13380948225280125
13,380,948,225,280,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 13380948225280125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
13380948225280125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 13380948225280125:
34 × 53 × 75 × 23 × 434
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 23 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 13380948225280125 from the Numbermatics database.
Names of 13380948225280125
- Cardinal: 13380948225280125 can be written as Thirteen quadrillion, three hundred eighty trillion, nine hundred forty-eight billion, two hundred twenty-five million, two hundred eighty thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3380948225280125 × 1016
Factors of 13380948225280125
Divisors of 13380948225280125
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 3 5 7 9 15 21 23 25 27 35 43 45 49 63 69 75 81 105 115 125 129 135 147 161 175 189 207 215 225 245 301 315 343 345 375 387 405 441 483 525 567 575 621 645 675 735 805 875 903 945 989 1029 1035 1075 1125 1127 1161 1225 1323 1449 1505 1575 1715 1725 1849 1863 1935 2025 2107 2205 2401 2415 2625 2709 2835 2875 2967 3087 3105 3225 3375 3381 3483 3675 3969 4025 4347 4515 4725 4945 5145 5175 5375 5547 5635 5805 6125 6321 6615 6923 7203 7245 7525 7875 7889 8127 8575 8625 8901 9245 9261 9315 9675 10125 10143 10535 11025 12005 12075 12943 13041 13545 14175 14749 14835 15435 15525 16125 16641 16807 16905 17415 18375 18963 19845 20125 20769 21609 21735 22575 23625 23667 24381 24725 25725 25875 26703 27735 27783 28175 29025 30429 31605 33075 34615 36015 36225 37625 38829 39445 40635 42527 42875 44247 44505 46225 46305 46575 48375 48461 49923 50421 50715 52675 55125 55223 56889 60025 60375 62307 64715 64827 65205 67725 70875 71001 73745 74175 77175 77625 79507 80109 83205 84035 84525 87075 90601 91287 94815 99225 103243 103845 108045 108675 112875 116487 118335 121905 123625 127581 128625 132741 133515 138675 138915 140875 145125 145383 149769 151263 152145 158025 165375 165669 170667 173075 180075 181125 186921 194145 194481 197225 203175 212635 213003 221235 222525 231125 231525 232875 238521 242305 249615 252105 253575 263375 271803 276115 284445 297689 300125 309729 311535 323575 324135 326025 338625 339227 349461 355005 368725 370875 382743 385875 386561 397535 398223 400545 416025 420175 422625 435375 436149 453005 453789 456435 474075 496125 497007 516215 519225 540225 543375 556549 560763 582435 591675 609525 634207 637905 639009 663705 667575 693375 694575 715563 722701 726915 748845 756315 760725 790125 815409 828345 853335 865375 893067 900375 929187 934605 970725 972405 986125 1015875 1017681 1048383 1063175 1065015 1106175 1112625 1148229 1157625 1159683 1192605 1194669 1211525 1248075 1260525 1267875 1308447 1359015 1361367 1380575 1422225 1488445 1491021 1548645 1557675 1617875 1620675 1630125 1669647 1696135 1747305 1775025 1828661 1843625 1902621 1913715 1932805 1987675 1991115 2002725 2080125 2083823 2100875 2146689 2168103 2180745 2265025 2268945 2282175 2370375 2374589 2446227 2485035 2581075 2596125 2679201 2701125 2782745 2787561 2803815 2912175 2958375 3047625 3053043 3171035 3189525 3195045 3318525 3337875 3418801 3444687 3472875 3479049 3577815 3613505 3634575 3744225 3781575 3803625 3895843 3925341 4077045 4141725 4266675 4439449 4465335 4473063 4645935 4673025 4853625 4862025 5008941 5088405 5241915 5315875 5325075 5485983 5530875 5707863 5741145 5798415 5963025 5973345 6057625 6240375 6251469 6302625 6440067 6504309 6542235 6795075 6806835 6902875 7111125 7123767 7338681 7442225 7455105 7743225 7788375 8037603 8103375 8348235 8362683 8480675 8736525 8875125 9143305 9159129 9513105 9568575 9664025 9938375 9955575 10013625 10256403 10419115 10437147 10733445 10840515 10903725 11325125 11344725 11410875 11687529 11872945 12231135 12425175 12800627 12905375 13318347 13396005 13913725 13937805 14019075 14560875 14586761 15026823 15265215 15855175 15947625 15975225 16457949 16592625 16622123 17094005 17123589 17223435 17395245 17889075 18067525 18172875 18721125 18754407 18907875 19479215 19512927 19626705 20385225 20708625 21333375 21371301 22197245 22326675 22365315 23229675 23365125 23931607 24112809 24310125 25044705 25442025 26209575 26625375 27270901 27429915 27477387 28539315 28705725 28992075 29815125 29866725 30769209 31076143 31257345 31311441 32200335 32521545 32711175 33975375 34034175 35062587 35618835 36693405 37211125 37275525 38401881 38716125 39955041 40188015 41741175 41813415 42403375 43682625 43760283 45080469 45716525 45795645 47565525 47842875 48320125 49373847 49777875 49866369 51282015 51370767 52095575 52185735 53667225 54202575 54518625 56263221 56723625 58437645 58538781 59364725 