13678478767423488
13,678,478,767,423,488 is an even composite number composed of five prime numbers multiplied together.
What does the number 13678478767423488 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
13678478767423488 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13678478767423488:
226 × 3 × 19 × 312 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 13678478767423488 from the Numbermatics database.
Names of 13678478767423488
- Cardinal: 13678478767423488 can be written as Thirteen quadrillion, six hundred seventy-eight trillion, four hundred seventy-eight billion, seven hundred sixty-seven million, four hundred twenty-three thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3678478767423488 × 1016
Factors of 13678478767423488
Divisors of 13678478767423488
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 61 62 64 76 93 96 114 122 124 128 152 183 186 192 228 244 248 256 304 366 372 384 456 488 496 512 589 608 732 744 768 912 961 976 992 1024 1159 1178 1216 1464 1488 1536 1767 1824 1891 1922 1952 1984 2048 2318 2356 2432 2883 2928 2976 3072 3477 3534 3648 3721 3782 3844 3904 3968 4096 4636 4712 4864 5673 5766 5856 5952 6144 6954 7068 7296 7442 7564 7688 7808 7936 8192 9272 9424 9728 11163 11346 11532 11712 11904 12288 13908 14136 14592 14884 15128 15376 15616 15872 16384 18259 18544 18848 19456 22326 22692 23064 23424 23808 24576 27816 28272 29184 29768 30256 30752 31232 31744 32768 35929 36518 37088 37696 38912 44652 45384 46128 46848 47616 49152 54777 55632 56544 58368 58621 59536 60512 61504 62464 63488 65536 70699 71858 73036 74176 75392 77824 89304 90768 92256 93696 95232 98304 107787 109554 111264 113088 115351 116736 117242 119072 121024 123008 124928 126976 131072 141398 143716 146072 148352 150784 155648 175863 178608 181536 184512 187392 190464 196608 212097 215574 219108 222528 226176 230702 233472 234484 238144 242048 246016 249856 253952 262144 282796 287432 292144 296704 301568 311296 346053 351726 357216 363072 369024 374784 380928 393216 424194 431148 438216 445056 452352 461404 466944 468968 476288 484096 492032 499712 507904 524288 565592 574864 584288 593408 603136 622592 692106 703452 714432 726144 738048 749568 761856 786432 848388 862296 876432 890112 904704 922808 933888 937936 952576 968192 984064 999424 1015808 1048576 1113799 1131184 1149728 1168576 1186816 1206272 1245184 1384212 1406904 1428864 1452288 1476096 1499136 1523712 1572864 1696776 1724592 1752864 1780224 1809408 1845616 1867776 1875872 1905152 1936384 1968128 1998848 2031616 2097152 2191669 2227598 2262368 2299456 2337152 2373632 2412544 2490368 2768424 2813808 2857728 2904576 2952192 2998272 3047424 3145728 3341397 3393552 3449184 3505728 3560448 3575881 3618816 3691232 3735552 3751744 3810304 3872768 3936256 3997696 4063232 4194304 4383338 4455196 4524736 4598912 4674304 4747264 4825088 4980736 5536848 5627616 5715456 5809152 5904384 5996544 6094848 6291456 6575007 6682794 6787104 6898368 7011456 7120896 7151762 7237632 7382464 7471104 7503488 7620608 7745536 7872512 7995392 8126464 8388608 8766676 8910392 9049472 9197824 9348608 9494528 9650176 9961472 10727643 11073696 11255232 11430912 11618304 11808768 11993088 12189696 12582912 13150014 13365588 13574208 13796736 14022912 14241792 14303524 14475264 14764928 14942208 15006976 15241216 15491072 15745024 15990784 16252928 16777216 17533352 17820784 18098944 18395648 18697216 18989056 19300352 19922944 21455286 22147392 22510464 22861824 23236608 23617536 23986176 24379392 25165824 26300028 26731176 27148416 27593472 28045824 28483584 28607048 28950528 29529856 29884416 30013952 30482432 30982144 31490048 31981568 32505856 33554432 35066704 35641568 36197888 36791296 37394432 37978112 38600704 39845888 42910572 44294784 45020928 45723648 46473216 47235072 47972352 48758784 50331648 52600056 53462352 54296832 55186944 56091648 56967168 57214096 57901056 59059712 59768832 60027904 60964864 61964288 62980096 63963136 65011712 67108864 67941739 70133408 71283136 72395776 73582592 74788864 75956224 77201408 79691776 85821144 88589568 90041856 91447296 92946432 94470144 