13813216217173641216
13,813,216,217,173,641,216 is an even composite number composed of seven prime numbers multiplied together.
13813216217173641216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13813216217173641216:
211 × 3 × 13 × 31 × 61 × 39887 × 2292859
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 61 × 39887 × 2292859)See below for interesting mathematical facts about the number 13813216217173641216 from the Numbermatics database.
Names of 13813216217173641216
- Cardinal: 13813216217173641216 can be written as Thirteen quintillion, eight hundred thirteen quadrillion, two hundred sixteen trillion, two hundred seventeen billion, one hundred seventy-three million, six hundred forty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3813216217173641216 × 1019
Factors of 13813216217173641216
Divisors of 13813216217173641216
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 61 62 64 78 93 96 104 122 124 128 156 183 186 192 208 244 248 256 312 366 372 384 403 416 488 496 512 624 732 744 768 793 806 832 976 992 1024 1209 1248 1464 1488 1536 1586 1612 1664 1891 1952 1984 2048 2379 2418 2496 2928 2976 3072 3172 3224 3328 3782 3904 3968 4758 4836 4992 5673 5856 5952 6144 6344 6448 6656 7564 7808 7936 9516 9672 9984 11346 11712 11904 12688 12896 13312 15128 15616 15872 19032 19344 19968 22692 23424 23808 24583 25376 25792 26624 30256 31232 31744 38064 38688 39887 39936 45384 46848 47616 49166 50752 51584 60512 62464 63488 73749 76128 77376 79774 79872 90768 93696 95232 98332 101504 103168 119661 121024 124928 147498 152256 154752 159548 181536 187392 190464 196664 203008 206336 239322 242048 294996 304512 309504 319096 363072 374784 393328 406016 412672 478644 484096 518531 589992 609024 619008 638192 726144 786656 812032 825344 957288 968192 1037062 1179984 1218048 1236497 1238016 1276384 1452288 1555593 1573312 1624064 1914576 1936384 2074124 2292859 2359968 2433107 2436096 2472994 2476032 2552768 2904576 3111186 3146624 3709491 3829152 3872768 4148248 4585718 4719936 4866214 4872192 4945988 5105536 5809152 6222372 6293248 6878577 7299321 7418982 7658304 8296496 9171436 9439872 9732428 9891976 10211072 11618304 12444744 12586496 13757154 14598642 14837964 15316608 16074461 16592992 18342872 18879744 19464856 19783952 20422144 24889488 25172992 27514308 29197284 29675928 29807167 30633216 31630391 32148922 33185984 36685744 37759488 38929712 39567904 40844288 48223383 49778976 50345984 55028616 58394568 59351856 59614334 61266432 63260782 64297844 66371968 71078629 73371488 75426317 75518976 77859424 79135808 81688576 89421501 94891173 96446766 99557952 110057232 116789136 118703712 119228668 122532864 126521564 128595688 132743936 139864399 142157258 146742976 150852634 151037952 155718848 158271616 178843002 189782346 192893532 199115904 213235887 220114464 226278951 233578272 237407424 238457336 245065728 253043128 257191376 265487872 279728798 284314516 293485952 301705268 311437696 316543232 357686004 379564692 385787064 398231808 419593197 426471774 440228928 452557902 467156544 474814848 476914672 506086256 514382752 530975744 559457596 568629032 586971904 603410536 622875392 633086464 715372008 759129384 771574128 796463616 839186394 852943548 880457856 905115804 924022177 934313088 949629696 953829344 980542121 1012172512 1028765504 1061951488 1118915192 1137258064 1173943808 1206821072 1245750784 1266172928 1430744016 1518258768 1543148256 1592927232 1678372788 1705887096 1760915712 1810231608 1818237187 1848044354 1868626176 1899259392 1907658688 1961084242 2024345024 2057531008 2237830384 2274516128 2347887616 2413642144 2491501568 2532345856 2772066531 2861488032 2941626363 3036517536 3086296512 3185854464 3356745576 3411774192 3521831424 3620463216 3636474374 3696088708 3737252352 3798518784 3815317376 3922168484 4048690048 4115062016 4335796369 4475660768 4549032256 4695775232 4827284288 4983003136 5454711561 5544133062 5722976064 5883252726 6073035072 6172593024 6713491152 6823548384 7043662848 7240926432 7272948748 7392177416 7474504704 7597037568 7630634752 7844336968 8097380096 8230124032 8671592738 8951321536 9098064512 9654568576 10909423122 11088266124 11445952128 11766505452 12146070144 12345186048 13007389107 13426982304 13647096768 14087325696 14481852864 14545897496 14784354832 14949009408 15261269504 15688673936 16194760192 16460248064 17343185476 17902643072 18196129024 19309137152 21818846244 22176532248 22891904256 23533010904 24292140288 24690372096 26014778214 26853964608 27294193536 28963705728 29091794992 29568709664 30522539008 31377347872 32389520384 32920496128 34686370952 35805286144 36392258048 38618274304 43637692488 44353064496 45783808512 47066021808 48584280576 49380744192 52029556428 53707929216 54588387072 56365352797 57927411456 58183589984 59137419328 61045078016 62754695744 64779040768 69372741904 71610572288 72784516096 77236548608 87275384976 88706128992 91455266933 91567617024 94132043616 97168561152 98761488384 104059112856 107415858432 109176774144 112730705594 115854822912 116367179968 118274838656 125509391488 138745483808 143221144576 145569032192 154473097216 169096058391 174550769952 177412257984 182910533866 183135234048 188264087232 194337122304 208118225712 214831716864 218353548288 225461411188 231709645824 232734359936 236549677312 251018782976 274365800799 277490967616 286442289152 338192116782 349101539904 354824515968 365821067732 376528174464 416236451424 429663433728 436707096576 450922822376 463419291648 465468719872 473099354624 502037565952 548731601598 554981935232 676384233564 698203079808 709649031936 731642135464 753056348928 