993072243041926656000
993,072,243,041,926,656,000 is an even composite number composed of six prime numbers multiplied together.
993072243041926656000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 993072243041926656000:
212 × 3 × 53 × 7 × 61 × 1514125077823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 61 × 1514125077823)See below for interesting mathematical facts about the number 993072243041926656000 from the Numbermatics database.
Names of 993072243041926656000
- Cardinal: 993072243041926656000 can be written as Nine hundred ninety-three quintillion, seventy-two quadrillion, two hundred forty-three trillion, forty-one billion, nine hundred twenty-six million, six hundred fifty-six thousand.
Scientific notation
- Scientific notation: 9.93072243041926656 × 1020
Factors of 993072243041926656000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 1514125077901
Divisors of 993072243041926656000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 61 64 70 75 80 84 96 100 105 112 120 122 125 128 140 150 160 168 175 183 192 200 210 224 240 244 250 256 280 300 305 320 336 350 366 375 384 400 420 427 448 480 488 500 512 525 560 600 610 640 672 700 732 750 768 800 840 854 875 896 915 960 976 1000 1024 1050 1120 1200 1220 1280 1281 1344 1400 1464 1500 1525 1536 1600 1680 1708 1750 1792 1830 1920 1952 2000 2048 2100 2135 2240 2400 2440 2560 2562 2625 2688 2800 2928 3000 3050 3072 3200 3360 3416 3500 3584 3660 3840 3904 4000 4096 4200 4270 4480 4575 4800 4880 5120 5124 5250 5376 5600 5856 6000 6100 6144 6400 6405 6720 6832 7000 7168 7320 7625 7680 7808 8000 8400 8540 8960 9150 9600 9760 10240 10248 10500 10675 10752 11200 11712 12000 12200 12288 12800 12810 13440 13664 14000 14336 14640 15250 15360 15616 16000 16800 17080 17920 18300 19200 19520 20480 20496 21000 21350 21504 22400 22875 23424 24000 24400 25600 25620 26880 27328 28000 28672 29280 30500 30720 31232 32000 32025 33600 34160 35840 36600 38400 39040 40992 42000 42700 43008 44800 45750 46848 48000 48800 51200 51240 53375 53760 54656 56000 58560 61000 61440 62464 64000 64050 67200 68320 71680 73200 76800 78080 81984 84000 85400 86016 89600 91500 93696 96000 97600 102400 102480 106750 107520 109312 112000 117120 122000 124928 128000 128100 134400 136640 143360 146400 153600 156160 160125 163968 168000 170800 179200 183000 187392 192000 195200 204960 213500 215040 218624 224000 234240 244000 249856 256000 256200 268800 273280 292800 307200 312320 320250 327936 336000 341600 358400 366000 374784 384000 390400 409920 427000 430080 437248 448000 468480 488000 512000 512400 537600 546560 585600 624640 640500 655872 672000 683200 716800 732000 749568 768000 780800 819840 854000 874496 896000 936960 976000 1024800 1075200 1093120 1171200 1249280 1281000 1311744 1344000 1366400 1464000 1536000 1561600 1639680 1708000 1748992 1792000 1873920 1952000 2049600 2150400 2186240 2342400 2562000 2623488 2688000 2732800 2928000 3123200 3279360 3416000 3584000 3747840 3904000 4099200 4372480 4684800 5124000 5246976 5376000 5465600 5856000 6246400 6558720 6832000 7808000 8198400 8744960 9369600 10248000 10752000 10931200 11712000 13117440 13664000 15616000 16396800 18739200 20496000 21862400 23424000 26234880 27328000 31232000 32793600 40992000 43724800 46848000 54656000 65587200 81984000 93696000 109312000 131174400 163968000 218624000 327936000 655872000 1514125077823 3028250155646 4542375233469 6056500311292 7570625389115 9084750466938 10598875544761 12113000622584 15141250778230 18169500933876 21197751089522 22711876167345 24226001245168 30282501556460 31796626634283 36339001867752 37853126945575 42395502179044 45423752334690 48452002490336 52994377723805 60565003112920 63593253268566 72678003735504 75706253891150 84791004358088 90847504669380 92361629747203 96904004980672 105988755447610 113559380836725 121130006225840 127186506537132 145356007471008 151412507782300 158983133171415 169582008716176 181695009338760 184723259494406 189265634727875 193808009961344 211977510895220 227118761673450 242260012451680 254373013074264 264971888619025 277084889241609 290712014942016 302825015564600 317966266342830 339164017432352 363390018677520 