14004104017569207984
14,004,104,017,569,207,984 is an even composite number composed of seven prime numbers multiplied together.
14004104017569207984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 14004104017569207984:
24 × 32 × 13 × 157 × 199 × 2239 × 106940611
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 157 × 199 × 2239 × 106940611)See below for interesting mathematical facts about the number 14004104017569207984 from the Numbermatics database.
Names of 14004104017569207984
- Cardinal: 14004104017569207984 can be written as Fourteen quintillion, four quadrillion, one hundred four trillion, seventeen billion, five hundred sixty-nine million, two hundred seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.4004104017569207984 × 1019
Factors of 14004104017569207984
Divisors of 14004104017569207984
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 199 208 234 312 314 398 468 471 597 624 628 796 936 942 1194 1256 1413 1592 1791 1872 1884 2041 2239 2388 2512 2587 2826 3184 3582 3768 4082 4478 4776 5174 5652 6123 6717 7164 7536 7761 8164 8956 9552 10348 11304 12246 13434 14328 15522 16328 17912 18369 20151 20696 22608 23283 24492 26868 28656 29107 31044 31243 32656 35824 36738 40302 41392 46566 48984 53736 58214 62088 62486 73476 80604 87321 93132 93729 97968 107472 116428 124176 124972 146952 161208 174642 186264 187458 232856 249944 261963 281187 293904 322416 349284 351523 372528 374916 406159 445561 465712 499888 523926 562374 698568 703046 749832 812318 891122 1047852 1054569 1124748 1218477 1336683 1397136 1406092 1499664 1624636 1782244 2095704 2109138 2249496 2436954 2673366 2812184 3163707 3249272 3564488 3655431 4010049 4191408 4218276 4498992 4569799 4873908 5346732 5624368 5792293 6327414 6498544 7128976 7310862 8020098 8436552 9139598 9747816 10693464 11584586 12654828 13709397 14621724 16040196 16873104 17376879 18279196 19495632 21386928 23169172 25309656 27418794 29243448 32080392 34753758 36558392 41128191 46338344 50619312 52130637 54837588 58486896 64160784 69507516 69953077 73116784 82256382 92676688 104261274 106940611 109675176 139015032 139906154 164512764 208522548 209859231 213881222 219350352 278030064 279812308 320821833 329025528 417045096 419718462 427762444 559624616 629577693 641643666 658051056 834090192 839436924 855524888 909390001 962465499 1119249232 1259155386 1283287332 1390227943 1678873848 1711049776 1818780002 1924930998 2518310772 2566574664 2728170003 2780455886 3357747696 3637560004 3849861996 4170683829 5036621544 5133149328 5456340006 5560911772 7275120008 7699723992 8184510009 8341367658 10073243088 10912680012 11121823544 12512051487 14550240016 15399447984 16369020018 16682735316 16789675927 21281181589 21825360024 22243647088 25024102974 32738040036 33365470632 33579351854 42562363178 43650720048 50048205948 50369027781 63843544767 65476080072 66730941264 67158703708 85124726356 100096411896 100738055562 127687089534 130952160144 134317407416 151107083343 170249452712 191530634301 200192823792 201476111124 218265787051 239440028029 255374179068 268634814832 276655360657 302214166686 340498905424 383061268602 402952222248 436531574102 478880056058 510748358136 553310721314 604428333372 654797361153 718320084087 766122537204 805904444496 829966081971 873063148204 957760112116 1021496716272 1106621442628 1208856666744 1309594722306 1436640168174 1532245074408 1659932163942 1746126296408 1915520224232 1964392083459 2154960252261 2213242885256 2417713333488 2489898245913 2619189444612 2873280336348 3064490148816 3112720364377 3319864327884 3341145509473 3492252592816 3831040448464 3928784166918 4309920504522 4426485770512 4979796491826 5238378889224 5746560672696 6225440728754 6639728655768 6682291018946 7857568333836 8619841009044 9338161093131 9959592983652 10023436528419 10476757778448 11493121345392 12450881457508 13279457311536 13364582037892 15715136667672 17239682018088 18676322186262 19919185967304 20046873056838 24901762915016 26729164075784 28014483279393 30070309585257 31430273335344 34479364036176 37352644372524 37592084400553 39838371934608 40093746113676 43434891623149 47648565577771 49803525830032 53458328151568 