13138666684416
13,138,666,684,416 is an even composite number composed of six prime numbers multiplied together.
13138666684416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13138666684416:
215 × 34 × 72 × 13 × 19 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 409)See below for interesting mathematical facts about the number 13138666684416 from the Numbermatics database.
Names of 13138666684416
- Cardinal: 13138666684416 can be written as Thirteen trillion, one hundred thirty-eight billion, six hundred sixty-six million, six hundred eighty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3138666684416 × 1013
Factors of 13138666684416
Divisors of 13138666684416
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 64 72 76 78 81 84 91 96 98 104 108 112 114 117 126 128 133 144 147 152 156 162 168 171 182 189 192 196 208 216 224 228 234 247 252 256 266 273 288 294 304 312 324 336 342 351 364 378 384 392 399 409 416 432 441 448 456 468 494 504 512 513 532 546 567 576 588 608 624 637 648 672 684 702 728 741 756 768 784 798 818 819 832 864 882 896 912 931 936 988 1008 1024 1026 1053 1064 1092 1134 1152 1176 1197 1216 1227 1248 1274 1296 1323 1344 1368 1404 1456 1482 1512 1536 1539 1568 1596 1636 1638 1664 1728 1729 1764 1792 1824 1862 1872 1911 1976 2016 2048 2052 2106 2128 2184 2223 2268 2304 2352 2394 2432 2454 2457 2496 2548 2592 2646 2688 2736 2793 2808 2863 2912 2964 3024 3072 3078 3136 3192 3272 3276 3328 3456 3458 3528 3584 3591 3648 3681 3724 3744 3822 3952 3969 4032 4096 4104 4212 4256 4368 4446 4536 4608 4704 4788 4864 4908 4914 4992 5096 5184 5187 5292 5317 5376 5472 5586 5616 5726 5733 5824 5928 6048 6144 6156 6272 6384 6544 6552 6656 6669 6912 6916 7056 7168 7182 7296 7362 7371 7448 7488 7644 7771 7904 7938 8064 8192 8208 8379 8424 8512 8589 8736 8892 9072 9216 9408 9576 9728 9816 9828 9984 10192 10368 10374 10584 10634 10752 10773 10944 11043 11172 11232 11452 11466 11648 11856 12096 12103 12288 12312 12544 12768 13088 13104 13312 13338 13824 13832 14112 14336 14364 14592 14724 14742 14896 14976 15288 15542 15561 15808 15876 15951 16128 16384 16416 16758 16848 17024 17178 17199 17472 17784 18144 18432 18816 19152 19456 19632 19656 19968 20007 20041 20384 20736 20748 21168 21268 21504 21546 21888 22086 22344 22464 22904 22932 23296 23313 23712 24192 24206 24576 24624 25088 25137 25536 25767 26176 26208 26624 26676 27648 27664 28224 28672 28728 29184 29448 29484 29792 29952 30576 31084 31122 31616 31752 31902 32256 32768 32832 33129 33516 33696 34048 34356 34398 34944 35568 36288 36309 36864 37219 37632 38304 38912 39264 39312 39936 40014 40082 40768 41472 41496 42336 42536 43008 43092 43776 44172 44688 44928 45808 45864 46592 46626 46683 47424 47853 48384 48412 49152 49248 50176 50274 51072 51534 51597 52352 52416 53248 53352 54397 55296 55328 56448 57344 57456 58368 58896 58968 59584 59904 60123 61152 62168 62244 63232 63504 63804 64512 65664 66258 67032 67392 68096 68712 68796 69888 69939 71136 72576 72618 73728 74438 75264 75411 76608 77301 77824 78528 78624 79872 80028 80164 81536 82944 82992 84672 85072 86016 86184 87552 88344 89376 89856 91616 91728 93184 93252 93366 94848 95706 96768 96824 98304 98496 100352 100548 101023 102144 103068 103194 104704 104832 106496 106704 108794 108927 110592 110656 111657 112896 114688 114912 116736 117792 117936 119168 119808 120246 122304 124336 124488 126464 127008 127608 129024 131328 132516 134064 134784 136192 137424 137592 139776 139878 140049 142272 143559 145152 145236 147456 148876 150528 150822 153216 154602 155648 157056 157248 159744 160056 160328 163072 163191 165888 165984 169344 