13137976963891200
13,137,976,963,891,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 13137976963891200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
13137976963891200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13137976963891200:
225 × 3 × 52 × 23 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 61 × 61 × 61)See below for interesting mathematical facts about the number 13137976963891200 from the Numbermatics database.
Names of 13137976963891200
- Cardinal: 13137976963891200 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, nine hundred seventy-six billion, nine hundred sixty-three million, eight hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.31379769638912 × 1016
Factors of 13137976963891200
Divisors of 13137976963891200
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 61 64 69 75 80 92 96 100 115 120 122 128 138 150 160 183 184 192 200 230 240 244 256 276 300 305 320 345 366 368 384 400 460 480 488 512 552 575 600 610 640 690 732 736 768 800 915 920 960 976 1024 1104 1150 1200 1220 1280 1380 1403 1464 1472 1525 1536 1600 1725 1830 1840 1920 1952 2048 2208 2300 2400 2440 2560 2760 2806 2928 2944 3050 3072 3200 3450 3660 3680 3721 3840 3904 4096 4209 4416 4575 4600 4800 4880 5120 5520 5612 5856 5888 6100 6144 6400 6900 7015 7320 7360 7442 7680 7808 8192 8418 8832 9150 9200 9600 9760 10240 11040 11163 11224 11712 11776 12200 12288 12800 13800 14030 14640 14720 14884 15360 15616 16384 16836 17664 18300 18400 18605 19200 19520 20480 21045 22080 22326 22448 23424 23552 24400 24576 25600 27600 28060 29280 29440 29768 30720 31232 32768 33672 35075 35328 36600 36800 37210 38400 39040 40960 42090 44160 44652 44896 46848 47104 48800 49152 51200 55200 55815 56120 58560 58880 59536 61440 62464 65536 67344 70150 70656 73200 73600 74420 76800 78080 81920 84180 85583 88320 89304 89792 93025 93696 94208 97600 98304 102400 105225 110400 111630 112240 117120 117760 119072 122880 124928 131072 134688 140300 141312 146400 147200 148840 153600 156160 163840 168360 171166 176640 178608 179584 186050 187392 188416 195200 196608 204800 210450 220800 223260 224480 226981 234240 235520 238144 245760 249856 256749 262144 269376 279075 280600 282624 292800 294400 297680 307200 312320 327680 336720 342332 353280 357216 359168 372100 374784 376832 390400 393216 409600 420900 427915 441600 446520 448960 453962 468480 471040 476288 491520 499712 513498 524288 538752 558150 561200 565248 585600 588800 595360 614400 624640 655360 673440 680943 684664 706560 714432 718336 744200 749568 753664 780800 786432 819200 841800 855830 883200 893040 897920 907924 936960 942080 952576 983040 999424 1026996 1048576 1077504 1116300 1122400 1130496 1134905 1171200 1177600 1190720 1228800 1249280 1283745 1310720 1346880 1361886 1369328 1413120 1428864 1436672 1488400 1499136 1507328 1561600 1572864 1638400 1683600 1711660 1766400 1786080 1795840 1815848 1873920 1884160 1905152 1966080 1998848 2053992 2097152 2139575 2155008 2232600 2244800 2260992 2269810 2342400 2355200 2381440 2457600 2498560 2567490 2621440 2693760 2723772 2738656 2826240 2857728 2873344 2976800 2998272 3014656 3123200 3145728 3276800 3367200 3404715 3423320 3532800 3572160 3591680 3631696 3747840 3768320 3810304 3932160 3997696 4107984 4194304 4279150 4310016 4465200 4489600 4521984 4539620 4684800 4710400 4762880 4915200 4997120 5134980 5220563 5242880 5387520 5447544 5477312 5652480 5674525 5715456 5746688 5953600 5996544 6029312 6246400 6291456 6418725 6553600 6734400 6809430 6846640 7065600 7144320 7183360 7263392 7495680 7536640 7620608 7864320 7995392 8215968 8388608 8558300 8620032 8930400 8979200 9043968 9079240 9369600 9420800 9525760 9830400 9994240 10269960 10441126 10485760 10775040 10895088 10954624 11304960 11349050 11430912 11493376 11907200 11993088 12058624 12492800 12582912 12837450 13107200 13468800 13618860 13693280 14131200 14288640 14366720 14526784 14991360 15073280 15241216 15661689 15728640 15990784 16431936 16777216 17023575 17116600 17240064 17860800 17958400 18087936 18158480 18739200 18841600 19051520 19660800 19988480 20539920 20882252 20971520 21550080 21790176 21909248 22609920 22698100 22861824 22986752 23814400 23986176 24117248 24985600 25165824 25674900 26102815 26214400 26937600 27237720 27386560 28262400 28577280 28733440 29053568 29982720 30146560 30482432 31323378 31457280 31981568 32863872 33554432 34047150 34233200 34480128 35721600 35916800 36175872 36316960 37478400 37683200 38103040 39321600 39976960 41079840 41764504 41943040 43100160 43580352 43818496 45219840 45396200 45723648 45973504 47628800 47972352 48234496 49971200 50331648 51349800 52205630 52428800 53875200 54475440 54773120 56524800 57154560 57466880 58107136 59965440 60293120 60964864 62646756 62914560 63963136 