13821312132710400
13,821,312,132,710,400 is an even composite number composed of five prime numbers multiplied together.
13821312132710400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 13821312132710400:
232 × 3 × 52 × 107 × 401
(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 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 107 × 401)See below for interesting mathematical facts about the number 13821312132710400 from the Numbermatics database.
Names of 13821312132710400
- Cardinal: 13821312132710400 can be written as Thirteen quadrillion, eight hundred twenty-one trillion, three hundred twelve billion, one hundred thirty-two million, seven hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.38213121327104 × 1016
Factors of 13821312132710400
Divisors of 13821312132710400
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 107 120 128 150 160 192 200 214 240 256 300 320 321 384 400 401 428 480 512 535 600 640 642 768 800 802 856 960 1024 1070 1200 1203 1280 1284 1536 1600 1604 1605 1712 1920 2005 2048 2140 2400 2406 2560 2568 2675 3072 3200 3208 3210 3424 3840 4010 4096 4280 4800 4812 5120 5136 5350 6015 6144 6400 6416 6420 6848 7680 8020 8025 8192 8560 9600 9624 10025 10240 10272 10700 12030 12288 12800 12832 12840 13696 15360 16040 16050 16384 17120 19200 19248 20050 20480 20544 21400 24060 24576 25600 25664 25680 27392 30075 30720 32080 32100 32768 34240 38400 38496 40100 40960 41088 42800 42907 48120 49152 51200 51328 51360 54784 60150 61440 64160 64200 65536 68480 76800 76992 80200 81920 82176 85600 85814 96240 98304 102400 102656 102720 109568 120300 122880 128320 128400 128721 131072 136960 153600 153984 160400 163840 164352 171200 171628 192480 196608 204800 205312 205440 214535 219136 240600 245760 256640 256800 257442 262144 273920 307200 307968 320800 327680 328704 342400 343256 384960 393216 409600 410624 410880 429070 438272 481200 491520 513280 513600 514884 524288 547840 614400 615936 641600 643605 655360 657408 684800 686512 769920 786432 819200 821248 821760 858140 876544 962400 983040 1026560 1027200 1029768 1048576 1072675 1095680 1228800 1231872 1283200 1287210 1310720 1314816 1369600 1373024 1539840 1572864 1638400 1642496 1643520 1716280 1753088 1924800 1966080 2053120 2054400 2059536 2097152 2145350 2191360 2457600 2463744 2566400 2574420 2621440 2629632 2739200 2746048 3079680 3145728 3218025 3276800 3284992 3287040 3432560 3506176 3849600 3932160 4106240 4108800 4119072 4194304 4290700 4382720 4915200 4927488 5132800 5148840 5242880 5259264 5478400 5492096 6159360 6291456 6436050 6553600 6569984 6574080 6865120 7012352 7699200 7864320 8212480 8217600 8238144 8388608 8581400 8765440 9830400 9854976 10265600 10297680 10485760 10518528 10956800 10984192 12318720 12582912 12872100 13107200 13139968 13148160 13730240 14024704 15398400 15728640 16424960 16435200 16476288 16777216 17162800 17530880 19660800 19709952 20531200 20595360 20971520 21037056 21913600 21968384 24637440 25165824 25744200 26214400 26279936 26296320 27460480 28049408 30796800 31457280 32849920 32870400 32952576 33554432 34325600 35061760 39321600 39419904 41062400 41190720 41943040 42074112 43827200 43936768 49274880 50331648 51488400 52428800 52559872 52592640 54920960 56098816 61593600 62914560 65699840 65740800 65905152 67108864 68651200 70123520 78643200 78839808 82124800 82381440 83886080 84148224 87654400 87873536 98549760 100663296 102976800 104857600 105119744 105185280 109841920 112197632 123187200 125829120 131399680 131481600 131810304 134217728 137302400 140247040 157286400 157679616 164249600 164762880 167772160 168296448 175308800 175747072 197099520 201326592 205953600 209715200 210239488 210370560 219683840 224395264 246374400 251658240 262799360 262963200 263620608 268435456 274604800 280494080 314572800 315359232 328499200 329525760 335544320 336592896 350617600 351494144 394199040 402653184 411907200 419430400 420478976 420741120 439367680 448790528 492748800 503316480 525598720 525926400 527241216 536870912 549209600 560988160 629145600 630718464 656998400 659051520 671088640 673185792 701235200 702988288 788398080 805306368 823814400 838860800 840957952 841482240 878735360 897581056 985497600 1006632960 1051197440 1051852800 1054482432 1073741824 1098419200 1121976320 1258291200 1261436928 1313996800 1318103040 1342177280 1346371584 1402470400 1405976576 1576796160 1610612736 1647628800 1677721600 1681915904 1682964480 1757470720 1795162112 1970995200 2013265920 2102394880 2103705600 2108964864 2147483648 2196838400 2243952640 2516582400 2522873856 2627993600 2636206080 2684354560 2692743168 2804940800 2811953152 3153592320 3221225472 3295257600 3355443200 3363831808 3365928960 3514941440 3590324224 3941990400 4026531840 4204789760 4207411200 4217929728 4294967296 4393676800 4487905280 5033164800 5045747712 5255987200 5272412160 5368709120 5385486336 5609881600 5623906304 6307184640 6442450944 6590515200 6710886400 6727663616 6731857920 7029882880 7180648448 7883980800 8053063680 8409579520 8414822400 8435859456 8787353600 8975810560 10066329600 10091495424 10511974400 10544824320 10737418240 10770972672 11219763200 11247812608 12614369280 12884901888 13181030400 13421772800 13455327232 13463715840 14059765760 14361296896 15767961600 16106127360 