12189833432692800

Names of 12189833432692800

• Cardinal: 12189833432692800 can be written as Twelve quadrillion, one hundred eighty-nine trillion, eight hundred thirty-three billion, four hundred thirty-two million, six hundred ninety-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.21898334326928 × 10¹⁶

Factors of 12189833432692800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 21380

Divisors of 12189833432692800

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 120 141 150 160 188 192 200 235 240 282 300 320 376 400 470 480 503 564 600 705 752 800 940 960 1006 1128 1175 1200 1410 1504 1509 1600 1880 2012 2256 2350 2400 2515 2820 3008 3018 3525 3760 4024 4512 4700 4800 5030 5640 6036 7050 7520 7545 8048 9024 9400 9437 10060 11280 11383 12072 12575 14100 15040 15090 16096 18800 18874 20120 22560 22766 23641 24144 25150 28200 28311 30180 32192 34149 37600 37725 37748 40240 45120 45532 47185 47282 48288 50300 56400 56622 56915 60360 68298 70923 75200 75450 75496 80480 91064 94370 94564 96576 100600 112800 113244 113830 118205 120720 136596 141555 141846 150900 150992 160960 170745 182128 188740 189128 201200 225600 226488 227660 235925 236410 241440 273192 283110 283692 284575 301800 301984 341490 354615 364256 377480 378256 402400 443539 452976 455320 471850 472820 482880 535001 546384 566220 567384 569150 591025 603600 603968 682980 707775 709230 728512 754960 756512 804800 853725 887078 905952 910640 943700 945640 1070002 1092768 1132440 1134768 1138300 1182050 1207200 1330617 1365960 1415550 1418460 1509920 1513024 1605003 1707450 1773075 1774156 1811904 1821280 1887400 1891280 2140004 2185536 2217695 2264880 2269536 2276600 2364100 2414400 2661234 2675005 2731920 2831100 2836920 3019840 3210006 3414900 3546150 3548312 3642560 3774800 3782560 4280008 4435390 4529760 4539072 4553200 4728200 4746811 5322468 5350010 5463840 5662200 5673840 5725649 6420012 6653085 6829800 7092300 7096624 7549600 7565120 8025015 8560016 8870780 9059520 9106400 9456400 9493622 10644936 10700020 10927680 11088475 11324400 11347680 11451298 12840024 13306170 13375025 13659600 14184600 14193248 14240433 15099200 16050030 17120032 17176947 17741560 18212800 18912800 18987244 21289872 21400040 22176950 22648800 22695360 22902596 23734055 25680048 26612340 26750050 27319200 28369200 28386496 28480866 28628245 32100060 33265425 34240064 34353894 35483120 37825600 37974488 40125075 42579744 42800080 44353900 45297600 45805192 47468110 51360096 53224680 53500100 54638400 56738400 56961732 57256490 64200120 66530850 68707788 70966240 71202165 75948976 80250150 85159488 85600160 85884735 88707800 91610384 94936220 102720192 106449360 107000200 107421371 113476800 113923464 114512980 118670275 128400240 133061700 137415576 141932480 142404330 143141225 151897952 160500300 171200320 171769470 177415600 183220768 189872440 212898720 214000400 214842742 223100117 227846928 229025960 237340550 256800480 266123400 269105503 274831152 284808660 286282450 303795904 321000600 322264113 343538940 354831200 356010825 366441536 379744880 425797440 428000800 429423675 429685484 446200234 455693856 458051920 474681100 513600960 532246800 537106855 538211006 549662304 569617320 572564900 642001200 644528226 669300351 687077880 709662400 712021650 759489760 807316509 856001600 858847350 859370968 892400468 911387712 916103840 949362200 1064493600 1074213710 1076422012 1099324608 1115500585 1139234640 1145129800 1284002400 1289056452 1338600702 1345527515 1374155760 1424043300 1518979520 1611320565 1614633018 1717694700 1718741936 1784800936 1832207680 1898724400 2128987200 2148427420 2152844024 2231001170 2278469280 2290259600 2568004800 2578112904 2677201404 2685534275 2691055030 2748311520 2848086600 3222641130 3229266036 3346501755 3435389400 3437483872 3569601872 3797448800 4036582545 4296854840 4305688048 4462002340 4556938560 4580519200 5048804437 5156225808 5354402808 5371068550 5382110060 5496623040 5577502925 5696173200 6445282260 6458532072 6693003510 6727637575 6870778800 6874967744 7139203744 7594897600 8056602825 8073165090 8593709680 8611376096 