369446518988812 378531269455750 387616019922688 423955021790440 454237523346900 461808148736015 484520024903360 508746026148528 529943777238050 554169778483218 567796904183625 581424029884032 605650031129200 635932532685660 646531408230421 678328034864704 726780037355040 738893037977624 757062538911500 775232039845376 794915665857075 847910043580880 908475046693800 923616297472030 969040049806720 1017492052297056 1059887554476100 1108339556966436 1135593808367250 1162848059768064 1211300062258400 1271865065371320 1293062816460842 1324859443095125 1356656069729408 1385424446208045 1453560074710080 1477786075955248 1514125077823000 1550464079690752 1589831331714150 1695820087161760 1816950093387600 1847232594944060 1938080099613440 1939594224691263 2034984104594112 2119775108952200 2216679113932872 2271187616734500 2309040743680075 2325696119536128 2422600124516800 2543730130742640 2586125632921684 2649718886190250 2713312139458816 2770848892416090 2907120149420160 2955572151910496 3028250155646000 3100928159381504 3179662663428300 3232657041152105 3391640174323520 3633900186775200 3694465189888120 3876160199226880 3879188449382526 3974578329285375 4069968209188224 4239550217904400 4433358227865744 4542375233469000 4618081487360150 4651392239072256 4845200249033600 5087460261485280 5172251265843368 5299437772380500 5426624278917632 5541697784832180 5814240298840320 5911144303820992 6056500311292000 6201856318763008 6359325326856600 6465314082304210 6783280348647040 6927122231040225 7267800373550400 7388930379776240 7752320398453760 7758376898765052 7949156658570750 8139936418376448 8479100435808800 8866716455731488 9084750466938000 9236162974720300 9302784478144512 9690400498067200 9697971123456315 10174920522970560 10344502531686736 10598875544761000 10853248557835264 11083395569664360 11545203718400375 11628480597680640 11822288607641984 12113000622584000 12718650653713200 12930628164608420 13566560697294080 13854244462080450 14535600747100800 14777860759552480 15504640796907520 15516753797530104 15898313317141500 16163285205760525 16279872836752896 16958200871617600 17733432911462976 18169500933876000 18472325949440600 18605568956289024 19380800996134400 19395942246912630 20349841045941120 20689005063373472 21197751089522000 21706497115670528 22166791139328720 23090407436800750 23256961195361280 23644577215283968 24226001245168000 25437301307426400 25861256329216840 27133121394588160 27708488924160900 29071201494201600 29555721519104960 31009281593815040 31033507595060208 31796626634283000 32326570411521050 32559745673505792 33916401743235200 34635611155201125 35466865822925952 36339001867752000 36944651898881200 38761601992268800 38791884493825260 40699682091882240 41378010126746944 42395502179044000 43412994231341056 44333582278657440 46180814873601500 46513922390722560 47289154430567936 48452002490336000 48489855617281575 50874602614852800 51722512658433680 54266242789176320 55416977848321800 58142402988403200 59111443038209920 62067015190120416 63593253268566000 64653140823042100 65119491347011584 67832803486470400 69271222310402250 70933731645851904 72678003735504000 73889303797762400 77523203984537600 77583768987650520 80816426028802625 81399364183764480 82756020253493888 84791004358088000 88667164557314880 92361629747203000 93027844781445120 94578308861135872 96904004980672000 96979711234563150 101749205229705600 103445025316867360 108532485578352640 110833955696643600 116284805976806400 118222886076419840 124134030380240832 127186506537132000 129306281646084200 130238982694023168 135665606972940800 138542444620804500 141867463291703808 145356007471008000 147778607595524800 155046407969075200 155167537975301040 161632852057605250 162798728367528960 165512040506987776 169582008716176000 177334329114629760 184723259494406000 189156617722271744 193808009961344000 193959422469126300 203498410459411200 206890050633734720 217064971156705280 221667911393287200 232569611953612800 236445772152839680 242449278086407875 248268060760481664 254373013074264000 258612563292168400 271331213945881600 277084889241609000 283734926583407616 290712014942016000 295557215191049600 310335075950602080 