14048796612729600

Names of 14048796612729600

• Cardinal: 14048796612729600 can be written as Fourteen quadrillion, forty-eight trillion, seven hundred ninety-six billion, six hundred twelve million, seven hundred twenty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.40487966127296 × 10¹⁶

Factors of 14048796612729600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 4809864

Divisors of 14048796612729600

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 64 68 72 75 76 80 85 90 95 96 100 102 114 120 128 136 144 150 152 153 157 160 170 171 180 190 192 200 204 225 228 240 255 256 272 285 288 300 304 306 314 320 323 340 342 360 380 384 400 408 425 450 456 471 475 480 510 544 570 576 600 608 612 628 640 646 680 684 720 760 765 768 785 800 816 850 855 900 912 942 950 960 969 1020 1088 1140 1152 1200 1216 1224 1256 1275 1280 1292 1360 1368 1413 1425 1440 1520 1530 1570 1600 1615 1632 1700 1710 1800 1824 1884 1900 1920 1938 2040 2176 2280 2304 2355 2400 2432 2448 2512 2550 2584 2669 2720 2736 2826 2850 2880 2907 2983 3040 3060 3140 3200 3230 3264 3400 3420 3600 3648 3768 3800 3825 3840 3876 3925 4080 4275 4352 4560 4710 4800 4845 4864 4896 5024 5100 5168 5338 5440 5472 5652 5700 5760 5814 5966 6080 6120 6280 6400 6460 6528 6800 6840 7065 7200 7296 7536 7600 7650 7752 7850 8007 8075 8160 8550 8949 9120 9420 9600 9690 9792 10048 10200 10336 10676 10880 10944 11304 11400 11520 11628 11775 11932 12160 12240 12560 12920 13056 13345 13600 13680 14130 14400 14535 14592 14915 15072 15200 15300 15504 15700 16014 16150 16320 17100 17898 18240 18840 19200 19380 19584 20096 20400 20672 21352 21760 21888 22608 22800 23256 23550 23864 24021 24225 24320 24480 25120 25840 26690 26847 27200 27360 28260 28800 29070 29830 30144 30400 30600 31008 31400 32028 32300 32640 34200 35325 35796 36480 37680 38760 39168 40035 40192 40800 41344 42704 43776 44745 45216 45600 46512 47100 47728 48042 48450 48960 50240 50711 51680 53380 53694 54400 54720 56520 57600 58140 59660 60288 60800 61200 62016 62800 64056 64600 65280 66725 68400 70650 71592 72675 72960 74575 75360 77520 80070 81600 82688 85408 89490 90432 91200 93024 94200 95456 96084 96900 97920 100480 101422 103360 106760 107388 108800 109440 113040 116280 119320 120105 120576 121600 122400 124032 125600 128112 129200 133450 134235 136800 141300 143184 145350 149150 150720 152133 155040 160140 163200 170816 178980 180864 182400 186048 188400 190912 192168 193800 195840 200175 200960 202844 206720 213520 214776 218880 223725 226080 232560 238640 240210 244800 248064 251200 253555 256224 258400 266900 268470 273600 282600 286368 290700 298300 301440 304266 310080 320280 326400 341632 357960 361728 364800 372096 376800 381824 384336 387600 400350 405688 413440 427040 429552 447450 452160 456399 465120 477280 480420 489600 502400 507110 512448 516800 533800 536940 547200 565200 572736 581400 596600 600525 602880 608532 620160 640560 671175 683264 715920 744192 753600 760665 763648 768672 775200 800700 811376 854080 859104 894900 904320 912798 930240 954560 960840 979200 1004800 1014220 1024896 1033600 1067600 1073880 1094400 1130400 1145472 1162800 1193200 1201050 1217064 1240320 1267775 1281120 1342350 1431840 1507200 1521330 1537344 1550400 1601400 1622752 1708160 1718208 1789800 1808640 1825596 1860480 1909120 1921680 2028440 2049792 2067200 2135200 2147760 2260800 2281995 2290944 2325600 2386400 2402100 2434128 2535550 2562240 2684700 2863680 3014400 3042660 3074688 3100800 3202800 3245504 3416320 3436416 3579600 3651192 3720960 3803325 3818240 3843360 4056880 4270400 4295520 4521600 4563990 4651200 4772800 4804200 4809661 4868256 5071100 5124480 5369400 5727360 6085320 6149376 6201600 6405600 6491008 6872832 7159200 7302384 7606650 7686720 8113760 8540800 8591040 9043200 9127980 9302400 9545600 9608400 9619322 9736512 10142200 10248960 10738800 11409975 11454720 12170640 12811200 12982016 14318400 14428983 14604768 15213300 15373440 16227520 17081600 17182080 18255960 18604800 19091200 19216800 19238644 19473024 20284400 21477600 22819950 24048305 24341280 25622400 28636800 28857966 29209536 30426600 30746880 32455040 34364160 36511920 38433600 38477288 38946048 40568800 42955200 43286949 45639900 48096610 48682560 51244800 57273600 57715932 58419072 60853200 64910080 72144915 73023840 76867200 76954576 81137600 81764237 85910400 86573898 91279800 91383559 96193220 97365120 115431864 116838144 120241525 121706400 144289830 146047680 153734400 153909152 162275200 163528474 171820800 173147796 182559600 182767118 192386440 194730240 216434745 230863728 240483050 243412800 245292711 274150677 288579660 292095360 307818304 324550400 327056948 346295592 360724575 365119200 365534236 384772880 408821185 