65727744 68094300 68466400 68960256 71443200 71833600 72351744 72633920 74956800 75366400 76206080 78308445 78643200 79953920 82159680 83529008 83886080 86200320 87160704 87636992 90439680 90792400 91447296 91947008 95257600 95944704 96468992 99942400 100663296 102699600 104411260 104857600 107750400 108950880 109546240 113049600 114309120 114933760 116214272 119930880 120586240 121929728 125293512 125829120 127926272 130514075 131455488 136188600 136932800 137920512 142886400 143667200 144703488 145267840 149913600 150732800 152412160 156616890 157286400 159907840 164319360 167058016 167772160 172400640 174321408 175273984 180879360 181584800 182894592 183894016 190515200 191889408 192937984 199884800 205399200 208822520 209715200 215500800 217901760 219092480 226099200 228618240 229867520 232428544 239861760 241172480 243859456 250587024 251658240 255852544 261028150 262910976 272377200 273865600 275841024 285772800 287334400 289406976 290535680 299827200 301465600 304824320 313233780 314572800 319815680 328638720 334116032 344801280 348642816 350547968 361758720 363169600 365789184 367788032 381030400 383778816 385875968 391542225 399769600 410798400 417645040 419430400 431001600 435803520 438184960 452198400 457236480 459735040 464857088 479723520 482344960 487718912 501174048 503316480 511705088 522056300 525821952 544754400 547731200 551682048 571545600 574668800 578813952 581071360 599654400 602931200 609648640 626467560 629145600 639631360 657277440 668232064 689602560 697285632 701095936 723517440 726339200 731578368 735576064 762060800 767557632 771751936 783084450 799539200 821596800 835290080 838860800 862003200 871607040 876369920 904396800 914472960 919470080 929714176 959447040 964689920 975437824 1002348096 1023410176 1044112600 1051643904 1089508800 1095462400 1103364096 1143091200 1149337600 1157627904 1162142720 1199308800 1205862400 1219297280 1252935120 1258291200 1279262720 1314554880 1336464128 1379205120 1394571264 1402191872 1447034880 1452678400 1463156736 1471152128 1524121600 1535115264 1566168900 1599078400 1643193600 1670580160 1724006400 1743214080 1752739840 1808793600 1828945920 1838940160 1859428352 1918894080 1929379840 1950875648 2004696192 2046820352 2088225200 2103287808 2179017600 2190924800 2206728192 2286182400 2298675200 2315255808 2324285440 2398617600 2411724800 2438594560 2505870240 2516582400 2558525440 2629109760 2672928256 2758410240 2789142528 2804383744 2894069760 2905356800 2926313472 2942304256 3048243200 3070230528 3132337800 3198156800 3286387200 3341160320 3448012800 3486428160 3505479680 3617587200 3657891840 3677880320 3718856704 3837788160 3858759680 3901751296 4009392384 4176450400 4206575616 4358035200 4381849600 4413456384 4572364800 4597350400 4648570880 4797235200 4823449600 4877189120 5011740480 5117050880 5258219520 5345856512 5516820480 5578285056 5608767488 5788139520 5810713600 5852626944 5884608512 6096486400 6140461056 6264675600 6396313600 6572774400 6682320640 6896025600 6972856320 7010959360 7235174400 7315783680 7355760640 7437713408 7675576320 7803502592 8018784768 8352900800 8413151232 8716070400 8763699200 8826912768 9144729600 9194700800 9297141760 9594470400 9646899200 9754378240 10023480960 10234101760 10516439040 10691713024 11033640960 11156570112 11217534976 11576279040 11621427200 11705253888 11769217024 12192972800 12529351200 12792627200 13145548800 13364641280 13792051200 13945712640 14021918720 14470348800 14631567360 14711521280 14875426816 15351152640 15607005184 16037569536 16705801600 16826302464 17432140800 17527398400 17653825536 18289459200 18389401600 18594283520 19188940800 19293798400 19508756480 20046961920 21032878080 21383426048 22067281920 22313140224 22435069952 23242854400 23410507776 23538434048 24385945600 25058702400 25585254400 26291097600 26729282560 27584102400 27891425280 28043837440 28940697600 29263134720 29423042560 29750853632 30702305280 31214010368 32075139072 33411603200 33652604928 34864281600 35054796800 35307651072 36578918400 36778803200 37188567040 38377881600 39017512960 40093923840 42065756160 42766852096 44134563840 44626280448 44870139904 46485708800 46821015552 47076868096 48771891200 50117404800 51170508800 52582195200 53458565120 55168204800 55782850560 56087674880 57881395200 58526269440 58846085120 59501707264 62428020736 64150278144 66823206400 67305209856 69728563200 70109593600 70615302144 73157836800 73557606400 74377134080 76755763200 78035025920 80187847680 84131512320 85533704192 88269127680 89252560896 89740279808 92971417600 93642031104 97543782400 100234809600 105164390400 106917130240 110336409600 111565701120 112175349760 117052538880 117692170240 119003414528 124856041472 128300556288 133646412800 134610419712 139457126400 140219187200 