13887284439142400
13,887,284,439,142,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13887284439142400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
13887284439142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13887284439142400:
212 × 52 × 11 × 13 × 53 × 127 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 53 × 127 × 140897)See below for interesting mathematical facts about the number 13887284439142400 from the Numbermatics database.
Names of 13887284439142400
- Cardinal: 13887284439142400 can be written as Thirteen quadrillion, eight hundred eighty-seven trillion, two hundred eighty-four billion, four hundred thirty-nine million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.38872844391424 × 1016
Factors of 13887284439142400
Divisors of 13887284439142400
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 53 55 64 65 80 88 100 104 106 110 127 128 130 143 160 176 200 208 212 220 254 256 260 265 275 286 320 325 352 400 416 424 440 508 512 520 530 550 572 583 635 640 650 689 704 715 800 832 848 880 1016 1024 1040 1060 1100 1144 1166 1270 1280 1300 1325 1378 1397 1408 1430 1600 1651 1664 1696 1760 2032 2048 2080 2120 2200 2288 2332 2540 2560 2600 2650 2756 2794 2816 2860 2915 3175 3200 3302 3328 3392 3445 3520 3575 4064 4096 4160 4240 4400 4576 4664 5080 5120 5200 5300 5512 5588 5632 5720 5830 6350 6400 6604 6656 6731 6784 6890 6985 7040 7150 7579 8128 8255 8320 8480 8800 9152 9328 10160 10240 10400 10600 11024 11176 11264 11440 11660 12700 12800 13208 13312 13462 13568 13780 13970 14080 14300 14575 15158 16256 16510 16640 16960 17225 17600 18161 18304 18656 20320 20480 20800 21200 22048 22352 22528 22880 23320 25400 25600 26416 26624 26924 27136 27560 27940 28160 28600 29150 30316 32512 33020 33280 33655 33920 34450 34925 35200 36322 36608 37312 37895 40640 41275 41600 42400 44096 44704 45056 45760 46640 50800 51200 52832 53248 53848 54272 55120 55880 56320 57200 58300 60632 65024 66040 66560 67310 67840 68900 69850 70400 72644 73216 74041 74624 75790 81280 82550 83200 84800 87503 88192 89408 90805 91520 93280 101600 102400 105664 107696 108544 110240 111760 112640 114400 116600 121264 130048 132080 133120 134620 135680 137800 139700 140800 140897 145288 146432 148082 149248 151580 162560 165100 166400 168275 169600 175006 176384 178816 181610 183040 186560 189475 203200 211328 215392 217088 220480 223520 225280 228800 233200 242528 260096 264160 266240 269240 271360 275600 279400 281600 281794 290576 292864 296164 298496 303160 325120 330200 332800 336550 339200 350012 352768 357632 363220 366080 370205 373120 378950 406400 422656 430784 437515 440960 447040 454025 457600 466400 485056 520192 528320 538480 542720 551200 558800 563200 563588 581152 585728 592328 596992 606320 650240 660400 665600 673100 678400 700024 704485 705536 715264 726440 732160 740410 746240 757900 812800 845312 861568 875030 881920 894080 908050 915200 932800 962533 970112 1056640 1076960 1085440 1102400 1117600 1126400 1127176 1162304 1184656 1193984 1212640 1300480 1320800 1331200 1346200 1356800 1400048 1408970 1411072 1430528 1452880 1464320 1480820 1492480 1515800 1549867 1625600 1690624 1723136 1750060 1763840 1788160 1816100 1830400 1831661 1851025 1865600 1925066 1940224 2113280 2153920 2187575 2204800 2235200 2254352 2324608 2369312 2387968 2425280 2600960 2641600 2692400 2713600 2800096 2817940 2822144 2861056 2905760 2928640 2961640 2984960 3031600 3099734 3251200 3381248 3446272 3500120 3522425 3527680 3576320 3632200 3660800 3663322 3702050 3731200 3850132 3880448 4226560 4307840 4375150 4409600 4470400 4508704 4649216 4738624 4812665 4850560 5283200 5384800 5427200 5600192 5635880 5722112 5811520 5923280 5969920 6063200 6199468 6502400 6762496 6892544 7000240 7044850 7055360 7152640 7264400 7321600 7326644 7404100 7462400 7467541 7700264 7749335 7760896 8453120 8615680 8750300 8819200 8940800 9017408 9158305 9298432 9477248 9625330 9701120 10566400 10769600 11200384 11271760 11623040 11846560 11939840 12126400 12398936 13004800 13785088 14000480 14089700 14110720 14305280 14528800 14643200 14653288 14808200 14924800 14935082 15400528 15498670 15521792 16906240 17231360 17500600 17638400 17881600 17893919 18034816 18316610 18596864 18954496 19250660 19402240 20148271 21132800 21539200 22400768 22543520 23246080 23693120 24063325 24252800 24797872 27570176 28000960 28179400 28610560 29057600 29306576 29616400 29849600 29870164 30801056 30997340 31043584 33812480 34462720 35001200 35276800 35763200 35787838 36069632 36633220 37193728 37337705 37908992 