13279538342434406400
13,279,538,342,434,406,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 13279538342434406400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1440 divisors.
13279538342434406400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13279538342434406400:
215 × 32 × 52 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 23 × 23 × 23 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 13279538342434406400 from the Numbermatics database.
Names of 13279538342434406400
- Cardinal: 13279538342434406400 can be written as Thirteen quintillion, two hundred seventy-nine quadrillion, five hundred thirty-eight trillion, three hundred forty-two billion, four hundred thirty-four million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.32795383424344064 × 1019
Factors of 13279538342434406400
Divisors of 13279538342434406400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 64 69 72 75 80 90 92 96 100 115 120 128 138 144 150 160 180 184 192 200 207 225 230 240 256 276 288 300 320 345 360 368 384 400 414 450 460 480 512 529 552 575 576 600 640 690 720 736 768 800 828 900 920 960 1024 1035 1058 1104 1150 1152 1200 1280 1380 1440 1472 1536 1587 1600 1656 1725 1800 1840 1920 2048 2070 2116 2208 2300 2304 2400 2560 2645 2760 2880 2944 3072 3174 3200 3312 3450 3600 3680 3840 4096 4140 4232 4416 4600 4608 4761 4800 5120 5175 5290 5520 5760 5888 6144 6348 6400 6624 6900 7200 7360 7680 7935 8192 8280 8464 8832 9200 9216 9522 9600 10240 10350 10580 11040 11520 11776 12167 12288 12696 12800 13225 13248 13800 14400 14720 15360 15870 16384 16560 16928 17664 18400 18432 19044 19200 20480 20700 21160 22080 23040 23552 23805 24334 24576 25392 25600 26450 26496 27600 28800 29440 30720 31740 32768 33120 33856 35328 36501 36800 36864 38088 38400 39675 40960 41400 42320 44160 46080 47104 47610 48668 49152 50784 51200 52900 52992 55200 57600 58880 60835 61440 63480 66240 67712 70656 73002 73600 73728 76176 76800 79350 81920 82800 84640 88320 92160 94208 95220 97336 98304 101568 102400 105800 105984 109503 110400 115200 117760 119025 121670 122880 126960 132480 135424 141312 146004 147200 147456 152352 153600 158700 163840 165600 169280 176640 182505 184320 188416 190440 194672 203136 204800 211600 211968 219006 220800 230400 235520 238050 243340 245760 253920 264960 270848 279841 282624 292008 294400 294912 304175 304704 307200 317400 331200 338560 353280 365010 368640 376832 380880 389344 406272 409600 423200 423936 438012 441600 460800 471040 476100 486680 491520 507840 529920 541696 547515 559682 565248 584016 588800 608350 609408 614400 634800 662400 677120 706560 730020 737280 753664 761760 778688 812544 819200 839523 846400 847872 876024 883200 912525 921600 942080 952200 973360 1015680 1059840 1083392 1095030 1119364 1130496 1168032 1177600 1216700 1218816 1228800 1269600 1324800 1354240 1399205 1413120 1460040 1474560 1523520 1557376 1625088 1679046 1692800 1695744 1752048 1766400 1825050 1843200 1884160 1904400 1946720 2031360 2119680 2166784 2190060 2238728 2260992 2336064 2355200 2433400 2437632 2457600 2518569 2539200 2649600 2708480 2737575 2798410 2826240 2920080 3047040 3114752 3250176 3358092 3385600 3391488 3504096 3532800 3650100 3686400 3768320 3808800 3893440 4062720 4197615 4239360 4333568 4380120 4477456 4672128 4710400 4866800 4875264 5037138 5078400 5299200 5416960 5475150 5596820 5652480 5840160 6094080 6229504 6436343 6500352 6716184 6771200 6782976 6996025 7008192 7065600 7300200 7372800 7617600 7786880 8125440 8395230 8478720 8667136 8760240 8954912 9344256 9420800 9733600 9750528 10074276 10156800 10598400 10833920 10950300 11193640 11304960 11680320 12188160 12459008 12592845 12872686 13000704 13432368 13542400 13992050 14016384 14131200 14600400 15235200 15573760 16250880 16790460 16957440 17334272 17520480 17909824 18688512 18841600 19309029 19467200 19501056 20148552 20313600 20988075 21196800 21667840 21900600 22387280 23360640 24376320 24918016 25185690 25745372 26001408 26864736 27084800 27984100 28032768 28262400 29200800 30470400 31147520 32181715 32501760 33580920 33914880 35040960 35819648 37377024 38618058 38934400 39002112 40297104 40627200 41976150 42393600 43335680 43801200 44774560 46721280 48752640 49836032 50371380 51490744 52002816 53729472 54169600 55968200 56065536 56524800 57927087 58401600 60940800 62295040 62964225 64363430 65003520 67161840 70081920 71639296 74754048 77236116 77868800 78004224 80594208 81254400 83952300 84787200 86671360 87602400 89549120 93442560 96545145 97505280 99672064 100742760 102981488 107458944 108339200 