56748218763351139200
56,748,218,763,351,139,200 is an even composite number composed of five prime numbers multiplied together.
56748218763351139200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 56748218763351139200:
27 × 32 × 52 × 11 × 179129478419669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 179129478419669)See below for interesting mathematical facts about the number 56748218763351139200 from the Numbermatics database.
Names of 56748218763351139200
- Cardinal: 56748218763351139200 can be written as Fifty-six quintillion, seven hundred forty-eight quadrillion, two hundred eighteen trillion, seven hundred sixty-three billion, three hundred fifty-one million, one hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 5.67482187633511392 × 1019
Factors of 56748218763351139200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 179129478419690
Divisors of 56748218763351139200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 128 132 144 150 160 165 176 180 192 198 200 220 225 240 264 275 288 300 320 330 352 360 384 396 400 440 450 480 495 528 550 576 600 640 660 704 720 792 800 825 880 900 960 990 1056 1100 1152 1200 1320 1408 1440 1584 1600 1650 1760 1800 1920 1980 2112 2200 2400 2475 2640 2880 3168 3200 3300 3520 3600 3960 4224 4400 4800 4950 5280 5760 6336 6600 7040 7200 7920 8800 9600 9900 10560 12672 13200 14400 15840 17600 19800 21120 26400 28800 31680 35200 39600 52800 63360 79200 105600 158400 316800 179129478419669 358258956839338 537388435259007 716517913678676 895647392098345 1074776870518014 1433035827357352 1612165305777021 1791294784196690 1970424262616359 2149553741036028 2686942176295035 2866071654714704 3224330611554042 3582589568393380 3940848525232718 4299107482072056 4478236960491725 5373884352590070 5732143309429408 5911272787849077 6448661223108084 7165179136786760 7881697050465436 8060826528885105 8598214964144112 8956473920983450 9852121313081795 10747768705180140 11464286618858816 11822545575698154 12897322446216168 13434710881475175 14330358273573520 15763394100930872 16121653057770210 17196429928288224 17733818363547231 17912947841966900 19704242626163590 21495537410360280 22928573237717632 23645091151396308 25794644892432336 26869421762950350 28660716547147040 29556363939245385 31526788201861744 32243306115540420 34392859856576448 35467636727094462 35825895683933800 39408485252327180 40304132644425525 42991074820720560 47290182302792616 49260606565408975 51589289784864672 53738843525900700 57321433094294080 59112727878490770 63053576403723488 64486612231080840 68785719713152896 70935273454188924 71651791367867600 78816970504654360 80608265288851050 85982149641441120 88669091817736155 94580364605585232 98521213130817950 103178579569729344 107477687051801400 114642866188588160 118225455756981540 126107152807446976 128973224462161680 141870546908377848 143303582735735200 147781819696226925 157633941009308720 161216530577702100 171964299282882240 177338183635472310 189160729211170464 197042426261635900 206357159139458688 214955374103602800 236450911513963080 252214305614893952 257946448924323360 283741093816755696 286607165471470400 295563639392453850 315267882018617440 322433061155404200 343928598565764480 354676367270944620 378321458422340928 394084852523271800 429910748207205600 443345459088680775 472901823027926160 515892897848646720 567482187633511392 573214330942940800 591127278784907700 630535764037234880 644866122310808400 709352734541889240 756642916844681856 788169705046543600 859821496414411200 886690918177361550 945803646055852320 1031785795697293440 1134964375267022784 1182254557569815400 1261071528074469760 1289732244621616800 1418705469083778480 1576339410093087200 1719642992828822400 1773381836354723100 1891607292111704640 2269928750534045568 2364509115139630800 2579464489243233600 2837410938167556960 3152678820186174400 3546763672709446200 3783214584223409280 4729018230279261600 5158928978486467200 5674821876335113920 6305357640372348800 7093527345418892400 9458036460558523200 11349643752670227840 14187054690837784800 18916072921117046400 28374109381675569600 56748218763351139200
- Sum of all divisors σ(n): 220898890197568650600
- Sum of proper divisors (its aliquot sum) s(n): 164150671434217511400
- 56748218763351139200 is an abundant number, because the sum of its proper divisors (164150671434217511400) is greater than itself. Its abundance is 107402452670866372200
Bases of 56748218763351139200
- Binary: 1100010011100010100010110001001100111000011011001110100011100000002
- Hexadecimal: 0x3138A2C4CE1B3A380
- Base-36: BZ59ONUJYEOW0
Squares and roots of 56748218763351139200
- 56748218763351139200 squared (567482187633511392002) is 3220360332813158298444852917937776640000
- 56748218763351139200 cubed (567482187633511392003) is 182749712663299389076073102232881122486273432859148288000000
-
The
square root of 56748218763351139200 is 7533141360.9032413537 -
The
cube root of 56748218763351139200 is 3842826.2153874739
Scales and comparisons
How big is 56748218763351139200?- 56,748,218,763,351,139,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 56,748,218,763,351,139,200 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 56748218763351139200 cubic inches would be around 320235.5 feet tall.
Recreational maths with 56748218763351139200
- 56748218763351139200 backwards is 00293115336781284765
- The number of decimal digits it has is: 20
- The sum of 56748218763351139200's digits is 81
- More coming soon!
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