12148093281091200

Names of 12148093281091200

• Cardinal: 12148093281091200 can be written as Twelve quadrillion, one hundred forty-eight trillion, ninety-three billion, two hundred eighty-one million, ninety-one thousand, two hundred.

Scientific notation

• Scientific notation: 1.21480932810912 × 10¹⁶

Factors of 12148093281091200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 67912

Divisors of 12148093281091200

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 128 150 159 160 192 200 212 240 265 300 318 320 379 384 400 424 480 530 600 636 640 758 795 800 848 947 960 1060 1137 1200 1272 1325 1516 1590 1600 1696 1894 1895 1920 2120 2274 2400 2544 2650 2841 3032 3180 3200 3392 3788 3790 3975 4240 4548 4735 4800 5088 5300 5682 5685 6064 6360 6784 7576 7580 7950 8480 9096 9470 9475 9600 10176 10600 11364 11370 12128 12720 14205 15152 15160 15900 16960 18192 18940 18950 20087 20352 21200 22728 22740 23675 24256 25440 28410 28425 30304 30320 31800 33920 36384 37880 37900 40174 42400 45456 45480 47350 48512 50191 50880 56820 56850 60261 60608 60640 63600 66523 71025 72768 75760 75800 80348 84800 90912 90960 94700 100382 100435 101760 113640 113700 120522 121216 121280 127200 133046 142050 145536 150573 151520 151600 160696 169600 181824 181920 189400 199569 200764 200870 227280 227400 241044 242560 250955 254400 266092 284100 301146 301305 303040 303200 321392 332615 358913 363648 363840 378800 399138 401528 401740 454560 454800 482088 501910 502175 508800 532184 568200 602292 602610 606080 606400 642784 665230 717826 727680 752865 757600 798276 803056 803480 909120 909600 964176 997845 1003820 1004350 1064368 1076739 1136400 1204584 1205220 1212800 1254775 1285568 1330460 1435652 1505730 1506525 1515200 1596552 1606112 1606960 1663075 1794565 1818240 1819200 1928352 1995690 2007640 2008700 2128736 2153478 2272800 2409168 2410440 2509550 2571136 2660920 2871304 3011460 3013050 3030400 3193104 3212224 3213920 3326150 3525719 3589130 3638400 3764325 3856704 3991380 4015280 4017400 4257472 4306956 4545600 4818336 4820880 4989225 5019100 5321840 5383695 5742608 6022920 6026100 6386208 6424448 6427840 6652300 7051438 7178260 7528650 7713408 7982760 8030560 8034800 8514944 8613912 8972825 9091200 9636672 9641760 9978450 10038200 10577157 10643680 10767390 11485216 12045840 12052200 12772416 12855680 13304600 14102876 14356520 15057300 15965520 16061120 16069600 17227824 17628595 17945650 19022389 19273344 19283520 19956900 20076400 21154314 21287360 21534780 22970432 24091680 24104400 25212217 25544832 26609200 26918475 28205752 28713040 30114600 31931040 32122240 32139200 34455648 35257190 35891300 38044778 38567040 39913800 40152800 42308628 42574720 43069560 45940864 48183360 48208800 50424434 52885785 53218400 53836950 56411504 57067167 57426080 60229200 62997281 63862080 64278400 68911296 70514380 71782600 75636651 76089556 79827600 80305600 84617256 86139120 88142975 95111945 96366720 96417600 100848868 105771570 106436800 107673900 112823008 114134334 114852160 120458400 125994562 126061085 127724160 137822592 141028760 143565200 151273302 152179112 159655200 160611200 169234512 172278240 176285950 188991843 190223890 192835200 201697736 211543140 212873600 215347800 225646016 228268668 229704320 240916800 251989124 252122170 264428925 282057520 285335835 287130400 302546604 304358224 314986405 319310400 338469024 344556480 352571900 377983686 378183255 380447780 403395472 423086280 430695600 451292032 456537336 475559725 481833600 503978248 504244340 528857850 564115040 570671670 574260800 605093208 608716448 629972810 630305425 638620800 676938048 689112960 705143800 755967372 756366510 760895560 806790944 846172560 861391200 913074672 944959215 951119450 1007956496 1008488680 1057715700 1128230080 1141343340 1148521600 1210186416 1217432896 1259945620 1260610850 1336247501 1353876096 1410287600 1426679175 1511934744 1512733020 1521791120 1574932025 1613581888 1692345120 1722782400 1826149344 1889918430 1890916275 1902238900 2015912992 2016977360 2115431400 2256460160 2282686680 2420372832 2434865792 2519891240 2521221700 2672495002 2820575200 2853358350 3023869488 3025466040 3043582240 3149864050 3227163776 3338855893 3384690240 3445564800 3652298688 3779836860 3781832550 3804477800 4008742503 4031825984 4033954720 4230862800 4565373360 4724796075 4840745664 5039782480 5042443400 5344990004 5641150400 5706716700 6047738976 6050932080 6087164480 6299728100 6677711786 6681237505 6769380480 7304597376 7559673720 7563665100 7608955600 8017485006 8063651968 8067909440 