40216128594681312

Names of 40216128594681312

• Cardinal: 40216128594681312 can be written as Forty quadrillion, two hundred sixteen trillion, one hundred twenty-eight billion, five hundred ninety-four million, six hundred eighty-one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.0216128594681312 × 10¹⁶

Factors of 40216128594681312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 170499799046

Divisors of 40216128594681312

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 72 78 81 84 91 96 104 108 112 117 126 144 156 162 168 182 189 208 216 224 234 252 273 288 312 324 336 351 364 378 416 432 468 504 546 567 624 648 672 702 728 756 819 864 936 1008 1053 1092 1134 1248 1296 1404 1456 1512 1638 1872 2016 2106 2184 2268 2457 2592 2808 2912 3024 3276 3744 4212 4368 4536 4914 5616 6048 6552 7371 8424 8736 9072 9828 11232 13104 14742 16848 18144 19656 26208 29484 33696 39312 58968 78624 117936 235872 170499799021 340999598042 511499397063 681999196084 1022998794126 1193498593147 1363998392168 1534498191189 2045997588252 2216497387273 2386997186294 2727996784336 3068996382378 3580495779441 4091995176504 4432994774546 4603494573567 4773994372588 5455993568672 6137992764756 6649492161819 7160991558882 8183990353008 8865989549092 9206989147134 9547988745176 10741487338323 12275985529512 13298984323638 13810483720701 14321983117764 15515481710911 16367980706016 17731979098184 18413978294268 19095977490352 19948476485457 21482974676646 24551971059024 26597968647276 27620967441402 28643966235528 31030963421822 32224462014969 35463958196368 36827956588536 38191954980704 39896952970914 42965949353292 46546445132733 49103942118048 53195937294552 55241934882804 57287932471056 59845429456371 62061926843644 64448924029938 70927916392736 73655913177072 79793905941828 85931898706584 93092890265466 96673386044907 106391874589104 110483869765608 114575864942112 119690858912742 124123853687288 128897848059876 139639335398199 147311826354144 159587811883656 171863797413168 179536288369113 186185780530932 193346772089814 212783749178208 220967739531216 239381717825484 248247707374576 257795696119752 279278670796398 319175623767312 343727594826336 359072576738226 372371561061864 386693544179628 418918006194597 441935479062432 478763435650968 496495414749152 515591392239504 558557341592796 638351247534624 718145153476452 744743122123728 773387088359256 837836012389194 957526871301936 1031182784479008 1117114683185592 1256754018583791 1436290306952904 1489486244247456 1546774176718512 1675672024778388 1915053742603872 2234229366371184 2513508037167582 2872580613905808 3093548353437024 3351344049556776 4468458732742368 5027016074335164 5745161227811616 6702688099113552 10054032148670328 13405376198227104 20108064297340656 40216128594681312
• Sum of all divisors σ(n): 145568636409807072
• Sum of proper divisors (its aliquot sum) s(n): 105352507815125760
• 40216128594681312 is an abundant number, because the sum of its proper divisors (105352507815125760) is greater than itself. Its abundance is 65136379220444448

Bases of 40216128594681312

• Binary: 10001110111000000101101100011011001000001001110111100000₂
• Hexadecimal: 0x8EE05B1B209DE0
• Base-36: AZZFEFBLQ00

Squares and roots of 40216128594681312

• 40216128594681312 squared (40216128594681312²) is 1617336999143943878845734842041344
• 40216128594681312 cubed (40216128594681312³) is 65043032738508826053539987387945113065291208163328
• The square root of 40216128594681312 is 200539593.5836145849
• The cube root of 40216128594681312 is 342610.0410998461

Scales and comparisons

• 40,216,128,594,681,312 seconds is equal to 1,278,748,492 years, 34 weeks, 1 day, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 40,216,128,594,681,312 would take you about three billion, eight hundred thirty-six million, two hundred forty-five thousand, four hundred seventy-seven 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 40216128594681312 cubic inches would be around 28550.8 feet tall.

Recreational maths with 40216128594681312

• 40216128594681312 backwards is 21318649582161204
• 40216128594681312 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40216128594681312's digits is 63
• More coming soon!