34459693368078960

Names of 34459693368078960

• Cardinal: 34459693368078960 can be written as Thirty-four quadrillion, four hundred fifty-nine trillion, six hundred ninety-three billion, three hundred sixty-eight million, seventy-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.445969336807896 × 10¹⁶

Factors of 34459693368078960

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 5489

Divisors of 34459693368078960

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2187 2430 2916 3240 3645 3888 4374 4860 5479 5832 6480 6561 7290 8748 9720 10935 10958 11664 13122 14580 16437 17496 19440 19683 21870 21916 26244 27395 29160 32805 32874 34992 39366 43740 43832 49311 52488 54790 58320 59049 65610 65748 78732 82185 87480 87664 98415 98622 104976 109580 118098 131220 131496 147933 157464 164370 174960 177147 196830 197244 219160 236196 246555 262440 262992 295245 295866 314928 328740 354294 393660 394488 438320 443799 472392 493110 524880 531441 590490 591732 657480 708588 739665 787320 788976 885735 887598 944784 986220 1062882 1180980 1183464 1314960 1331397 1417176 1479330 1574640 1594323 1771470 1775196 1972440 2125764 2218995 2361960 2366928 2657205 2662794 2834352 2958660 3188646 3542940 3550392 3944880 3994191 4251528 4437990 4723920 4782969 5314410 5325588 5917320 6377292 6656985 7085880 7100784 7971615 7988382 8503056 8875980 9565938 10628820 10651176 11834640 11982573 12754584 13313970 14171760 14348907 15943230 15976764 17751960 19131876 19970955 21257640 21302352 23914845 23965146 25509168 26627940 28697814 30019441 31886460 31953528 35503920 35947719 38263752 39941910 42515280 47829690 47930292 53255880 57395628 59912865 60038882 63772920 63907056 71744535 71895438 76527504 79883820 90058323 95659380 95860584 106511760 107843157 114791256 119825730 120077764 127545840 143489070 143790876 150097205 159767640 179738595 180116646 191318760 191721168 215686314 229582512 239651460 240155528 270174969 286978140 287581752 300194410 319535280 323529471 359477190 360233292 382637520 431372628 450291615 479302920 480311056 539215785 540349938 573956280 575163504 600388820 647058942 718954380 720466584 810524907 862745256 900583230 958605840 970588413 1078431570 1080699876 1147912560 1200777640 1294117884 1350874845 1437908760 1440933168 1617647355 1621049814 1725490512 1801166460 1941176826 2156863140 2161399752 2401555280 2431574721 2588235768 2701749690 2875817520 2911765239 3235294710 3242099628 3602332920 3882353652 4052624535 4313726280 4322799504 4852942065 4863149442 5176471536 5403499380 5823530478 6470589420 6484199256 7204665840 7294724163 7764707304 8105249070 8627452560 8735295717 9705884130 9726298884 10806998760 11647060956 12157873605 12941178840 12968398512 14558826195 14589448326 15529414608 16210498140 17470591434 19411768260 19452597768 21613997520 21884172489 23294121912 24315747210 25882357680 26205887151 29117652390 29178896652 32420996280 34941182868 36473620815 38823536520 38905195536 43676478585 43768344978 46588243824 48631494420 52411774302 58235304780 58357793304 64841992560 65652517467 69882365736 72947241630 77647073040 78617661453 87352957170 87536689956 97262988840 104823548604 109420862445 116470609560 116715586608 131029435755 131305034934 139764731472 145894483260 157235322906 174705914340 175073379912 194525977680 196957552401 209647097208 218841724890 232941219120 262058871510 262610069868 291788966520 314470645812 328262587335 349411828680 350146759824 393088307265 393915104802 419294194416 437683449780 524117743020 525220139736 583577933040 590872657203 628941291624 656525174670 698823657360 786176614530 787830209604 875366899560 984787762005 1048235486040 1050440279472 1181745314406 1257882583248 1313050349340 1572353229060 1575660419208 1750733799120 1772617971609 1969575524010 2096470972080 2363490628812 2626100698680 2954363286015 3144706458120 3151320838416 3545235943218 3939151048020 4726981257624 5252201397360 5317853914827 5908726572030 6289412916240 7090471886436 7878302096040 8863089858045 9453962515248 10635707829654 11817453144060 14180943772872 15756604192080 15953561744481 17726179716090 21271415659308 23634906288120 26589269574135 28361887545744 31907123488962 35452359432180 42542831318616 47269812576240 47860685233443 53178539148270 63814246977924 70904718864360 79767808722405 85085662637232 95721370466886 106357078296540 127628493955848 141809437728720 143582055700329 159535617444810 191442740933772 212714156593080 239303426167215 255256987911696 287164111400658 319071234889620 382885481867544 425428313186160 430746167100987 478606852334430 574328222801316 638142469779240 717910278501645 765770963735088 861492334201974 957213704668860 1148656445602632 1276284939558480 1435820557003290 1722984668403948 1914427409337720 2153730835504935 2297312891205264 2871641114006580 3445969336807896 3828854818675440 4307461671009870 5743282228013160 6891938673615792 8614923342019740 11486564456026320 17229846684039480 34459693368078960
• Sum of all divisors σ(n): 120200116159748160
• Sum of proper divisors (its aliquot sum) s(n): 85740422791669200
• 34459693368078960 is an abundant number, because the sum of its proper divisors (85740422791669200) is greater than itself. Its abundance is 51280729423590240

Bases of 34459693368078960

• Binary: 1111010011011001110100010010110010001011111001001110000₂
• Hexadecimal: 0x7A6CE89645F270
• Base-36: 9FAXWL8FR00

Squares and roots of 34459693368078960

• 34459693368078960 squared (34459693368078960²) is 1187470467022025058200680794681600
• 34459693368078960 cubed (34459693368078960³) is 40919868177228502276083873092170026947176859136000
• The square root of 34459693368078960 is 185633222.6948585839
• The cube root of 34459693368078960 is 325414.6765728725

Scales and comparisons

• 34,459,693,368,078,960 seconds is equal to 1,095,711,658 years, 14 weeks, 2 days, 36 minutes.
• To count from 1 to 34,459,693,368,078,960 would take you about three billion, two hundred eighty-seven million, one hundred thirty-four thousand, nine hundred seventy-four 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 34459693368078960 cubic inches would be around 27117.9 feet tall.

Recreational maths with 34459693368078960

• 34459693368078960 backwards is 06987086339695443
• 34459693368078960 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34459693368078960's digits is 90
• More coming soon!