20344640918313600
20,344,640,918,313,600 is an even composite number composed of five prime numbers multiplied together.
20344640918313600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 20344640918313600:
27 × 33 × 52 × 7 × 33638625857
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 33638625857)See below for interesting mathematical facts about the number 20344640918313600 from the Numbermatics database.
Names of 20344640918313600
- Cardinal: 20344640918313600 can be written as Twenty quadrillion, three hundred forty-four trillion, six hundred forty billion, nine hundred eighteen million, three hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 2.03446409183136 × 1016
Factors of 20344640918313600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 33638625874
Divisors of 20344640918313600
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 480 504 525 540 560 576 600 630 640 672 675 700 720 756 800 840 864 896 900 945 960 1008 1050 1080 1120 1152 1200 1260 1344 1350 1400 1440 1512 1575 1600 1680 1728 1800 1890 1920 2016 2100 2160 2240 2400 2520 2688 2700 2800 2880 3024 3150 3200 3360 3456 3600 3780 4032 4200 4320 4480 4725 4800 5040 5400 5600 5760 6048 6300 6720 7200 7560 8064 8400 8640 9450 9600 10080 10800 11200 12096 12600 13440 14400 15120 16800 17280 18900 20160 21600 22400 24192 25200 28800 30240 33600 37800 40320 43200 50400 60480 67200 75600 86400 100800 120960 151200 201600 302400 604800 33638625857 67277251714 100915877571 134554503428 168193129285 201831755142 235470380999 269109006856 302747632713 336386258570 403663510284 470940761998 504579387855 538218013712 605495265426 672772517140 706411142997 807327020568 840965646425 908242898139 941881523996 1009158775710 1076436027424 1177351904995 1210990530852 1345545034280 1412822285994 1513738163565 1614654041136 1681931292850 1816485796278 1883763047992 2018317551420 2119233428991 2152872054848 2354703809990 2421981061704 2522896939275 2691090068560 2825644571988 3027476327130 3229308082272 3363862585700 3532055714985 3632971592556 3767526095984 4036635102840 4238466857982 4305744109696 4541214490695 4709407619980 4843962123408 5045793878550 5382180137120 5651289143976 5886759524975 6054952654260 6357700286973 6458616164544 6727725171400 7064111429970 7265943185112 7535052191968 7568690817825 8073270205680 8476933715964 9082428981390 9418815239960 9687924246816 10091587757100 10596167144955 10764360274240 11302578287952 11773519049950 12109905308520 12715400573946 12917232329088 13455450342800 14128222859940 14531886370224 15070104383936 15137381635650 16146540411360 16953867431928 17660278574925 18164857962780 18837630479920 19375848493632 20183175514200 21192334289910 21528720548480 22605156575904 22706072453475 23547038099900 24219810617040 25430801147892 26910900685600 28256445719880 29063772740448 30140208767872 30274763271300 31788501434865 32293080822720 33907734863856 35320557149850 36329715925560 37675260959840 38751696987264 40366351028400 42384668579820 45210313151808 45412144906950 47094076199800 48439621234080 50861602295784 52980835724775 53821801371200 56512891439760 58127545480896 60549526542600 63577002869730 64586161645440 67815469727712 70641114299700 72659431851120 75350521919680 80732702056800 84769337159640 90420626303616 90824289813900 94188152399600 96879242468160 101723204591568 105961671449550 107643602742400 113025782879520 116255090961792 121099053085200 127154005739460 135630939455424 141282228599400 145318863702240 150701043839360 158942507174325 161465404113600 169538674319280 181648579627800 188376304799200 193758484936320 203446409183136 211923342899100 226051565759040 242198106170400 254308011478920 271261878910848 282564457198800 290637727404480 317885014348650 322930808227200 339077348638560 363297159255600 376752609598400 406892818366272 423846685798200 452103131518080 484396212340800 508616022957840 565128914397600 581275454808960 635770028697300 678154697277120 726594318511200 753505219196800 813785636732544 847693371596400 968792424681600 1017232045915680 1130257828795200 1271540057394600 1356309394554240 1453188637022400 1695386743192800 2034464091831360 2260515657590400 2543080114789200 2906377274044800 3390773486385600 4068928183662720 5086160229578400 6781546972771200 10172320459156800 20344640918313600
- Sum of all divisors σ(n): 85092267970396800
- Sum of proper divisors (its aliquot sum) s(n): 64747627052083200
- 20344640918313600 is an abundant number, because the sum of its proper divisors (64747627052083200) is greater than itself. Its abundance is 44402986133769600
Bases of 20344640918313600
- Binary: 10010000100011101010111110101110000010011011010100000002
- Hexadecimal: 0x484757D704DA80
- Base-36: 5KBKN0FP9C0
Squares and roots of 20344640918313600
- 20344640918313600 squared (203446409183136002) is 413904414095120041507867944960000
- 20344640918313600 cubed (203446409183136003) is 8420736679270195564843058256990655260819456000000
-
The
square root of 20344640918313600 is 142634641.3684754213 -
The
cube root of 20344640918313600 is 272992.0561867719
Scales and comparisons
How big is 20344640918313600?- 20,344,640,918,313,600 seconds is equal to 646,896,651 years, 5 weeks.
-
To count from 1 to 20,344,640,918,313,600 would take you about one billion, nine hundred forty million, six hundred eighty-nine thousand, nine hundred fifty-three 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 20344640918313600 cubic inches would be around 22749.3 feet tall.
Recreational maths with 20344640918313600
- 20344640918313600 backwards is 00631381904644302
- 20344640918313600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20344640918313600's digits is 54
- More coming soon!
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