141230604288 146315673600 147115212800 148754268160 153511526400 156070051840 160375695360 168263024640 171067408384 176538255360 178505121792 179480559616 185942835200 187284062208 195087564800 200469619200 210328780800 213834260480 220672819200 223131402240 224350699520 234105077760 235384340480 238006829056 256601112576 267292825600 269220839424 278914252800 280438374400 292631347200 294230425600 297508536320 312140103680 320751390720 336526049280 342134816768 353076510720 357010243584 358961119232 371885670400 374568124416 390175129600 400939238400 420657561600 427668520960 441345638400 446262804480 448701399040 468210155520 476013658112 513202225152 534585651200 538441678848 557828505600 560876748800 585262694400 588460851200 595017072640 624280207360 641502781440 673052098560 684269633536 706153021440 714020487168 717922238464 743771340800 780350259200 801878476800 841315123200 855337041920 882691276800 892525608960 897402798080 936420311040 952027316224 1026404450304 1069171302400 1076883357696 1115657011200 1121753497600 1170525388800 1176921702400 1190034145280 1283005562880 1346104197120 1368539267072 1428040974336 1435844476928 1487542681600 1560700518400 1603756953600 1682630246400 1710674083840 1765382553600 1785051217920 1794805596160 1872840622080 1904054632448 2052808900608 2138342604800 2153766715392 2231314022400 2243506995200 2341050777600 2380068290560 2566011125760 2692208394240 2737078534144 2856081948672 2871688953856 2975085363200 3121401036800 3207513907200 3365260492800 3421348167680 3530765107200 3570102435840 3589611192320 3808109264896 4105617801216 4276685209600 4307533430784 4462628044800 4487013990400 4682101555200 4760136581120 5132022251520 5384416788480 5474157068288 5712163897344 5950170726400 6415027814400 6730520985600 6842696335360 7140204871680 7179222384640 7616218529792 8211235602432 8553370419200 8615066861568 8925256089600 8974027980800 9364203110400 9520273162240 10264044503040 10768833576960 10948314136576 11424327794688 11900341452800 12830055628800 13461041971200 13685392670720 14280409743360 14358444769280 16422471204864 17106740838400 17850512179200 17948055961600 19040546324480 20528089006080 21537667153920 21896628273152 22848655589376 23800682905600 25660111257600 26922083942400 27370785341440 28560819486720 32844942409728 34213481676800 35701024358400 35896111923200 38081092648960 41056178012160 43075334307840 43793256546304 47601365811200 51320222515200 53844167884800 54741570682880 57121638973440 65689884819456 68426963353600 71402048716800 71792223846400 82112356024320 87586513092608 95202731622400 102640445030400 107688335769600 109483141365760 114243277946880 131379769638912 136853926707200 142804097433600 164224712048640 175173026185216 190405463244800 205280890060800 215376671539200 218966282731520 262759539277824 273707853414400 285608194867200 328449424097280 410561780121600 437932565463040 525519078555648 547415706828800 571216389734400 656898848194560 821123560243200 875865130926080 1094831413657600 1313797696389120 1642247120486400 2189662827315200 2627595392778240 3284494240972800 4379325654630400 6568988481945600 13137976963891200
- Sum of all divisors σ(n): 46087257552124032
- Sum of proper divisors (its aliquot sum) s(n): 32949280588232832
- 13137976963891200 is an abundant number, because the sum of its proper divisors (32949280588232832) is greater than itself. Its abundance is 19811303624341632
Bases of 13137976963891200
- Binary: 1011101010110011101011101000100000000000000000000000002
- Hexadecimal: 0x2EACEBA2000000
- Base-36: 3LD0VANSD1C
Squares and roots of 13137976963891200
- 13137976963891200 squared (131379769638912002) is 172606438703735833508645437440000
- 13137976963891200 cubed (131379769638912003) is 2267699415508979820846956593244682508566528000000
-
The
square root of 13137976963891200 is 114621014.4951230137 -
The
cube root of 13137976963891200 is 235962.4147981299
Scales and comparisons
How big is 13137976963891200?- 13,137,976,963,891,200 seconds is equal to 417,747,029 years, 1 week, 13 hours, 20 minutes.
-
To count from 1 to 13,137,976,963,891,200 would take you about one billion, two hundred fifty-three million, two hundred forty-one thousand and eighty-seven 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 13137976963891200 cubic inches would be around 19663.5 feet tall.
Recreational maths with 13137976963891200
- 13137976963891200 backwards is 00219836967973131
- 13137976963891200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13137976963891200's digits is 75
- More coming soon!
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The information we have on file for 13137976963891200 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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