12828686882419200

Names of 12828686882419200

• Cardinal: 12828686882419200 can be written as Twelve quadrillion, eight hundred twenty-eight trillion, six hundred eighty-six billion, eight hundred eighty-two million, four hundred nineteen thousand, two hundred.

Scientific notation

• Scientific notation: 1.28286868824192 × 10¹⁶

Factors of 12828686882419200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 250

Divisors of 12828686882419200

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 200 208 227 240 256 260 300 312 320 325 338 384 390 400 416 454 480 507 512 520 600 624 640 650 676 681 768 780 800 832 845 908 960 975 1014 1040 1135 1200 1248 1280 1300 1352 1362 1536 1560 1600 1664 1690 1816 1920 1950 2028 2080 2197 2270 2400 2496 2535 2560 2600 2704 2724 2951 3120 3200 3328 3380 3405 3632 3840 3900 4056 4160 4225 4394 4540 4800 4992 5070 5200 5408 5448 5675 5902 6240 6400 6591 6656 6760 6810 7264 7680 7800 8112 8320 8450 8788 8853 9080 9600 9984 10140 10400 10816 10896 10985 11350 11804 12480 12675 12800 13182 13520 13620 14528 14755 15600 16224 16640 16900 17025 17576 17706 18160 19200 19968 20280 20800 21632 21792 21970 22700 23608 24960 25350 26364 27040 27240 28561 29056 29510 31200 32448 32955 33280 33800 34050 35152 35412 36320 38363 38400 40560 41600 43264 43584 43940 44265 45400 47216 49920 50700 51529 52728 54080 54480 54925 57122 58112 59020 62400 64896 65910 67600 68100 70304 70824 72640 73775 76726 81120 83200 85683 86528 87168 87880 88530 90800 94432 99840 101400 103058 105456 108160 108960 109850 114244 115089 116224 118040 124800 129792 131820 135200 136200 140608 141648 142805 145280 147550 153452 154587 162240 164775 166400 171366 174336 175760 177060 181600 188864 191815 202800 206116 210912 216320 217920 219700 221325 228488 230178 236080 249600 257645 259584 263640 270400 272400 281216 283296 285610 290560 295100 306904 309174 324480 329550 342732 348672 351520 354120 363200 377728 383630 405600 412232 421824 428415 432640 435840 439400 442650 456976 460356 472160 498719 499200 515290 527280 540800 544800 562432 566592 571220 575445 581120 590200 613808 618348 648960 659100 669877 685464 703040 708240 714025 726400 755456 767260 772935 811200 824464 843648 856830 871680 878800 885300 913952 920712 944320 959075 997438 1030580 1054560 1081600 1089600 1124864 1133184 1142440 1150890 1180400 1227616 1236696 1288225 1297920 1318200 1339754 1370928 1406080 1416480 1428050 1452800 1496157 1510912 1534520 1545870 1622400 1648928 1687296 1713660 1743360 1757600 1770600 1827904 1841424 1888640 1918150 1994876 2009631 2061160 2109120 2142075 2163200 2179200 2266368 2284880 2301780 2360800 2455232 2473392 2493595 2576450 2636400 2679508 2741856 2812160 2832960 2856100 2877225 2905600 2992314 3069040 3091740 3244800 3297856 3349385 3374592 3427320 3515200 3541200 3655808 3682848 3777280 3836300 3864675 3989752 4019262 4122320 4218240 4284150 4358400 4532736 4569760 4603560 4721600 4910464 4946784 4987190 5152900 5272800 5359016 5483712 5624320 5665920 5712200 5754450 5984628 6138080 6183480 6483347 6489600 6595712 6698770 6854640 7030400 7082400 7311616 7365696 7480785 7554560 7672600 7729350 7979504 8038524 8244640 8436480 8568300 8708401 8716800 9139520 9207120 9443200 9820928 9893568 9974380 10048155 10305800 10545600 10718032 10967424 11331840 11424400 11508900 11697083 11969256 12276160 12366960 12467975 12966694 13191424 13397540 13709280 14060800 14164800 14623232 14731392 14961570 15345200 15458700 15959008 16077048 16489280 16746925 16872960 17136600 17416802 18279040 18414240 18886400 19450041 19641856 19787136 19948760 20096310 20611600 21091200 21436064 21934848 22663680 22848800 23017800 23394166 23938512 24552320 24733920 24935950 25933388 26125203 26382848 26795080 27418560 28121600 28329600 29462784 29923140 30690400 30917400 31918016 32154096 32416735 32978560 33493850 34273200 34833604 35091249 36558080 36828480 37403925 37772800 38900082 39574272 39897520 40192620 41223200 42182400 42872128 43542005 43869696 45697600 46035600 46788332 47877024 49104640 49467840 49871900 50240775 51866776 52250406 53590160 54837120 56659200 58485415 58925568 59846280 61380800 61834800 63836032 64308192 64833470 65957120 66987700 68546400 69667208 70182498 73116160 73656960 74807850 77800164 79148544 79795040 80385240 82446400 84364800 85744256 87084010 91395200 92071200 93576664 95754048 97250205 98209280 98935680 