832472902848 859326867456 901845644752 930937439744 946198709248 1004075131904 1097463203196 1109963870464 1188918470129 1352768467128 1396406159616 1419298063872 1463284270928 1506112697856 1664945805696 1803691289504 1861874879488 1892397418496 2008150263808 2194926406392 2219927740928 2377836940258 2705536934256 2792812319232 2835113274923 2838596127744 2926568541856 3012225395712 3329891611392 3566755410387 3607382579008 3723749758976 4389852812784 4439855481856 4755673880516 5411073868512 5578771282913 5585624638464 5670226549846 5677192255488 5853137083712 6024450791424 6659783222784 7133510820774 7214765158016 8505339824769 8779705625568 8879710963712 9511347761032 10822147737024 11157542565826 11171249276928 11340453099692 11706274167424 13319566445568 14267021641548 14429530316032 16736313848739 17010679649538 17559411251136 19022695522064 21644295474048 22315085131652 22680906199384 23412548334848 26639132891136 28534043283096 28859060632064 33472627697478 34021359299076 35118822502272 36856472573999 38045391044128 43288590948096 44630170263304 45361812398768 46825096669696 57068086566192 57718121264128 66945255394956 68042718598152 70237645004544 72524026677869 73712945147998 76090782088256 86577181896192 89260340526608 90723624797536 93650193339392 110569417721997 114136173132384 115436242528256 133890510789912 136085437196304 140475290009088 145048053355738 147425890295996 152181564176512 172941909770303 173154363792384 178520681053216 181447249595072 187300386678784 217572080033607 221138835443994 228272346264768 267781021579824 272170874392608 280950580018176 290096106711476 294851780591992 304363128353024 345883819540606 346308727584768 357041362106432 362894499190144 435144160067214 442277670887988 456544692529536 518825729310909 535562043159648 544341748785216 561901160036352 580192213422952 589703561183984 608726256706048 691767639081212 714082724212864 725788998380288 870288320134428 884555341775976 913089385059072 1037651458621818 1071124086319296 1088683497570432 1160384426845904 1179407122367968 1217452513412096 1383535278162424 1428165448425728 1451577996760576 1740576640268856 1769110683551952 1826178770118144 2075302917243636 2142248172638592 2177366995140864 2248244827013939 2320768853691808 2358814244735936 2434905026824192 2767070556324848 2856330896851456 2903155993521152 3481153280537712 3538221367103904 3652357540236288 4150605834487272 4284496345277184 4354733990281728 4496489654027878 4641537707383616 4717628489471872 5534141112649696 5712661793702912 5806311987042304 6744734481041817 6962306561075424 7076442734207808 7304715080472576 8301211668974544 8568992690554368 8709467980563456 8992979308055756 9283075414767232 9435256978943744 11068282225299392 11425323587405824 13489468962083634 13924613122150848 14152885468415616 16602423337949088 17137985381108736 17418935961126912 17985958616111512 18566150829534464 18870513957887488 22136564450598784 26978937924167268 27849226244301696 28305770936831232 33204846675898176 34275970762217472 35971917232223024 37132301659068928 37741027915774976 44273128901197568 53957875848334536 55698452488603392 56611541873662464 66409693351796352 71943834464446048 74264603318137856 75482055831549952 88546257802395136 107915751696669072 111396904977206784 113223083747324928 132819386703592704 143887668928892096 148529206636275712 177092515604790272 215831503393338144 222793809954413568 226446167494649856 265638773407185408 287775337857784192 354185031209580544 431663006786676288 445587619908827136 531277546814370816 575550675715568384 863326013573352576 1062555093628741632 1151101351431136768 1726652027146705152 2302202702862273536 3453304054293410304 4604405405724547072 6906608108586820608 13813216217173641216
- Sum of all divisors σ(n): 41610544609097318400
- Sum of proper divisors (its aliquot sum) s(n): 27797328391923677184
- 13813216217173641216 is an abundant number, because the sum of its proper divisors (27797328391923677184) is greater than itself. Its abundance is 13984112174750035968
Bases of 13813216217173641216
- Binary: 10111111101100100110011011110110110001100100110011001000000000002
- Hexadecimal: 0xBFB266F6C64CC800
- Base-36: 2WY2GHIPZBRPC
Squares and roots of 13813216217173641216
- 13813216217173641216 squared (138132162171736412162) is 190804942262388878410611751015893958656
- 13813216217173641216 cubed (138132162171736412163) is 2635629922775710326615154419935607426209675786660081565696
-
The
square root of 13813216217173641216 is 3716613541.5420367883 -
The
cube root of 13813216217173641216 is 2399375.7761514989
Scales and comparisons
How big is 13813216217173641216?- 13,813,216,217,173,641,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,813,216,217,173,641,216 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 13813216217173641216 cubic inches would be around 199948 feet tall.
Recreational maths with 13813216217173641216
- 13813216217173641216 backwards is 61214637171261231831
- The number of decimal digits it has is: 20
- The sum of 13813216217173641216's digits is 66
- More coming soon!
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The information we have on file for 13813216217173641216 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 13813216217173641216, math, Factors of 13813216217173641216, curriculum, school, college, exams, university, Prime factorization of 13813216217173641216, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, eight hundred thirteen quadrillion, two hundred sixteen trillion, two hundred seventeen billion, one hundred seventy-three million, six hundred forty-one thousand, two hundred sixteen.