8461725600 9130746720 9449592150 9681491328 10016567679 10079564960 10084886800 10689980008 11282300800 11413433400 12095477952 12101864160 12174328960 12599456200 13355423572 13362475010 15119347440 15127330200 15217911200 16034970012 16135818880 16694279465 16923451200 18261493440 18899184300 20033135358 20043712515 20159129920 20169773600 21379960016 22826866800 23875969499 24190955904 24203728320 25198912400 26710847144 26724950020 30238694880 30254660400 30435822400 32069940024 33388558930 33406187525 33846902400 36522986880 37798368600 40066270716 40087425030 40318259840 40339547200 42759920032 45653733600 47751938998 48407456640 50082838395 50397824800 53421694288 53449900040 60477389760 60509320800 60871644800 64139880048 66777117860 66812375050 71627908497 75596737200 80132541432 80174850060 80679094400 83471397325 85519840064 91307467200 95503877996 100165676790 100218562575 100795649600 106843388576 106899800080 119379847495 120954779520 121018641600 128279760096 133554235720 133624750100 143255816994 151193474400 160265082864 160349700120 166942794650 171039680128 182614934400 191007755992 200331353580 200437125150 201591299200 213686777152 213799600160 238759694990 242037283200 250414191975 256559520192 267108471440 267249500200 286511633988 302386948800 320530165728 320699400240 333885589300 358139542485 382015511984 400662707160 400874250300 427373554304 427599200320 477519389980 500828383950 513119040384 534216942880 534499000400 573023267976 596899237475 604773897600 641060331456 641398800480 667771178600 716279084970 764031023968 801325414320 801748500600 855198400640 955038779960 1001656767900 1068433885760 1068998000800 1146046535952 1193798474950 1265426383447 1282120662912 1282797600960 1335542357200 1432558169940 1528062047936 1602650828640 1603497001200 1790697712425 1910077559920 2003313535800 2136867771520 2137996001600 2292093071904 2387596949900 2530852766894 2565595201920 2671084714400 2865116339880 3056124095872 3205301657280 3206994002400 3581395424850 3796279150341 3820155119840 4006627071600 4275992003200 4584186143808 4775193899800 5061705533788 5342169428800 5730232679760 6327131917235 6410603314560 6413988004800 7162790849700 7592558300682 7640310239680 8013254143200 9168372287616 9550387799600 10123411067576 10684338857600 11460465359520 12654263834470 12827976009600 14325581699400 15185116601364 15280620479360 16026508286400 18981395751705 19100775599200 20246822135152 22920930719040 25308527668940 28651163398800 30370233202728 31635659586175 32053016572800 37962791503410 38201551198400 40493644270304 45841861438080 50617055337880 57302326797600 60740466405456 63271319172350 75925583006820 76403102396800 80987288540608 94906978758525 101234110675760 114604653595200 121480932810912 126542638344700 151851166013640 161974577081216 189813957517050 202468221351520 229209307190400 242961865621824 253085276689400 303702332027280 379627915034100 404936442703040 485923731243648 506170553378800 607404664054560 759255830068200 809872885406080 1012341106757600 1214809328109120 1518511660136400 2024682213515200 2429618656218240 3037023320272800 4049364427030400 6074046640545600 12148093281091200
• Sum of all divisors σ(n): 40919085043084800
• Sum of proper divisors (its aliquot sum) s(n): 28770991761993600
• 12148093281091200 is an abundant number, because the sum of its proper divisors (28770991761993600) is greater than itself. Its abundance is 16622898480902400

Bases of 12148093281091200

• Binary: 101011001010001010000001100000101101111011111010000000₂
• Hexadecimal: 0x2B28A060B7BE80
• Base-36: 3BM510D362O

Squares and roots of 12148093281091200

• 12148093281091200 squared (12148093281091200²) is 147576170366093157175462717440000
• 12148093281091200 cubed (12148093281091200³) is 1792769083673506539640703271733267720470528000000
• The square root of 12148093281091200 is 110218389.0332788343
• The cube root of 12148093281091200 is 229880.8032725989

Scales and comparisons

• 12,148,093,281,091,200 seconds is equal to 386,271,789 years, 42 weeks, 4 days, 2 hours, 40 minutes.
• To count from 1 to 12,148,093,281,091,200 would take you about one billion, one hundred fifty-eight million, eight hundred fifteen thousand, three hundred sixty-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 12148093281091200 cubic inches would be around 19156.7 feet tall.

Recreational maths with 12148093281091200

• 12148093281091200 backwards is 00219018239084121
• The number of decimal digits it has is: 17
• The sum of 12148093281091200's digits is 51
• More coming soon!