13448381824004241664
13,448,381,824,004,241,664 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13448381824004241664 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13448381824004241664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13448381824004241664:
28 × 113 × 17 × 43 × 61 × 19531 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 17 × 43 × 61 × 19531 × 45319)See below for interesting mathematical facts about the number 13448381824004241664 from the Numbermatics database.
Names of 13448381824004241664
- Cardinal: 13448381824004241664 can be written as Thirteen quintillion, four hundred forty-eight quadrillion, three hundred eighty-one trillion, eight hundred twenty-four billion, four million, two hundred forty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3448381824004241664 × 1019
Factors of 13448381824004241664
Divisors of 13448381824004241664
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 8 11 16 17 22 32 34 43 44 61 64 68 86 88 121 122 128 136 172 176 187 242 244 256 272 344 352 374 473 484 488 544 671 688 704 731 748 946 968 976 1037 1088 1331 1342 1376 1408 1462 1496 1892 1936 1952 2057 2074 2176 2623 2662 2684 2752 2816 2924 2992 3784 3872 3904 4114 4148 4352 5203 5246 5324 5368 5504 5848 5984 7381 7568 7744 7808 8041 8228 8296 10406 10492 10648 10736 11008 11407 11696 11968 14762 15136 15488 15616 16082 16456 16592 19531 20812 20984 21296 21472 22627 22814 23392 23936 28853 29524 30272 30976 32164 32912 33184 39062 41624 41968 42592 42944 44591 45254 45319 45628 46784 47872 57233 57706 59048 60544 64328 65824 66368 78124 81191 83248 83936 85184 85888 88451 89182 90508 90638 91256 93568 114466 115412 118096 121088 125477 128656 131648 132736 156248 162382 166496 167872 170368 171776 176902 178364 181016 181276 182512 187136 214841 228932 230824 236192 250954 257312 263296 265472 312496 317383 324764 332027 332992 335744 340736 353804 356728 362032 362552 365024 429682 457864 461648 472384 490501 498509 501908 514624 526592 624992 634766 649528 664054 665984 671488 707608 713456 724064 725104 730048 770423 839833 859364 915728 923296 944768 972961 981002 997018 1003816 1029248 1191391 1249984 1269532 1299056 1328108 1331968 1380247 1415216 1426912 1448128 1450208 1460096 1540846 1679666 1718728 1831456 1846592 1889536 1945922 1948717 1962004 1994036 2007632 2058496 2363251 2382782 2499968 2539064 2598112 2656216 2760494 2764459 2830432 2853824 2896256 2900416 2920192 3081692 3359332 3437456 3491213 3652297 3662912 3693184 3891844 3897434 3924008 3988072 4015264 4726502 4765564 4999936 5078128 5196224 5312432 5395511 5483599 5520988 5528918 5660864 5707648 5792512 5800832 6163384 6718664 6874912 6982426 7304594 7325824 7386368 7783688 7794868 7848016 7976144 8030528 8474653 9238163 9453004 9531128 10156256 10392448 10624864 10791022 10967198 11041976 11057836 11321728 11415296 11601664 12326768 13105301 13437328 13749824 13964852 14277161 14609188 14651648 15567376 15589736 15696032 15952288 16061056 16949306 18476326 18906008 19062256 20253647 20312512 20784896 21249728 21435887 21582044 21934396 22083952 22115672 22643456 24653536 25995761 26210602 26874656 27499648 27929704 28554322 29218376 30409049 31134752 31179472 31392064 31904576 32122112 33128189 33898612 36952652 37812016 38124512 40175267 40507294 40625024 42499456 42871774 43164088 43868792 44167904 44231344 46995803 49307072 51229813 51991522 52421204 53749312 54999296 55859408 57108644 58436752 59350621 60319589 60818098 62269504 62358944 62784128 63809152 66256378 67797224 73905304 75624032 76249024 80350534 81014588 81250048 84998912 85743548 86328176 87737584 88335808 88462688 93221183 93991606 98614144 101619793 102459626 103983044 104842408 107498624 111718816 114217288 116873504 118701242 118871737 120639178 121636196 124539008 124717888 125568256 127618304 132512756 135594448 144158311 147810608 151248064 152498048 157048771 160701068 162029176 171487096 172656352 175475168 176671616 176925376 