13456693138636800

Names of 13456693138636800

• Cardinal: 13456693138636800 can be written as Thirteen quadrillion, four hundred fifty-six trillion, six hundred ninety-three billion, one hundred thirty-eight million, six hundred thirty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.34566931386368 × 10¹⁶

Factors of 13456693138636800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1312

Divisors of 13456693138636800

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 338 360 384 390 400 416 450 468 480 507 512 520 576 585 600 624 640 650 676 720 768 780 800 832 845 900 936 960 975 1014 1024 1040 1152 1170 1200 1248 1280 1289 1300 1352 1440 1521 1536 1560 1600 1664 1690 1800 1872 1920 1950 2028 2048 2080 2197 2304 2340 2400 2496 2535 2560 2578 2600 2704 2880 2925 3042 3072 3120 3200 3328 3380 3600 3744 3840 3867 3900 4056 4096 4160 4225 4394 4608 4680 4800 4992 5070 5120 5156 5200 5408 5760 5850 6084 6144 6240 6400 6445 6591 6656 6760 7200 7488 7605 7680 7734 7800 8112 8192 8320 8450 8788 9216 9360 9600 9984 10140 10240 10312 10400 10816 10985 11520 11601 11700 12168 12288 12480 12675 12800 12890 13182 13312 13520 14400 14976 15210 15360 15468 15600 16224 16384 16640 16757 16900 17576 18432 18720 19200 19335 19773 19968 20280 20480 20624 20800 21632 21970 23040 23202 23400 24336 24576 24960 25350 25600 25780 26364 26624 27040 28800 29952 30420 30720 30936 31200 32225 32448 32955 33280 33514 33800 35152 36864 37440 38025 38400 38670 39546 39936 40560 40960 41248 41600 43264 43940 46080 46404 46800 48672 49152 49920 50271 50700 51200 51560 52728 53248 54080 54925 57600 58005 59904 60840 61440 61872 62400 64450 64896 65910 66560 67028 67600 70304 73728 74880 76050 76800 77340 79092 79872 81120 81920 82496 83200 83785 86528 87880 92160 92808 93600 96675 97344 98865 99840 100542 101400 102400 103120 105456 106496 108160 109850 115200 116010 119808 121680 122880 123744 124800 128900 129792 131820 133120 134056 135200 140608 147456 149760 150813 152100 153600 154680 158184 159744 162240 164775 164992 166400 167570 173056 175760 184320 185616 187200 193350 194688 197730 199680 201084 202800 204800 206240 210912 212992 216320 217841 219700 230400 232020 239616 243360 245760 247488 249600 251355 257800 259584 263640 266240 268112 270400 281216 290025 299520 301626 304200 307200 309360 316368 319488 324480 329550 329984 332800 335140 346112 351520 368640 371232 374400 386700 389376 395460 399360 402168 405600 409600 412480 418925 421824 432640 435682 439400 460800 464040 479232 486720 494325 494976 499200 502710 515600 519168 527280 532480 536224 540800 562432 580050 599040 603252 608400 614400 618720 632736 638976 648960 653523 659100 659968 665600 670280 692224 703040 737280 742464 748800 754065 773400 778752 790920 798720 804336 811200 824960 837850 843648 865280 871364 878800 921600 928080 958464 973440 988650 989952 998400 1005420 1031200 1038336 1054560 1064960 1072448 1081600 1089205 1124864 1160100 1198080 1206504 1216800 1228800 1237440 1256775 1265472 1297920 1307046 1318200 1319936 1331200 1340560 1384448 1406080 1484928 1497600 1508130 1546800 1557504 1581840 1597440 1608672 1622400 1649920 1661521 1675700 1687296 1730560 1742728 1757600 1843200 1856160 1916928 1946880 1960569 1977300 1979904 1996800 2010840 2062400 2076672 2109120 2144896 2163200 2178410 2249728 2320200 2396160 2413008 2433600 2474880 2513550 2530944 2595840 2614092 2636400 2639872 2662400 2681120 2768896 2812160 2831933 2969856 2995200 3016260 3093600 3115008 3163680 3194880 3217344 3244800 3267615 3299840 3323042 3351400 3374592 3461120 3485456 3515200 3686400 3712320 3770325 3893760 3921138 3954600 3959808 3993600 4021680 4124800 4153344 4218240 4289792 4326400 4356820 4499456 4640400 4792320 4826016 4867200 4949760 4984563 5027100 5061888 5191680 5228184 5272800 5279744 5324800 5362240 5446025 5624320 5663866 5939712 5990400 6032520 6187200 6230016 6327360 6434688 6489600 6535230 6599680 6646084 6702800 6749184 6922240 6970912 7030400 7424640 7540650 7787520 7842276 7909200 7919616 7987200 8043360 8249600 8306688 8307605 8436480 8495799 8579584 8652800 8713640 8998912 9280800 9584640 9652032 9734400 9802845 9899520 9969126 10054200 10123776 10383360 10456368 10545600 10559488 10724480 10892050 11248640 11327732 11879424 11980800 