21316624916806172800
21,316,624,916,806,172,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 21316624916806172800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
21316624916806172800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 21316624916806172800:
27 × 52 × 7 × 11 × 103 × 839925014059
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 103 × 839925014059)See below for interesting mathematical facts about the number 21316624916806172800 from the Numbermatics database.
Names of 21316624916806172800
- Cardinal: 21316624916806172800 can be written as Twenty-one quintillion, three hundred sixteen quadrillion, six hundred twenty-four trillion, nine hundred sixteen billion, eight hundred six million, one hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 2.13166249168061728 × 1019
Factors of 21316624916806172800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 839925014187
Divisors of 21316624916806172800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 103 110 112 128 140 154 160 175 176 200 206 220 224 275 280 308 320 350 352 385 400 412 440 448 515 550 560 616 640 700 704 721 770 800 824 880 896 1030 1100 1120 1133 1232 1400 1408 1442 1540 1600 1648 1760 1925 2060 2200 2240 2266 2464 2575 2800 2884 3080 3200 3296 3520 3605 3850 4120 4400 4480 4532 4928 5150 5600 5665 5768 6160 6592 7040 7210 7700 7931 8240 8800 9064 9856 10300 11200 11330 11536 12320 13184 14420 15400 15862 16480 17600 18025 18128 20600 22400 22660 23072 24640 28325 28840 30800 31724 32960 35200 36050 36256 39655 41200 45320 46144 49280 56650 57680 61600 63448 65920 72100 72512 79310 82400 90640 92288 113300 115360 123200 126896 144200 145024 158620 164800 181280 198275 226600 230720 246400 253792 288400 317240 329600 362560 396550 453200 461440 507584 576800 634480 725120 793100 906400 1015168 1153600 1268960 1586200 1812800 2307200 2537920 3172400 3625600 5075840 6344800 12689600 25379200 839925014059 1679850028118 3359700056236 4199625070295 5879475098413 6719400112472 8399250140590 9239175154649 11758950196826 13438800224944 16798500281180 18478350309298 20998125351475 23517900393652 26877600449888 29397375492065 33597000562360 36956700618596 41996250702950 46195875773245 47035800787304 53755200899776 58794750984130 64674226082543 67194001124720 73913401237192 83992501405900 86512276448077 92391751546490 94071601574608 107510401799552 117589501968260 129348452165086 134388002249440 146986877460325 147826802474384 167985002811800 173024552896154 184783503092980 188143203149216 230979378866225 235179003936520 258696904330172 268776004498880 293973754920650 295653604948768 323371130412715 335970005623600 346049105792308 369567006185960 376286406298432 432561382240385 461958757732450 470358007873040 517393808660344 537552008997760 587947509841300 591307209897536 605585935136539 646742260825430 671940011247200 692098211584616 739134012371920 752572812596864 865122764480770 923917515464900 940716015746080 951635040928847 1034787617320688 1175895019682600 1182614419795072 1211171870273078 1293484521650860 1343880022494400 1384196423169232 1478268024743840 1616855652063575 1730245528961540 1847835030929800 1881432031492160 1903270081857694 2069575234641376 2162806911201925 2351790039365200 2422343740546156 2586969043301720 2687760044988800 2768392846338464 2956536049487680 3027929675682695 3233711304127150 3460491057923080 3695670061859600 3762864062984320 3806540163715388 4139150469282752 4325613822403850 4703580078730400 4758175204644235 4844687481092312 5173938086603440 5536785692676928 5913072098975360 6055859351365390 6467422608254300 6661445286501929 6920982115846160 7391340123719200 7613080327430776 8278300938565504 8651227644807700 9407160157460800 9516350409288470 9689374962184624 10347876173206880 11073571385353856 12111718702730780 12934845216508600 13322890573003858 13841964231692320 14782680247438400 15139648378413475 15226160654861552 17302455289615400 18814320314921600 19032700818576940 19378749924369248 20695752346413760 23790876023221175 24223437405461560 25869690433017200 26645781146007716 27683928463384640 29565360494876800 30279296756826950 30452321309723104 33307226432509645 34604910579230800 38065401637153880 38757499848738496 41391504692827520 47581752046442350 48446874810923120 51739380866034400 53291562292015432 55367856926769280 60558593513653900 60904642619446208 66614452865019290 69209821158461600 76130803274307760 77514999697476992 95163504092884700 96893749621846240 103478761732068800 106583124584030864 121117187027307800 121809285238892416 133228905730038580 138419642316923200 152261606548615520 166536132162548225 190327008185769400 193787499243692480 206957523464137600 213166249168061728 242234374054615600 266457811460077160 276839284633846400 304523213097231040 333072264325096450 380654016371538800 387574998487384960 426332498336123456 484468748109231200 532915622920154320 609046426194462080 666144528650192900 761308032743077600 852664996672246912 968937496218462400 1065831245840308640 1332289057300385800 1522616065486155200 1937874992436924800 2131662491680617280 2664578114600771600 3045232130972310400 4263324983361234560 5329156229201543200 10658312458403086400 21316624916806172800
- Sum of all divisors σ(n): 66289838645664691200
- Sum of proper divisors (its aliquot sum) s(n): 44973213728858518400
- 21316624916806172800 is an abundant number, because the sum of its proper divisors (44973213728858518400) is greater than itself. Its abundance is 23656588812052345600
Bases of 21316624916806172800
- Binary: 100100111110100111101110101101011111010000111100100000000100000002
- Hexadecimal: 0x127D3DD6BE8790080
- Base-36: 4HYC0VSP4Z2PS
Squares and roots of 21316624916806172800
- 21316624916806172800 squared (213166249168061728002) is 454398497843801773446812884183459840000
- 21316624916806172800 cubed (213166249168061728003) is 9686242341296480869343850366119545134347628972900352000000
-
The
square root of 21316624916806172800 is 4616993060.0777572319 -
The
cube root of 21316624916806172800 is 2772720.8477294953
Scales and comparisons
How big is 21316624916806172800?- 21,316,624,916,806,172,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 21,316,624,916,806,172,800 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 21316624916806172800 cubic inches would be around 231060.1 feet tall.
Recreational maths with 21316624916806172800
- 21316624916806172800 backwards is 00827160861942661312
- The number of decimal digits it has is: 20
- The sum of 21316624916806172800's digits is 73
- More coming soon!
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The information we have on file for 21316624916806172800 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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