13221825721984000
13,221,825,721,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13221825721984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
13221825721984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 13221825721984000:
210 × 53 × 11 × 29 × 61 × 2311 × 2297
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 29 × 61 × 2311 × 2297)See below for interesting mathematical facts about the number 13221825721984000 from the Numbermatics database.
Names of 13221825721984000
- Cardinal: 13221825721984000 can be written as Thirteen quadrillion, two hundred twenty-one trillion, eight hundred twenty-five billion, seven hundred twenty-one million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3221825721984 × 1016
Factors of 13221825721984000
Divisors of 13221825721984000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 61 64 80 88 100 110 116 122 125 128 145 160 176 200 220 232 244 250 256 275 290 305 319 320 352 400 440 464 488 500 512 550 580 610 638 640 671 704 725 800 880 928 976 1000 1024 1100 1160 1220 1276 1280 1342 1375 1408 1450 1525 1595 1600 1760 1769 1856 1952 2000 2200 2297 2311 2320 2440 2552 2560 2684 2750 2816 2900 3050 3190 3200 3355 3520 3538 3625 3712 3904 4000 4400 4594 4622 4640 4880 5104 5120 5368 5500 5632 5800 6100 6380 6400 6710 7040 7076 7250 7424 7625 7808 7975 8000 8800 8845 9188 9244 9280 9760 10208 10736 11000 11264 11485 11555 11600 12200 12760 12800 13420 14080 14152 14500 14848 15250 15616 15950 16000 16775 17600 17690 18376 18488 18560 19459 19520 20416 21472 22000 22970 23110 23200 24400 25267 25421 25520 25600 26840 28160 28304 29000 29696 30500 31232 31900 32000 33550 35200 35380 36752 36976 37120 38918 39040 39875 40832 42944 44000 44225 45940 46220 46400 48800 50534 50842 51040 53680 56320 56608 57425 57775 58000 61000 62464 63800 64000 66613 67019 67100 70400 70760 73504 73952 74240 77836 78080 79750 81664 83875 85888 88000 88450 91880 92440 92800 97295 97600 101068 101684 102080 107360 113216 114850 115550 116000 122000 126335 127105 127600 128000 133226 134038 134200 140117 140800 140971 141520 147008 147904 148480 155672 156160 159500 163328 167750 171776 176000 176900 183760 184880 185600 194590 195200 202136 203368 204160 214720 221125 226432 229700 231100 232000 244000 252670 254210 255200 266452 268076 268400 280234 281600 281942 283040 287125 288875 294016 295808 311344 312320 319000 326656 333065 335095 335500 343552 352000 353800 367520 369760 371200 389180 390400 404272 406736 408320 429440 442250 452864 459400 462200 464000 486475 488000 505340 508420 510400 532904 536152 536800 560468 563884 566080 574250 577750 588032 591616 622688 631675 635525 638000 666130 670190 671000 687104 700585 704000 704855 707600 732743 735040 737209 739520 742400 778360 780800 808544 813472 816640 858880 884500 905728 918800 924400 928000 972950 976000 1010680 1016840 1020800 1065808 1072304 1073600 1120936 1127768 1132160 1148500 1155500 1176064 1183232 1245376 1263350 1271050 1276000 1332260 1340380 1342000 1401170 1408000 1409710 1415200 1465486 1470080 1474418 1479040 1541287 1550681 1556720 1561600 1617088 1626944 1633280 1665325 1675475 1717760 1769000 1811456 1837600 1848800 1856000 1945900 1952000 2021360 2033680 2041600 2131616 2144608 2147200 2241872 2255536 2264320 2297000 2311000 2352128 2366464 2432375 2490752 2526700 2542100 2552000 2664520 2680760 2684000 2802340 2819420 2830400 2930972 2940160 2948836 2958080 3082574 3101362 3113440 3158375 3177625 3234176 3253888 3330650 3350950 3435520 3502925 3524275 3538000 3663715 3675200 3686045 3697600 3712000 3891800 3904000 4042720 4063393 4067360 4083200 4088159 4263232 4289216 4294400 4483744 4511072 4528640 4594000 4622000 4864750 4981504 5053400 5084200 5104000 5308367 5329040 5361520 5368000 5604680 5638840 5660800 5861944 5880320 5897672 5916160 6165148 6202724 6226880 6316750 6355250 6468352 6507776 6661300 6701900 7005850 7048550 7076000 7327430 7350400 7372090 7395200 7706435 7753405 7783600 7808000 8085440 8126786 8134720 8166400 8176318 8326625 8377375 8526464 8578432 