12065040 12374400 12460032 12654720 12869376 12979200 13070460 13199360 13292168 13405600 13498368 13844480 13941824 14060800 14159665 14849280 14953689 15081300 15575040 15684552 15818400 15839232 15974400 16086720 16338075 16499200 16615210 16872960 16991598 17159168 17305600 17427280 17997824 18561600 19304064 19468800 19605690 19799040 19938252 20108400 20247552 20766720 20912736 21091200 21118976 21448960 21599773 21784100 22497280 22655464 23758848 23961600 24130080 24748800 24920064 24922815 25309440 25487397 25738752 25958400 26140920 26398720 26584336 26811200 26996736 27883648 28121600 28319330 29698560 29907378 30162600 31150080 31369104 31636800 31678464 32173440 32676150 32998400 33230420 33745920 33983196 34318336 34611200 34854560 35995648 37123200 38608128 38937600 39211380 39598080 39876504 40216800 40495104 41533440 41538025 41825472 42182400 42478995 42897920 43199546 43568200 44994560 45310928 47517696 47923200 48260160 49014225 49497600 49845630 50618880 50974794 51477504 51916800 52281840 52797440 53168672 53622400 53993472 55767296 56243200 56638660 59397120 59814756 60325200 62300160 62738208 63273600 63356928 64346880 64799319 65352300 65996800 66460840 67491840 67966392 68636672 69222400 69709120 70798325 74246400 74768445 77216256 77875200 78422760 79196160 79753008 80433600 80990208 83076050 83650944 84364800 84957990 85795840 86399092 87136400 89989120 90621856 95035392 96520320 98028450 98995200 99691260 101237760 101949588 102955008 103833600 104563680 105594880 106337344 107244800 107986944 107998865 111534592 112486400 113277320 118794240 119629512 120650400 124600320 124614075 125476416 126547200 127436985 128693760 129598638 130704600 131993600 132921680 134983680 135932784 137273344 139418240 141596650 148492800 149536890 154432512 155750400 156845520 158392320 159506016 160867200 161980416 166152100 167301888 168729600 169915980 171591680 172798184 174272800 179978240 181243712 190070784 193040640 194397957 196056900 197990400 199382520 202475520 203899176 205910016 207667200 209127360 212394975 212674688 214489600 215997730 223069184 224972800 226554640 237588480 239259024 241300800 249228150 250952832 253094400 254873970 257387520 259197276 261409200 263987200 265843360 269967360 271865568 274546688 278836480 280797049 283193300 296985600 299073780 308865024 311500800 313691040 316784640 319012032 321734400 323960832 323996595 332304200 334603776 337459200 339831960 343183360 345596368 348545600 362487424 373842225 386081280 388795914 392113800 395980800 398765040 404951040 407798352 411820032 418254720 424789950 425349376 428979200 431995460 446138368 449945600 453109280 475176960 478518048 482601600 498456300 501905664 506188800 509747940 514775040 518394552 522818400 527974400 531686720 539934720 539994325 543731136 557672960 561594098 566386600 593971200 598147560 617730048 623001600 627382080 637184925 638024064 643468800 647993190 664608400 669207552 674918400 679663920 686366720 691192736 697091200 724974848 747684450 772162560 777591828 784227600 791961600 797530080 809902080 815596704 823640064 836509440 842391147 849579900 850698752 857958400 863990920 892276736 899891200 906218560 950353920 957036096 965203200 971989785 996912600 1003811328 1012377600 1019495880 1029550080 1036789104 1045636800 1063373440 1079988650 1087462272 1115345920 1123188196 1132773200 1187942400 1196295120 1235460096 1254764160 1274369850 1276048128 1286937600 1295986380 1329216800 1338415104 1349836800 1359327840 1372733440 1382385472 1394182400 1403985245 1449949696 1495368900 1544325120 1555183656 1568455200 1583923200 1595060160 1619804160 1619982975 1631193408 1673018880 1684782294 1699159800 1701397504 1715916800 1727981840 1784553472 1812437120 1914072192 1930406400 1943979570 1993825200 2007622656 2024755200 2038991760 2059100160 2073578208 2091273600 2126746880 2159977300 2174924544 2230691840 2246376392 2265546400 2375884800 2392590240 2470920192 2509528320 2527173441 2548739700 2552096256 2573875200 2591972760 2658433600 2676830208 2699673600 2718655680 2764770944 2788364800 2807970490 2899899392 2990737800 3088650240 3110367312 3136910400 3190120320 3239965950 3262386816 3346037760 3369564588 3398319600 3402795008 3431833600 3455963680 3569106944 3624874240 3650361637 3828144384 