18944534585846016

Names of 18944534585846016

• Cardinal: 18944534585846016 can be written as Eighteen quadrillion, nine hundred forty-four trillion, five hundred thirty-four billion, five hundred eighty-five million, eight hundred forty-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.8944534585846016 × 10¹⁶

Factors of 18944534585846016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 822

Divisors of 18944534585846016

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 49 54 56 63 64 72 81 82 84 96 98 108 112 123 126 128 144 147 162 164 168 189 192 196 216 224 246 252 256 287 288 294 324 328 336 369 378 384 392 432 441 448 492 504 567 574 576 588 648 656 672 738 756 768 769 784 861 864 882 896 984 1008 1107 1134 1148 1152 1176 1296 1312 1323 1344 1476 1512 1538 1568 1722 1728 1764 1792 1968 2009 2016 2214 2268 2296 2304 2307 2352 2583 2592 2624 2646 2688 2952 3024 3076 3136 3321 3444 3456 3528 3936 3969 4018 4032 4428 4536 4592 4614 4704 5166 5184 5248 5292 5376 5383 5904 6027 6048 6152 6272 6642 6888 6912 6921 7056 7749 7872 7938 8036 8064 8856 9072 9184 9228 9408 10332 10368 10496 10584 10766 11808 12054 12096 12304 12544 13284 13776 13842 14112 15498 15744 15876 16072 16128 16149 17712 18081 18144 18368 18456 18816 20664 20736 20763 21168 21532 23247 23616 24108 24192 24608 26568 27552 27684 28224 30996 31488 31529 31752 32144 32298 35424 36162 36288 36736 36912 37632 37681 41328 41526 42336 43064 46494 47232 48216 48384 48447 49216 53136 54243 55104 55368 56448 61992 62289 63058 63504 64288 64596 70848 72324 72576 73472 73824 75362 82656 83052 84672 86128 92988 94464 94587 96432 96894 98432 106272 108486 110208 110736 112896 113043 123984 124578 126116 127008 128576 129192 141696 144648 145152 145341 147648 150724 162729 165312 166104 169344 172256 185976 189174 192864 193788 196864 212544 216972 220416 220703 221472 226086 247968 249156 252232 254016 257152 258384 283392 283761 289296 290682 295296 301448 325458 330624 332208 338688 339129 344512 371952 378348 385728 387576 425088 433944 436023 441406 442944 452172 495936 498312 504464 508032 514304 516768 567522 578592 581364 590592 591361 602896 650916 661248 662109 664416 678258 689024 743904 756696 771456 775152 850176 851283 867888 872046 882812 885888 904344 991872 996624 1008928 1016064 1017387 1033536 1135044 1157184 1162728 1182722 1205792 1301832 1324218 1328832 1356516 1378048 1487808 1513392 1542912 1544921 1550304 1702566 1735776 1744092 1765624 1771776 1774083 1808688 1983744 1986327 1993248 2017856 2034774 2067072 2270088 2314368 2325456 2365444 2411584 2553849 2603664 2648436 2657664 2713032 2975616 3026784 3052161 3089842 3100608 3405132 3471552 3488184 3531248 3548166 3617376 3972654 3986496 4035712 4069548 4134144 4139527 4540176 4628736 4634763 4650912 4730888 4823168 5107698 5207328 5296872 5315328 5322249 5426064 5951232 5958981 6053568 6104322 6179684 6201216 6810264 6943104 6976368 7062496 7096332 7234752 7945308 7972992 8071424 8139096 8279054 9080352 9269526 9301824 9461776 9646336 10215396 10414656 10593744 10644498 10852128 11917962 12107136 12208644 12359368 12402432 12418581 13620528 13886208 13904289 13952736 14124992 14192664 14469504 15890616 15945984 15966747 16278192 16558108 17876943 18160704 18539052 18603648 18923552 20430792 20829312 21187488 21288996 21704256 23835924 24214272 24245801 24417288 24718736 24837162 27241056 27808578 27905472 28249984 28385328 28939008 28976689 31781232 31933494 32556384 33116216 35753886 36321408 37078104 37207296 37255743 37847104 40861584 41658624 41712867 42374976 42577992 43408512 47671848 47900241 48491602 48834576 49437472 49674324 54482112 55617156 55810944 56499968 56770656 57953378 63562464 63866988 65112768 66232432 71507772 72642816 72737403 74156208 74511486 75694208 81723168 83425734 84749952 85155984 86817024 86930067 95343696 95800482 96983204 97669152 98874944 99348648 108964224 111234312 111621888 111767229 113541312 115906756 125138601 127124928 127733976 130225536 132464864 143015544 145474806 148312416 149022972 151388416 163446336 166851468 169499904 169720607 170311968 173860134 190687392 191600964 193966408 195338304 197749888 198697296 217928448 218212209 222468624 223534458 227082624 231813512 250277202 254249856 255467952 260451072 260790201 264929728 286031088 290949612 296624832 298045944 326892672 333702936 335301687 339441214 340623936 347720268 381374784 383201928 387932816 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229197330936 251380464768 256617557784 257846997303 261030293566 261939806784 267396886092 293277208896 294682282632 298320335504 300430311552 304139327744 305596441248 