186442366 187983212 197228288 203239586 204919252 207966088 209684816 214997248 222790117 223437632 228434576 233747008 235794757 237402484 237743474 241278356 243272392 249078016 249435776 265025512 271188896 288316622 295621216 302496128 304996096 314097542 321402136 324058352 334499539 342974192 345312704 350950336 353343232 353850752 364410079 372884732 375966424 406479172 409838504 415932176 419369632 441927937 445580234 446875264 456869152 467494016 471589514 474804968 475486948 482556712 486544784 498871552 516953833 530051024 542377792 563527943 576633244 591242432 604992256 628195084 642804272 648116704 668999078 685948384 690625408 701900672 707701504 728820158 745769464 751932848 812958344 819677008 831864352 838739264 870906821 883855874 885125389 891160468 893750528 913738304 934988032 943179028 949609936 950973896 965113424 973089568 1025433013 1033907666 1060102048 1084755584 1117817723 1127055886 1153266488 1182484864 1256390168 1285608544 1296233408 1307589107 1337998156 1371896768 1381250816 1403801344 1457640316 1491538928 1503865696 1585741421 1625916688 1639354016 1663728704 1677478528 1727536481 1741813642 1767711748 1770250778 1782320936 1827476608 1886358056 1899219872 1901947792 1930226848 1946179136 2020819529 2050866026 2067815332 2120204096 2169511168 2235635446 2254111772 2306532976 2364969728 2450691287 2512780336 2571217088 2592466816 2593742327 2615178214 2675996312 2743793536 2915280632 2983077856 3007731392 3171482842 3251833376 3278708032 3327457408 3354957056 3455072962 3483627284 3535423496 3540501556 3564641872 3654953216 3679494929 3772716112 3798439744 3803895584 3860453696 3892358272 4008510869 4041639058 4101732052 4135630664 4240408192 4471270892 4508223544 4613065952 4901382574 5025560672 5142434176 5184933632 5187484654 5230356428 5351992624 5487587072 5686492163 5830561264 5966155712 6015462784 6198807373 6342965684 6503666752 6557416064 6654914816 6910145924 6967254568 7070846992 7081003112 7129283744 7358989858 7545432224 7596879488 7607791168 7720907392 7784716544 8017021738 8083278116 8203464104 8271261328 8480816384 8942541784 9016447088 9226131904 9579975031 9736379279 9802765148 10051121344 10284868352 10374969308 10460712856 10703985248 11372984326 11661122528 11932311424 12030925568 12397614746 12685931368 13007333504 13114832128 13820291848 13934509136 14141693984 14162006224 14258567488 14383480177 14717979716 15047131613 15090864448 15193758976 15215582336 15441814784 16034043476 16166556232 16406928208 16542522656 17885083568 18032894176 18452263808 19002901291 19159950062 19472758558 19605530296 20102242688 20749938616 20921425712 21407970496 22229014819 22745968652 23322245056 23864622848 24795229492 25371862736 26014667008 26957604157 27640583696 27869018272 28283387968 28324012448 28517134976 28766960354 29435959432 30094263226 30181728896 30431164672 32068086952 32333112464 32813856416 33085045312 35770167136 36065788352 36904527616 38005802582 38060391727 38319900124 38945517116 39211060592 40204485376 41499877232 41842851424 42815940992 44093619559 44458029638 45491937304 46644490112 49590458984 50743725472 53915208314 53992648729 55281167392 55738036544 56566775936 56648024896 57034269952 57533920708 58871918864 60188526452 60363457792 62551413793 64136173904 64666224928 65627712832 66170090624 68186881103 71540334272 72131576704 76011605164 76120783454 76639800248 77891034232 78422121184 82999754464 83685702848 85631881984 88187239118 88916059276 90983874608 93288980224 99180917968 101487450944 105379725341 107100172069 107830416628 107985297458 110562334784 111476073088 113133551872 113296049792 115067841416 117743837728 120377052904 125102827586 128272347808 129332449856 131255425664 132340181248 136373762206 143080668544 144263153408 152023210328 152241566908 153279600496 155782068464 156844242368 158218281947 165518447743 165999508928 167371405696 176374478236 177832118552 181967749216 198361835936 202974901888 210759450682 214200344138 