Decimal digits please and no approximations please.
Can you post here the actual value of this monster number?
2006-08-16 04:58:03 · 6 answers · asked by oracle 5 in Science & Mathematics ➔ Mathematics
7^2006 has 1696 digits. Its exact value is as follows:
18478566133877115397080
30188630643976166994017358478
86056237102731703662445762798
70021624203703285567631057093
10362563934156377221151159158
33493371564536535323685019658
93133169281859628321834977429
41014406148010062455167017611
71275292103049553902819488250
65332000809077552248303361736
89388533739457301032808926179
26341669543766189025766472141
51901807365676856316200136796
13844726288666616736220441435
47779390774708724943934199437
70243436629297356841747659094
98501432163174135180797032197
67465322168950628607401721803
91384440009143422171347777022
07375201829848553622236472266
31382165869423558858757959619
27211913787412827035105787025
96500644244452475914585955691
09009484201989669788283410373
52514312897230016439394544871
68702754825477305812208367978
66799060065435520724946002731
69833645272918156824885959771
27947744199959968747968138455
78014223225395883240479447216
56704439636757707956599189263
19155038090852662484768864631
57897794464414951192176745323
33797586517091884429744585292
08482719146622723410296020055
49093729713178281376061108486
89028055725339766564569587239
66275140477858870757860692981
96893811679333930279334219909
66209233190030214064252135613
22909212625398654064585162828
26334294461718307880101541994
66386011189667446080617619382
30710896608612743584323827036
22921881005616893365139357329
82566145731961184770673426304
38044494162659164553164950804
02191954756436795198902707765
02896650751108846196998234000
53706944847100271860573181197
47198564266598535945613404050
05490196606404505413645339271
34976620650210993567842109600
54638282499340709523998635626
79018465677669882226330473671
34102718037813323407956271244
24759025971498701334654328678
12952880964132494789728182948
24093572502618917649
2006-08-16 05:18:18 · answer #1 · answered by Pascal 7 · 0⤊ 1⤋
These people dont have their minds open
A number A has n digits in base 10 if
10^(n-1) <= A < 10^n
After taking logs;
n-1 <= log_10 A < n
Example 7650 has 4 digits
4-1 = 3 <= 3.88366... < 4
So it has 4 digits.
Let A = 7^2006
log_10 7^2006 = 2006 log_10 7 = 1695.266668...
1696-1=1695<= log_10 7^2006 < 1696
So it has 1696 Digits
This will work with ANY number (assuming you can calculate log_10 A), in ANY base (change log_10 to log_b).
Now gimme 10 pts
2006-08-17 16:37:39 · answer #2 · answered by Anonymous · 1⤊ 0⤋
this number obviously has more than 1000 digits... I would need to teach my computer to make multiplications properly before I could answer... (big number calculations require specific treatment)
1847856613387711539708030188630643976166994017358478860562371027317036624457627987002162420370328556763105709310362563934156377221151159158334933715645365353236850196589313316928185962832183497742941014406148010062455167017611712752921030495539028194882506533200080907755224830336173689388533739457301032808926179263416695437661890257664721415190180736567685631620013679613844726288666616736220441435477793907747087249439341994377024343662929735684174765909498501432163174135180797032197674653221689506286074017218039138444000914342217134777702207375201829848553622236472266313821658694235588587579596192721191378741282703510578702596500644244452475914585955691090094842019896697882834103735251431289723001643939454487168702754825477305812208367978667990600654355207249460027316983364527291815682488595977127947744199959968747968138455780142232253958832404794472165670443963675770795659918926319155038090852662484768864631578977944644149511921767453233379758651709188442974458529208482719146622723410296020055490937297131782813760611084868902805572533976656456958723966275140477858870757860692981968938116793339302793342199096620923319003021406425213561322909212625398654064585162828263342944617183078801015419946638601118966744608061761938230710896608612743584323827036229218810056168933651393573298256614573196118477067342630438044494162659164553164950804021919547564367951989027077650289665075110884619699823400053706944847100271860573181197471985642665985359456134040500549019660640450541364533927134976620650210993567842109600546382824993407095239986356267901846567766988222633047367134102718037813323407956271244247590259714987013346543286781295288096413249478972818294824093572502618917649
happy, now? (1696 digits according to the wordcount feature of microsoft word)
Oh! great! Forgot this annoying feature in yahoo answer. Use the calculator yourself, and copy paste the result wherever you need it.
2006-08-16 12:04:10 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Around 1696 digits
You need a SuperComputer for that
2006-08-16 12:09:32 · answer #4 · answered by ag_iitkgp 7 · 0⤊ 0⤋
1.8478 E 1695
2006-08-16 12:08:24 · answer #5 · answered by WildPointer 3 · 0⤊ 1⤋
1.847856613387711539708e1695
:D
2006-08-16 12:06:24 · answer #6 · answered by pollypureheart 4 · 0⤊ 0⤋