335610377442 342156743712 343795996404 349253075712 356529181456 384926336676 391036278528 391545440349 392909710176 401095329138 407461921664 439915813344 447480503256 456208991616 458394661872 502760929536 503415566163 513235115568 515693994606 522060587132 523879613568 534793772184 586554417792 589364565264 596640671008 600860623104 601642993707 611192882496 671220754884 684313487424 687591992808 713058362912 769852673352 783090880698 785819420352 802190658276 814923843328 879831626688 894961006512 912417983232 913606027481 916789323744 1006831132326 1026470231136 1031387989212 1044121174264 1047759227136 1069587544368 1173108835584 1174636321047 1178729130528 1193281342016 1203285987414 1222385764992 1342441509768 1368626974848 1375183985616 1426116725824 1510246698489 1539705346704 1566181761396 1571638840704 1604381316552 1759663253376 1789922013024 1804928981121 1827212054962 1833578647488 2013662264652 2052940462272 2062775978424 2088242348528 2139175088736 2349272642094 2357458261056 2386562684032 2406571974828 2444771529984 2684883019536 2737253949696 2740818082443 2750367971232 2852233451648 3020493396978 3079410693408 3132363522792 3143277681408 3208762633104 3519326506752 3523908963141 3579844026048 3609857962242 3654424109924 3667157294976 4027324529304 4105880924544 4125551956848 4176484697056 4278350177472 4698545284188 4714916522112 4773125368064 4813143949656 5369766039072 5481636164886 5500735942464 5704466903296 6040986793956 6158821386816 6264727045584 6417525266208 7047817926282 7159688052096 7219715924484 7308848219848 7334314589952 8054649058608 8211761849088 8222454247329 8251103913696 8352969394112 8556700354944 9397090568376 9429833044224 9626287899312 10571726889423 10739532078144 10963272329772 11001471884928 12081973587912 12317642773632 12529454091168 12835050532416 14095635852564 14319376104192 14439431848968 14617696439696 16109298117216 16444908494658 16502207827392 16705938788224 17113400709888 18794181136752 19252575798624 21143453778846 21479064156288 21926544659544 22002943769856 24163947175824 24635285547264 24667362741987 25058908182336 25670101064832 28191271705128 28878863697936 29235392879392 32218596234432 32889816989316 33004415654784 33411877576448 37588362273504 38505151597248 42286907557692 42958128312576 43853089319088 48327894351648 49334725483974 50117816364672 51340202129664 56382543410256 57757727395872 58470785758784 64437192468864 65779633978632 66008831309568 74002088225961 75176724547008 77010303194496 84573815115384 87706178638176 96655788703296 98669450967948 100235632729344 112765086820512 115515454791744 116941571517568 128874384937728 131559267957264 148004176451922 150353449094016 154020606388992 169147630230768 175412357276352 193311577406592 197338901935896 225530173641024 231030909583488 233883143035136 263118535914528 296008352903844 300706898188032 338295260461536 350824714552704 386623154813184 394677803871792 451060347282048 462061819166976 526237071829056 592016705807688 676590520923072 701649429105408 789355607743584 902120694564096 1052474143658112 1184033411615376 1353181041846144 1578711215487168 2104948287316224 2368066823230752 2706362083692288 3157422430974336 4736133646461504 6314844861948672 9472267292923008 18944534585846016
• Sum of all divisors σ(n): 67402275055398360
• Sum of proper divisors (its aliquot sum) s(n): 48457740469552344
• 18944534585846016 is an abundant number, because the sum of its proper divisors (48457740469552344) is greater than itself. Its abundance is 29513205883706328

Bases of 18944534585846016

• Binary: 1000011010011011111010000101110011011001010100100000000₂
• Hexadecimal: 0x434DF42E6CA900
• Base-36: 56J9Z1J0W00

Squares and roots of 18944534585846016

• 18944534585846016 squared (18944534585846016²) is 358895390674315880968642463072256
• 18944534585846016 cubed (18944534585846016³) is 6799106141330294921061912466525506168012297732096
• The square root of 18944534585846016 is 137639146.2696787291
• The cube root of 18944534585846016 is 266580.2556512169

Scales and comparisons

• 18,944,534,585,846,016 seconds is equal to 602,377,600 years, 27 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 18,944,534,585,846,016 would take you about one billion, eight hundred seven million, one hundred thirty-two thousand, eight hundred one 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 18944534585846016 cubic inches would be around 22215 feet tall.

Recreational maths with 18944534585846016

• 18944534585846016 backwards is 61064858543544981
• 18944534585846016 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 18944534585846016's digits is 81
• More coming soon!