8924004680 9161038400 10097608874 10312451616 10708805616 10742137100 10764220120 11155005850 11392346400 12890564520 12917064144 13386007020 13455275150 13741557600 14278407488 15146413311 16113205650 16146330180 16732508775 17187419360 17222752192 17848009360 20182912725 20195217748 20624903232 21417611232 21484274200 21528440240 22310011700 22784692800 25244022185 25781129040 25834128288 26772014040 26910550300 27483115200 30292826622 32226411300 32292660360 33465017550 34374838720 35696018720 40365825450 40390435496 42835222464 42968548400 43056880480 44620023400 50488044370 51562258080 51668256576 53544028080 53821100600 54032949613 60585653244 64452822600 64585320720 66930035100 71392037440 75732066555 80731650900 80780870992 85937096800 86113760960 89240046800 100976088740 103124516160 107088056160 107642201200 108065899226 121171306488 126220110925 128905645200 129170641440 133860070200 151464133110 161463301800 161561741984 162098848839 171874193600 178480093600 201952177480 214176112320 215284402400 216131798452 242342612976 252440221850 257811290400 258341282880 267720140400 270164748065 302928266220 322926603600 323123483968 324197697678 356960187200 378660332775 403904354960 430568804800 432263596904 484685225952 504880443700 515622580800 535440280800 540329496130 605856532440 645853207200 648395395356 757320665550 807808709920 810494244195 864527193808 969370451904 1009760887400 1070880561600 1080658992260 1211713064880 1291706414400 1296790790712 1350823740325 1514641331100 1615617419840 1620988488390 1729054387616 2019521774800 2161317984520 2423426129760 2539548631811 2593581581424 2701647480650 3029282662200 3241976976780 3458108775232 4039043549600 4052471220975 4322635969040 4846852259520 5079097263622 5187163162848 5403294961300 6058565324400 6483953953560 7618645895433 8078087099200 8104942441950 8645271938080 10158194527244 10374326325696 10806589922600 12117130648800 12697743159055 12967907907120 15237291790866 16209884883900 17290543876160 20316389054488 21613179845200 24234261297600 25395486318110 25935815814240 30474583581732 32419769767800 38093229477165 40632778108976 43226359690400 50790972636220 51871631628480 60949167163464 63488715795275 64839539535600 76186458954330 81265556217952 86452719380800 101581945272440 121898334326928 126977431590550 129679079071200 152372917908660 162531112435904 190466147385825 203163890544880 243796668653856 253954863181100 259358158142400 304745835817320 380932294771650 406327781089760 487593337307712 507909726362200 609491671634640 761864589543300 812655562179520 1015819452724400 1218983343269280 1523729179086600 2031638905448800 2437966686538560 3047458358173200 4063277810897600 6094916716346400 12189833432692800
• Sum of all divisors σ(n): 40932855281590272
• Sum of proper divisors (its aliquot sum) s(n): 28743021848897472
• 12189833432692800 is an abundant number, because the sum of its proper divisors (28743021848897472) is greater than itself. Its abundance is 16553188416204672

Bases of 12189833432692800

• Binary: 101011010011101001011011000011101000000111100001000000₂
• Hexadecimal: 0x2B4E96C3A07840
• Base-36: 3C0XO65NI2O

Squares and roots of 12189833432692800

• 12189833432692800 squared (12189833432692800²) is 148592039116795131827859171840000
• 12189833432692800 cubed (12189833432692800³) is 1811312206257905615350200669213405789130752000000
• The square root of 12189833432692800 is 110407578.6922836199
• The cube root of 12189833432692800 is 230143.7880527231

Scales and comparisons

• 12,189,833,432,692,800 seconds is equal to 387,598,997 years, 27 weeks, 3 days, 14 hours, 40 minutes.
• To count from 1 to 12,189,833,432,692,800 would take you about one billion, one hundred sixty-two million, seven hundred ninety-six thousand, nine hundred ninety-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 12189833432692800 cubic inches would be around 19178.6 feet tall.

Recreational maths with 12189833432692800

• 12189833432692800 backwards is 00829623433898121
• The number of decimal digits it has is: 17
• The sum of 12189833432692800's digits is 69
• More coming soon!