8588800 8967488 9022144 9057280 9188000 9244000 9729500 9963008 10106800 10168400 10208000 10616734 10658080 10723040 10736000 11209360 11277680 11321600 11723888 11760640 11795344 11832320 12330296 12405448 12453760 12633500 12710500 12936704 13015552 13322600 13403800 14011700 14097100 14152000 14654860 14700800 14744180 14790400 15412870 15506810 15567200 16170880 16253572 16269440 16352636 16653250 16754750 17052928 17156864 17177600 17514625 17621375 17934976 18044288 18318575 18376000 18430225 18488000 19459000 19926016 20213600 20316965 20336800 20416000 20440795 21233468 21316160 21446080 21472000 22418720 22555360 22643200 23447776 23590688 24660592 24810896 24907520 25267000 25421000 25873408 26031104 26541835 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5180966192 5201143040 5232843520 5308367000 5435767808 5587165375 5621218625 5721257344 5756127872 5839203700 5861944000 5897672000 6157705720 6165148000 6202724000 6476207740 6501428800 6541054400 6773476292 6794709760 7123828514 7151571680 7195159840 7299004625 7474180736 7697132150 7891389440 7939486720 8095259675 8126786000 8176318000 8466845365 8493387200 8526464000 8578432000 8939464600 8967488000 8993949800 9022144000 9342725920 9379110400 9390501223 9436275200 9852329152 9864236800 9924358400 10361932384 10402286080 10465687040 10616734000 11174330750 11242437250 11442514688 11512255744 11678407400 11723888000 11795344000 12315411440 12330296000 12405448000 12952415480 13002857600 13082108800 13546952584 13589419520 14247657028 14303143360 14390319680 14598009250 14948361472 15394264300 16190519350 16253572000 16352636000 16933690730 16986774400 17809571285 17878929200 17934976000 17987899600 18044288000 18685451840 18758220800 18781002446 18872550400 19242830375 19704658304 19728473600 19848716800 20723864768 20804572160 20931374080 21233468000 22348661500 22484874500 22885029376 23024511488 23356814800 23447776000 23590688000 24630822880 24660592000 24810896000 25904830960 26005715200 26164217600 27093905168 27178839040 28495314056 28606286720 28780639360 29196018500 29896722944 30788528600 32381038700 32507144000 32705272000 33867381460 33973548800 35619142570 35757858400 35975799200 37370903680 37562004892 38485660750 39409316608 39456947200 39697433600 40476298375 41447729536 42334226825 42466936000 44697323000 44969749000 45770058752 46049022976 46713629600 46895552000 46952506115 47181376000 49261645760 49321184000 49621792000 51809661920 52011430400 52328435200 54187810336 56990628112 57212573440 57561278720 58392037000 59793445888 61577057200 64762077400 65014288000 65410544000 67734762920 67947097600 71238285140 71515716800 71951598400 74741807360 75124009784 76971321500 78818633216 80952596750 82895459072 84668453650 84933872000 89047856425 89394646000 89939498000 93427259200 93791104000 93905012230 94362752000 98523291520 98642368000 99243584000 103295513453 103619323840 104022860800 104656870400 108375620672 113981256224 114425146880 115122557440 116784074000 123154114400 129524154800 130028576000 130821088000 135469525840 135894195200 142476570280 143031433600 143903196800 149483614720 150248019568 153942643000 157637266432 161905193500 165790918144 169336907300 169867744000 178095712850 178789292000 179878996000 186854518400 187810024460 197046583040 197284736000 198487168000 206591026906 207238647680 211671134125 216751241344 227962512448 228850293760 230245114880 233568148000 234762530575 246308228800 259048309600 260057152000 261642176000 270939051680 284953140560 286062867200 287806393600 298967229440 300496039136 307885286000 323810387000 331581836288 338673814600 339735488000 356191425700 357578584000 359757992000 373709036800 375620048920 394093166080 413182053812 414477295360 423342268250 433502482688 445239282125 455925024896 467136296000 469525061150 492616457600 516477567265 518096619200 520114304000 523284352000 541878103360 569906281120 572125734400 575612787200 600992078272 615770572000 647620774000 677347629200 679470976000 712382851400 715157168000 719515984000 747418073600 