170144 172032 172368 175104 176688 178752 179712 180369 183232 183456 186368 186504 186732 189696 191412 193536 193648 196992 200704 201096 202046 204288 206136 206388 209408 209664 209817 212992 213408 217588 217854 221184 221312 223314 225792 229376 229824 231903 233472 235584 235872 238336 239616 240492 244608 248672 248976 252928 254016 255216 258048 260533 262656 265032 268128 269568 272384 274848 275184 279552 279756 280098 284544 287118 290304 290472 294912 297752 301056 301644 303069 306432 309204 311296 314112 314496 319488 320112 320656 326144 326382 326781 331776 331968 334971 338688 340288 344064 344736 350208 353376 357504 359424 360738 366464 366912 372736 373008 373464 379392 380779 382824 387072 387296 393984 401408 402192 404092 408576 412272 412776 418816 419328 419634 425984 426816 430677 435176 435708 442368 442624 446628 451584 459648 463806 466944 471168 471744 476672 479232 480984 489216 489573 497344 497952 505856 508032 510432 516096 521066 525312 530064 536256 539136 541107 544768 549696 550368 559104 559512 560196 569088 574236 580608 580944 595504 602112 603288 606138 612864 618408 622592 628224 628992 629451 638976 640224 641312 652288 652764 653562 663552 663936 669942 677376 680576 688128 689472 700416 706752 707161 715008 718848 721476 732928 733824 745472 746016 746928 758784 761558 765648 774144 774592 781599 787968 802816 804384 808184 817152 824544 825552 837632 838656 839268 853632 861354 870352 871416 884736 885248 893256 903168 909207 919296 927612 933888 942336 943488 953344 958464 961968 978432 979146 980343 994688 995904 1004913 1011712 1016064 1020864 1032192 1042132 1050624 1060128 1072512 1078272 1082214 1089536 1099392 1100736 1118208 1119024 1120392 1138176 1142337 1148472 1161216 1161888 1191008 1204224 1206576 1212276 1225728 1236816 1256448 1257984 1258902 1277952 1280448 1282624 1304576 1305528 1307124 1327104 1327872 1339884 1354752 1361152 1378944 1400832 1413504 1414322 1430016 1437696 1442952 1465856 1467648 1468719 1490944 1492032 1493856 1517568 1523116 1531296 1548288 1549184 1563198 1575936 1605632 1608768 1616368 1623321 1634304 1649088 1651104 1675264 1677312 1678536 1707264 1722708 1740704 1742832 1770496 1786512 1806336 1818414 1838592 1855224 1867776 1884672 1886976 1906688 1916928 1923936 1956864 1958292 1960686 1989376 1991808 2009826 2023424 2032128 2041728 2064384 2084264 2101248 2120256 2121483 2145024 2156544 2164428 2179072 2198784 2201472 2236416 2238048 2240784 2276352 2284674 2296944 2322432 2323776 2344797 2382016 2408448 2413152 2424552 2451456 2473632 2512896 2515968 2517804 2560896 2565248 2609152 2611056 2614248 2654208 2655744 2679768 2709504 2722304 2727621 2757888 2801664 2827008 2828644 2860032 2875392 2885904 2931712 2935296 2937438 2981888 2984064 2987712 3014739 3035136 3046232 3062592 3096576 3098368 3126396 3151872 3217536 3232736 3246642 3268608 3298176 3302208 3350528 3354624 3357072 3414528 3427011 3445416 3481408 3485664 3540992 3573024 3612672 3636828 3677184 3710448 3769344 3773952 3813376 3833856 3847872 3913728 3916584 3921372 3978752 3983616 4019652 4046848 4064256 4083456 4168528 4202496 4240512 4242966 4290048 4313088 4328856 4358144 4397568 4402944 4406157 4472832 4476096 4481568 4552704 4569348 4593888 4644864 4647552 4689594 4764032 4816896 4826304 4849104 4902912 4947264 4950127 5025792 5031936 5035608 5121792 5130496 5218304 5222112 5228496 5311488 5359536 5419008 5444608 5455242 5515776 5603328 5654016 5657288 5720064 5750784 5771808 5863424 5870592 5874876 5968128 5975424 6029478 6070272 6092464 6125184 6193152 6196736 6252792 6303744 6364449 6435072 