109148837164922304

Names of 109148837164922304

• Cardinal: 109148837164922304 can be written as One hundred nine quadrillion, one hundred forty-eight trillion, eight hundred thirty-seven billion, one hundred sixty-four million, nine hundred twenty-two thousand, three hundred four.

Scientific notation

• Scientific notation: 1.09148837164922304 × 10¹⁷

Factors of 109148837164922304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2382761

Divisors of 109148837164922304

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 67 72 87 96 108 116 134 144 174 192 201 216 232 261 268 288 348 402 432 464 522 536 576 603 696 783 804 864 928 1044 1072 1206 1392 1566 1608 1728 1809 1856 1943 2088 2144 2412 2784 3132 3216 3618 3886 4176 4288 4824 5568 5829 6264 6432 7236 7772 8352 9648 11658 12528 12864 13723 14472 15544 16704 17487 19296 23316 25056 27446 28944 31088 34974 38592 41169 46632 50112 52461 54892 57888 62176 69948 82338 93264 104922 109784 115776 123507 124352 139896 164676 186528 209844 219568 247014 279792 329352 370521 373056 397967 419688 439136 494028 559584 658704 741042 795934 839376 878272 919441 988056 1119168 1193901 1317408 1482084 1591868 1678752 1838882 1976112 2368937 2387802 2634816 2758323 2964168 3183736 3357504 3581703 3677764 3952224 4737874 4775604 5516646 5928336 6367472 7106811 7163406 7355528 7904448 8274969 9475748 9551208 10745109 11033292 11856672 12734944 14213622 14326812 14711056 16549938 18951496 19102416 21320433 21490218 22066584 23713344 24824907 25469888 26663789 28427244 28653624 29422112 33099876 37902992 38204832 42640866 42980436 44133168 49649814 53327578 56854488 57307248 58844224 63961299 66199752 68699173 75805984 76409664 79991367 85281732 85960872 88266336 99299628 106655156 113708976 114614496 127922598 132399504 137398346 151611968 158718779 159982734 170563464 171921744 176532672 198599256 206097519 213310312 227417952 229228992 239974101 255845196 264799008 274796692 317437558 319965468 341126928 343843488 397198512 412195038 426620624 454835904 476156337 479948202 511690392 529598016 549593384 618292557 634875116 639930936 682253856 687686976 719922303 794397024 824390076 853241248 952312674 959896404 1023380784 1099186768 1236585114 1269750232 1279861872 1364507712 1428469011 1439844606 1588794048 1648780152 1706482496 1854877671 1904625348 1919792808 2046761568 2198373536 2473170228 2539500464 2559723744 2856938022 2879689212 3297560304 3709755342 3809250696 3839585616 4093523136 4285407033 4396747072 4602844591 4946340456 5079000928 5119447488 5713876044 5759378424 6595120608 7419510684 7618501392 7679171232 8570814066 9205689182 9892680912 10158001856 11427752088 11518756848 13190241216 13808533773 14839021368 15237002784 15358342464 17141628132 18411378364 19785361824 22855504176 23037513696 27617067546 29678042736 30474005568 32508922451 34283256264 36822756728 39570723648 41425601319 45711008352 46075027392 55234135092 59356085472 65017844902 68566512528 73645513456 82851202638 91422016704 97526767353 110468270184 118712170944 124276803957 130035689804 137133025056 147291026912 165702405276 195053534706 220936540368 248553607914 260071379608 274266050112 292580302059 294582053824 331404810552 390107069412 441873080736 497107215828 520142759216 585160604118 662809621104 780214138824 877740906177 883746161472 942758751079 994214431656 1040285518432 1170321208236 1325619242208 1560428277648 1755481812354 1885517502158 1988428863312 2080571036864 2178097804217 2340642416472 2651238484416 2828276253237 3120856555296 3510963624708 3771035004316 3976857726624 4356195608434 4681284832944 5656552506474 6241713110592 6534293412651 7021927249416 7542070008632 7953715453248 8484828759711 8712391216868 9362569665888 11313105012948 13068586825302 14043854498832 15084140017264 16969657519422 17424782433736 18725139331776 19602880237953 22626210025896 25454486279133 26137173650604 28087708997664 30168280034528 33939315038844 34849564867472 39205760475906 45252420051792 50908972558266 52274347301208 56175417995328 58808640713859 60336560069056 63164836322293 67878630077688 69699129734944 78411520951812 90504840103584 101817945116532 104548694602416 117617281427718 126329672644586 135757260155376 139398259469888 156823041903624 181009680207168 189494508966879 203635890233064 209097389204832 235234562855436 252659345289172 271514520310752 313646083807248 378989017933758 407271780466128 418194778409664 470469125710872 505318690578344 543029040621504 568483526900637 627292167614496 757978035867516 814543560932256 940938251421744 1010637381156688 1136967053801274 1254584335228992 1515956071735032 1629087121864512 1705450580701911 1881876502843488 2021274762313376 2273934107602548 3031912143470064 3410901161403822 3763753005686976 4042549524626752 4547868215205096 6063824286940128 6821802322807644 9095736430410192 12127648573880256 13643604645615288 18191472860820384 27287209291230576 36382945721640768 54574418582461152 109148837164922304
• Sum of all divisors σ(n): 336921157136678400
• Sum of proper divisors (its aliquot sum) s(n): 227772319971756096
• 109148837164922304 is an abundant number, because the sum of its proper divisors (227772319971756096) is greater than itself. Its abundance is 118623482806833792

Bases of 109148837164922304

• Binary: 110000011110001100100101000000010110111001011010111000000₂
• Hexadecimal: 0x183C64A02DCB5C0
• Base-36: TUQ17KKJ5C0

Squares and roots of 109148837164922304

• 109148837164922304 squared (109148837164922304²) is 11913468654454724381120262356668416
• 109148837164922304 cubed (109148837164922304³) is 1300341250234484734479274401984564569978416930750464
• The square root of 109148837164922304 is 330376810.8764934247
• The cube root of 109148837164922304 is 477902.9423756805

Scales and comparisons

• 109,148,837,164,922,304 seconds is equal to 3,470,595,402 years, 16 weeks, 5 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 109,148,837,164,922,304 would take you about ten billion, four hundred eleven million, seven hundred eighty-six thousand, two hundred six 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 109148837164922304 cubic inches would be around 39825.2 feet tall.

Recreational maths with 109148837164922304

• 109148837164922304 backwards is 403229461738841901
• 109148837164922304 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 109148837164922304's digits is 72
• More coming soon!