751240097840 788186332160 826364107624 828954590720 846684536500 867004965376 890478564250 911850049792 934272592000 939050122300 985232915200 1032955134530 1036193238400 1083756206720 1139812562240 1144251468800 1151225574400 1173812652875 1201984156544 1231541144000 1295241548000 1354695258400 1424765702800 1430314336000 1439031968000 1494836147200 1502480195680 1652728215248 1657909181440 1693369073000 1734009930752 1780957128500 1823700099584 1868545184000 1878100244600 1970465830400 2065910269060 2072386476800 2167512413440 2279625124480 2347625305750 2403968313088 2463082288000 2582387836325 2590483096000 2709390516800 2849531405600 2860628672000 2878063936000 3004960391360 3305456430496 3386738146000 3561914257000 3647400199168 3737090368000 3756200489200 3940931660800 4131820538120 4144772953600 4335024826880 4559250248960 4695250611500 4807936626176 4926164576000 5164775672650 5180966192000 5418781033600 5699062811200 5721257344000 5756127872000 6009920782720 6610912860992 6773476292000 7123828514000 7474180736000 7512400978400 8263641076240 8289545907200 8670049653760 9118500497920 9390501223000 9615873252352 9852329152000 10329551345300 10361932384000 10837562067200 11398125622400 12019841565440 12911939181625 13221825721984 13546952584000 14247657028000 15024801956800 16527282152480 18237000995840 18781002446000 19704658304000 20659102690600 20723864768000 21675124134400 22796251244800 24039683130880 25823878363250 26443651443968 27093905168000 28495314056000 30049603913600 33054564304960 37562004892000 41318205381200 41447729536000 43350248268800 45592502489600 48079366261760 51647756726500 52887302887936 54187810336000 56990628112000 60099207827200 66109128609920 75124009784000 82636410762400 91185004979200 103295513453000 105774605775872 108375620672000 113981256224000 120198415654400 132218257219840 150248019568000 165272821524800 206591026906000 216751241344000 227962512448000 240396831308800 264436514439680 300496039136000 330545643049600 413182053812000 455925024896000 528873028879360 600992078272000 661091286099200 826364107624000 1201984156544000 1322182572198400 1652728215248000 2644365144396800 3305456430496000 6610912860992000 13221825721984000
- Sum of all divisors σ(n): 37868184585354240
- Sum of proper divisors (its aliquot sum) s(n): 24646358863370240
- 13221825721984000 is an abundant number, because the sum of its proper divisors (24646358863370240) is greater than itself. Its abundance is 11424533141386240
Bases of 13221825721984000
- Binary: 1011101111100100101110001100010111000011100100000000002
- Hexadecimal: 0x2EF92E3170E400
- Base-36: 3M6QUVTG1DS
Squares and roots of 13221825721984000
- 13221825721984000 squared (132218257219840002) is 174816675422517722860896256000000
- 13221825721984000 cubed (132218257219840003) is 2311395615733172979316305261988522491904000000000
-
The
square root of 13221825721984000 is 114986197.9629903235 -
The
cube root of 13221825721984000 is 236463.3344698815
Scales and comparisons
How big is 13221825721984000?- 13,221,825,721,984,000 seconds is equal to 420,413,160 years, 8 weeks, 4 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,221,825,721,984,000 would take you about one billion, two hundred sixty-one million, two hundred thirty-nine thousand, four hundred eighty 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 13221825721984000 cubic inches would be around 19705.3 feet tall.
Recreational maths with 13221825721984000
- 13221825721984000 backwards is 00048912752812231
- 13221825721984000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13221825721984000's digits is 55
- More coming soon!
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"Number 13221825721984000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 13221825721984000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13221825721984000/
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The information we have on file for 13221825721984000 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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