40684949025694025472
40,684,949,025,694,025,472 is an even composite number composed of five prime numbers multiplied together.
What does the number 40684949025694025472 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
40684949025694025472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 40684949025694025472:
28 × 34 × 72 × 23 × 1740944298001
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 23 × 1740944298001)See below for interesting mathematical facts about the number 40684949025694025472 from the Numbermatics database.
Names of 40684949025694025472
- Cardinal: 40684949025694025472 can be written as Forty quintillion, six hundred eighty-four quadrillion, nine hundred forty-nine trillion, twenty-five billion, six hundred ninety-four million, twenty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.0684949025694025472 × 1019
Factors of 40684949025694025472
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 1740944298036
Divisors of 40684949025694025472
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 64 69 72 81 84 92 96 98 108 112 126 128 138 144 147 161 162 168 184 189 192 196 207 216 224 252 256 276 288 294 322 324 336 368 378 384 392 414 432 441 448 483 504 552 567 576 588 621 644 648 672 736 756 768 784 828 864 882 896 966 1008 1104 1127 1134 1152 1176 1242 1288 1296 1323 1344 1449 1472 1512 1568 1656 1728 1764 1792 1863 1932 2016 2208 2254 2268 2304 2352 2484 2576 2592 2646 2688 2898 2944 3024 3136 3312 3381 3456 3528 3726 3864 3969 4032 4347 4416 4508 4536 4704 4968 5152 5184 5292 5376 5796 5888 6048 6272 6624 6762 6912 7056 7452 7728 7938 8064 8694 8832 9016 9072 9408 9936 10143 10304 10368 10584 11592 12096 12544 13041 13248 13524 14112 14904 15456 15876 16128 17388 17664 18032 18144 18816 19872 20286 20608 20736 21168 23184 24192 26082 26496 27048 28224 29808 30429 30912 31752 34776 36064 36288 37632 39744 40572 41216 42336 46368 48384 52164 52992 54096 56448 59616 60858 61824 63504 69552 72128 72576 79488 81144 84672 91287 92736 104328 108192 112896 119232 121716 123648 127008 139104 144256 145152 158976 162288 169344 182574 185472 208656 216384 238464 243432 254016 278208 288512 324576 338688 365148 370944 417312 432768 476928 486864 508032 556416 649152 730296 834624 865536 973728 1016064 1112832 1298304 1460592 1669248 1947456 2596608 2921184 3338496 3894912 5842368 7789824 11684736 23369472 1740944298001 3481888596002 5222832894003 6963777192004 10445665788006 12186610086007 13927554384008 15668498682009 20891331576012 24373220172014 27855108768016 31336997364018 36559830258021 40041718854023 41782663152024 47005496046027 48746440344028 55710217536032 62673994728036 73119660516042 80083437708046 83565326304048 85306270602049 94010992092054 97492880688056 109679490774063 111420435072064 120125156562069 125347989456072 141016488138081 146239321032084 160166875416092 167130652608096 170612541204098 188021984184108 194985761376112 219358981548126 222840870144128 240250313124138 250695978912144 255918811806147 280292031978161 282032976276162 292478642064168 320333750832184 329038472322189 334261305216192 341225082408196 360375469686207 376043968368216 389971522752224 438717963096252 445681740288256 480500626248276 501391957824288 511837623612294 560584063956322 564065952552324 584957284128336 640667501664368 658076944644378 668522610432384 682450164816392 720750939372414 752087936736432 767756435418441 779943045504448 840876095934483 877435926192504 961001252496552 987115416966567 1002783915648576 1023675247224588 1081126409058621 1121168127912644 1128131905104648 1169914568256672 1281335003328736 1316153889288756 1337045220864768 1364900329632784 1441501878744828 1504175873472864 1535512870836882 1559886091008896 1681752191868966 1754871852385008 1922002504993104 1962044223847127 1974230833933134 2005567831297152 2047350494449176 2162252818117242 2242336255825288 2256263810209296 2303269306255323 2339829136513344 2522628287803449 2562670006657472 2632307778577512 2729800659265568 2883003757489656 3008351746945728 3071025741673764 3119772182017792 3243379227175863 3363504383737932 3509743704770016 3844005009986208 3924088447694254 3948461667866268 4011135662594304 4094700988898352 4324505636234484 4484672511650576 4512527620418592 4606538612510646 4679658273026688 5045256575606898 5125340013314944 5264615557155024 