40214387735942112

Names of 40214387735942112

• Cardinal: 40214387735942112 can be written as Forty quadrillion, two hundred fourteen trillion, three hundred eighty-seven billion, seven hundred thirty-five million, nine hundred forty-two thousand, one hundred twelve.

Scientific notation

• Scientific notation: 4.0214387735942112 × 10¹⁶

Factors of 40214387735942112

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 201491040066

Divisors of 40214387735942112

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 81 84 88 96 99 108 112 126 132 144 154 162 168 176 189 198 216 224 231 252 264 288 297 308 324 336 352 378 396 432 462 504 528 567 594 616 648 672 693 756 792 864 891 924 1008 1056 1134 1188 1232 1296 1386 1512 1584 1782 1848 2016 2079 2268 2376 2464 2592 2772 3024 3168 3564 3696 4158 4536 4752 5544 6048 6237 7128 7392 8316 9072 9504 11088 12474 14256 16632 18144 22176 24948 28512 33264 49896 66528 99792 199584 201491040043 402982080086 604473120129 805964160172 1208946240258 1410437280301 1611928320344 1813419360387 2216401440473 2417892480516 2820874560602 3223856640688 3626838720774 4231311840903 4432802880946 4835784961032 5440258081161 5641749121204 6447713281376 6649204321419 7253677441548 8462623681806 8865605761892 9671569922064 10880516162322 11283498242408 12693935522709 13298408642838 14507354883096 15514810083311 16320774243483 16925247363612 17731211523784 19343139844128 19947612964257 21761032324644 22566996484816 25387871045418 26596817285676 29014709766192 31029620166622 32641548486966 33850494727224 35462423047568 38081806568127 39895225928514 43522064649288 45133992969632 46544430249933 50775742090836 53193634571352 58029419532384 59842838892771 62059240333244 65283096973932 67700989454448 70924846095136 76163613136254 79790451857028 87044129298576 93088860499866 101551484181672 106387269142704 114245419704381 119685677785542 124118480666488 130566193947864 135401978908896 139633290749799 152327226272508 159580903714056 174088258597152 179528516678313 186177720999732 203102968363344 212774538285408 228490839408762 239371355571084 248236961332976 261132387895728 279266581499598 304654452545016 319161807428112 359057033356626 372355441999464 406205936726688 418899872249397 456981678817524 478742711142168 496473922665952 522264775791456 558533162999196 609308905090032 638323614856224 718114066713252 744710883998928 837799744498794 913963357635048 957485422284336 1117066325998392 1218617810180064 1256699616748191 1436228133426504 1489421767997856 1675599488997588 1827926715270096 1914970844568672 2234132651996784 2513399233496382 2872456266853008 3351198977995176 3655853430540192 4468265303993568 5026798466992764 5744912533706016 6702397955990352 10053596933985528 13404795911980704 20107193867971056 40214387735942112
• Sum of all divisors σ(n): 147452755032519552
• Sum of proper divisors (its aliquot sum) s(n): 107238367296577440
• 40214387735942112 is an abundant number, because the sum of its proper divisors (107238367296577440) is greater than itself. Its abundance is 67023979560635328

Bases of 40214387735942112

• Binary: 10001110110111101100010111000111110111000101001111100000₂
• Hexadecimal: 0x8EDEC5C7DC53E0
• Base-36: AZYT6OP9A00

Squares and roots of 40214387735942112

• 40214387735942112 squared (40214387735942112²) is 1617196980976691344741480215020544
• 40214387735942112 cubed (40214387735942112³) is 65034586438391665416994351340844412814961274748928
• The square root of 40214387735942112 is 200535253.1001522235
• The cube root of 40214387735942112 is 342605.0974424021

Scales and comparisons

• 40,214,387,735,942,112 seconds is equal to 1,278,693,138 years, 38 weeks, 1 day, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 40,214,387,735,942,112 would take you about three billion, eight hundred thirty-six million, seventy-nine thousand, four hundred sixteen 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 40214387735942112 cubic inches would be around 28550.4 feet tall.

Recreational maths with 40214387735942112

• 40214387735942112 backwards is 21124953778341204
• 40214387735942112 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40214387735942112's digits is 63
• More coming soon!