40745517742878319

Names of 40745517742878319

• Cardinal: 40745517742878319 can be written as Forty quadrillion, seven hundred forty-five trillion, five hundred seventeen billion, seven hundred forty-two million, eight hundred seventy-eight thousand, three hundred nineteen.

Scientific notation

• Scientific notation: 4.0745517742878319 × 10¹⁶

Factors of 40745517742878319

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2044

Divisors of 40745517742878319

• Number of divisors d(n): 324
• Complete list of divisors:
  1 7 19 31 41 73 133 217 287 361 511 589 779 961 1271 1387 1681 1873 2263 2527 2993 4123 5329 5453 6727 8897 9709 11191 11767 13111 14801 15841 18259 20951 24149 26353 31939 35587 37303 39401 42997 52111 56867 58063 70153 76793 78337 92783 101251 103607 122713 127813 136729 165199 169043 184471 218489 223573 249109 275807 300979 346921 364777 398069 406441 458831 491071 537551 606841 649481 676153 708757 748619 816943 858991 957103 990109 1080473 1103197 1156393 1332907 1459067 1529423 1615441 1762877 1799953 1923769 2331547 2380583 2428447 2597851 2876273 3138781 3148513 3211817 3804103 4151291 4238599 4247887 4733071 5121169 5240333 5605889 5718601 6773159 6930763 7563311 7722379 8958049 9330349 9981217 10213469 11308087 12340139 12599671 13466383 14223761 16320829 16664081 18184957 18812071 20133911 20960743 21971467 22039591 25325233 26628721 27722273 29059037 29670193 30693379 33494663 34199107 35848183 39241223 44299393 45231077 47412113 49359169 54649187 59636839 59821747 62706343 69868519 72277957 73798073 78874529 80533381 97302211 97603903 99566327 106511891 117927193 128690021 131396569 131684497 146725201 170202931 173782559 177276631 189643123 194055911 209967929 214853653 229841449 234462641 239393749 277699519 309417727 310095751 316617539 345514183 382544309 409229897 417457873 418752229 505945699 516586511 552121703 563733667 583174201 649783033 681115477 683227321 745583237 825490351 859390463 900830147 919775983 1038334553 1136613193 1191420517 1216477913 1327501861 1373281183 1402163387 1469775503 1530134239 1608890143 1848742009 1854474157 1943896633 2023725929 2165924089 2240616667 2445110399 2496534811 2864609279 3025720993 3233855689 3301868621 3603219337 3989390651 4082219407 4366987531 4548481231 5276290861 5387259329 5878936813 6015733241 7125084919 7268341871 7775368043 7956292351 8608685089 9591949537 9612968281 9815143709 10710939673 12686126807 12941194063 12981319099 14166081503 15684316669 16778425777 17115772793 17475743677 21180046951 22636989823 23113080347 25222535359 26641104353 27925734557 30568912717 35235008983 36934036027 37710815303 41152557691 42571716673 47434161409 49875594433 54427576301 57488698867 60260795623 62735503799 67143646759 75798422369 82972763089 88802887649 100249526359 102357927251 111699799447 117448980439 135376613461 147731992817 163565016691 182247041203 186487730471 220877632489 241036409333 246645062881 298002016711 318790089763 332039129863 393269931017 402420892069 439148526593 520131199087 530588956583 580809341623 701746684513 716505490757 781898596129 947636294227 1034123949719 1092285278473 1144955116837 1275729288421 1546143427423 1687254865331 1944800617769 2231530628341 2572155655759 2752889517119 3107735317129 3462693782857 3640918393609 4196675017291 4579691777327 6057011705497 7472128689323 7645996949311 9882492782653 13613604324383 16124067171697 18005089590313 21754147219903 24238856479999 29376725121037 32057842441289 42399081938479 52304900825261 69177449478571 79736825328529 112868470201879 141970445097137 187767362870407 306357276262243 558157777299703 993793115679959 1314371540092849 2144500933835701 5820788248982617 40745517742878319
• Sum of all divisors σ(n): 52802446196139984
• Sum of proper divisors (its aliquot sum) s(n): 12056928453261665
• 40745517742878319 is a deficient number, because the sum of its proper divisors (12056928453261665) is less than itself. Its deficiency is 28688589289616654

Bases of 40745517742878319

• Binary: 10010000110000011101010100011111010000001110111001101111₂
• Hexadecimal: 0x90C1D51F40EE6F
• Base-36: B572WFY0M7J

Squares and roots of 40745517742878319

• 40745517742878319 squared (40745517742878319²) is 1660197216135211903360042840265761
• 40745517742878319 cubed (40745517742878319³) is 67645595126714468037964878145675926288051044935759
• The square root of 40745517742878319 is 201855190.0320581775
• The cube root of 40745517742878319 is 344106.8200322347

Scales and comparisons

• 40,745,517,742,878,319 seconds is equal to 1,295,581,430 years, 3 weeks, 1 day, 13 hours, 45 minutes, 19 seconds.
• To count from 1 to 40,745,517,742,878,319 would take you about three billion, eight hundred eighty-six million, seven hundred forty-four thousand, two hundred ninety 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 40745517742878319 cubic inches would be around 28675.6 feet tall.

Recreational maths with 40745517742878319

• 40745517742878319 backwards is 91387824771554704
• The number of decimal digits it has is: 17
• The sum of 40745517742878319's digits is 82
• More coming soon!