40442409130768

Names of 40442409130768

• Cardinal: 40442409130768 can be written as Forty trillion, four hundred forty-two billion, four hundred nine million, one hundred thirty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0442409130768 × 10¹³

Factors of 40442409130768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2248

Divisors of 40442409130768

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 16 31 43 62 71 86 113 124 127 142 172 226 248 254 284 344 452 496 508 568 688 904 1016 1136 1333 1808 1861 2032 2201 2666 3053 3503 3722 3937 4402 4859 5332 5461 6106 7006 7444 7874 8023 8804 9017 9718 10664 10922 12212 14012 14351 14888 15748 16046 17608 18034 19436 21328 21844 24424 28024 28702 29776 31496 32092 35216 36068 38872 43688 48848 56048 57404 57691 62992 64184 72136 77744 80023 87376 94643 114808 115382 128368 132131 144272 150629 160046 169291 189286 210293 229616 230764 236347 248713 264262 279527 301258 320092 338582 344989 378572 387731 420586 444881 461528 472694 497426 528524 559054 602516 617093 640184 677164 689978 757144 775462 841172 889762 923056 945388 994852 1018921 1057048 1118108 1205032 1234186 1280368 1354328 1379956 1514288 1550924 1682344 1779524 1890776 1989704 2037842 2114096 2236216 2410064 2468372 2480713 2708656 2759912 3101848 3364688 3559048 3781552 3979408 4075684 4096061 4472432 4936744 4961426 5519824 5681633 6203696 6519083 7118096 7326757 8151368 8192122 9042599 9873488 9922852 10162921 10694659 11363266 12019661 13038166 14653514 14930803 16302736 16384244 16780637 18085198 19129883 19845704 20325842 21389318 22726532 24039322 26076332 26707211 29307028 29861606 31586551 32768488 33561274 36170396 38259766 39691408 40651684 42778636 43813603 45453064 48078644 52152664 53414422 58614056 59723212 63173102 65536976 67122548 72340792 76519532 81303368 85557272 87627206 90906128 96157288 104305328 106828844 117228112 119446424 126346204 134245096 144681584 153039064 162606736 171114544 175254412 176130623 192314576 213657688 238892848 252692408 268490192 280320569 306078128 315050551 350508824 352261246 427315376 462854893 505384816 520199747 560641138 630101102 642024529 701017648 704522492 721567391 827923541 925709786 1040399494 1121282276 1148410073 1260202204 1284049058 1358221693 1409044984 1443134782 1655847082 1851419572 1896211981 2080798988 2242564552 2296820146 2520404408 2568098116 2716443386 2818089968 2886269564 3311694164 3702839144 3792423962 4161597976 4485129104 4593640292 5040808816 5136196232 5432886772 5772539128 6623388328 7405678288 7584847924 8323195952 9187280584 10272392464 10865773544 11545078256 13246776656 15169695848 18374561168 19902760399 21731547088 22368589121 30339391696 35600712263 39805520798 44737178242 58782571411 71201424526 79611041596 81537115183 89474356484 117565142822 142402849052 159222083192 163074230366 178948712968 235130285644 284805698104 318444166384 326148460732 357897425936 470260571288 569611396208 652296921464 940521142576 1304593842928 2527650570673 5055301141346 10110602282692 20221204565384 40442409130768
• Sum of all divisors σ(n): 85386918887424
• Sum of proper divisors (its aliquot sum) s(n): 44944509756656
• 40442409130768 is an abundant number, because the sum of its proper divisors (44944509756656) is greater than itself. Its abundance is 4502100625888

Bases of 40442409130768

• Binary: 1001001100100000111011011011100001101100010000₂
• Hexadecimal: 0x24C83B6E1B10
• Base-36: EC2ZI7CWG

Squares and roots of 40442409130768

• 40442409130768 squared (40442409130768²) is 1635588456300426897324269824
• 40442409130768 cubed (40442409130768³) is 66147137519263122709683350357866132344832
• The square root of 40442409130768 is 6359434.6549648579
• The cube root of 40442409130768 is 34325.1417552713

Scales and comparisons

• 40,442,409,130,768 seconds is equal to 1,285,943 years, 26 weeks, 5 days, 19 minutes, 28 seconds.
• To count from 1 to 40,442,409,130,768 would take you about three million, two hundred fourteen thousand, eight hundred fifty-eight 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 40442409130768 cubic inches would be around 2860.4 feet tall.

Recreational maths with 40442409130768

• 40442409130768 backwards is 86703190424404
• The number of decimal digits it has is: 14
• The sum of 40442409130768's digits is 52
• More coming soon!