13882284959907152565882000
13,882,284,959,907,152,565,882,000 is an even composite number composed of six prime numbers multiplied together.
13882284959907152565882000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13882284959907152565882000:
24 × 33 × 53 × 7 × 379 × 96901376219145011
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 379 × 96901376219145011)See below for interesting mathematical facts about the number 13882284959907152565882000 from the Numbermatics database.
Names of 13882284959907152565882000
- Cardinal: 13882284959907152565882000 can be written as Thirteen septillion, eight hundred eighty-two sextillion, two hundred eighty-four quintillion, nine hundred fifty-nine quadrillion, nine hundred seven trillion, one hundred fifty-two billion, five hundred sixty-five million, eight hundred eighty-two thousand.
Scientific notation
- Scientific notation: 1.3882284959907152565882 × 1025
Factors of 13882284959907152565882000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 96901376219145407
Divisors of 13882284959907152565882000
- Number of divisors d(n): 640
-
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 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 84 90 100 105 108 112 120 125 126 135 140 144 150 168 175 180 189 200 210 216 225 240 250 252 270 280 300 315 336 350 360 375 378 379 400 420 432 450 500 504 525 540 560 600 630 675 700 720 750 756 758 840 875 900 945 1000 1008 1050 1080 1125 1137 1200 1260 1350 1400 1500 1512 1516 1575 1680 1750 1800 1890 1895 2000 2100 2160 2250 2274 2520 2625 2653 2700 2800 3000 3024 3032 3150 3375 3411 3500 3600 3780 3790 4200 4500 4548 4725 5040 5250 5306 5400 5685 6000 6064 6300 6750 6822 7000 7560 7580 7875 7959 8400 9000 9096 9450 9475 10233 10500 10612 10800 11370 12600 13265 13500 13644 14000 15120 15160 15750 15918 17055 18000 18192 18900 18950 20466 21000 21224 22740 23625 23877 25200 26530 27000 27288 28425 30320 31500 31836 34110 37800 37900 39795 40932 42000 42448 45480 47250 47375 47754 51165 53060 54000 54576 56850 63000 63672 66325 68220 71631 75600 75800 79590 81864 85275 90960 94500 94750 95508 102330 106120 113700 119385 126000 127344 132650 136440 142125 143262 151600 159180 163728 170550 189000 189500 191016 198975 204660 212240 227400 238770 255825 265300 272880 284250 286524 318360 331625 341100 358155 378000 379000 382032 397950 409320 426375 454800 477540 511650 530600 568500 573048 596925 636720 663250 682200 716310 758000 795900 818640 852750 955080 994875 1023300 1061200 1137000 1146096 1193850 1279125 1326500 1364400 1432620 1591800 1705500 1790775 1910160 1989750 2046600 2274000 2387700 2558250 2653000 2865240 2984625 3183600 3411000 3581550 3979500 4093200 4775400 5116500 5306000 5730480 5969250 6822000 7163100 7959000 8953875 9550800 10233000 11938500 14326200 15918000 17907750 20466000 23877000 28652400 35815500 47754000 71631000 143262000 96901376219145011 193802752438290022 290704128657435033 387605504876580044 484506881095725055 581408257314870066 678309633534015077 775211009753160088 872112385972305099 969013762191450110 1162816514629740132 1356619267068030154 1453520643287175165 1550422019506320176 1744224771944610198 1938027524382900220 2034928900602045231 2325633029259480264 2422534405478625275 2616337157916915297 2713238534136060308 2907041286574350330 3391548167670075385 3488449543889220396 3876055048765800440 4069857801204090462 4360561929861525495 4651266058518960528 4845068810957250550 5232674315833830594 5426477068272120616 5814082573148700660 6104786701806135693 6783096335340150770 6976899087778440792 7267603216435875825 7752110097531600880 8139715602408180924 8721123859723050990 9690137621914501100 10174644503010226155 10465348631667661188 10852954136544241232 11628165146297401320 12112672027393126375 12209573403612271386 13081685789584576485 13566192670680301540 13953798175556881584 14535206432871751650 16279431204816361848 16957740838350376925 17442247719446101980 18314360105418407079 19380275243829002200 20349289006020452310 20930697263335322376 21802809649307627475 23256330292594802640 24225344054786252750 24419146807224542772 26163371579169152970 27132385341360603080 29070412865743503300 30523933509030678465 32558862409632723696 33915481676700753850 34884495438892203960 36338016082179379125 36628720210836814158 36725621587055959169 38760550487658004400 40698578012040904620 41861394526670644752 43605619298615254950 48450688109572505500 48838293614449085544 50873222515051130775 52326743158338305940 54264770682721206160 58140825731487006600 61047867018061356930 65408428947922882425 67830963353401507700 69768990877784407920 72676032164358758250 73257440421673628316 73451243174111918338 81397156024081809240 84788704191751884625 87211238597230509900 91571800527092035395 96901376219145011000 97676587228898171088 101746445030102261550 104653486316676611880 109014048246538137375 110176864761167877507 116281651462974013200 122095734036122713860 130816857895845764850 135661926706803015400 145352064328717516500 146514880843347256632 146902486348223836676 152619667545153392325 162794312048163618480 169577408383503769250 174422477194461019800 183143601054184070790 183628107935279795845 193802752438290022000 203492890060204523100 209306972633353223760 218028096493076274750 220353729522335755014 244191468072245427720 254366112575255653875 257079351109391714183 261633715791691529700 271323853413606030800 290704128657435033000 293029761686694513264 293804972696447673352 305239335090306784650 327042144739614412125 330530594283503632521 339154816767007538500 348844954388922039600 366287202108368141580 367256215870559591690 406985780120409046200 436056192986152549500 440707459044671510028 457859002635460176975 488382936144490855440 508732225150511307750 514158702218783428366 523267431583383059400 550884323805839387535 581408257314870066000 587609945392895346704 610478670180613569300 654084289479228824250 661061188567007265042 