3860812800 3887959140 3987650400 4015245312 4049510400 4077983520 4118200320 4147156416 4182547200 4211955735 4253493760 4319954600 4349849088 4461383680 4492752784 4531092800 4751769600 4785180480 4859948925 5019056640 5054346882 5097479400 5104192512 5147750400 5183945520 5316867200 5353660416 5437311360 5529541888 5576729600 5615940980 5799798784 5981475600 6177300480 6220734624 6273820800 6380240640 6479931900 6524773632 6692075520 6739129176 6796639200 6805590016 6863667200 6911927360 7019926225 7249748480 7300723274 7656288768 7721625600 7775918280 7975300800 8030490624 8099020800 8155967040 8294312832 8365094400 8423911470 8506987520 8639909200 8699698176 8922767360 8985505568 9062185600 9570360960 9719897850 10038113280 10108693764 10194958800 10208385024 10295500800 10367891040 10633734400 10707320832 10874622720 10951084911 11059083776 11153459200 11231881960 11599597568 11962951200 12354600960 12441469248 12547641600 12635867205 12760481280 12959863800 13049547264 13384151040 13478258352 13593278400 13611180032 13823854720 14039852450 14499496960 14601446548 15312577536 15443251200 15551836560 15950601600 16060981248 16311934080 16588625664 16730188800 16847822940 17013975040 17279818400 17399396352 17845534720 17971011136 18124371200 18251808185 19140721920 19439795700 20076226560 20217387528 20389917600 20416770048 20591001600 20735782080 21059778675 21267468800 21749245440 21902169822 22118167552 22306918400 22463763920 23199195136 23925902400 24882938496 25095283200 25271734410 25520962560 25919727600 26099094528 26768302080 26956516704 27186556800 27222360064 27647709440 28079704900 28998993920 29202893096 30625155072 30886502400 31103673120 31901203200 32121962496 32623868160 32853254733 33177251328 33460377600 33695645880 34027950080 34559636800 34798792704 35942022272 36248742400 36503616370 38281443840 38879591400 40152453120 40434775056 40779835200 40833540096 41471564160 42119557350 42534937600 43498490880 43804339644 44236335104 44613836800 44927527840 46398390272 47851804800 49765876992 50190566400 50543468820 51041925120 51839455200 52198189056 53536604160 53913033408 54373113600 54755424555 55295418880 56159409800 57997987840 58405786192 61250310144 61773004800 62207346240 63179336025 63802406400 65247736320 65706509466 66354502656 66920755200 67391291760 68055900160 69119273600 69597585408 71884044544 72497484800 73007232740 76562887680 77759182800 80304906240 80869550112 81559670400 81667080192 82943128320 84239114700 85069875200 86996981760 87608679288 88472670208 89227673600 89855055680 91259040925 95703609600 99531753984 100381132800 101086937640 102083850240 103678910400 104396378112 107826066816 108746227200 109510849110 110590837760 112318819600 115995975680 116811572384 122500620288 124414692480 126358672050 127604812800 130495472640 131413018932 132709005312 133841510400 134782583520 136111800320 138238547200 139195170816 143768089088 144994969600 146014465480 153125775360 155518365600 160609812480 161739100224 163119340800 164266273665 165886256640 168478229400 170139750400 173993963520 175217358576 176945340416 179710111360 182518081850 191407219200 199063507968 200762265600 202173875280 204167700480 207357820800 208792756224 215652133632 217492454400 219021698220 221181675520 224637639200 231991951360 233623144768 245001240576 248829384960 252717344100 255209625600 260990945280 262826037864 265418010624 267683020800 269565167040 273777122775 276477094400 287536178176 289989939200 292028930960 306251550720 311036731200 323478200448 326238681600 328532547330 331772513280 336956458800 340279500800 347987927040 350434717152 353890680832 359420222720 365036163700 382814438400 398127015936 401524531200 404347750560 408335400960 414715641600 417585512448 431304267264 434984908800 438043396440 442363351040 449275278400 467246289536 497658769920 505434688200 510419251200 521981890560 525652075728 530836021248 539130334080 547554245550 552954188800 575072356352 579979878400 584057861920 612503101440 622073462400 646956400896 652477363200 657065094660 663545026560 673912917600 680559001600 695975854080 700869434304 718840445440 730072327400 765628876800 796254031872 803049062400 808695501120 821331368325 829431283200 862608534528 869969817600 876086792880 884726702080 898550556800 934492579072 