6401983407853354428800
6,401,983,407,853,354,428,800 is an even composite number composed of six prime numbers multiplied together.
6401983407853354428800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 6401983407853354428800:
27 × 52 × 72 × 11 × 7481 × 496153599001
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 7481 × 496153599001)See below for interesting mathematical facts about the number 6401983407853354428800 from the Numbermatics database.
Names of 6401983407853354428800
- Cardinal: 6401983407853354428800 can be written as Six sextillion, four hundred one quintillion, nine hundred eighty-three quadrillion, four hundred seven trillion, eight hundred fifty-three billion, three hundred fifty-four million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 6.4019834078533544288 × 1021
Factors of 6401983407853354428800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 496153606507
Divisors of 6401983407853354428800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 128 140 154 160 175 176 196 200 220 224 245 275 280 308 320 350 352 385 392 400 440 448 490 539 550 560 616 640 700 704 770 784 800 880 896 980 1078 1100 1120 1225 1232 1400 1408 1540 1568 1600 1760 1925 1960 2156 2200 2240 2450 2464 2695 2800 3080 3136 3200 3520 3850 3920 4312 4400 4480 4900 4928 5390 5600 6160 6272 7040 7481 7700 7840 8624 8800 9800 9856 10780 11200 12320 13475 14962 15400 15680 17248 17600 19600 21560 22400 24640 26950 29924 30800 31360 34496 35200 37405 39200 43120 49280 52367 53900 59848 61600 68992 74810 78400 82291 86240 104734 107800 119696 123200 149620 156800 164582 172480 187025 209468 215600 239392 246400 261835 299240 329164 344960 366569 374050 411455 418936 431200 478784 523670 576037 598480 658328 733138 748100 822910 837872 862400 957568 1047340 1152074 1196960 1309175 1316656 1466276 1496200 1645820 1675744 1724800 1832845 2057275 2094680 2304148 2393920 2618350 2633312 2880185 2932552 2992400 3291640 3351488 3665690 4032259 4114550 4189360 4608296 4787840 5236700 5266624 5760370 5865104 5984800 6583280 6702976 7331380 8064518 8229100 8378720 9164225 9216592 10473400 10533248 11520740 11730208 11969600 13166560 14400925 14662760 16129036 16458200 16757440 18328450 18433184 20161295 20946800 23041480 23460416 23939200 26333120 28801850 29325520 32258072 32916400 33514880 36656900 36866368 40322590 41893600 46082960 46920832 52666240 57603700 58651040 64516144 65832800 73313800 73732736 80645180 83787200 92165920 100806475 115207400 117302080 129032288 131665600 146627600 161290360 167574400 184331840 201612950 230414800 234604160 258064576 263331200 293255200 322580720 368663680 403225900 460829600 516129152 586510400 645161440 806451800 921659200 1173020800 1290322880 1612903600 1843318400 2580645760 3225807200 6451614400 12903228800 496153599001 992307198002 1984614396004 2480767995005 3473075193007 3969228792008 4961535990010 5457689589011 6946150386014 7938457584016 9923071980020 10915379178022 12403839975025 13892300772028 15876915168032 17365375965035 19846143960040 21830758356044 24311526351049 24807679950050 27288447945055 27784601544056 31753830336064 34730751930070 38203827123077 39692287920080 43661516712088 48623052702098 49615359900100 54576895890110 55569203088112 63507660672128 69461503860140 76407654246154 79384575840160 86826879825175 87323033424176 97246105404196 99230719800200 109153791780220 111138406176224 121557631755245 136442239725275 138923007720280 152815308492308 158769151680320 173653759650350 174646066848352 191019135615385 194492210808392 198461439600400 218307583560440 222276812352448 243115263510490 267426789861539 272884479450550 277846015440560 305630616984616 317538303360640 347307519300700 349292133696704 382038271230770 388984421616784 396922879200800 436615167120880 444553624704896 486230527020980 534853579723078 545768958901100 555692030881120 607788158776225 611261233969232 694615038601400 698584267393408 764076542461540 777968843233568 793845758401600 873230334241760 955095678076925 972461054041960 1069707159446156 1091537917802200 1111384061762240 1215576317552450 1222522467938464 1337133949307695 1389230077202800 1528153084923080 1555937686467136 1587691516803200 1746460668483520 1910191356153850 1944922108083920 2139414318892312 2183075835604400 2222768123524480 2431152635104900 2445044935876928 2674267898615390 2778460154405600 3056306169846160 3111875372934272 3492921336967040 3711725074126481 3820382712307700 3889844216167840 4278828637784624 4366151671208800 4862305270209800 4890089871753856 5348535797230780 5556920308811200 6112612339692320 6685669746538475 7423450148252962 7640765424615400 7779688432335680 8557657275569248 8732303342417600 9724610540419600 10697071594461560 11113840617622400 12225224679384640 13371339493076950 14846900296505924 15281530849230800 15559376864671360 17115314551138496 