16819159040 16829644800 16871718912 17574707200 17951621120 20132659200 20182990848 21023948800 21089648640 21474836480 21541945344 22439526400 22495625216 25228738560 26362060800 26843545600 26910654464 26927431680 28119531520 28722593792 31535923200 32212254720 33638318080 33659289600 33743437824 35149414400 35903242240 40265318400 40365981696 42047897600 42179297280 43083890688 44879052800 44991250432 50457477120 52724121600 53687091200 53821308928 53854863360 56239063040 57445187584 63071846400 64424509440 67276636160 67318579200 67486875648 70298828800 71806484480 80530636800 80731963392 84095795200 84358594560 86167781376 89758105600 89982500864 100914954240 105448243200 107374182400 107642617856 107709726720 112478126080 114890375168 126143692800 134553272320 134637158400 134973751296 140597657600 143612968960 161061273600 161463926784 168191590400 168717189120 172335562752 179516211200 179965001728 201829908480 210896486400 215285235712 215419453440 224956252160 229780750336 252287385600 269106544640 269274316800 269947502592 281195315200 287225937920 322122547200 322927853568 336383180800 337434378240 344671125504 359032422400 359930003456 403659816960 421792972800 430570471424 430838906880 449912504320 459561500672 504574771200 538213089280 538548633600 539895005184 562390630400 574451875840 645855707136 672766361600 674868756480 689342251008 718064844800 719860006912 807319633920 843585945600 861140942848 861677813760 899825008640 1009149542400 1076426178560 1077097267200 1079790010368 1124781260800 1148903751680 1291711414272 1345532723200 1349737512960 1378684502016 1436129689600 1439720013824 1614639267840 1687171891200 1722281885696 1723355627520 1799650017280 2018299084800 2152852357120 2154194534400 2159580020736 2249562521600 2297807503360 2583422828544 2691065446400 2699475025920 2872259379200 2879440027648 3229278535680 3374343782400 3446711255040 3599300034560 4036598169600 4305704714240 4308389068800 4319160041472 4499125043200 5166845657088 5382130892800 5398950051840 5744518758400 5758880055296 6458557071360 6748687564800 6893422510080 7198600069120 8073196339200 8611409428480 8616778137600 8638320082944 8998250086400 10764261785600 10797900103680 11489037516800 11517760110592 12917114142720 13497375129600 14397200138240 16146392678400 17233556275200 17276640165888 17996500172800 21528523571200 21595800207360 23035520221184 25834228285440 26994750259200 28794400276480 32292785356800 34467112550400 34553280331776 35993000345600 43057047142400 43191600414720 46071040442368 53989500518400 57588800552960 64585570713600 69106560663552 71986000691200 86383200829440 92142080884736 107979001036800 115177601105920 129171141427200 138213121327104 143972001382400 172766401658880 184284161769472 215958002073600 230355202211840 276426242654208 287944002764800 345532803317760 431916004147200 460710404423680 552852485308416 575888005529600 691065606635520 863832008294400 921420808847360 1151776011059200 1382131213271040 1727664016588800 2303552022118400 2764262426542080 3455328033177600 4607104044236800 6910656066355200 13821312132710400
- Sum of all divisors σ(n): 46244634425154144
- Sum of proper divisors (its aliquot sum) s(n): 32423322292443744
- 13821312132710400 is an abundant number, because the sum of its proper divisors (32423322292443744) is greater than itself. Its abundance is 18602010159733344
Bases of 13821312132710400
- Binary: 1100010001101001101001000000000000000000000000000000002
- Hexadecimal: 0x311A6900000000
- Base-36: 3S38V5040LC
Squares and roots of 13821312132710400
- 13821312132710400 squared (138213121327104002) is 191028669069807705701650268160000
- 13821312132710400 cubed (138213121327104003) is 2640266861510053164228495817871313667620864000000
-
The
square root of 13821312132710400 is 117564076.7101515581 -
The
cube root of 13821312132710400 is 239984.4442042047
Scales and comparisons
How big is 13821312132710400?- 13,821,312,132,710,400 seconds is equal to 439,474,973 years, 36 weeks, 21 hours, 20 minutes.
-
To count from 1 to 13,821,312,132,710,400 would take you about one billion, three hundred eighteen million, four hundred twenty-four thousand, nine hundred twenty-one 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 13821312132710400 cubic inches would be around 19998.7 feet tall.
Recreational maths with 13821312132710400
- 13821312132710400 backwards is 00401723121312831
- The number of decimal digits it has is: 17
- The sum of 13821312132710400's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13821312132710400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 13821312132710400 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13821312132710400/
Chicago style:
Numbermatics. 2024. "Number 13821312132710400 - Facts about the integer". https://numbermatics.com/n/13821312132710400/
The information we have on file for 13821312132710400 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!
Keywords: Divisors of 13821312132710400, math, Factors of 13821312132710400, curriculum, school, college, exams, university, Prime factorization of 13821312132710400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty-one trillion, three hundred twelve billion, one hundred thirty-two million, seven hundred ten thousand, four hundred.