12893735939056000

Names of 12893735939056000

• Cardinal: 12893735939056000 can be written as Twelve quadrillion, eight hundred ninety-three trillion, seven hundred thirty-five billion, nine hundred thirty-nine million, fifty-six thousand.

Scientific notation

• Scientific notation: 1.2893735939056 × 10¹⁶

Factors of 12893735939056000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 788

Divisors of 12893735939056000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 98 100 112 124 125 128 140 155 160 175 196 200 217 224 245 248 250 280 310 320 350 392 400 434 448 490 496 500 560 620 640 700 743 775 784 800 868 875 896 961 980 992 1000 1085 1120 1225 1240 1400 1486 1519 1550 1568 1600 1736 1750 1922 1960 1984 2000 2170 2240 2450 2480 2800 2972 3038 3100 3136 3200 3472 3500 3715 3844 3875 3920 3968 4000 4340 4480 4805 4900 4960 5201 5425 5600 5944 6076 6125 6200 6272 6727 6944 7000 7430 7595 7688 7750 7840 8000 8680 9610 9800 9920 10402 10850 11200 11888 12152 12250 12400 13454 13888 14000 14860 15190 15376 15500 15680 16000 17360 18575 19220 19600 19840 20804 21700 22400 23033 23776 24025 24304 24500 24800 26005 26908 27125 27776 28000 29720 29791 30380 30752 31000 31360 33635 34720 36407 37150 37975 38440 39200 41608 43400 46066 47089 47552 48050 48608 49000 49600 52010 53816 54250 56000 59440 59582 60760 61504 62000 67270 69440 72814 74300 75950 76880 78400 83216 86800 92132 92875 94178 95104 96100 97216 98000 99200 104020 107632 108500 112000 115165 118880 119164 120125 121520 123008 124000 130025 134540 138880 145628 148600 148955 151900 153760 156800 161231 166432 168175 173600 182035 184264 185750 188356 189875 192200 194432 196000 208040 208537 215264 217000 230330 235445 237760 238328 240250 243040 248000 260050 269080 291256 297200 297910 303800 307520 322462 332864 336350 347200 364070 368528 371500 376712 379750 384400 392000 416080 417074 430528 434000 460660 470890 475520 476656 480500 486080 496000 520100 538160 552049 575825 582512 594400 595820 607600 615040 644924 650125 665728 672700 694400 714023 728140 737056 743000 744775 753424 759500 768800 784000 806155 832160 834148 840875 861056 868000 910175 921320 941780 953312 961000 972160 1040200 1042685 1076320 1104098 1128617 1151650 1165024 1177225 1188800 1191640 1215200 1289848 1300250 1345400 1428046 1456280 1459759 1474112 1486000 1489550 1506848 1519000 1537600 1612310 1664320 1668296 1681750 1736000 1820350 1842640 1883560 1906624 1922000 2080400 2085370 2152640 2208196 2257234 2303300 2330048 2354450 2377600 2383280 2430400 2579696 2600500 2690800 2760245 2856092 2879125 2912560 2919518 2948224 2972000 2979100 3013696 3038000 3075200 3224620 3328640 3336592 3363500 3472000 3570115 3640700 3685280 3723875 3767120 3813248 3844000 3864343 4030775 4160800 4170740 4305280 4416392 4514468 4550875 4606600 4660096 4708900 4766560 4860800 4998161 5159392 5201000 5213425 5381600 5520490 5643085 5712184 5758250 5825120 5839036 5886125 5944000 5958200 6027392 6076000 6449240 6673184 6727000 7140230 7281400 7298795 7370560 7447750 7534240 7688000 7728686 8061550 8321600 8341480 8832784 9028936 9101750 9213200 9417800 9533120 9996322 10318784 10402000 10426850 10763200 11040980 11286170 11424368 11516500 11650240 11678072 11772250 11888000 11916400 12152000 12898480 13346368 13454000 13801225 14280460 14562800 14597590 14741120 14895500 15068480 15376000 15457372 16123100 16643200 16682960 17113519 17665568 17850575 18057872 18203500 18426400 18835600 19066240 19321715 19992644 20153875 20637568 20804000 20853700 21526400 22081960 22134713 22572340 22848736 23033000 23300480 23356144 23544500 23832800 24304000 24990805 25796960 26067125 26692736 26908000 27050401 27602450 28215425 28560920 29125600 29195180 29791000 30136960 30914744 32246200 33365920 34227038 34987127 35331136 35701150 36115744 36407000 36493975 36852800 37671200 38643430 39985288 40307750 41608000 41707400 44163920 44269426 45144680 45697472 46066000 46712288 47089000 47665600 49981610 51593920 52134250 53816000 54100802 55204900 56430850 57121840 58251200 58390360 59582000 61829488 64492400 66731840 68454076 69006125 69974254 70662272 71402300 72231488 72814000 72987950 73705600 75342400 77286860 79970576 80615500 83216000 83414800 85567595 88327840 88538852 