432869490 456917795 461727456 480966100 486825600 490585422 548301354 577159320 584190720 615636608 654113896 692591184 721449150 730238400 731068472 735878133 755116777 769545760 817642370 822452031 865738980 913835590 923454912 961932200 973651200 981170844 1082173725 1096602708 1154318640 1226463555 1231273216 1308227792 1370753385 1385182368 1442898300 1460476800 1462136944 1471756266 1510233554 1539091520 1553520503 1635284740 1644904062 1731477960 1827671180 1846909824 1923864400 1962341688 2044105925 2164347450 2193205416 2265350331 2284588975 2308637280 2452927110 2616455584 2741506770 2770364736 2885796600 2920953600 2924273888 2943512532 3020467108 3078183040 3107041006 3270569480 3289808124 3462955920 3655342360 3679390665 3693819648 3775583885 3847728800 3924683376 4088211850 4112260155 4328694900 4386410832 4530700662 4569177950 4617274560 4660561509 4905854220 5232911168 5483013540 5540729472 5771593200 5848547776 5887025064 6040934216 6132317775 6156366080 6214082012 6541138960 6579616248 6796050993 6853766925 6925911840 7310684720 7358781330 7551167770 7695457600 7767602515 7849366752 8176423700 8224520310 8657389800 8772821664 9061401324 9138355900 9234549120 9321123018 9811708440 10465822336 10966027080 11081458944 11326751655 11543186400 11697095552 11774050128 12081868432 12264635550 12428164024 12836985209 13082277920 13159232496 13592101986 13707533850 13851823680 13981684527 14347218763 14621369440 14717562660 15102335540 15390915200 15535205030 15698733504 16352847400 16449040620 17314779600 17545643328 18122802648 18276711800 18396953325 18469098240 18642246036 18877919425 19623416880 20561300775 20931644672 21932054160 22653503310 23086372800 23302807545 23394191104 23548100256 24163736864 24529271100 24856328048 25673970418 26164555840 26318464992 27184203972 27415067700 27703647360 27963369054 28694437526 29242738880 29435125320 30204671080 30781830400 31070410060 31397467008 32705694800 32898081240 33980254965 34629559200 35091286656 36245605296 36553423600 36793906650 37284492072 37755838850 38510955627 38838012575 39246833760 41122601550 43041656289 43864108320 45307006620 46172745600 46605615090 47096200512 48327473728 49058542200 49712656096 51347940836 52329111680 52636929984 54368407944 54830135400 55407294720 55926738108 56633758275 57388875052 58485477760 58870250640 60409342160 62140820120 62794934016 64184926045 65411389600 65796162480 67960509930 69259118400 69908422635 70182573312 71736093815 72491210592 73106847200 73587813300 74568984144 75511677700 77021911254 77676025150 78493667520 82245203100 86083312578 87728216640 90614013240 92345491200 93211230180 94192401024 96654947456 98117084400 99425312192 102695881672 104658223360 105273859968 108736815888 109660270800 111853476216 113267516550 114777750104 115532866881 116514037725 116970955520 117740501280 120818684320 124281640240 128369852090 129124968867 130822779200 131592324960 135921019860 138518236800 139816845270 143472187630 144982421184 146213694400 147175626600 149137968288 151023355400 154043822508 155352050300 156987335040 164490406200 169901274825 172166625156 175456433280 181228026480 186422460360 188384802048 192554778135 193309894912 196234168800 198850624384 205391763344 210547719936 215208281445 217473631776 219320541600 223706952432 226535033100 229555500208 231065733762 233028075450 235481002560 241637368640 243902718971 248563280480 256739704180 258249937734 261645558400 263184649920 271842039720 277036473600 279633690540 286944375260 289964842368 292427388800 294351253200 298275936576 302046710800 308087645016 310704100600 313974670080 320924630225 328980812400 339802549650 344333250312 349542113175 350912866560 358680469075 362456052960 372844920720 385109556270 392468337600 397701248768 410783526688 430416562890 434947263552 438641083200 447413904864 453070066200 459111000416 462131467524 466056150900 470962005120 483274737280 487805437942 497126560960 513479408360 516499875468 523291116800 526369299840 543684079440 559267381080 573888750520 577664334405 579929684736 584854777600 588702506400 596551873152 604093421600 616175290032 621408201200 641849260450 645624844335 657961624800 679605099300 688666500624 699084226350 717360938150 724912105920 731708156913 745689841440 770219112540 784936675200 821567053376 860833125780 869894527104 877282166400 894827809728 906140132400 918222000832 924262935048 932112301800 941924010240 962773890675 966549474560 975610875884 994253121920 1026958816720 1032999750936 1052738599680 1076041407225 1087368158880 1118534762160 1147777501040 1155328668810 1177405012800 1193103746304 1208186843200 1219513594855 1232350580064 1242816402400 1283698520900 1291249688670 1315923249600 