323265704115210500 325597456735057920 331024081013975552 339164017432352000 354668658229259520 369446518988812000 378313235444543488 387616019922688000 387918844938252600 406996820918822400 413780101267469440 443335822786574400 465139223907225600 472891544305679360 484898556172815750 496536121520963328 508746026148528000 517225126584336800 542662427891763200 554169778483218000 567469853166815232 581424029884032000 591114430382099200 620670151901204160 646531408230421000 651194913470115840 662048162027951104 678328034864704000 709337316458519040 738893037977624000 775232039845376000 775837689876505200 813993641837644800 827560202534938880 886671645573148800 945783088611358720 969797112345631500 993072243041926656 1017492052297056000 1034450253168673600 1085324855783526400 1108339556966436000 1134939706333630464 1162848059768064000 1182228860764198400 1241340303802408320 1293062816460842000 1324096324055902208 1356656069729408000 1418674632917038080 1477786075955248000 1551675379753010400 1627987283675289600 1655120405069877760 1773343291146297600 1891566177222717440 1939594224691263000 1986144486083853312 2034984104594112000 2068900506337347200 2216679113932872000 2325696119536128000 2364457721528396800 2482680607604816640 2586125632921684000 2648192648111804416 2713312139458816000 2837349265834076160 2955572151910496000 3103350759506020800 3255974567350579200 3310240810139755520 3546686582292595200 3879188449382526000 3972288972167706624 4069968209188224000 4137801012674694400 4433358227865744000 4728915443056793600 4965361215209633280 5172251265843368000 5426624278917632000 5674698531668152320 5911144303820992000 6206701519012041600 6620481620279511040 7093373164585190400 7758376898765052000 7944577944335413248 8139936418376448000 8275602025349388800 8866716455731488000 9457830886113587200 9930722430419266560 10344502531686736000 11822288607641984000 12413403038024083200 13240963240559022080 14186746329170380800 15516753797530104000 16279872836752896000 16551204050698777600 17733432911462976000 19861444860838533120 20689005063373472000 23644577215283968000 24826806076048166400 28373492658340761600 31033507595060208000 33102408101397555200 35466865822925952000 39722889721677066240 41378010126746944000 47289154430567936000 49653612152096332800 62067015190120416000 66204816202795110400 70933731645851904000 82756020253493888000 99307224304192665600 124134030380240832000 141867463291703808000 165512040506987776000 198614448608385331200 248268060760481664000 331024081013975552000 496536121520963328000 993072243041926656000
- Sum of all divisors σ(n): 3838530048399300673536
- Sum of proper divisors (its aliquot sum) s(n): 2845457805357374017536
- 993072243041926656000 is an abundant number, because the sum of its proper divisors (2845457805357374017536) is greater than itself. Its abundance is 1852385562315447361536
Bases of 993072243041926656000
- Binary: 11010111010101101001010101011110000110001111100110110000110000000000002
- Hexadecimal: 0x35D5A557863E6C3000
- Base-36: 5TKWAY8J3EFU2O
Squares and roots of 993072243041926656000
- 993072243041926656000 squared (9930722430419266560002) is 986192479900323445632576660483342336000000
- 993072243041926656000 cubed (9930722430419266560003) is 979360378085694373434399233489413981786093535851708416000000000
-
The
square root of 993072243041926656000 is 31513048774.1495214409 -
The
cube root of 993072243041926656000 is 9976853.9441505023
Scales and comparisons
How big is 993072243041926656000?- 993,072,243,041,926,656,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 993,072,243,041,926,656,000 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 993072243041926656000 cubic inches would be around 831404.5 feet tall.
Recreational maths with 993072243041926656000
- 993072243041926656000 backwards is 000656629140342270399
- The number of decimal digits it has is: 21
- The sum of 993072243041926656000's digits is 78
- More coming soon!
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The information we have on file for 993072243041926656000 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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