89252875 90289360 91394944 92132000 93424576 94178000 95331200 96608575 99963220 103187840 104268500 107632000 108201604 110409800 110673565 112861700 114243680 116502400 116780720 119164000 119794633 123658976 124954025 128984800 133463680 135252005 136908152 138012250 139948508 141077125 142804600 144462976 145628000 145975900 150684800 154573720 154942991 159941152 161231000 166829600 171135190 174935635 176655680 177077704 178505750 180578720 182469875 184264000 186849152 188356000 193217150 199926440 208537000 216403208 220819600 221347130 225723400 228487360 233561440 238328000 239589266 247317952 249908050 257969600 270504010 273816304 276024500 279897016 282154250 285609200 291256000 291951800 309147440 309885982 319882304 322462000 333659200 342270380 349871270 353311360 354155408 357011500 361157440 364939750 368528000 376712000 386434300 399852880 417074000 427837975 432806416 441639200 442694260 451446800 456974720 467122880 476656000 479178532 483042875 494635904 499816100 515939200 530519089 541008020 547632608 552049000 553367825 559794032 564308500 571218400 582512000 583903600 598973165 618294880 619771964 624770125 639764608 644924000 667318400 676260025 684540760 699742540 708310816 714023000 722314880 729879500 753424000 772868600 774714955 799705760 834148000 838562431 855675950 865612832 874678175 883278400 885388520 902893600 934245760 958357064 966085750 999632200 1061038178 1082016040 1084600937 1095265216 1104098000 1106735650 1119588064 1128617000 1142436800 1167807200 1197946330 1236589760 1239543928 1249540250 1289848000 1352520050 1369081520 1399485080 1416621632 1428046000 1459759000 1545737200 1549429910 1599411520 1668296000 1677124862 1711351900 1731225664 1749356350 1766556800 1770777040 1805787200 1916714128 1932171500 1999264400 2122076356 2139189875 2164032080 2169201874 2190530432 2208196000 2213471300 2239176128 2257234000 2284873600 2335614400 2395892660 2473179520 2479087856 2499080500 2579696000 2652595445 2705040100 2738163040 2766839125 2798970160 2833243264 2856092000 2919518000 2994865825 3091474400 3098859820 3198823040 3336592000 3354249724 3381300125 3422703800 3462451328 3498712700 3541554080 3611574400 3713633623 3833428256 3864343000 3873574775 3998528800 4192812155 4244152712 4278379750 4328064160 4338403748 4373390875 4416392000 4426942600 4478352256 4514468000 4671228800 4791785320 4958175712 4998161000 5305190890 5410080200 5423004685 5476326080 5533678250 5597940320 5712184000 5839036000 5989731650 6182948800 6197719640 6708499448 6762600250 6845407600 6997425400 7083108160 7427267246 7666856512 7728686000 7747149550 7997057600 8385624310 8488305424 8556759500 8656128320 8676807496 8746781750 8832784000 8853885200 9028936000 9583570640 9916351424 9996322000 10610381780 10820160400 10846009370 10952652160 11067356500 11195880640 11424368000 11678072000 11979463300 12365897600 12395439280 13262977225 13416998896 13525200500 13690815200 13994850800 14166216320 14854534492 14974329125 15333713024 15457372000 15494299100 15994115200 16446091759 16771248620 16976610848 17113519000 17312256640 17353614992 17493563500 17707770400 18057872000 18568168115 19167141280 19367873875 19832702848 19992644000 20964060775 21220763560 21640320800 21692018740 22134713000 22391761280 23356144000 23958926600 24790878560 25995435361 26525954450 26833997792 27050401000 27115023425 27381630400 27989701600 29709068984 29948658250 30914744000 30988598200 32892183518 33542497240 33953221696 34227038000 34707229984 34987127000 35415540800 37136336230 38334282560 38735747750 39985288000 41928121550 42441527120 43280641600 43384037480 44269426000 47917853200 49581757120 51990870722 53051908900 53667995584 54100802000 54230046850 54763260800 55979403200 59418137968 59897316500 61829488000 61977196400 65784367036 66314886125 67084994480 67906443392 68454076000 69414459968 69974254000 70831081600 74272672460 76668565120 77471495500 79970576000 82230458795 83856243100 84883054240 86561283200 86768074960 88538852000 92840840575 95835706400 99163514240 103981741444 104820303875 106103817800 107335991168 108201604000 108460093700 111958806400 115122642313 118836275936 119794633000 123954392800 129977176805 131568734072 132629772250 134169988960 135575117125 136908152000 