995317539840 1010869376400 1020838502400 1043963781120 1051304151456 1061672042496 1078260668160 1095108491100 1105908377600 1150144712704 1159959756800 1168115723840 1225006202880 1244146924800 1293912801792 1304954726400 1314130189320 1327090053120 1347825835200 1401738868608 1437680890880 1460144654800 1531257753600 1592508063744 1617391002240 1642662736650 1658862566400 1725217069056 1739939635200 1752173585760 1769453404160 1797101113600 1868985158144 1990635079680 2021738752800 2041677004800 2087927562240 2102608302912 2156521336320 2190216982200 2211816755200 2300289425408 2336231447680 2488293849600 2587825603584 2609909452800 2628260378640 2654180106240 2695651670400 2803477737216 2875361781760 2920289309600 3062515507200 3185016127488 3234782004480 3285325473300 3317725132800 3450434138112 3479879270400 3504347171520 3594202227200 3737970316288 3981270159360 4043477505600 4205216605824 4313042672640 4380433964400 4423633510400 4600578850816 4672462895360 4976587699200 5175651207168 5219818905600 5256520757280 5308360212480 5391303340800 5606955474432 5750723563520 5840578619200 6125031014400 6469564008960 6570650946600 6635450265600 6900868276224 7008694343040 7188404454400 7475940632576 7962540318720 8086955011200 8410433211648 8626085345280 8760867928800 8847267020800 9344925790720 9953175398400 10351302414336 10439637811200 10513041514560 10782606681600 11213910948864 11501447127040 11681157238400 12939128017920 13141301893200 13270900531200 13801736552448 14017388686080 14376808908800 14951881265152 15925080637440 16173910022400 16820866423296 17252170690560 17521735857600 18689851581440 19906350796800 20702604828672 21026083029120 21565213363200 22427821897728 23002894254080 23362314476800 25878256035840 26282603786400 26541801062400 28034777372160 28753617817600 29903762530304 32347820044800 33641732846592 34504341381120 35043471715200 37379703162880 39812701593600 41405209657344 42052166058240 43130426726400 44855643795456 46724628953600 51756512071680 52565207572800 56069554744320 57507235635200 59807525060608 64695640089600 67283465693184 69008682762240 70086943430400 74759406325760 79625403187200 84104332116480 86260853452800 89711287590912 93449257907200 103513024143360 105130415145600 112139109488640 115014471270400 129391280179200 134566931386368 140173886860800 149518812651520 168208664232960 172521706905600 179422575181824 186898515814400 207026048286720 210260830291200 224278218977280 258782560358400 269133862772736 280347773721600 299037625303040 336417328465920 345043413811200 373797031628800 420521660582400 448556437954560 517565120716800 538267725545472 560695547443200 672834656931840 747594063257600 841043321164800 897112875909120 1035130241433600 1121391094886400 1345669313863680 1495188126515200 1682086642329600 2242782189772800 2691338627727360 3364173284659200 4485564379545600 6728346569318400 13456693138636800
• Sum of all divisors σ(n): 52259057533408180
• Sum of proper divisors (its aliquot sum) s(n): 38802364394771380
• 13456693138636800 is an abundant number, because the sum of its proper divisors (38802364394771380) is greater than itself. Its abundance is 25345671256134580

Bases of 13456693138636800

• Binary: 101111110011101100101010000110011000010100000000000000₂
• Hexadecimal: 0x2FCECA86614000
• Base-36: 3OHZZHH81S0

Squares and roots of 13456693138636800

• 13456693138636800 squared (13456693138636800²) is 181082590227434731424962314240000
• 13456693138636800 cubed (13456693138636800³) is 2436772849440100203165993772913423686828032000000
• The square root of 13456693138636800 is 116002987.6280641317
• The cube root of 13456693138636800 is 237855.2726161823

Scales and comparisons

• 13,456,693,138,636,800 seconds is equal to 427,881,217 years, 27 weeks, 1 day, 16 hours.
• To count from 1 to 13,456,693,138,636,800 would take you about one billion, two hundred eighty-three million, six hundred forty-three thousand, six hundred fifty-two 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 13456693138636800 cubic inches would be around 19821.3 feet tall.

Recreational maths with 13456693138636800

• 13456693138636800 backwards is 00863683139665431
• 13456693138636800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13456693138636800's digits is 72
• More coming soon!