215660833256 215970594916 221124669568 222952146176 226592099584 230135682832 235487675456 240754105808 244519163009 250205655172 256544695616 258664899712 262510851328 272747524412 286161337088 304046420656 304483133816 306559200992 311564136928 313688484736 316436563894 331036895486 331999017856 334742811392 352748956472 355664237104 363935498432 396723671872 405949803776 418664308997 421518901364 428400688276 431321666512 431941189832 442249339136 460271365664 470975350912 481508211616 489038326018 500411310344 513089391232 517329799424 545495048824 593919136019 608092841312 608966267632 613118401984 623128273856 627376969472 632873127788 647026659359 662073790972 663998035712 705497912944 711328474208 727870996864 793447343744 837328617994 843037802728 856801376552 862643333024 863882379664 917875028393 920542731328 941950701824 963016423232 978076652036 1000822620688 1026178782464 1090990097648 1159176978751 1178101892759 1187838272038 1216185682624 1217932535264 1226236803968 1246256547712 1265746255576 1294053318718 1324147581944 1410995825888 1422656948416 1455741993728 1586894687488 1674657235988 1686075605456 1713602753104 1725286666048 1727764759328 1820702925173 1835750056786 1841085462656 1926032846464 1956153304072 2001645241376 2181980195296 2318353957502 2321683895347 2356203785518 2375676544076 2432371365248 2435865070528 2452473607936 2492513095424 2531492511152 2588106637436 2648295163888 2689710793099 2821991651776 2845313896832 3349314471976 3372151210912 3427205506208 3450573332096 3455529518656 3641405850346 3671500113572 3682170925312 3852065692928 3912306608144 4003290482752 4363960390592 4605307398967 4636707915004 4643367790694 4712407571036 4751353088152 4864742730496 4871730141056 5062985022304 5176213274872 5296590327776 5379421586198 5643983303552 5690627793664 6533110496209 6698628943952 6744302421824 6854411012416 6901146664192 6911059037312 7117293252949 7282811700692 7343000227144 7824613216288 8006580965504 8727920781184 9210614797934 9273415830008 9286735581388 9424815142072 9502706176304 9743460282112 10096625312323 10125970044608 10352426549744 10593180655552 10758843172396 11287966607104 13066220992418 13397257887904 13488604843648 13708822024832 13822118074624 14234586505898 14565623401384 14686000454288 15649226432576 16013161931008 17455841562368 18421229595868 18546831660016 18573471162776 18849630284144 19005412352608 20027732176903 20193250624646 20251940089216 20704853099488 21186361311104 21517686344792 25538522848817 26132441984836 26794515775808 26977209687296 27417644049664 28469173011796 29131246802768 29372000908576 31298452865152 36842459191736 37093663320032 37146942325552 37699260568288 38010824705216 39468626220899 40055464353806 40386501249292 40503880178432 41409706198976 42372722622208 43035372689584 50658381388637 51077045697634 52264883969672 53589031551616 56938346023592 58262493605536 58744001817152 62596905730304 71864215458299 73684918383472 74187326640064 74293884651104 75398521136576 76021649410432 78290225782439 78937252441798 80110928707612 80773002498584 82819412397952 86070745379168 101316762777274 102154091395268 104529767939344 107178063103232 111062878435553 113876692047184 116524987211072 117488003634304 143728430916598 147369836766944 148374653280128 148587769302208 150797042273152 152043298820864 156580451564878 157874504883596 160221857415224 161546004997168 165638824795904 172141490758336 202633525554548 204308182790536 209059535878688 222125756871106 227753384094368 233049974422144 234976007268608 280923751336987 287456861833196 294739673533888 296749306560256 297175538604416 301594084546304 313160903129756 315749009767192 320443714830448 323092009994336 344282981516672 405267051109096 408616365581072 418119071757376 434154888429889 444251513742212 455506768188736 466099948844288 561847502673974 574913723666392 589479347067776 594351077208832 626321806259512 631498019534384 640887429660896 646184019988672 688565963033344 