138828919936 139948508000 148545344920 154942991000 164460917590 167712486200 169766108480 173536149920 177077704000 185681681150 191671412800 207963482888 209640607750 212207635600 216403208000 216920187400 230245284626 237672551872 239589266000 247908785600 259954353610 263137468144 265259544500 268339977920 271150234250 273816304000 279897016000 297090689840 309885982000 328921835180 335424972400 339532216960 347072299840 354155408000 371363362300 383342825600 411152293975 415926965776 419281215500 424415271200 432806416000 433840374800 460490569252 464204202875 475345103744 479178532000 495817571200 519908707220 526274936288 530519089000 536679955840 542300468500 559794032000 575613211565 594181379680 619771964000 649885884025 657843670360 670849944800 694144599680 742726724600 805858496191 822304587950 831853931552 838562431000 848830542400 867680749600 920981138504 928408405750 958357064000 1039817414440 1052549872576 1061038178000 1084600937000 1151226423130 1188362759360 1239543928000 1299771768050 1315687340720 1341699889600 1485453449200 1611716992382 1644609175900 1663707863104 1677124862000 1697661084800 1735361499200 1841962277008 1856816811500 1916714128000 2055761469875 2079634828880 2105099745152 2122076356000 2169201874000 2302452846260 2376725518720 2479087856000 2599543536100 2631374681440 2683399779200 2878066057825 2970906898400 3223433984764 3249429420125 3289218351800 3327415726208 3354249724000 3470722998400 3683924554016 3713633623000 4029292480955 4111522939750 4159269657760 4244152712000 4338403748000 4604905692520 5199087072200 5262749362880 5756132115650 5941813796800 6446867969528 6498858840250 6578436703600 6708499448000 7367849108032 7427267246000 8058584961910 8223045879500 8318539315520 8488305424000 8676807496000 9209811385040 10398174144400 10525498725760 11512264231300 11883627593600 12893735939056 12997717680500 13156873407200 13416998896000 14390330289125 14735698216064 14854534492000 16117169923820 16446091759000 16637078631040 17353614992000 18419622770080 20146462404775 20796348288800 23024528462600 25787471878112 25995435361000 26313746814400 28780660578250 29709068984000 32234339847640 32892183518000 36839245540160 40292924809550 41592696577600 46049056925200 51574943756224 51990870722000 52627493628800 57561321156500 59418137968000 64468679695280 65784367036000 73678491080320 80585849619100 83185393155200 92098113850400 100732312023875 103149887512448 103981741444000 115122642313000 128937359390560 131568734072000 161171699238200 184196227700800 201464624047750 207963482888000 230245284626000 257874718781120 263137468144000 322343398476400 368392455401600 402929248095500 415926965776000 460490569252000 515749437562240 644686796952800 805858496191000 920981138504000 1289373593905600 1611716992382000 1841962277008000 2578747187811200 3223433984764000 6446867969528000 12893735939056000
• Sum of all divisors σ(n): 38585774309771520
• Sum of proper divisors (its aliquot sum) s(n): 25692038370715520
• 12893735939056000 is an abundant number, because the sum of its proper divisors (25692038370715520) is greater than itself. Its abundance is 12798302431659520

Bases of 12893735939056000

• Binary: 101101110011101100100011010110011110011010000110000000₂
• Hexadecimal: 0x2DCEC8D679A180
• Base-36: 3IYG4INPTOG

Squares and roots of 12893735939056000

• 12893735939056000 squared (12893735939056000²) is 166248426466104310146171136000000
• 12893735939056000 cubed (12893735939056000³) is 2143563311137517820936590960855842287616000000000
• The square root of 12893735939056000 is 113550587.5768857481
• The cube root of 12893735939056000 is 234491.0423975695

Scales and comparisons

• 12,893,735,939,056,000 seconds is equal to 409,980,919 years, 47 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 12,893,735,939,056,000 would take you about one billion, two hundred twenty-nine million, nine hundred forty-two thousand, seven hundred fifty-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 12893735939056000 cubic inches would be around 19540.9 feet tall.

Recreational maths with 12893735939056000

• 12893735939056000 backwards is 00065093953739821
• 12893735939056000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12893735939056000's digits is 70
• More coming soon!