1359210198600 1377333001248 1398168452700 1434721876300 1449824211840 1463416313826 1491379682880 1540438225080 1569873350400 1643134106752 1721666251560 1739789054208 1754564332800 1789655619456 1812280264800 1836444001664 1848525870096 1864224603600 1925547781350 1951221751768 1988506243840 2053917633440 2065999501872 2152082814450 2174736317760 2195124470739 2237069524320 2295555002080 2310657337620 2354810025600 2416373686400 2439027189710 2464701160128 2485632804800 2567397041800 2582499377340 2631846499200 2718420397200 2754666002496 2796336905400 2869443752600 2888321672025 2899648423680 2926832627652 2982759365760 3080876450160 3228124221675 3286268213504 3443332503120 3579311238912 3624560529600 3658540784565 3672888003328 3697051740192 3728449207200 3851095562700 3902443503536 4107835266880 4131999003744 4304165628900 4349472635520 4390248941478 4474139048640 4591110004160 4621314675240 4709620051200 4832747372800 4878054379420 4929402320256 4971265609600 5134794083600 5164998754680 5263692998400 5436840794400 5509332004992 5592673810800 5738887505200 5776643344050 5853665255304 5965518731520 6097567974275 6161752900320 6456248443350 6886665006240 7249121059200 7317081569130 7394103480384 7456898414400 7702191125400 7804887007072 8215670533760 8263998007488 8608331257800 8698945271040 8780497882956 8948278097280 9182220008320 9242629350480 9756108758840 9858804640512 9942531219200 10269588167200 10329997509360 10873681588800 10975622353695 11018664009984 11185347621600 11477775010400 11553286688100 11707330510608 12195135948550 12323505800640 12912496886700 13773330012480 14498242118400 14634163138260 14788206960768 14913796828800 15404382250800 15609774014144 16431341067520 16527996014976 17216662515600 17560995765912 17896556194560 18292703922825 18364440016640 18485258700960 19512217517680 20539176334400 20659995018720 21747363177600 21951244707390 22370695243200 22955550020800 23106573376200 23414661021216 24390271897100 24647011601280 25824993773400 27546660024960 29268326276520 29576413921536 29827593657600 30808764501600 31219548028288 33055992029952 34433325031200 35121991531824 36585407845650 36970517401920 39024435035360 41078352668800 41319990037440 43494726355200 43902489414780 44741390486400 45911100041600 46213146752400 46829322042432 48780543794200 49294023202560 51649987546800 54878111768475 55093320049920 58536652553040 61617529003200 62439096056576 68866650062400 70243983063648 73170815691300 73941034803840 78048870070720 82156705337600 82639980074880 87804978829560 89482780972800 91822200083200 92426293504800 93658644084864 97561087588400 103299975093600 109756223536950 117073305106080 123235058006400 137733300124800 140487966127296 146341631382600 147882069607680 156097740141440 165279960149760 175609957659120 184852587009600 187317288169728 195122175176800 206599950187200 219512447073900 234146610212160 246470116012800 275466600249600 280975932254592 292683262765200 312195480282880 351219915318240 369705174019200 390244350353600 413199900374400 439024894147800 468293220424320 561951864509184 585366525530400 702439830636480 739410348038400 780488700707200 826399800748800 878049788295600 936586440848640 1170733051060800 1404879661272960 1560977401414400 1756099576591200 2341466102121600 2809759322545920 3512199153182400 4682932204243200 7024398306364800 14048796612729600
• Sum of all divisors σ(n): 56337826929864480
• Sum of proper divisors (its aliquot sum) s(n): 42289030317134880
• 14048796612729600 is an abundant number, because the sum of its proper divisors (42289030317134880) is greater than itself. Its abundance is 28240233704405280

Bases of 14048796612729600

• Binary: 110001111010010100111001011011100111111001101100000000₂
• Hexadecimal: 0x31E94E5B9F9B00
• Base-36: 3UBVS2E1FK0

Squares and roots of 14048796612729600

• 14048796612729600 squared (14048796612729600²) is 197368686265842682560762716160000
• 14048796612729600 cubed (14048796612729600³) is 2772792531070461803584193552120858127630336000000
• The square root of 14048796612729600 is 118527619.6197730109
• The cube root of 14048796612729600 is 241293.9178562531

Scales and comparisons

• 14,048,796,612,729,600 seconds is equal to 446,708,276 years, 26 weeks, 1 day, 8 hours.
• To count from 1 to 14,048,796,612,729,600 would take you about one billion, three hundred forty million, one hundred twenty-four 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 14048796612729600 cubic inches would be around 20107.8 feet tall.

Recreational maths with 14048796612729600

• 14048796612729600 backwards is 00692721669784041
• 14048796612729600 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 14048796612729600's digits is 72
• More coming soon!