61155675 62125875 64003135 64113903 66591735 66980025 69568625 69689025 70095375 71794821 72933805 75134115 76326075 78632423 79275875 79876125 81812703 82289745 83110615 85470025 85617945 86117175 86976225 89445375 89604389 90337625 92307627 93228429 93772035 97396075 97564635 98133525 101926125 102107327 105187761 106856505 110986225 111633375 111826575 115205643 116148375 119658035 119865123 120564045 125223525 127210125 131047875 131280849 136354505 137149575 137386935 142696575 143528625 144960375 148121541 149333625 149599107 153846045 155380715 156286725 156557205 161001675 162607725 163555875 167521249 168789663 170170875 175312935 178094175 183467025 186377625 190896307 192009405 192341709 199775205 200940075 208705875 209067075 215384463 218801415 225402345 228582625 228978225 235897269 237827625 245438109 246869235 249331845 256410075 256853835 260477875 260928675 268336125 268813167 271012875 276922881 279685287 281316105 292188225 292693905 296823625 305778375 306321981 315563283 320015675 320569515 332958675 334900125 345616929 348445125 358974105 359595369 364669025 375670575 381630375 393162115 393842547 409063515 411448725 415553075 427350125 428089725 430585875 434881125 448021945 448797321 461538135 466142145 468860175 486980375 487823175 490667625 502563747 510536635 525938805 534282525 550426961 554931125 559132875 572688921 576028215 598290175 599325615 602820225 626117625 627230723 646153389 656404245 681772525 685747875 686934675 707691807 713482875 714751289 736314327 740607705 747995535 769230225 776903575 781433625 782786025 805008375 806439501 813038625 837606245 839055861 843948315 876564675 890470875 917335125 918965943 954481535 960047025 961708545 998876025 1004700375 1036850787 1045335375 1076922315 1094007075 1127011725 1144891125 1172648743 1179486345 1181527641 1227190545 1234346175 1246659225 1282050375 1284269175 1304643375 1336274149 1344065835 1346391963 1384614405 1398426435 1406580525 1460941125 1463469525 1507691241 1531609905 1577816415 1600078375 1602847575 1651280883 1664793375 1718066763 1728084645 1794870525 1797976845 1823345125 1878352875 1881692169 1938460167 1965810575 1969212735 2045317575 2057243625 2077765375 2123075421 2140448625 2144253867 2208942981 2240109725 2243986605 2307690675 2330710725 2344300875 2419318503 2439115875 2512818735 2517167583 2552683175 2629694025 2671412625 2752134805 2756897829 2863444605 2880141075 2991450875 2996628075 3014101125 3136153615 3230766945 3282021225 3408862625 3434673375 3517946229 3538459035 3573756445 3681571635 3703038525 3739977675 3846151125 3852988727 3884517875 3913930125 4008822447 4032197505 4188031225 4195279305 4219741575 4382823375 4390615061 4523073723 4594829715 4772407675 4800235125 4808542725 4953842649 4994380125 5154200289 5184253935 5384611575 5470035375 5635058625 5645076507 5863243715 5897431725 5907638205 6135952725 6171730875 6233296125 6369226263 6421345875 6432761601 6681370745 6720329175 6731959815 6923072025 6992132175 7032902625 7257955509 7317347625 7538456205 7658049525 7889082075 8014237875 8208541201 8256404415 8270693487 8590333815 8640423225 8974352625 8989884225 9408460845 9692300835 9829052875 9846063675 10226587875 10553838687 10615377105 10721269335 11044714905 11200548625 11219933025 11538453375 11558966181 11653553625 12026467341 12096592515 12564093675 12585837915 12763415875 13148470125 13171845183 13569221169 13760674025 13784489145 14317223025 14400705375 14861527947 14983140375 15462600867 15680768075 16153834725 16410106125 16935229521 17589731145 17692295175 17868782225 18407858175 18515192625 18699888375 19264943635 19298284803 20044112235 20160987525 20940156125 20976396525 21098707875 21953075305 22615368615 22974148575 23862038375 24042713625 24625623603 24769213245 25771001445 25921269675 26923057875 26970921089 28225382535 29316218575 29487158625 29538191025 30679763625 30734305427 31661516061 31846131315 32163808005 33406853725 33601645875 33659799075 34615360125 34676898543 34960660875 36079402023 36289777545 37692281025 38290247625 39445410375 39515535549 41042706005 41282022075 41353467435 42951669075 43202116125 44584583841 44949421125 47042304225 48461504175 49230318375 50805688563 52769193435 53076885525 53606346675 55223574525 56099665125 57459788407 57794830905 57894854409 60132336705 60482962575 62820468375 62929189575 65859225915 67846105845 68803370125 68922445725 71586115125 73876870809 74307639735 77313004335 78403840375 80769173625 80912763267 84676147605 87948655725 88461475875 89343911125 92039290875 92202916281 94984548183 96324718175 96491424015 100220561175 100804937625 104030695629 104881982625 108238206069 109765376525 113076843075 114870742875 118546606647 123128118015 