6465472 6493284 6537216 6596352 6604416 6701056 6709248 6714144 6829056 6854022 6890832 6962816 6971328 7034391 7081984 7146048 7225344 7273656 7354368 7420896 7538688 7547904 7626752 7695744 7827456 7833168 7842744 7957504 7967232 8039304 8093696 8128512 8166912 8182863 8337056 8404992 8481024 8485932 8580096 8626176 8657712 8795136 8805888 8812314 8945664 8952192 8963136 9105408 9138696 9187776 9289728 9295104 9379188 9528064 9652608 9698208 9805824 9894528 9900254 10051584 10063872 10071216 10243584 10260992 10281033 10436608 10444224 10456992 10622976 10719072 10838016 10889216 10910484 11031552 11308032 11314576 11440128 11501568 11543616 11726848 11741184 11749752 11936256 11950848 12058956 12140544 12184928 12250368 12393472 12505584 12607488 12728898 12870144 12930944 12986568 13074432 13192704 13208832 13402112 13418496 13428288 13658112 13708044 13781664 13925632 13942656 14068782 14163968 14292096 14450688 14547312 14708736 14841792 14850381 15077376 15095808 15253504 15391488 15654912 15666336 15685488 15915008 15934464 16078608 16257024 16333824 16365726 16674112 16809984 16962048 16971864 17160192 17252352 17315424 17590272 17611776 17624628 17904384 17926272 18210816 18277392 18375552 18579456 18590208 18758376 19056128 19093347 19305216 19396416 19611648 19789056 19800508 20103168 20127744 20142432 20487168 20521984 20562066 20873216 20888448 20913984 21103173 21245952 21438144 21676032 21778432 21820968 22063104 22616064 22629152 22880256 23087232 23453696 23482368 23499504 23872512 23901696 24117912 24281088 24369856 24500736 24786944 25011168 25214976 25457796 25740288 25861888 25973136 26385408 26417664 26836992 26856576 27316224 27416088 27563328 27851264 27885312 28137564 28327936 28584192 29094624 29417472 29683584 29700762 30154752 30191616 30507008 30782976 30843099 31309824 31332672 31370976 31830016 31868928 32157216 32514048 32667648 32731452 33348224 33924096 33943728 34320384 34504704 34630848 35180544 35223552 35249256 35808768 35852544 36421632 36554784 36751104 37180416 37516752 38112256 38186694 38610432 38792832 39223296 39578112 39601016 40206336 40255488 40284864 40974336 41043968 41124132 41776896 41827968 42206346 42491904 42876288 43352064 43556864 43641936 44126208 44551143 45232128 45258304 45760512 46174464 46907392 46964736 46999008 47745024 47803392 48235824 48739712 49001472 49573888 50022336 50429952 50915592 51480576 51723776 51946272 52770816 52835328 53713152 54632448 54832176 55126656 55702528 55770624 56275128 56655872 57168384 57280041 58189248 58834944 59367168 59401524 60309504 60383232 61565952 61686198 62619648 62665344 62741952 63660032 63737856 64314432 65028096 65335296 65462904 66696448 67848192 67887456 68640768 69261696 70361088 70447104 70498512 71617536 71705088 72843264 73109568 73502208 74360832 75033504 76224512 76373388 77220864 77585664 79156224 79202032 80510976 80569728 81948672 82087936 82248264 83553792 83655936 84412692 84983808 85752576 87113728 87283872 88252416 89102286 90464256 90516608 91521024 92348928 93814784 93929472 93998016 95490048 95606784 96471648 97479424 98002944 99147776 100044672 101831184 102961152 103447552 103892544 105541632 105670656 107426304 109264896 109664352 110253312 111405056 111541248 112550256 114336768 114560082 116378496 117669888 118734336 118803048 120619008 120766464 123131904 123372396 125330688 125483904 127320064 127475712 128628864 130056192 130670592 130925808 133392896 133653429 135696384 135774912 137281536 138523392 140722176 140894208 140997024 143235072 143410176 146219136 147004416 148721664 150067008 152449024 152746776 154441728 