810534102218192 817232731162144 836238143514752 861192483606829 868309776859778 888503027484424 911013536377472 1123695005347948 1149827447332784 1178958694135552 1221691662791083 1252643612519024 1262996039068768 1281774859321792 1292368039977344 1621068204436384 1634465462324288 1672476287029504 1722384967213658 1736619553719556 1777006054968848 1822027072754944 2247390010695896 2299654894665568 2443383325582166 2505287225038048 2525992078137536 2563549718643584 2584736079954688 3090161264706857 3242136408872768 3268930924648576 3444769934427316 3473239107439112 3554012109937696 4494780021391792 4599309789331136 4775703772728779 4886766651164332 5010574450076096 5051984156275072 5127099437287168 6180322529413714 6484272817745536 6537861849297152 6889539868854632 6946478214878224 7108024219875392 8989560042783584 9198619578662272 9551407545457558 9773533302328664 10021148900152192 10103968312550144 12360645058827428 12968545635491072 13779079737709264 13892956429756448 14216048439750784 17979120085567168 18397239157324544 19102815090915116 19547066604657328 20042297800304384 24721290117654856 27558159475418528 27785912859512896 28432096879501568 35958240171134336 38205630181830232 39094133209314656 49442580235309712 52532741500016569 55116318950837056 55571825719025792 71916480342268672 76411260363660464 78188266418629312 98885160470619424 105065483000033138 110232637901674112 111143651438051584 152822520727320928 156376532837258624 197770320941238848 210130966000066276 220465275803348224 305645041454641856 312753065674517248 395540641882477696 420261932000132552 611290082909283712 791081283764955392 840523864000265104 1222580165818567424 1681047728000530208 3362095456001060416 6724190912002120832 13448381824004241664
- Sum of all divisors σ(n): 32517373899310755840
- Sum of proper divisors (its aliquot sum) s(n): 19068992075306514176
- 13448381824004241664 is an abundant number, because the sum of its proper divisors (19068992075306514176) is greater than itself. Its abundance is 5620610251302272512
Bases of 13448381824004241664
- Binary: 10111010101000100100000000000100001011111001011110111001000000002
- Hexadecimal: 0xBAA240042F97B900
- Base-36: 2U6A5HKA35IPS
Squares and roots of 13448381824004241664
- 13448381824004241664 squared (134483818240042416642) is 180858973684207654010082248263713488896
- 13448381824004241664 cubed (134483818240042416643) is 2432260534402759673028624071269319064322091482316164562944
-
The
square root of 13448381824004241664 is 3667203542.7562841599 -
The
cube root of 13448381824004241664 is 2378062.9334305799
Scales and comparisons
How big is 13448381824004241664?- 13,448,381,824,004,241,664 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,448,381,824,004,241,664 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13448381824004241664 cubic inches would be around 198171.9 feet tall.
Recreational maths with 13448381824004241664
- 13448381824004241664 backwards is 46614240042818384431
- The number of decimal digits it has is: 20
- The sum of 13448381824004241664's digits is 73
- More coming soon!
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"Number 13448381824004241664 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 13448381824004241664 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/13448381824004241664/
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Numbermatics. 2024. "Number 13448381824004241664 - Facts about the integer". https://numbermatics.com/n/13448381824004241664/
The information we have on file for 13448381824004241664 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 13448381824004241664, math, Factors of 13448381824004241664, curriculum, school, college, exams, university, Prime factorization of 13448381824004241664, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred forty-eight quadrillion, three hundred eighty-one trillion, eight hundred twenty-four billion, four million, two hundred forty-one thousand, six hundred sixty-four.