38501320 38746675 38804480 40296542 42265600 43078400 44801536 45087040 45791525 46492160 47386240 48126650 48505600 49595744 56001920 56358800 58115200 58613152 59232800 59699200 59740328 61602112 61994680 68925440 70002400 70553600 71526400 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485390165 492816896 495957440 503706775 560019200 572605408 577114112 586131520 597403280 616021120 619946800 644744672 657143608 689254400 715756760 721392640 732664400 746754100 758179840 770026400 776089600 776624264 787332436 793531904 805930840 821429510 894695950 896030720 901740800 929843200 930483788 937810432 947724800 948377707 955845248 970780330 984165545 985633792 991914880 1007413550 1067858363 1120038400 1145210816 1163104735 1172263040 1194806560 1232042240 1239893600 1289489344 1314287216 1431513520 1442785280 1465328800 1493508200 1516359680 1540052800 1553248528 1574664872 1587063808 1611861680 1642859020 1789391900 1792061440 1803481600 1859686400 1860967576 1875620864 1895449600 1896755414 1911690496 1941560660 1968331090 1971267584 1983829760 2014827100 2053573775 2135716726 2240076800 2290421632 2326209470 2344526080 2389613120 2426950825 2464084480 2479787200 2558830417 2578978688 2628574432 2863027040 2885570560 2930657600 2987016400 3080105600 3106497056 3149329744 3174127616 3223723360 3285718040 3578783800 3606963200 3721935152 3751241728 3790899200 3793510828 3823380992 3883121320 3936662180 3942535168 3967659520 4029654200 4107147550 4271433452 4480153600 4580843264 4652418940 4689052160 4741888535 4779226240 4853901650 4920827725 4928168960 4959574400 5117660834 5157957376 5257148864 5339291815 5726054080 5815523675 5861315200 5974032800 6160211200 6212994112 6298659488 6348255232 6447446720 6571436080 7157567600 7213926400 7443870304 7502483456 7581798400 7587021656 7646761984 7766242640 7873324360 7935319040 8059308400 8214295100 8542866904 8960307200 9161686528 9304837880 9378104320 9483777070 9558452480 9707803300 9841655450 9856337920 9919148800 10235321668 10315914752 10432154777 10514297728 10678583630 11452108160 11631047350 11722630400 11948065600 12320422400 12328910191 12425988224 12597318976 12794152085 12894893440 13142872160 14315135200 14427852800 14887740608 15174043312 15293523968 15532485280 15746648720 15870638080 16118616800 16428590200 17085733808 18323373056 18609675760 18756208640 18967554140 19116904960 19415606600 19683310900 19712675840 19838297600 20470643336 20631829504 20864309554 21028595456 21357167260 22904216320 23262094700 23445260800 23709442675 23896131200 24640844800 24657820382 24851976448 25194637952 25588304170 25789786880 26285744320 26696459075 28630270400 29775481216 30348086624 30587047936 31064970560 31493297440 31741276160 32237233600 32857180400 34171467616 36646746112 37219351520 37512417280 37935108280 38233809920 38831213200 39366621800 39676595200 40941286672 41263659008 41728619108 42057190912 42714334520 45808432640 46524189400 46890521600 47418885350 47792262400 49281689600 49315640764 49703952896 50389275904 51176608340 51579573760 52160773885 52571488640 53392918150 57260540800 59550962432 60696173248 61644550955 62129941120 62986594880 63970760425 64474467200 65714360800 68342935232 73293492224 74438703040 75870216560 76467619840 77662426400 78733243600 79353190400 81882573344 82527318016 83457238216 84114381824 85428669040 91616865280 93048378800 93781043200 94837770700 95584524800 98563379200 98631281528 99407905792 100778551808 102353216680 103159147520 104321547770 105142977280 106785836300 114521081600 119101924864 121392346496 123289101910 124259882240 125973189760 127941520850 128948934400 131428721600 135618012101 136685870464 148877406080 151740433120 152935239680 155324852800 157466487200 158706380800 163765146688 166914476432 168228763648 170857338080 183233730560 186096757600 187562086400 189675541400 191169049600 197262563056 198815811584 201557103616 204706433360 206318295040 208643095540 210285954560 213571672600 229042163200 238203849728 242784692992 246578203820 248519764480 251946379520 255883041700 257897868800 260803869425 262857443200 271236024202 273371740928 297754812160 303480866240 308222754775 310649705600 314932974400 327530293376 333828952864 336457527296 341714676160 366467461120 372193515200 379351082800 382338099200 394525126112 397631623168 403114207232 409412866720 412636590080 417286191080 420571909120 427143345200 458084326400 476407699456 485569385984 493156407640 497039528960 503892759040 511766083400 515795737600 521607738850 525714886400 542472048404 