99743800 100481550 103733552 104500812 107180320 109674240 113209213 113318400 116970830 119692560 122761600 123669600 127672064 128616384 129666940 130626015 131914240 133975400 137092800 139334416 140364996 147313920 149615700 152062079 155600328 159590080 160770480 162083675 164892800 171488512 174168020 175456245 182790400 184142400 187153328 191508096 194500410 197871360 199487600 200963100 207467104 209001624 214360640 217710025 219348480 226418426 233941660 239385120 245523200 247339200 255344128 257232768 259333880 261252030 267950800 274185600 278668832 280729992 292427075 294627840 299231400 304124158 311200656 319180160 321540960 324167350 329785600 339627639 342977024 348336040 350912490 365580800 368284800 374306656 383016192 389000820 395742720 398975200 401926200 414934208 418003248 428721280 435420050 452836852 456186237 467883320 478770240 486251025 491046400 494678400 514465536 518667760 522504060 535901600 548371200 557337664 561459984 566046065 584854150 598462800 608248316 622401312 638360320 643081920 648334700 653130075 659571200 679255278 696672080 701824980 736569600 748613312 760310395 766032384 778001640 797950400 803852400 829868416 836006496 857442560 870840100 877281225 905673704 912372474 935766640 957540480 972502050 989356800 1028931072 1037335520 1045008120 1071803200 1096742400 1114675328 1122919968 1132092130 1169708300 1196925600 1216496632 1244802624 1276720640 1286163840 1296669400 1306260150 1358510556 1393344160 1403649960 1471719769 1473139200 1497226624 1520620790 1556003280 1595900800 1607704800 1659736832 1672012992 1698138195 1714885120 1741680200 1754562450 1811347408 1824744948 1871533280 1915080960 1945004100 1976807027 1978713600 2074671040 2090016240 2143606400 2229350656 2245839936 2264184260 2280931185 2339416600 2393851200 2432993264 2489605248 2572327680 2593338800 2612520300 2717021112 2786688320 2807299920 2830230325 2943439538 2994453248 3041241580 3112006560 3191801600 3215409600 3319473664 3344025984 3396276390 3483360400 3509124900 3622694816 3649489896 3743066560 3801551975 3830161920 3890008200 3953614054 4149342080 4180032480 4287212800 4415159307 4458701312 4491679872 4528368520 4561862370 4678833200 4787702400 4865986528 4979210496 5144655360 5186677600 5225040600 5434042224 5573376640 5614599840 5660460650 5886879076 5930421081 5988906496 6082483160 6224013120 6383603200 6430819200 6688051968 6792552780 6966720800 7018249800 7245389632 7298979792 7358598845 7486133120 7603103950 7780016400 7907228108 8298684160 8360064960 8490690975 8574425600 8830318614 8983359744 9056737040 9123724740 9357666400 9575404800 9731973056 9884035135 9958420992 10373355200 10450081200 10868084448 11146753280 11229199680 11320921300 11404655925 11773758152 11860842162 12164966320 12448026240 12861638400 13376103936 13585105560 13933441600 14036499600 14490779264 14597959584 14717197690 14972266240 15206207900 15560032800 15814456216 16597368320 16720129920 16981381950 17660637228 17966719488 18113474080 18247449480 18715332800 19150809600 19463946112 19768070270 20746710400 20900162400 21736168896 22075796535 22293506560 22458399360 22641842600 22809311850 23547516304 23721684324 24329932640 24896052480 25698491351 25723276800 27170211120 27866883200 28072999200 28981558528 29195919168 29434395380 29652105405 29944532480 30412415800 31120065600 31628912432 33440259840 33962763900 35321274456 36226948160 36494898960 36792994225 37430665600 38927892224 39536140540 41493420800 41800324800 43472337792 44151593070 44916798720 45283685200 45618623700 47095032608 47443368648 48659865280 49420175675 49792104960 51396982702 54340422240 55733766400 56145998400 57963117056 58391838336 58868790760 59304210810 60824831600 62240131200 63257824864 66880519680 67925527800 70642548912 72453896320 72989797920 73585988450 74861331200 77095474053 77855784448 79072281080 82986841600 83600649600 86944675584 88303186140 89833597440 90567370400 91237247400 94190065216 94886737296 97319730560 98840351350 102793965404 108680844480 110378982675 111467532800 112291996800 116783676672 117737581520 118608421620 121649663200 124480262400 126515649728 128492456755 135851055600 141285097824 144907792640 145979595840 147171976900 148260527025 149722662400 154190948106 158144562160 167201299200 173889351168 176606372280 181134740800 182474494800 188380130432 189773474592 194639461120 197680702700 205587930808 217361688960 