95944704 97517568 100663296 105200112 106924704 108593664 110373888 112183296 113934336 114428192 115802112 118119424 119537664 120055808 121929728 123928576 125960192 127926272 130023424 135883478 140266816 142566272 144791552 147165184 149577728 151912448 154402816 159383552 171642288 177179136 180083712 182894592 185892864 188940288 191889408 195035136 201326592 203825217 210400224 213849408 217187328 220747776 224366592 227868672 228856384 231604224 236238848 239075328 240111616 243859456 247857152 251920384 255852544 260046848 271766956 280533632 285132544 289583104 294330368 299155456 303824896 308805632 318767104 343284576 354358272 360167424 365789184 371785728 377880576 383778816 390070272 407650434 420800448 427698816 434374656 441495552 448733184 455737344 457712768 463208448 472477696 478150656 480223232 487718912 495714304 503840768 511705088 520093696 543533912 561067264 570265088 579166208 588660736 598310912 607649792 617611264 637534208 686569152 708716544 720334848 731578368 743571456 755761152 767557632 780140544 815300868 841600896 855397632 868749312 882991104 897466368 911474688 915425536 926416896 944955392 956301312 960446464 975437824 991428608 1007681536 1023410176 1040187392 1087067824 1122134528 1140530176 1158332416 1177321472 1196621824 1215299584 1235222528 1275068416 1373138304 1417433088 1440669696 1463156736 1487142912 1511522304 1535115264 1560281088 1630601736 1683201792 1710795264 1737498624 1765982208 1794932736 1822949376 1830851072 1852833792 1889910784 1912602624 1920892928 1950875648 1982857216 2015363072 2046820352 2080374784 2174135648 2244269056 2281060352 2316664832 2354642944 2393243648 2430599168 2470445056 2746276608 2834866176 2881339392 2926313472 2974285824 3023044608 3070230528 3120562176 3261203472 3366403584 3421590528 3474997248 3531964416 3589865472 3645898752 3661702144 3705667584 3779821568 3825205248 3841785856 3901751296 3965714432 4030726144 4093640704 4348271296 4488538112 4562120704 4633329664 4709285888 4786487296 4861198336 4940890112 5492553216 5669732352 5762678784 5852626944 5948571648 6046089216 6140461056 6241124352 6522406944 6732807168 6843181056 6949994496 7063928832 7179730944 7291797504 7323404288 7411335168 7559643136 7683571712 7803502592 7931428864 8061452288 8696542592 8977076224 9124241408 9266659328 9418571776 9572974592 9722396672 9881780224 10985106432 11339464704 11525357568 11705253888 11897143296 12092178432 12280922112 13044813888 13465614336 13686362112 13899988992 14127857664 14359461888 14583595008 14646808576 14822670336 15119286272 15367143424 15607005184 15862857728 16122904576 17393085184 17954152448 18248482816 18533318656 18837143552 19145949184 19444793344 19763560448 21970212864 22678929408 23050715136 23410507776 23794286592 24184356864 26089627776 26931228672 27372724224 27799977984 28255715328 28718923776 29167190016 29293617152 29645340672 30238572544 30734286848 31214010368 31725715456 32245809152 34786170368 35908304896 36496965632 37066637312 37674287104 38291898368 38889586688 39527120896 43940425728 45357858816 46101430272 46821015552 47588573184 48368713728 52179255552 53862457344 54745448448 55599955968 56511430656 57437847552 58334380032 58587234304 59290681344 60477145088 61468573696 62428020736 63451430912 64491618304 69572340736 71816609792 72993931264 74133274624 75348574208 76583796736 77779173376 87880851456 90715717632 92202860544 93642031104 95177146368 96737427456 104358511104 107724914688 109490896896 111199911936 113022861312 114875695104 116668760064 117174468608 118581362688 120954290176 122937147392 124856041472 126902861824 139144681472 143633219584 145987862528 148266549248 150697148416 153167593472 175761702912 181431435264 184405721088 187284062208 190354292736 193474854912 208717022208 215449829376 218981793792 222399823872 226045722624 229751390208 233337520128 234348937216 241908580352 245874294784 249712082944 278289362944 287266439168 291975725056 296533098496 301394296832 306335186944 351523405824 362862870528 368811442176 374568124416 380708585472 417434044416 430899658752 437963587584 444799647744 452091445248 