123846066225 128855007225 129606348375 134854605445 141126912675 146581092875 147690955125 153671527135 158307580305 159230656575 160819040025 167034268625 168298995375 172379365221 173384492715 180397010115 181448887725 188461405125 188796447623 197577677745 205213530025 206410110375 206767337175 214758345375 221630612427 222922919205 235211521125 242307520875 242738289801 254028442815 263845967175 265384427625 268031733375 276117872625 276608748843 287298942035 288974154525 289474272045 300661683525 302414812875 312092086887 314645947875 329296129575 339230529225 344612228625 355639819941 369384354045 371538198675 386565021675 404563816335 423380738025 439743278625 461014581405 474922740915 481623590875 482457120075 501102805875 517138095663 520153478145 541191030345 548826882625 565384215375 566389342869 592733033235 615640590075 619230331125 644275036125 664891837281 674273027225 705634563375 728214869403 768357635675 791537901525 796153282875 804095200125 829826246529 861896826105 866922463575 901985050575 907244438625 943982238115 987888388725 1026067650125 1033836685875 1108153062135 1114614596025 1213691449005 1270142214075 1319229835875 1321575133361 1383043744215 1436494710175 1444870772625 1447371360225 1503308417625 1551414286989 1560460434435 1646480647875 1696152646125 1699168028607 1778199099705 1846921770225 1857690993375 1932825108375 2022819081675 2116903690125 2184644608209 2305072907025 2374613704575 2412285600375 2489478739587 2585690478315 2600767390725 2705955151725 2831946714345 2963665166175 3078202950375 3324459186405 3371365136125 3641074347015 3841788178375 3957689507625 3964725400083 4149131232645 4309484130525 4334612317875 4509925252875 4654242860967 4719911190575 4939441943625 5097504085821 5540765310675 5573072980125 6068457245025 6350711070375 6607875666805 6915218721075 7182473550875 7236856801125 7757071434945 7802302172175 8495840143035 8890995498525 9234608851125 10114095408375 10923223041045 11525364535125 11873068522875 11894176200249 12447393697935 12928452391575 13003836953625 13529775758625 14159733571725 14818325830875 15292512257463 16622295932025 18205371735075 19823627000415 20745656163225 21547420652625 23271214304835 23599555952875 25487520429105 27703826553375 30342286225125 33039378334025 34576093605375 35682528600747 38785357174725 39011510860875 42479200715175 44454977492625 54616115205225 59470881001245 62236968489675 64642261957875 70798667858625 76462561287315 83111479660125 91026858675375 99118135002075 103728280816125 107047585802241 116356071524175 127437602145525 165196891670125 178412643003735 193926785873625 212396003575875 273080576026125 297354405006225 311184842448375 382312806436575 495590675010375 535237929011205 581780357620875 637188010727625 892063215018675 1486772025031125 1911564032182875 2676189645056025 4460316075093375 13380948225280125
- Sum of all divisors σ(n): 31091916533812992
- Sum of proper divisors (its aliquot sum) s(n): 17710968308532867
- 13380948225280125 is an abundant number, because the sum of its proper divisors (17710968308532867) is greater than itself. Its abundance is 4330020083252742
Bases of 13380948225280125
- Binary: 1011111000100111100110110010011011100111001000011111012
- Hexadecimal: 0x2F89E6C9B9C87D
- Base-36: 3NR5ER3HIT9
Squares and roots of 13380948225280125
- 13380948225280125 squared (133809482252801252) is 179049775407627326868134720015625
- 13380948225280125 cubed (133809482252801253) is 2395855774477495849253723695792885554460001953125
-
The
square root of 13380948225280125 is 115676048.6240782907 -
The
cube root of 13380948225280125 is 237408.1534437207
Scales and comparisons
How big is 13380948225280125?- 13,380,948,225,280,125 seconds is equal to 425,472,763 years, 29 weeks, 5 days, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,380,948,225,280,125 would take you about one billion, two hundred seventy-six million, four hundred eighteen thousand, two hundred ninety 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 13380948225280125 cubic inches would be around 19784 feet tall.
Recreational maths with 13380948225280125
- 13380948225280125 backwards is 52108252284908331
- 13380948225280125 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13380948225280125's digits is 63
- More coming soon!
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"Number 13380948225280125 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 13380948225280125 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/13380948225280125/
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The information we have on file for 13380948225280125 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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