17464606684835200 18558625370632405 19449221080839200 21394143188923120 24450449358769280 25982075518885367 26742678986153900 29693800593011848 30563061698461600 34230629102276992 37117250741264810 38898442161678400 40828975815391291 42788286377846240 51964151037770734 53485357972307800 59387601186023696 61126123396923200 74234501482529620 77796884323356800 81657951630782582 85576572755692480 92793126853162025 103928302075541468 106970715944615600 118775202372047392 122252246793846400 129910377594426835 148469002965059240 163315903261565164 171153145511384960 181874528632197569 185586253706324050 204144879076956455 207856604151082936 213941431889231200 237550404744094784 259820755188853670 285802830707739037 296938005930118480 326631806523130328 363749057264395138 371172507412648100 408289758153912910 415713208302165872 427882863778462400 475100809488189568 519641510377707340 571605661415478074 593876011860236960 649551887972134175 653263613046260656 727498114528790276 742345014825296200 816579516307825820 831426416604331744 855765727556924800 909372643160987845 1020724395384782275 1039283020755414680 1143211322830956148 1187752023720473920 1299103775944268350 1306527226092521312 1429014153538695185 1454996229057580552 1484690029650592400 1633159032615651640 1662852833208663488 1818745286321975690 2000619814954173259 2041448790769564550 2078566041510829360 2286422645661912296 2375504047440947840 2598207551888536700 2613054452185042624 2858028307077390370 2909992458115161104 2969380059301184800 3266318065231303280 3325705666417326976 3637490572643951380 4001239629908346518 4082897581539129100 4157132083021658720 4546863215804939225 4572845291323824592 5196415103777073400 5226108904370085248 5716056614154780740 5819984916230322208 5938760118602369600 6532636130462606560 7145070767693475925 7274981145287902760 8002479259816693036 8165795163078258200 8314264166043317440 9093726431609878450 9145690582647649184 10003099074770866295 10392830207554146800 11432113228309561480 11639969832460644416 11877520237204739200 13065272260925213120 14290141535386951850 14549962290575805520 16004958519633386072 16331590326156516400 16628528332086634880 18187452863219756900 18291381165295298368 20006198149541732590 20785660415108293600 22864226456619122960 23279939664921288832 26130544521850426240 28580283070773903700 29099924581151611040 32009917039266772144 32663180652313032800 36374905726439513800 36582762330590596736 40012396299083465180 41571320830216587200 45728452913238245920 50015495373854331475 57160566141547807400 58199849162303222080 64019834078533544288 65326361304626065600 72749811452879027600 80024792598166930360 83142641660433174400 91456905826476491840 100030990747708662950 114321132283095614800 116399698324606444160 128039668157067088576 130652722609252131200 145499622905758055200 160049585196333860720 182913811652952983680 200061981495417325900 228642264566191229600 256079336314134177152 290999245811516110400 320099170392667721440 400123962990834651800 457284529132382459200 581998491623032220800 640198340785335442880 800247925981669303600 914569058264764918400 1280396681570670885760 1600495851963338607200 3200991703926677214400 6401983407853354428800
- Sum of all divisors σ(n): 20072054422776691007280
- Sum of proper divisors (its aliquot sum) s(n): 13670071014923336578480
- 6401983407853354428800 is an abundant number, because the sum of its proper divisors (13670071014923336578480) is greater than itself. Its abundance is 7268087607069982149680
Bases of 6401983407853354428800
- Binary: 10101101100001101010111100000011001000111111000111110100100101001100000002
- Hexadecimal: 0x15B0D5E0647E3E92980
- Base-36: 11J39O46MV8ITFK
Squares and roots of 6401983407853354428800
- 6401983407853354428800 squared (64019834078533544288002) is 40985391554429649436663339624352574269440000
- 6401983407853354428800 cubed (64019834078533544288003) is 262387796695831618441420255325118879553729824767587548495872000000
-
The
square root of 6401983407853354428800 is 80012395338.8058144867 -
The
cube root of 6401983407853354428800 is 18568273.0871362559
Scales and comparisons
How big is 6401983407853354428800?- 6,401,983,407,853,354,428,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 6,401,983,407,853,354,428,800 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 6401983407853354428800 cubic inches would be around 1547356.1 feet tall.
Recreational maths with 6401983407853354428800
- 6401983407853354428800 backwards is 0088244533587043891046
- The number of decimal digits it has is: 22
- The sum of 6401983407853354428800's digits is 92
- More coming soon!
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The information we have on file for 6401983407853354428800 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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