13394217604864204800
13,394,217,604,864,204,800 is an even composite number composed of six prime numbers multiplied together.
13394217604864204800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 13394217604864204800:
213 × 32 × 52 × 31 × 2812 × 17232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 281 × 281 × 1723 × 1723)See below for interesting mathematical facts about the number 13394217604864204800 from the Numbermatics database.
Names of 13394217604864204800
- Cardinal: 13394217604864204800 can be written as Thirteen quintillion, three hundred ninety-four quadrillion, two hundred seventeen trillion, six hundred four billion, eight hundred sixty-four million, two hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33942176048642048 × 1019
Factors of 13394217604864204800
Divisors of 13394217604864204800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 281 288 300 310 320 360 372 384 400 450 465 480 496 512 558 562 576 600 620 640 720 744 768 775 800 843 900 930 960 992 1024 1116 1124 1152 1200 1240 1280 1395 1405 1440 1488 1536 1550 1600 1686 1723 1800 1860 1920 1984 2048 2232 2248 2304 2325 2400 2480 2529 2560 2790 2810 2880 2976 3072 3100 3200 3372 3446 3600 3720 3840 3968 4096 4215 4464 4496 4608 4650 4800 4960 5058 5120 5169 5580 5620 5760 5952 6144 6200 6400 6744 6892 6975 7025 7200 7440 7680 7936 8192 8430 8615 8711 8928 8992 9216 9300 9600 9920 10116 10240 10338 11160 11240 11520 11904 12288 12400 12645 12800 13488 13784 13950 14050 14400 14880 15360 15507 15872 16860 17230 17422 17856 17984 18432 18600 19200 19840 20232 20480 20676 21075 22320 22480 23040 23808 24576 24800 25290 25600 25845 26133 26976 27568 27900 28100 28800 29760 30720 31014 31744 33720 34460 34844 35712 35968 36864 37200 38400 39680 40464 40960 41352 42150 43075 43555 44640 44960 46080 47616 49600 50580 51200 51690 52266 53413 53952 55136 55800 56200 57600 59520 61440 62028 63225 63488 67440 68920 69688 71424 71936 73728 74400 76800 77535 78399 78961 79360 80928 82704 84300 86150 87110 89280 89920 92160 95232 99200 101160 102400 103380 104532 106826 107904 110272 111600 112400 115200 119040 122880 124056 126450 126976 129225 130665 134880 137840 139376 142848 143872 148800 153600 155070 156798 157922 158720 160239 161856 165408 168600 172300 174220 178560 179840 184320 190464 198400 202320 204800 206760 209064 213652 215808 217775 220544 223200 224800 230400 236883 238080 248112 252900 253952 258450 261330 267065 269760 275680 278752 285696 287744 297600 307200 310140 313596 315844 317440 320478 323712 330816 337200 344600 348440 357120 359680 368640 380928 387675 391995 394805 396800 404640 413520 418128 427304 431616 435550 441088 446400 449600 460800 473766 476160 480717 484163 496224 505800 516900 522660 534130 539520 551360 557504 571392 575488 595200 614400 620280 627192 631688 634880 640956 647424 653325 661632 674400 689200 696880 710649 714240 719360 761856 775350 783990 789610 793600 801195 809280 827040 836256 854608 863232 871100 882176 892800 899200 921600 947532 952320 961434 968326 992448 1011600 1033800 1045320 1068260 1079040 1102720 1115008 1142784 1150976 1184415 1190400 1240560 1254384 1263376 1269760 1281912 1294848 1306650 1323264 1335325 1348800 1378400 1393760 1421298 1428480 1438720 1452489 1550700 1567980 1579220 1587200 1602390 1618560 1654080 1672512 1709216 1726464 1742200 1764352 1785600 1798400 1843200 1895064 1904640 1922868 1936652 1959975 1974025 1984896 2023200 2067600 2090640 2136520 2158080 2205440 2230016 2285568 2301952 2368830 2380800 2403585 2420815 2447791 2481120 2508768 2526752 2563824 2589696 2613300 2646528 2670650 2697600 2756800 2787520 2842596 2856960 2877440 2904978 2968729 3101400 3135960 3158440 3174400 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72668281276390 74478523158720 75012419382080 76881056163840 77737769035776 79443758035968 80976842745600 82753914620800 83588998963200 84388971804840 84815400038400 85423395737600 86375298928640 87201937531668 90014903258496 93098153948400 93765524227600 96101320204800 97172211294720 99304697544960 102508074885120 103650358714368 105486214756050 105925010714624 107969123660800 109002421914585 112518629073120 116269250042224 119165637053952 120019871011328 121465264118400 124130871931200 125383498444800 128135093606400 129562948392960 130802906297502 132406263393280 135022354887744 140648286341400 145336562552780 148957046317440 150024838764160 153762112327680 155475538071552 158887516071936 161953685491200 165507829241600 168777943609680 169630800076800 170846791475200 172750597857280 174403875063336 180029806516992 181670703190975 186196307896800 187531048455200 192202640409600 194344422589440 198609395089920 210972429512100 211850021429248 215938247321600 218004843829170 225037258146240 232538500084448 238331274107904 240039742022656 242930528236800 248261743862400 250766996889600 256270187212800 259125896785920 261605812595004 264812526786560 270044709775488 281296572682800 290673125105560 297914092634880 300049677528320 307524224655360 310951076143104 317775032143872 323907370982400 327007265743755 331015658483200 337555887219360 348807750126672 360059613033984 363341406381950 372392615793600 375062096910400 384405280819200 388688845178880 397218790179840 421944859024200 431876494643200 436009687658340 