11948481705424320

Names of 11948481705424320

• Cardinal: 11948481705424320 can be written as Eleven quadrillion, nine hundred forty-eight trillion, four hundred eighty-one billion, seven hundred five million, four hundred twenty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.194848170542432 × 10¹⁶

Factors of 11948481705424320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 11621227961

Divisors of 11948481705424320

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 51 54 56 60 63 64 68 70 72 80 84 85 90 96 102 105 108 112 119 120 126 135 136 140 144 153 160 168 170 180 189 192 204 210 216 224 238 240 252 255 270 272 280 288 306 315 320 336 340 357 360 378 408 420 432 448 459 476 480 504 510 540 544 560 576 595 612 630 672 680 714 720 756 765 816 840 864 918 945 952 960 1008 1020 1071 1080 1088 1120 1190 1224 1260 1344 1360 1428 1440 1512 1530 1632 1680 1728 1785 1836 1890 1904 2016 2040 2142 2160 2240 2295 2380 2448 2520 2720 2856 2880 3024 3060 3213 3264 3360 3570 3672 3780 3808 4032 4080 4284 4320 4590 4760 4896 5040 5355 5440 5712 6048 6120 6426 6720 7140 7344 7560 7616 8160 8568 8640 9180 9520 9792 10080 10710 11424 12096 12240 12852 14280 14688 15120 16065 16320 17136 18360 19040 20160 21420 22848 24480 25704 28560 29376 30240 32130 34272 36720 38080 42840 48960 51408 57120 60480 64260 68544 73440 85680 102816 114240 128520 146880 171360 205632 257040 342720 514080 1028160 11621227927 23242455854 34863683781 46484911708 58106139635 69727367562 81348595489 92969823416 104591051343 116212279270 139454735124 162697190978 174318418905 185939646832 197560874759 209182102686 232424558540 244045786467 278909470248 313773154029 325394381956 348636837810 371879293664 395121749518 406742977445 418364205372 464849117080 488091572934 522955256715 557818940496 592682624277 627546308058 650788763912 697273675620 732137359401 743758587328 790243499036 813485954890 836728410744 929698234160 976183145868 987804373795 1045910513430 1115637880992 1185365248554 1220228932335 1255092616116 1301577527824 1382926123313 1394547351240 1464274718802 1568865770145 1580486998072 1626971909780 1673456821488 1778047872831 1859396468320 1952366291736 1975608747590 2091821026860 2196412078203 2231275761984 2370730497108 2440457864670 2510185232232 2603155055648 2765852246626 2789094702480 2928549437604 2963413121385 3137731540290 3160973996144 3253943819560 3346913642976 3556095745662 3660686797005 3718792936640 3904732583472 3951217495180 4148778369939 4183642053720 4392824156406 4741460994216 4880915729340 5020370464464 5206310111296 5334143618493 5531704493252 5578189404960 5857098875208 5926826242770 6275463080580 6321947992288 6507887639120 6693827285952 6914630616565 7112191491324 7321373594010 7809465166944 7902434990360 8297556739878 8367284107440 8785648312812 8890239364155 9482921988432 9761831458680 10040740928928 10668287236986 10982060391015 11063408986504 11156378809920 11714197750416 11853652485540 12446335109817 12550926161160 12643895984576 13015775278240 13829261233130 14224382982648 14642747188020 15618930333888 15804869980720 16595113479756 16734568214880 17571296625624 17780478728310 18965843976864 19523662917360 20081481857856 20743891849695 21336574473972 21964120782030 22126817973008 23428395500832 23707304971080 24892670219634 25101852322320 26031550556480 26670718092465 27658522466260 28448765965296 29285494376040 31609739961440 33190226959512 33469136429760 35142593251248 35560957456620 37339005329451 37931687953728 39047325834720 41487783699390 42673148947944 43928241564060 44253635946016 46856791001664 47414609942160 49785340439268 50203704644640 53341436184930 55317044932520 56897531930592 58570988752080 62231675549085 63219479922880 66380453919024 70285186502496 71121914913240 74678010658902 78094651669440 82975567398780 85346297895888 87856483128120 88507271892032 94829219884320 99570680878536 100407409289280 106682872369860 110634089865040 113795063861184 117141977504160 124463351098170 132760907838048 140570373004992 142243829826480 149356021317804 165951134797560 170692595791776 175712966256240 186695026647255 189658439768640 199141361757072 213365744739720 221268179730080 234283955008320 248926702196340 265521815676096 284487659652960 298712042635608 331902269595120 341385191583552 351425932512480 373390053294510 398282723514144 426731489479440 442536359460160 497853404392680 568975319305920 597424085271216 663804539190240 702851865024960 746780106589020 796565447028288 853462978958880 995706808785360 1194848170542432 1327609078380480 1493560213178040 1706925957917760 1991413617570720 2389696341084864 2987120426356080 3982827235141440 5974240852712160 11948481705424320
• Sum of all divisors σ(n): 51006963923343360
• Sum of proper divisors (its aliquot sum) s(n): 39058482217919040
• 11948481705424320 is an abundant number, because the sum of its proper divisors (39058482217919040) is greater than itself. Its abundance is 27110000512494720

Bases of 11948481705424320

• Binary: 101010011100110001010010101111101010000011010111000000₂
• Hexadecimal: 0x2A7314AFA835C0
• Base-36: 39NDSPUR5C0

Squares and roots of 11948481705424320

• 11948481705424320 squared (11948481705424320²) is 142766215064859666539311247462400
• 11948481705424320 cubed (11948481705424320³) is 1705839508855149674413682357311174623915245568000
• The square root of 11948481705424320 is 109309110.8070334639
• The cube root of 11948481705424320 is 228614.7467185423

Scales and comparisons

• 11,948,481,705,424,320 seconds is equal to 379,924,759 years, 7 weeks, 6 days, 7 hours, 12 minutes.
• To count from 1 to 11,948,481,705,424,320 would take you about one billion, one hundred thirty-nine million, seven hundred seventy-four thousand, two hundred seventy-seven 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 11948481705424320 cubic inches would be around 19051.2 feet tall.

Recreational maths with 11948481705424320

• 11948481705424320 backwards is 02342450718484911
• 11948481705424320 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 11948481705424320's digits is 63
• More coming soon!