240968138575414040

Names of 240968138575414040

• Cardinal: 240968138575414040 can be written as Two hundred forty quadrillion, nine hundred sixty-eight trillion, one hundred thirty-eight billion, five hundred seventy-five million, four hundred fourteen thousand and forty.

Scientific notation

• Scientific notation: 2.4096813857541404 × 10¹⁷

Factors of 240968138575414040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 10440700

Divisors of 240968138575414040

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 331 376 392 470 490 658 662 757 940 980 1316 1324 1514 1645 1655 1880 1960 2303 2317 2632 2648 3028 3290 3310 3785 4606 4634 5299 6056 6580 6620 7570 9212 9268 10598 11515 11585 13160 13240 15140 15557 16219 18424 18536 21196 23030 23170 26495 30280 31114 32438 35579 37093 42392 46060 46340 52990 62228 64876 71158 74186 77785 81095 92120 92680 105980 108899 124456 129752 142316 148372 155570 162190 177895 185465 211960 217798 249053 250567 284632 296744 311140 324380 355790 370930 435596 498106 501134 544495 622280 648760 711580 741860 762293 871192 996212 1002268 1088990 1245265 1252835 1423160 1483720 1524586 1743371 1753969 1992424 2004536 2177980 2490530 2505670 3049172 3486742 3507938 3811465 4355960 4981060 5011340 6098344 6973484 7015876 7622930 8716855 8769845 9962120 10022680 10439551 11776649 12277783 13946968 14031752 15245860 17433710 17539690 20879102 23553298 24555566 30491720 34867420 35079380 41758204 47106596 49111132 52197755 58883245 61388915 69734840 70158760 73076857 82436543 83516408 94213192 98222264 104395510 117766490 122777830 146153714 164873086 208791020 235532980 245555660 292307428 329746172 365384285 412182715 417582040 471065960 490658897 491111320 511537999 577055801 584614856 659492344 730768570 824365430 981317794 1023075998 1154111602 1461537140 1648730860 1962635588 2046151996 2308223204 2453294485 2557689995 2885279005 2923074280 3297461720 3434612279 3455491381 3925271176 4092303992 4616446408 4906588970 5115379990 5770558010 6869224558 6910982762 7902740107 9813177940 10230759980 11541116020 13738449116 13821965524 15805480214 17173061395 17277456905 19626355880 20461519960 23082232040 24042285953 24188439667 27476898232 27643931048 31610960428 34346122790 34554913810 39513700535 48084571906 48376879334 55319180749 63221920856 68692245580 69109827620 79027401070 96169143812 96753758668 110638361498 120211429765 120942198335 137384491160 138219655240 158054802140 162408094907 169319077669 192338287624 193507517336 221276722996 240422859530 241884396670 276595903745 316109604280 324816189814 338638155338 371428785029 387234265243 442553445992 480845719060 483768793340 553191807490 649632379628 677276310676 742857570058 774468530486 812040474535 846595388345 961691438120 967537586680 1106383614980 1136856664349 1299264759256 1354552621352 1485715140116 1548937060972 1624080949070 1693190776690 1857143925145 1936171326215 2212767229960 2273713328698 2600001495203 2615806975417 2971430280232 3097874121944 3248161898140 3386381553380 3714287850290 3872342652430 4547426657396 5200002990406 5231613950834 5684283321745 6496323796280 6772763106760 7428575700580 7744685304860 7957996650443 9094853314792 10400005980812 10463227901668 11368566643490 13000007476015 13079034877085 14857151401160 15489370609720 15915993300886 18200010466421 18310648827919 20800011961624 20926455803336 22737133286980 26000014952030 26158069754170 31831986601772 36400020932842 36621297655838 39789983252215 45474266573960 52000029904060 52316139508340 63663973203544 72800041865684 73242595311676 79579966504430 91000052332105 91553244139595 104000059808120 104632279016680 122942927844599 128174541795433 145600083731368 146485190623352 159159933008860 182000104664210 183106488279190 245885855689198 256349083590866 318319866017720 364000209328420 366212976558380 491771711378396 512698167181732 614714639222995 640872708977165 728000418656840 732425953116760 860600494912193 983543422756792 1025396334363464 1229429278445990 1281745417954330 1721200989824386 2458858556891980 2563490835908660 3442401979648772 4303002474560965 4917717113783960 5126981671817320 6024203464385351 6884803959297544 8606004949121930 12048406928770702 17212009898243860 24096813857541404 30121017321926755 34424019796487720 48193627715082808 60242034643853510 120484069287707020 240968138575414040
• Sum of all divisors σ(n): 646915793151098880
• Sum of proper divisors (its aliquot sum) s(n): 405947654575684840
• 240968138575414040 is an abundant number, because the sum of its proper divisors (405947654575684840) is greater than itself. Its abundance is 164979516000270800

Bases of 240968138575414040

• Binary: 1101011000000101110011111011001101111110011000001100011000₂
• Hexadecimal: 0x358173ECDF98318
• Base-36: 1TWO2QN2U1W8

Squares and roots of 240968138575414040

• 240968138575414040 squared (240968138575414040²) is 58065643808499943926816357429121600
• 240968138575414040 cubed (240968138575414040³) is 13991970103717246750199284992340763493955673507264000
• The square root of 240968138575414040 is 490885056.3781851771
• The cube root of 240968138575414040 is 622280.9999999989

Scales and comparisons

• 240,968,138,575,414,040 seconds is equal to 7,662,041,443 years, 15 weeks, 6 days, 14 hours, 7 minutes, 20 seconds.
• To count from 1 to 240,968,138,575,414,040 would take you about twenty-two billion, nine hundred eighty-six million, one hundred twenty-four thousand, three hundred twenty-nine 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 240968138575414040 cubic inches would be around 51856.7 feet tall.

Recreational maths with 240968138575414040

• 240968138575414040 backwards is 040414575831869042
• The number of decimal digits it has is: 18
• The sum of 240968138575414040's digits is 71
• More coming soon!