155171328 158312448 158404064 161139456 163897344 164175872 164496528 167107584 167311872 168825384 169967616 171505152 174227456 174567744 176504832 178204572 180928512 181033216 184697856 187858944 187996032 190980096 191213568 192943296 194958848 196005888 198295552 200089344 203662368 205922304 206895104 207785088 211083264 211341312 214852608 218529792 219328704 220506624 222810112 223082496 225100512 228673536 229120164 232756992 237468672 237606096 241532928 246263808 246744792 250661376 250967808 254640128 254951424 257257728 261341184 261851616 266785792 267306858 271392768 271549824 274563072 277046784 281444352 281788416 281994048 286470144 286820352 292438272 294008832 297443328 300134016 304898048 305493552 308883456 310342656 316624896 316808128 322278912 327794688 328351744 328993056 334215168 334623744 337650768 343010304 349135488 353009664 356409144 361857024 362066432 369395712 375992064 381960192 382427136 385886592 389917696 392011776 396591104 400178688 400960287 407324736 411844608 413790208 415570176 422166528 422682624 429705216 438657408 441013248 445620224 446164992 450201024 457347072 458240328 465513984 474937344 475212192 492527616 493489584 501322752 501935616 509902848 514515456 522682368 523703232 533571584 534613716 542785536 543099648 554093568 563576832 563988096 572940288 573640704 584876544 588017664 594886656 600268032 609796096 610987104 617766912 620685312 633249792 633616256 644557824 655589376 656703488 657986112 668430336 669247488 675301536 686020608 698270976 712818288 724132864 738791424 751984128 763920384 764854272 771773184 779835392 784023552 800357376 801920574 814649472 823689216 827580416 831140352 844333056 845365248 859410432 877314816 882026496 891240448 892329984 900402048 914694144 916480656 931027968 949874688 950424384 985055232 986979168 1002645504 1003871232 1029030912 1047406464 1067143168 1069227432 1085571072 1086199296 1108187136 1127976192 1145880576 1147281408 1169753088 1176035328 1189773312 1200536064 1219592192 1221974208 1235533824 1241370624 1266499584 1267232512 1289115648 1315972224 1336860672 1338494976 1350603072 1372041216 1396541952 1425636576 1448265728 1477582848 1503968256 1529708544 1543546368 1559670784 1568047104 1600714752 1603841148 1629298944 1655160832 1662280704 1690730496 1718820864 1754629632 1764052992 1782480896 1784659968 1800804096 1829388288 1832961312 1862055936 1899749376 1900848768 1970110464 1973958336 2005291008 2007742464 2058061824 2094812928 2134286336 2138454864 2172398592 2216374272 2255952384 2291761152 2294562816 2339506176 2352070656 2401072128 2443948416 2471067648 2482741248 2532999168 2534465024 2578231296 2631944448 2673721344 2676989952 2701206144 2744082432 2793083904 2851273152 2896531456 2955165696 3007936512 3087092736 3119341568 3201429504 3207682296 3258597888 3310321664 3324561408 3437641728 3509259264 3528105984 3569319936 3601608192 3658776576 3665922624 3724111872 3799498752 3801697536 3947916672 4010582016 4015484928 4116123648 4189625856 4268572672 4276909728 4344797184 4432748544 4511904768 4589125632 4679012352 4704141312 4802144256 4887896832 4965482496 5068930048 5156462592 5263888896 5347442688 5353979904 5402412288 5488164864 5586167808 5702546304 5793062912 5910331392 6015873024 6174185472 6238683136 6402859008 6415364592 6517195776 6649122816 6875283456 7018518528 7056211968 7203216384 7331845248 7448223744 7598997504 7603395072 7895833344 8021164032 8030969856 8232247296 8379251712 8537145344 8553819456 8689594368 8865497088 9023809536 9358024704 9604288512 9775793664 9930964992 10137860096 10312925184 10527777792 10707959808 