220757965350 224583993600 233567353344 235475163040 237216843240 243299326400 248960524800 253031299456 256984913510 271702111200 282570195648 289815585280 291959191680 294343953800 296521054050 308381896212 316289124320 334080387563 334402598400 353212744560 362269481600 364948989600 376760260864 379546949184 385477370265 389278922240 395361405400 411175861616 434723377920 441515930700 449167987200 470950326080 474433686480 486598652800 506062598912 513969827020 543404222400 565140391296 583918383360 588687907600 593042108100 616763792424 632578248640 642462283775 668160775126 706425489120 724538963200 729897979200 753520521728 759093898368 770954740530 790722810800 822351723232 869446755840 883031861400 941900652160 948867372960 973197305600 1002241162689 1012125197824 1027939654040 1086808444800 1130280782592 1167836766720 1177375815200 1186084216200 1233527584848 1265156497280 1284924567550 1336321550252 1412850978240 1449077926400 1459795958400 1518187796736 1541909481060 1581445621600 1644703446464 1670401937815 1766063722800 1883801304320 1897734745920 1927386851325 1946394611200 2004482325378 2055879308080 2173616889600 2260561565184 2354751630400 2372168432400 2467055169696 2530312994560 2569849135100 2672643100504 2825701956480 2919591916800 3036375593472 3083818962120 3162891243200 3289406892928 3340803875630 3532127445600 3767602608640 3795469491840 3854773702650 4008964650756 4111758616160 4347233779200 4709503260800 4744336864800 4934110339392 5011205813445 5060625989120 5139698270200 5345286201008 5651403912960 5839183833600 6167637924240 6325782486400 6578813785856 6681607751260 7064254891200 7590938983680 7709547405300 8017929301512 8223517232320 8352009689075 9419006521600 9488673729600 9868220678784 10022411626890 10279396540400 10690572402016 11302807825920 12335275848480 12651564972800 13157627571712 13363215502520 14128509782400 15181877967360 15419094810600 16035858603024 16447034464640 16704019378150 18838013043200 18977347459200 19736441357568 20044823253780 20558793080800 21381144804032 24670551696960 25056029067225 25303129945600 26726431005040 28257019564800 30838189621200 32071717206048 32894068929280 33408038756300 37954694918400 39472882715136 40089646507560 41117586161600 42762289608064 49341103393920 50112058134450 53452862010080 56514039129600 61676379242400 64143434412096 65788137858560 66816077512600 75909389836800 80179293015120 82235172323200 85524579216128 98682206787840 100224116268900 106905724020160 123352758484800 128286868824192 133632155025200 160358586030240 164470344646400 171049158432256 197364413575680 200448232537800 213811448040320 246705516969600 256573737648384 267264310050400 320717172060480 328940689292800 400896465075600 427622896080640 493411033939200 513147475296768 534528620100800 641434344120960 801792930151200 855245792161280 986822067878400 1069057240201600 1282868688241920 1603585860302400 2138114480403200 2565737376483840 3207171720604800 4276228960806400 6414343441209600 12828686882419200
• Sum of all divisors σ(n): 46113347934830880
• Sum of proper divisors (its aliquot sum) s(n): 33284661052411680
• 12828686882419200 is an abundant number, because the sum of its proper divisors (33284661052411680) is greater than itself. Its abundance is 20455974169992480

Bases of 12828686882419200

• Binary: 101101100100111001111101101100100011111011001000000000₂
• Hexadecimal: 0x2D939F6C8FB200
• Base-36: 3IBE1E6WUTC

Squares and roots of 12828686882419200

• 12828686882419200 squared (12828686882419200²) is 164575207127154453006044528640000
• 12828686882419200 cubed (12828686882419200³) is 2111283800843549164094232057971975166885888000000
• The square root of 12828686882419200 is 113263793.3428825259
• The cube root of 12828686882419200 is 234096.0406556387

Scales and comparisons

• 12,828,686,882,419,200 seconds is equal to 407,912,561 years, 6 weeks, 4 days, 5 hours, 20 minutes.
• To count from 1 to 12,828,686,882,419,200 would take you about one billion, two hundred twenty-three million, seven hundred thirty-seven thousand, six hundred eighty-three 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 12828686882419200 cubic inches would be around 19508 feet tall.

Recreational maths with 12828686882419200

• 12828686882419200 backwards is 00291428868682821
• 12828686882419200 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12828686882419200's digits is 75
• More coming soon!