459502780416 468697874432 483817160704 491748589568 556578725888 574532878336 583951450112 593066196992 602788593664 612670373888 703046811648 725725741056 737622884352 749136248832 834868088832 861799317504 875927175168 889599295488 904182890496 919005560832 937395748864 967634321408 983497179136 1113157451776 1149065756672 1167902900224 1186132393984 1205577187328 1225340747776 1406093623296 1451451482112 1475245768704 1669736177664 1723598635008 1751854350336 1779198590976 1808365780992 1838011121664 1874791497728 1935268642816 1966994358272 2226314903552 2298131513344 2335805800448 2372264787968 2411154374656 2812187246592 2902902964224 2950491537408 3339472355328 3447197270016 3503708700672 3558397181952 3616731561984 3676022243328 3749582995456 3870537285632 3933988716544 4452629807104 4596263026688 4671611600896 4744529575936 5624374493184 5805805928448 5900983074816 6678944710656 6894394540032 7007417401344 7116794363904 7233463123968 7499165990912 7741074571264 8905259614208 9192526053376 9343223201792 11248748986368 11611611856896 11801966149632 13357889421312 13788789080064 14014834802688 14233588727808 14998331981824 17810519228416 18385052106752 18686446403584 22497497972736 23223223713792 26715778842624 27577578160128 28029669605376 29996663963648 35621038456832 36770104213504 37372892807168 44994995945472 53431557685248 55155156320256 56059339210752 59993327927296 71242076913664 73540208427008 74745785614336 89989991890944 106863115370496 110310312640512 112118678421504 119986655854592 142484153827328 147080416854016 179979983781888 213726230740992 220620625281024 224237356843008 239973311709184 284968307654656 359959967563776 427452461481984 441241250562048 569936615309312 719919935127552 854904922963968 1139873230618624 1709809845927936 2279746461237248 3419619691855872 4559492922474496 6839239383711744 13678478767423488
- Sum of all divisors σ(n): 40335315328985040
- Sum of proper divisors (its aliquot sum) s(n): 26656836561561552
- 13678478767423488 is an abundant number, because the sum of its proper divisors (26656836561561552) is greater than itself. Its abundance is 12978357794138064
Bases of 13678478767423488
- Binary: 1100001001100010000001000001000000000000000000000000002
- Hexadecimal: 0x30988104000000
- Base-36: 3QOM6EA9N9C
Squares and roots of 13678478767423488
- 13678478767423488 squared (136784787674234882) is 187100781390855183521337934086144
- 13678478767423488 cubed (136784787674234883) is 2559254065623156291478159702788050611934720950272
-
The
square root of 13678478767423488 is 116955028.8248585231 -
The
cube root of 13678478767423488 is 239154.8908576123
Scales and comparisons
How big is 13678478767423488?- 13,678,478,767,423,488 seconds is equal to 434,933,314 years, 25 weeks, 3 days, 19 hours, 24 minutes, 48 seconds.
-
To count from 1 to 13,678,478,767,423,488 would take you about one billion, three hundred four million, seven hundred ninety-nine thousand, nine hundred forty-three 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 13678478767423488 cubic inches would be around 19929.6 feet tall.
Recreational maths with 13678478767423488
- 13678478767423488 backwards is 88432476787487631
- 13678478767423488 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13678478767423488's digits is 93
- 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 13678478767423488 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 13678478767423488 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13678478767423488/
Chicago style:
Numbermatics. 2024. "Number 13678478767423488 - Facts about the integer". https://numbermatics.com/n/13678478767423488/
The information we have on file for 13678478767423488 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 13678478767423488, math, Factors of 13678478767423488, curriculum, school, college, exams, university, Prime factorization of 13678478767423488, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred seventy-eight trillion, four hundred seventy-eight billion, seven hundred sixty-seven million, four hundred twenty-three thousand, four hundred eighty-eight.