10804824576 10976329728 11172335616 11405092608 11586125824 12031746048 12348370944 12477366272 12805718016 12830729184 13034391552 13298245632 14037037056 14112423936 14406432768 14663690496 14896447488 15206790144 15791666688 16042328064 16061939712 16464494592 16758503424 17107638912 17379188736 17730994176 18047619072 18716049408 19208577024 19551587328 20275720192 20625850368 21055555584 21609649152 22344671232 22810185216 23172251648 24063492096 24696741888 25611436032 25661458368 26068783104 26596491264 28074074112 28812865536 29327380992 29792894976 30413580288 31583333376 32123879424 32928989184 33517006848 34215277824 34758377472 36095238144 37432098816 38417154048 39103174656 40551440384 42111111168 43219298304 44689342464 45620370432 48126984192 49393483776 51322916736 52137566208 53192982528 56148148224 57625731072 58654761984 60827160576 63166666752 67034013696 68430555648 69516754944 72190476288 76834308096 78206349312 81102880768 84222222336 86438596608 89378684928 91240740864 98786967552 102645833472 104275132416 112296296448 115251462144 117309523968 121654321152 126333333504 134068027392 136861111296 144380952576 156412698624 162205761536 168444444672 172877193216 182481481728 205291666944 208550264832 230502924288 234619047936 243308642304 252666667008 268136054784 273722222592 312825397248 336888889344 345754386432 364962963456 410583333888 469238095872 486617284608 505333334016 547444445184 625650794496 691508772864 729925926912 821166667776 938476191744 1010666668032 1094888890368 1459851853824 1642333335552 1876952383488 2189777780736 3284666671104 4379555561472 6569333342208 13138666684416
- Sum of all divisors σ(n): 51889013946000
- Sum of proper divisors (its aliquot sum) s(n): 38750347261584
- 13138666684416 is an abundant number, because the sum of its proper divisors (38750347261584) is greater than itself. Its abundance is 25611680577168
Bases of 13138666684416
- Binary: 101111110011000101011000111110000000000000002
- Hexadecimal: 0xBF3158F8000
- Base-36: 4NNTIWW00
Squares and roots of 13138666684416
- 13138666684416 squared (131386666844162) is 172624562244182926537261056
- 13138666684416 cubed (131386666844163) is 2268056584869542307590311418517358903296
-
The
square root of 13138666684416 is 3624729.8774413521 -
The
cube root of 13138666684416 is 23596.6543928845
Scales and comparisons
How big is 13138666684416?- 13,138,666,684,416 seconds is equal to 417,768 years, 49 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,138,666,684,416 would take you about one million, forty-four thousand, four hundred twenty-two 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 13138666684416 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138666684416
- 13138666684416 backwards is 61448666683131
- 13138666684416 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138666684416's digits is 63
- 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 13138666684416 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 13138666684416 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13138666684416/
Chicago style:
Numbermatics. 2024. "Number 13138666684416 - Facts about the integer". https://numbermatics.com/n/13138666684416/
The information we have on file for 13138666684416 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 13138666684416, math, Factors of 13138666684416, curriculum, school, college, exams, university, Prime factorization of 13138666684416, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred thirty-eight billion, six hundred sixty-six million, six hundred eighty-four thousand, four hundred sixteen.