5459601318531136 5766007514979312 5886132671541381 6016703493891456 6142051483347528 6486758454351726 6727008767475864 6909807918765969 7019487409540032 7567884863410347 7688010019972416 7848176895388508 7896923335732536 8189401977796704 8649011272468968 8969345023301152 9025055240837184 9213077225021292 9359316546053376 10090513151213796 10250680026629888 10529231114310048 10919202637062272 11532015029958624 11772265343082762 12033406987782912 12284102966695056 12973516908703452 13454017534951728 13819615837531938 14038974819080064 15135769726820694 15376020039944832 15696353790777016 15793846671465072 16378803955593408 17298022544937936 17658398014624143 17938690046602304 18050110481674368 18426154450042584 20181026302427592 21058462228620096 21838405274124544 22703654590231041 23064030059917248 23544530686165524 24568205933390112 25947033817406904 26908035069903456 27639231675063876 28077949638160128 30271539453641388 30752040079889664 31392707581554032 31587693342930144 32757607911186816 34596045089875872 35316796029248286 35877380093204608 36100220963348736 36852308900085168 40362052604855184 42116924457240192 45407309180462082 46128060119834496 47089061372331048 49136411866780224 51894067634813808 52975194043872429 53816070139806912 55278463350127752 60543078907282776 62785415163108064 63175386685860288 65515215822373632 69192090179751744 70633592058496572 71754760186409216 73704617800170336 80724105209710368 84233848914480384 90814618360924164 92256120239668992 94178122744662096 98272823733560448 103788135269627616 105950388087744858 107632140279613824 110556926700255504 121086157814565552 125570830326216128 126350773371720576 138384180359503488 141267184116993144 147409235600340672 158925582131617287 161448210419420736 181629236721848328 188356245489324192 196545647467120896 207576270539255232 211900776175489716 215264280559227648 221113853400511008 242172315629131104 251141660652432256 252701546743441152 276768360719006976 282534368233986288 294818471200681344 317851164263234574 322896420838841472 363258473443696656 376712490978648384 415152541078510464 423801552350979432 442227706801022016 484344631258262208 502283321304864512 565068736467972576 589636942401362688 635702328526469148 645792841677682944 726516946887393312 753424981957296768 830305082157020928 847603104701958864 884455413602044032 968689262516524416 1130137472935945152 1271404657052938296 1453033893774786624 1506849963914593536 1695206209403917728 1768910827204088064 1937378525033048832 2260274945871890304 2542809314105876592 2906067787549573248 3390412418807835456 4520549891743780608 5085618628211753184 5812135575099146496 6780824837615670912 10171237256423506368 13561649675231341824 20342474512847012736 40684949025694025472
- Sum of all divisors σ(n): 147257439185193953616
- Sum of proper divisors (its aliquot sum) s(n): 106572490159499928144
- 40684949025694025472 is an abundant number, because the sum of its proper divisors (106572490159499928144) is greater than itself. Its abundance is 65887541133805902672
Bases of 40684949025694025472
- Binary: 1000110100100111011111100110010100101011010101111000000111000000002
- Hexadecimal: 0x2349DF994AD5E0700
- Base-36: 8L3SARQD7JK00
Squares and roots of 40684949025694025472
- 40684949025694025472 squared (406849490256940254722) is 1655265077223321232526224800955784822784
- 40684949025694025472 cubed (406849490256940254723) is 67344375290842309013034659970388511713697143198363101954048
-
The
square root of 40684949025694025472 is 6378475446.8206605673 -
The
cube root of 40684949025694025472 is 3439362.2912467787
Scales and comparisons
How big is 40684949025694025472?- 40,684,949,025,694,025,472 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,684,949,025,694,025,472 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 40684949025694025472 cubic inches would be around 286613.5 feet tall.
Recreational maths with 40684949025694025472
- 40684949025694025472 backwards is 27452049652094948604
- The number of decimal digits it has is: 20
- The sum of 40684949025694025472's digits is 90
- More coming soon!
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The information we have on file for 40684949025694025472 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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