56028966558786 60140619170514 74705288745048 75184168801106 80187492227352 86869783246298 95297131155542 112057933117572 112776253201659 120281238341028 130304674869447 142945696733313 149410577490096 150368337602212 160374984454704 173739566492596 190594262311084 224115866235144 225552506403318 240562476682056 260609349738894 285891393466626 300736675204424 338328759604977 347479132985192 381188524622168 390914024608341 428837090199939 448231732470288 451105012806636 481124953364112 488697097207189 521218699477788 571782786933252 601473350408848 619431352511023 676657519209954 694958265970384 762377049244336 781828049216682 857674180399878 902210025613272 977394194414378 1042437398955576 1143565573866504 1238862705022046 1353315038419908 1466091291621567 1563656098433364 1715348360799756 1804420051226544 1858294057533069 1954788388828756 2084874797911152 2287131147733008 2477725410044092 2706630076839816 2932182583243134 3127312196866728 3430696721599512 3716588115066138 3909576777657512 4398273874864701 4955450820088184 5413260153679632 5574882172599207 5864365166486268 6254624393733456 6861393443199024 7433176230132276 7480824795710047 7819153555315024 8796547749729402 9910901640176368 11149764345198414 11728730332972536 14866352460264552 14961649591420094 17593095499458804 22299528690396828 22442474387130141 23457460665945072 29732704920529104 29923299182840188 35186190998917608 44599057380793656 44884948774260282 59846598365680376 67327423161390423 70372381997835216 89198114761587312 89769897548520564 97250722344230611 119693196731360752 134654846322780846 179539795097041128 194501444688461222 269309692645561692 291752167032691833 359079590194082256 389002889376922444 538619385291123384 583504334065383666 778005778753844888 875256501098075499 1077238770582246768 1167008668130767332 1556011557507689776 1750513002196150998 2334017336261534664 3501026004392301996 4668034672523069328 7002052008784603992 14004104017569207984
- Sum of all divisors σ(n): 42708158706676736000
- Sum of proper divisors (its aliquot sum) s(n): 28704054689107528016
- 14004104017569207984 is an abundant number, because the sum of its proper divisors (28704054689107528016) is greater than itself. Its abundance is 14699950671538320032
Bases of 14004104017569207984
- Binary: 11000010010110001001001001101000001101001101010101010110101100002
- Hexadecimal: 0xC258926834D556B0
- Base-36: 2YEA0KBM1W7G0
Squares and roots of 14004104017569207984
- 14004104017569207984 squared (140041040175692079842) is 196114929334898031919809741185049344256
- 14004104017569207984 cubed (140041040175692079843) is 2746413869804146850652621587999922414682169184536479739904
-
The
square root of 14004104017569207984 is 3742205769.0043191937 -
The
cube root of 14004104017569207984 is 2410377.7475045559
Scales and comparisons
How big is 14004104017569207984?- 14,004,104,017,569,207,984 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 14,004,104,017,569,207,984 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 14004104017569207984 cubic inches would be around 200864.8 feet tall.
Recreational maths with 14004104017569207984
- 14004104017569207984 backwards is 48970296571040140041
- 14004104017569207984 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 14004104017569207984's digits is 72
- 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 14004104017569207984 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 14004104017569207984 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/14004104017569207984/
Chicago style:
Numbermatics. 2024. "Number 14004104017569207984 - Facts about the integer". https://numbermatics.com/n/14004104017569207984/
The information we have on file for 14004104017569207984 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 14004104017569207984, math, Factors of 14004104017569207984, curriculum, school, college, exams, university, Prime factorization of 14004104017569207984, STEM, science, technology, engineering, physics, economics, calculator, fourteen quintillion, four quadrillion, one hundred four trillion, seventeen billion, five hundred sixty-nine million, two hundred seven thousand, nine hundred eighty-four.