 131712 168756 192864 225008 257152 337512 385728 450016 675024 771456 900032 1350048 1800064 2700096 5400192 8698425209 17396850418 26095275627 34793700836 52190551254 60888976463 69587401672 104381102508 121777952926 139174803344 182666929389 208762205016 243555905852 278349606688 356635433569 365333858778 417524410032 426222835241 487111811704 556699213376 713270867138 730667717556 835048820064 852445670482 974223623408 1069906300707 1113398426752 1278668505723 1426541734276 1461335435112 1670097640128 1704891340964 1948447246816 2139812601414 2496448034983 2557337011446 2853083468552 2922670870224 2983559846687 3340195280256 3409782681928 3896894493632 4279625202828 4992896069966 5114674022892 5706166937104 5845341740448 5967119693374 6819565363856 7489344104949 7793788987264 8559250405656 8950679540061 9985792139932 10229348045784 11412333874208 11690683480896 11934239386748 13639130727712 14978688209898 17118500811312 17475136244881 17901359080122 19971584279864 20458696091568 22824667748416 23381366961792 23868478773496 27278261455424 29957376419796 34237001622624 34950272489762 35802718160244 39943168559728 40917392183136 45649335496832 47736957546992 52425408734643 54556522910848 59914752839592 68474003245248 69900544979524 71605436320488 79886337119456 81834784366272 95473915093984 104850817469286 119829505679184 122325953714167 136948006490496 139801089959048 143210872640976 159772674238912 163669568732544 190947830187968 209701634938572 239659011358368 244651907428334 279602179918096 286421745281952 319545348477824 366977861142501 381895660375936 419403269877144 479318022716736 489303814856668 559204359836192 572843490563904 733955722285002 838806539754288 958636045433472 978607629713336 1118408719672384 1145686981127808 1467911444570004 1677613079508576 1957215259426672 2236817439344768 2935822889140008 3355226159017152 3914430518853344 5871645778280016 6710452318034304 7828861037706688 11743291556560032 15657722075413376 23486583113120064 46973166226240128
• Sum of all divisors σ(n): 149056214398560000
• Sum of proper divisors (its aliquot sum) s(n): 102083048172319872
• 46973166226240128 is an abundant number, because the sum of its proper divisors (102083048172319872) is greater than itself. Its abundance is 55109881946079744

Bases of 46973166226240128

• Binary: 10100110111000011101100010000110111000111111001010000000₂
• Hexadecimal: 0xA6E1D886E3F280
• Base-36: CUILINRW3UO

Squares and roots of 46973166226240128

• 46973166226240128 squared (46973166226240128²) is 2206478345317986227995091517456384
• 46973166226240128 cubed (46973166226240128³) is 103645274089221033147296685958517311672790550577152
• The square root of 46973166226240128 is 216732937.5665824541
• The cube root of 46973166226240128 is 360813.9152069299

Scales and comparisons

• 46,973,166,226,240,128 seconds is equal to 1,493,601,388 years, 23 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
• To count from 1 to 46,973,166,226,240,128 would take you about four billion, four hundred eighty million, eight hundred four thousand, one hundred sixty-five 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 46973166226240128 cubic inches would be around 30067.8 feet tall.

Recreational maths with 46973166226240128

• 46973166226240128 backwards is 82104262266137964
• The number of decimal digits it has is: 17
• The sum of 46973166226240128's digits is 69
• More coming soon!