111936400 112131072 115854174 116803200 121881600 124590080 125928450 128726860 130007040 134323680 140163840 143278592 148035889 149508096 154472232 155737600 156008448 160908575 161188416 162508800 167904600 169574400 175204800 179098240 186885120 193090290 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378971875840 391554926405 395448913920 408579053640 412642344960 426343360320 435817657216 454766251008 469865911686 473714844800 474538696704 490294864368 494311142400 510723817050 515802931200 527265218560 532929200400 544772071520 568457813760 593173370880 606355001344 612868580460 626487882248 632718262272 653726485824 659081523200 680965089400 682149376512 687737241600 704798867529 710572267200 741466713600 757943751680 766085725575 783109852810 790897827840 817158107280 852686720640 871635314432 909532502016 939731823372 947429689600 949077393408 980589728736 988622284800 1021447634100 1031605862400 1054530437120 1065858400800 1089544143040 1136915627520 1174664779215 1186346741760 1212710002688 1225737160920 1252975764496 1307452971648 1318163046400 1361930178800 1364298753024 1409597735058 1421144534400 1482933427200 1515887503360 1532171451150 1566219705620 1581795655680 1634316214560 1705373441280 1743270628864 1801152661463 1819065004032 1879463646744 1894859379200 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9005763307315 9095325020160 9397318233720 9490773934080 9805897287360 10023806115968 10459623773184 10806915968778 10895441430400 10914390024192 11276781880464 11369156275200 11746647792150 11863467417600 12127100026880 12257371609200 12529757644960 13074529716480 13642987530240 13946165030912 14095977350580 14409221291704 14552520032256 15035709173952 15158875033600 15662197056200 15689435659776 15817956556800 16210373953167 16343162145600 17053734412800 17432706288640 17619971688225 18011526614630 18190650040320 18794636467440 19611794574720 20047612231936 20919247546368 21613831937556 21790882860800 21828780048384 22553563760928 22738312550400 23493295584300 23726934835200 24254200053760 24514743218400 25059515289920 26149059432960 27017289921945 27285975060480 27892330061824 28191954701160 28818442583408 30071418347904 30317750067200 31324394112400 31378871319552 32420747906334 32686324291200 34107468825600 34865412577280 35239943376450 36023053229260 36381300080640 37589272934880 39223589149440 40095224463872 41838495092736 43227663875112 43581765721600 43657560096768 45028816536575 45107127521856 45476625100800 46986591168600 47453869670400 49029486436800 50119030579840 52298118865920 54034579843890 54571950120960 55784660123648 56383909402320 57636885166816 60142836695808 60635500134400 62648788224800 62757742639104 64841495812668 65372648582400 68214937651200 69730825154560 70479886752900 72046106458520 72762600161280 75178545869760 78447178298880 80190448927744 81051869765835 83676990185472 86455327750224 87163531443200 90057633073150 90214255043712 90953250201600 93973182337200 98058972873600 100238061159680 104596237731840 108069159687780 109143900241920 111569320247296 112767818804640 115273770333632 120285673391616 121271000268800 125297576449600 125515485278208 129682991625336 130745297164800 135086449609725 136429875302400 139461650309120 140959773505800 144092212917040 150357091739520 156894356597760 160380897855488 162103739531670 167353980370944 172910655500448 174327062886400 180115266146300 180428510087424 181906500403200 187946364674400 196117945747200 200476122319360 209192475463680 216138319375560 218287800483840 225535637609280 230547540667264 240571346783232 250595152899200 251030970556416 259365983250672 261490594329600 270172899219450 272859750604800 278923300618240 281919547011600 288184425834080 300714183479040 313788713195520 320761795710976 324207479063340 334707960741888 345821311000896 348654125772800 360230532292600 360857020174848 363813000806400 375892729348800 392235891494400 400952244638720 405259348829175 418384950927360 432276638751120 451071275218560 461095081334528 481142693566464 501190305798400 502061941112832 518731966501344 522981188659200 540345798438900 545719501209600 557846601236480 563839094023200 576368851668160 601428366958080 627577426391040 641523591421952 648414958126680 691642622001792 697308251545600 720461064585200 721714040349696 751785458697600 784471782988800 801904489277440 810518697658350 836769901854720 864553277502240 902142550437120 922190162669056 962285387132928 1002380611596800 1004123882225664 1037463933002688 1045962377318400 1080691596877800 1091439002419200 1127678188046400 