678309633534015077000 732574404216736283160 734512431741119183380 763098337725766961625 771238053328175142549 813971560240818092400 872112385972305099000 881414918089343020056 915718005270920353950 918140539676398979225 991591782850510897563 1017464450301022615500 1028317404437566856732 1046534863166766118800 1101768647611678775070 1220957340361227138600 1285396755546958570915 1308168578958457648500 1322122377134014530084 1356619267068030154000 1465148808433472566320 1469024863482238366760 1526196675451533923250 1542476106656350285098 1652652971417518162605 1744224771944610198000 1762829836178686040112 1831436010541840707900 1836281079352797958450 1983183565701021795126 2034928900602045231000 2056634808875133713464 2203537295223357550140 2289295013177300884875 2313714159984525427647 2441914680722454277200 2570793511093917141830 2616337157916915297000 2644244754268029060168 2754421619029196937675 2938049726964476733520 3052393350903067846500 3084952213312700570196 3305305942835036325210 3662872021083681415800 3672562158705595916900 3856190266640875712745 3966367131402043590252 4069857801204090462000 4113269617750267426928 4407074590446715100280 4578590026354601769750 4590702698381994896125 4627428319969050855294 4957958914252554487815 5141587022187834283660 5232674315833830594000 5288489508536058120336 5508843238058393875350 6104786701806135693000 6169904426625401140392 6426983777734792854575 6610611885670072650420 6941142479953576282941 7325744042167362831600 7345124317411191833800 7712380533281751425490 7932734262804087180504 8263264857087590813025 8814149180893430200560 9157180052709203539500 9181405396763989792250 9254856639938101710588 9915917828505108975630 10283174044375668567320 11017686476116787750700 11568570799922627138235 12209573403612271386000 12339808853250802280784 12853967555469585709150 13221223771340145300840 13772108095145984688375 13882284959907152565882 14690248634822383667600 15424761066563502850980 15865468525608174361008 16526529714175181626050 18314360105418407079000 18362810793527979584500 18509713279876203421176 19280951333204378563725 19831835657010217951260 20566348088751337134640 22035372952233575501400 23137141599845254276470 24789794571262772439075 25707935110939171418300 26442447542680290601680 27544216190291969376750 27764569919814305131764 30849522133127005701960 32134918888673964272875 33053059428350363252100 34705712399767881414705 36628720210836814158000 36725621587055959169000 37019426559752406842352 38561902666408757127450 39663671314020435902520 41316324285437954065125 44070745904467151002800 46274283199690508552940 49579589142525544878150 51415870221878342836600 55088432380583938753500 55529139839628610263528 57842853999613135691175 61699044266254011403920 64269837777347928545750 66106118856700726504200 69411424799535762829410 73451243174111918338000 77123805332817514254900 79327342628040871805040 82632648570875908130250 92548566399381017105880 96404756666021892818625 99159178285051089756300 102831740443756685673200 110176864761167877507000 111058279679257220527056 115685707999226271382350 123948972856313862195375 128539675554695857091500 132212237713401453008400 138822849599071525658820 154247610665635028509800 165265297141751816260500 173528561998839407073525 185097132798762034211760 192809513332043785637250 198318356570102179512600 220353729522335755014000 231371415998452542764700 247897945712627724390750 257079351109391714183000 277645699198143051317640 289214269998065678455875 308495221331270057019600 330530594283503632521000 347057123997678814147050 385619026664087571274500 396636713140204359025200 462742831996905085529400 495795891425255448781500 514158702218783428366000 555291398396286102635280 578428539996131356911750 661061188567007265042000 694114247995357628294100 771238053328175142549000 867642809994197035367625 925485663993810171058800 991591782850510897563000 1156857079992262713823500 1388228495990715256588200 1542476106656350285098000 1735285619988394070735250 1983183565701021795126000 2313714159984525427647000 2776456991981430513176400 3470571239976788141470500 4627428319969050855294000 6941142479953576282941000 13882284959907152565882000
- Sum of all divisors σ(n): 56983590736127489808691200
- Sum of proper divisors (its aliquot sum) s(n): 43101305776220337242809200
- 13882284959907152565882000 is an abundant number, because the sum of its proper divisors (43101305776220337242809200) is greater than itself. Its abundance is 29219020816313184676927200
Bases of 13882284959907152565882000
- Binary: 1011011110111011000000101100111101100001000110010000000100010011101111001100100100002
- Hexadecimal: 0xB7BB02CF61190113BCC90
- Base-36: 1QSM0KY4GNYH8PAC0
Squares and roots of 13882284959907152565882000
- 13882284959907152565882000 squared (138822849599071525658820002) is 192717835708064332523546816115462296350437924000000
- 13882284959907152565882000 cubed (138822849599071525658820003) is 2675363912155919077549804760220282202379778235517312763010961308968000000000
-
The
square root of 13882284959907152565882000 is 3725893847106.6446320673 -
The
cube root of 13882284959907152565882000 is 240336824.2897031111
Scales and comparisons
How big is 13882284959907152565882000?- 13,882,284,959,907,152,565,882,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,882,284,959,907,152,565,882,000 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 13882284959907152565882000 cubic inches would be around 20028068.7 feet tall.
Recreational maths with 13882284959907152565882000
- 13882284959907152565882000 backwards is 00028856525170995948228831
- The number of decimal digits it has is: 26
- The sum of 13882284959907152565882000's digits is 117
- More coming soon!
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The information we have on file for 13882284959907152565882000 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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