450074516292480 465077000168896 476662548215808 480079484045312 485861056473600 496523487724800 512540374425600 518251793571840 523211625190008 529625053573120 540089419550976 545012109572925 562593145365600 581346250211120 595828185269760 600099355056640 635550064287744 647814741964800 654014531487510 662031316966400 675111774438720 697615500253344 720119226067968 726682812763900 744785231587200 750124193820800 768810561638400 777377690357760 794437580359680 843889718048400 863752989286400 872019375316680 900149032584960 930154000337792 953325096431616 960158968090624 971722112947200 993046975449600 1046423250380016 1059250107146240 1080178839101952 1090024219145850 1125186290731200 1162692500422240 1191656370539520 1200198710113280 1295629483929600 1308029062975020 1324062633932800 1350223548877440 1395231000506688 1440238452135936 1453365625527800 1489570463174400 1500248387641600 1537621123276800 1554755380715520 1588875160719360 1635036328718775 1687779436096800 1744038750633360 1800298065169920 1860308000675584 1906650192863232 1920317936181248 1943444225894400 1986093950899200 2092846500760032 2160357678203904 2180048438291700 2250372581462400 2325385000844480 2383312741079040 2400397420226560 2591258967859200 2616058125950040 2648125267865600 2700447097754880 2790462001013376 2880476904271872 2906731251055600 2979140926348800 3000496775283200 3177750321438720 3270072657437550 3375558872193600 3488077501266720 3600596130339840 3720616001351168 3886888451788800 3972187901798400 4185693001520064 4320715356407808 4360096876583400 4500745162924800 4650770001688960 4766625482158080 4800794840453120 5232116251900080 5296250535731200 5400894195509760 5580924002026752 5760953808543744 5813462502111200 5958281852697600 6000993550566400 6540145314875100 6751117744387200 6976155002533440 7201192260679680 7441232002702336 7773776903577600 7944375803596800 8371386003040128 8641430712815616 8720193753166800 9001490325849600 9301540003377920 9533250964316160 9601589680906240 10464232503800160 10801788391019520 11161848004053504 11626925004222400 11916563705395200 12001987101132800 13080290629750200 13502235488774400 13952310005066880 14402384521359360 14882464005404672 15888751607193600 16742772006080256 17282861425631232 17440387506333600 18002980651699200 18603080006755840 20928465007600320 21603576782039040 22323696008107008 23253850008444800 23833127410790400 24003974202265600 26160581259500400 27004470977548800 27904620010133760 28804769042718720 29764928010809344 33485544012160512 34880775012667200 36005961303398400 37206160013511680 41856930015200640 43207153564078080 44647392016214016 46507700016889600 47666254821580800 48007948404531200 52321162519000800 54008941955097600 55809240020267520 59529856021618688 66971088024321024 69761550025334400 72011922606796800 74412320027023360 83713860030401280 86414307128156160 89294784032428032 93015400033779200 104642325038001600 108017883910195200 111618480040535040 133942176048642048 139523100050668800 144023845213593600 148824640054046720 167427720060802560 178589568064856064 186030800067558400 209284650076003200 216035767820390400 223236960081070080 267884352097284096 279046200101337600 297649280108093440 334855440121605120 372061600135116800 418569300152006400 432071535640780800 446473920162140160 535768704194568192 558092400202675200 669710880243210240 744123200270233600 837138600304012800 892947840324280320 1116184800405350400 1339421760486420480 1488246400540467200 1674277200608025600 2232369600810700800 2678843520972840960 3348554401216051200 4464739201621401600 6697108802432102400 13394217604864204800
- Sum of all divisors σ(n): 49731556230733714272
- Sum of proper divisors (its aliquot sum) s(n): 36337338625869509472
- 13394217604864204800 is an abundant number, because the sum of its proper divisors (36337338625869509472) is greater than itself. Its abundance is 22943121021005304672
Bases of 13394217604864204800
- Binary: 10111001111000011101000111110010001011100011011011100000000000002
- Hexadecimal: 0xB9E1D1F22E36E000
- Base-36: 2TRGTVHILVCW0
Squares and roots of 13394217604864204800
- 13394217604864204800 squared (133942176048642048002) is 179405065246454195107989448336343040000
- 13394217604864204800 cubed (133942176048642048003) is 2402990483325868097225381848345355458952495829614592000000
-
The
square root of 13394217604864204800 is 3659811143.3329732403 -
The
cube root of 13394217604864204800 is 2374866.0374220679
Scales and comparisons
How big is 13394217604864204800?- 13,394,217,604,864,204,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,394,217,604,864,204,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13394217604864204800 cubic inches would be around 197905.5 feet tall.
Recreational maths with 13394217604864204800
- 13394217604864204800 backwards is 00840246840671249331
- 13394217604864204800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13394217604864204800's digits is 72
- More coming soon!
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"Number 13394217604864204800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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The information we have on file for 13394217604864204800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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