442118117019015424

Names of 442118117019015424

• Cardinal: 442118117019015424 can be written as Four hundred forty-two quadrillion, one hundred eighteen trillion, one hundred seventeen billion, nineteen million, fifteen thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 4.42118117019015424 × 10¹⁷

Factors of 442118117019015424

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 78025

Divisors of 442118117019015424

• Number of divisors d(n): 243
• Complete list of divisors:
  1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 169 208 256 328 338 416 533 656 676 832 1066 1312 1352 1664 1681 2132 2624 2704 3328 3362 4264 5248 5408 6724 6929 8528 10496 10816 13448 13858 17056 21632 21853 26896 27716 34112 43264 43706 53792 55432 68224 77969 87412 107584 110864 136448 155938 174824 215168 221728 284089 311876 349648 430336 443456 568178 623752 699296 886912 1013597 1136356 1247504 1398592 1773824 2027194 2272712 2495008 2797184 3196729 4054388 4545424 4990016 5594368 6393458 8108776 9090848 9980032 12786916 13176761 16217552 18181696 19960064 25573832 26353522 32435104 36363392 41557477 51147664 52707044 64870208 72726784 83114954 102295328 105414088 129740416 131065889 166229908 204590656 210828176 259480832 262131778 332459816 409181312 421656352 524263556 540247201 664919632 818362624 843312704 1048527112 1080494402 1329839264 1686625408 1703856557 2097054224 2160988804 2659678528 3373250816 3407713114 4194108448 4321977608 5319357056 6079164961 6815426228 8388216896 8643955216 10638714112 12158329922 13630852456 16776433792 17287910432 22150135241 24316659844 27261704912 33552867584 34575820864 44300270482 48633319688 54523409824 69151641728 79029144493 88600540964 97266639376 109046819648 138303283456 158058288986 177201081928 194533278752 218093639296 249245763401 316116577972 354402163856 389066557504 436187278592 498491526802 632233155944 708804327712 778133115008 996983053604 1027378878409 1264466311888 1417608655424 1556266230016 1993966107208 2054757756818 2528932623776 2835217310848 3240194924213 3987932214416 4109515513636 5057865247552 5670434621696 6480389848426 7975864428832 8219031027272 10115730495104 10219076299441 12960779696852 15951728857664 16438062054544 20231460990208 20438152598882 25921559393704 31903457715328 32876124109088 40876305197764 42122534014769 51843118787408 63806915430656 65752248218176 81752610395528 84245068029538 103686237574816 131504496436352 132847991892733 163505220791056 168490136059076 207372475149632 263008992872704 265695983785466 327010441582112 336980272118152 414744950299264 531391967570932 654020883164224 673960544236304 829489900598528 1062783935141864 1308041766328448 1347921088472608 1727023894605529 2125567870283728 2616083532656896 2695842176945216 3454047789211058 4251135740567456 5391684353890432 6908095578422116 8502271481134912 10783368707780864 13816191156844232 17004542962269824 27632382313688464 34009085924539648 55264764627376928 110529529254753856 221059058509507712 442118117019015424
• Sum of all divisors σ(n): 979505244767976969
• Sum of proper divisors (its aliquot sum) s(n): 537387127748961545
• 442118117019015424 is an abundant number, because the sum of its proper divisors (537387127748961545) is greater than itself. Its abundance is 95269010729946121

Bases of 442118117019015424

• Binary: 11000100010101110000001010111000001101011101101100100000000₂
• Hexadecimal: 0x622B815C1AED900
• Base-36: 3CX9SJ1LM7LS

Squares and roots of 442118117019015424

• 442118117019015424 squared (442118117019015424²) is 195468429396439815906034802349899776
• 442118117019015424 cubed (442118117019015424³) is 86420133941418332975790122941340060029281332598145024
• 442118117019015424 is a perfect square number. Its square root is 664919632
• The cube root of 442118117019015424 is 761809.0084100645

Scales and comparisons

• 442,118,117,019,015,424 seconds is equal to 14,057,988,560 years, 4 weeks, 5 hours, 37 minutes, 4 seconds.
• To count from 1 to 442,118,117,019,015,424 would take you about forty-two billion, one hundred seventy-three million, nine hundred sixty-five thousand, six hundred eighty 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 442118117019015424 cubic inches would be around 63484.1 feet tall.

Recreational maths with 442118117019015424

• 442118117019015424 backwards is 424510910711811244
• The number of decimal digits it has is: 18
• The sum of 442118117019015424's digits is 55
• More coming soon!