1152737703336320 1202856733916160 1255154852782080 1283047182843904 1296829916253360 1383285244003584 1394616503091200 1440922129170400 1443428080699392 1503570917395200 1568943565977600 1603808978554880 1621037395316700 1673539803709440 1729106555004480 1804285100874240 1844380325338112 1924570774265856 2004761223193600 2074927866005376 2091924754636800 2161383193755600 2255356376092800 2305475406672640 2405713467832320 2510309705564160 2566094365687808 2593659832506720 2766570488007168 2789233006182400 2881844258340800 2886856161398784 3007141834790400 3137887131955200 3207617957109760 3242074790633400 3458213110008960 3608570201748480 3688760650676224 3849141548531712 4009522446387200 4149855732010752 4183849509273600 4322766387511200 4510712752185600 4610950813345280 4811426935664640 5020619411128320 5187319665013440 5533140976014336 5763688516681600 5773712322797568 6014283669580800 6275774263910400 6415235914219520 6484149581266800 6916426220017920 7217140403496960 7377521301352448 7698283097063424 8019044892774400 8299711464021504 8367699018547200 8645532775022400 9021425504371200 9221901626690560 9622853871329280 10374639330026880 11066281952028672 11527377033363200 11547424645595136 12028567339161600 12551548527820800 12830471828439040 12968299162533600 13832852440035840 14434280806993920 14755042602704896 16038089785548800 16599422928043008 17291065550044800 18042851008742400 18443803253381120 19245707742658560 20749278660053760 22132563904057344 23054754066726400 23094849291190272 24057134678323200 25103097055641600 25936598325067200 27665704880071680 28868561613987840 29510085205409792 32076179571097600 33198845856086016 34582131100089600 36085702017484800 36887606506762240 38491415485317120 41498557320107520 44265127808114688 46109508133452800 48114269356646400 51873196650134400 55331409760143360 57737123227975680 59020170410819584 64152359142195200 66397691712172032 69164262200179200 72171404034969600 73775213013524480 82997114640215040 88530255616229376 92219016266905600 96228538713292800 103746393300268800 110662819520286720 115474246455951360 132795383424344064 138328524400358400 144342808069939200 147550426027048960 165994229280430080 177060511232458752 184438032533811200 192457077426585600 207492786600537600 221325639040573440 265590766848688128 276657048800716800 288685616139878400 295100852054097920 331988458560860160 368876065067622400 414985573201075200 442651278081146880 531181533697376256 553314097601433600 577371232279756800 663976917121720320 737752130135244800 829971146402150400 885302556162293760 1106628195202867200 1327953834243440640 1475504260270489600 1659942292804300800 2213256390405734400 2655907668486881280 3319884585608601600 4426512780811468800 6639769171217203200 13279538342434406400
- Sum of all divisors σ(n): 49731782917805815320
- Sum of proper divisors (its aliquot sum) s(n): 36452244575371408920
- 13279538342434406400 is an abundant number, because the sum of its proper divisors (36452244575371408920) is greater than itself. Its abundance is 23172706232937002520
Bases of 13279538342434406400
- Binary: 10111000010010100110010111000011101100011111101110000000000000002
- Hexadecimal: 0xB84A65C3B1FB8000
- Base-36: 2SW3NGVNHZB40
Squares and roots of 13279538342434406400
- 13279538342434406400 squared (132795383424344064002) is 176346138588185541853809086520360960000
- 13279538342434406400 cubed (132795383424344064003) is 2341795308922061542475698286963891263562526851334144000000
-
The
square root of 13279538342434406400 is 3644110089.2308956697 -
The
cube root of 13279538342434406400 is 2368068.8537645299
Scales and comparisons
How big is 13279538342434406400?- 13,279,538,342,434,406,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,279,538,342,434,406,400 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 13279538342434406400 cubic inches would be around 197339.1 feet tall.
Recreational maths with 13279538342434406400
- 13279538342434406400 backwards is 00460443424383597231
- 13279538342434406400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13279538342434406400's digits is 72
- More coming soon!
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"Number 13279538342434406400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13279538342434406400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13279538342434406400/
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The information we have on file for 13279538342434406400 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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