546743481856 595509624320 606961732480 616445509550 621299411200 629865948800 655060586752 667657905728 678090060505 683429352320 744387030400 758702165600 764676198400 789050252224 806228414464 818825733440 834572382160 841143818240 854286690400 916168652800 952815398912 971138771968 986312815280 994079057920 1007785518080 1023532166800 1031591475200 1043215477700 1051429772800 1084944096808 1093486963712 1191019248640 1213923464960 1232891019100 1242598822400 1259731897600 1310121173504 1335315811456 1356180121010 1366858704640 1488774060800 1517404331200 1578100504448 1637651466880 1669144764320 1682287636480 1708573380800 1832337305600 1942277543936 1972625630560 1988158115840 2015571036160 2047064333600 2063182950400 2086430955400 2102859545600 2169888193616 2186973927424 2382038497280 2427846929920 2465782038200 2485197644800 2519463795200 2620242347008 2670631622912 2712360242020 2733717409280 2977548121600 3034808662400 3156201008896 3275302933760 3338289528640 3390450302525 3417146761600 3884555087872 3945251261120 4031142072320 4094128667200 4172861910800 4205719091200 4339776387232 4373947854848 4764076994560 4855693859840 4931564076400 4970395289600 5038927590400 5240484694016 5341263245824 5424720484040 5467434818560 5955096243200 6069617324800 6312402017792 6550605867520 6676579057280 6780900605050 6834293523200 7890502522240 8188257334400 8345723821600 8411438182400 8679552774464 9711387719680 9863128152800 9940790579200 10077855180800 10480969388032 10682526491648 10849440968080 10934869637120 11910192486400 12139234649600 12624804035584 13101211735040 13353158114560 13561801210100 13668587046400 15781005044480 16376514668800 16691447643200 17359105548928 19422775439360 19726256305600 20155710361600 21365052983296 21698881936160 21869739274240 23820384972800 24278469299200 25249608071168 26202423470080 26706316229120 27123602420200 27337174092800 31562010088960 32753029337600 33382895286400 34718211097856 39452512611200 42730105966592 43397763872320 48556938598400 50499216142336 52404846940160 53412632458240 54247204840400 54674348185600 63124020177920 65506058675200 66765790572800 69436422195712 78905025222400 86795527744640 97113877196800 106825264916480 108494409680800 109348696371200 126248040355840 131012117350400 133531581145600 138872844391424 157810050444800 173591055489280 213650529832960 216988819361600 252496080711680 262024234700800 267063162291200 277745688782848 315620100889600 347182110978560 433977638723200 534126324582400 555491377565696 631240201779200 694364221957120 867955277446400 1068252649164800 1262480403558400 1388728443914240 1735910554892800 2777456887828480 3471821109785600 6943642219571200 13887284439142400
- Sum of all divisors σ(n): 41544779611926528
- Sum of proper divisors (its aliquot sum) s(n): 27657495172784128
- 13887284439142400 is an abundant number, because the sum of its proper divisors (27657495172784128) is greater than itself. Its abundance is 13770210733641728
Bases of 13887284439142400
- Binary: 1100010101011001101001010111111110001111010000000000002
- Hexadecimal: 0x3156695FE3D000
- Base-36: 3SQMQEC08OW
Squares and roots of 13887284439142400
- 13887284439142400 squared (138872844391424002) is 192856669093646643329247477760000
- 13887284439142400 cubed (138872844391424003) is 2678255419689034053349776933486531417473024000000
-
The
square root of 13887284439142400 is 117844322.8973818661 -
The
cube root of 13887284439142400 is 240365.6719602939
Scales and comparisons
How big is 13887284439142400?- 13,887,284,439,142,400 seconds is equal to 441,572,688 years, 50 weeks, 4 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,887,284,439,142,400 would take you about one billion, three hundred twenty-four million, seven hundred eighteen thousand and sixty-six 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 13887284439142400 cubic inches would be around 20030.5 feet tall.
Recreational maths with 13887284439142400
- 13887284439142400 backwards is 00424193448278831
- The number of decimal digits it has is: 17
- The sum of 13887284439142400's digits is 68
- More coming soon!
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"Number 13887284439142400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 13887284439142400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13887284439142400/
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The information we have on file for 13887284439142400 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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