768093883025804400

Names of 768093883025804400

• Cardinal: 768093883025804400 can be written as Seven hundred sixty-eight quadrillion, ninety-three trillion, eight hundred eighty-three billion, twenty-five million, eight hundred four thousand, four hundred.

Scientific notation

• Scientific notation: 7.680938830258044 × 10¹⁷

Factors of 768093883025804400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 539784

Divisors of 768093883025804400

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 169 195 200 208 240 260 300 312 325 338 390 400 507 520 600 624 650 676 780 845 975 1014 1040 1200 1300 1352 1560 1690 1950 2028 2197 2535 2600 2704 3120 3380 3900 4056 4225 4394 5070 5200 6591 6760 7800 8112 8450 8788 10140 10985 12675 13182 13520 15600 16900 17576 20280 21970 25350 26364 32955 33800 35152 40560 43940 50700 52728 54925 65910 67600 87880 101400 105456 109850 131820 164775 175760 202800 219700 263640 329550 439400 527280 539761 659100 878800 1079522 1318200 1619283 2159044 2636400 2698805 3238566 4318088 5397610 6477132 7016893 8096415 8636176 10795220 12954264 13494025 14033786 16192830 21050679 21590440 25908528 26988050 28067572 32385660 35084465 40482075 42101358 43180880 53976100 56135144 64771320 70168930 80964150 84202716 91219609 105253395 107952200 112270288 129542640 140337860 161928300 168405432 175422325 182439218 210506790 215904400 273658827 280675720 323856600 336810864 350844650 364878436 421013580 456098045 526266975 547317654 561351440 647713200 701689300 729756872 842027160 912196090 1052533950 1094635308 1185854917 1368294135 1403378600 1459513744 1684054320 1824392180 2105067900 2189270616 2280490225 2371709834 2736588270 2806757200 3557564751 3648784360 4210135800 4378541232 4560980450 4743419668 5473176540 5929274585 6841470675 7115129502 7297568720 8420271600 9121960900 9486839336 10946353080 11858549170 13682941350 14230259004 17787823755 18243921800 18973678672 21892706160 23717098340 27365882700 28460518008 29646372925 35575647510 36487843600 47434196680 54731765400 56921036016 59292745850 71151295020 88939118775 94868393360 109463530800 118585491700 142302590040 177878237550 237170983400 284605180080 291341937121 355756475100 474341966800 582683874242 711512950200 874025811363 1165367748484 1423025900400 1456709685605 1748051622726 2330735496968 2913419371210 3496103245452 3787445182573 4370129056815 4661470993936 5826838742420 6992206490904 7283548428025 7574890365146 8740258113630 11362335547719 11653677484840 13984412981808 14567096856050 15149780730292 17480516227260 18937225912865 21850645284075 22724671095438 23307354969680 29134193712100 30299561460584 34961032454520 37874451825730 43701290568150 45449342190876 49236787373449 56811677738595 58268387424200 60599122921168 69922064909040 75748903651460 87402581136300 90898684381752 94686129564325 98473574746898 113623355477190 116536774848400 147710362120347 151497807302920 174805162272600 181797368763504 189372259128650 196947149493796 227246710954380 246183936867245 284058388692975 295420724240694 302995614605840 349610324545200 378744518257300 393894298987592 454493421908760 492367873734490 568116777385950 590841448481388 640078235854837 738551810601735 757489036514600 787788597975184 908986843817520 984735747468980 1136233554771900 1181682896962776 1230919684336225 1280156471709674 1477103621203470 1514978073029200 1920234707564511 1969471494937960 2272467109543800 2363365793925552 2461839368672450 2560312943419348 2954207242406940 3200391179274185 3692759053008675 3840469415129022 3938942989875920 4544934219087600 4923678737344900 5120625886838696 5908414484813880 6400782358548370 7385518106017350 7680938830258044 9601173537822555 9847357474689800 10241251773677392 11816828969627760 12801564717096740 14771036212034700 15361877660516088 16001955896370925 19202347075645110 19694714949379600 25603129434193480 29542072424069400 30723755321032176 32003911792741850 38404694151290220 48005867689112775 51206258868386960 59084144848138800 64007823585483700 76809388302580440 96011735378225550 128015647170967400 153618776605160880 192023470756451100 256031294341934800 384046941512902200 768093883025804400
• Sum of all divisors σ(n): 2665410745109039760
• Sum of proper divisors (its aliquot sum) s(n): 1897316862083235360
• 768093883025804400 is an abundant number, because the sum of its proper divisors (1897316862083235360) is greater than itself. Its abundance is 1129222979057430960

Bases of 768093883025804400

• Binary: 101010101000110100010101000100101011111001110100110001110000₂
• Hexadecimal: 0xAA8D1512BE74C70
• Base-36: 5U2YK2LX6Z5C

Squares and roots of 768093883025804400

• 768093883025804400 squared (768093883025804400²) is 589968213141658092589636267059360000
• 768093883025804400 cubed (768093883025804400³) is 453150975693771569154739848007668823984586549184000000
• The square root of 768093883025804400 is 876409654.7995146317
• The cube root of 768093883025804400 is 915808.7082294469

Scales and comparisons

• 768,093,883,025,804,400 seconds is equal to 24,423,009,609 years, 43 weeks, 6 days, 20 hours, 20 minutes.
• To count from 1 to 768,093,883,025,804,400 would take you about seventy-three billion, two hundred sixty-nine million, twenty-eight thousand, eight 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 768093883025804400 cubic inches would be around 76317.4 feet tall.

Recreational maths with 768093883025804400

• 768093883025804400 backwards is 004408520388390867
• 768093883025804400 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 768093883025804400's digits is 75
• More coming soon!