13138680815751168
13,138,680,815,751,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 13138680815751168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1040 divisors.
13138680815751168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and forty divisors.
Prime factorization of 13138680815751168:
212 × 34 × 31 × 43 × 127 × 233923
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 43 × 127 × 233923)See below for interesting mathematical facts about the number 13138680815751168 from the Numbermatics database.
Names of 13138680815751168
- Cardinal: 13138680815751168 can be written as Thirteen quadrillion, one hundred thirty-eight trillion, six hundred eighty billion, eight hundred fifteen million, seven hundred fifty-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3138680815751168 × 1016
Factors of 13138680815751168
Divisors of 13138680815751168
- Number of divisors d(n): 1040
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 62 64 72 81 86 93 96 108 124 127 128 129 144 162 172 186 192 216 248 254 256 258 279 288 324 344 372 381 384 387 432 496 508 512 516 558 576 648 688 744 762 768 774 837 864 992 1016 1024 1032 1116 1143 1152 1161 1296 1333 1376 1488 1524 1536 1548 1674 1728 1984 2032 2048 2064 2232 2286 2304 2322 2511 2592 2666 2752 2976 3048 3072 3096 3348 3429 3456 3483 3937 3968 3999 4064 4096 4128 4464 4572 4608 4644 5022 5184 5332 5461 5504 5952 6096 6144 6192 6696 6858 6912 6966 7874 7936 7998 8128 8256 8928 9144 9216 9288 10044 10287 10368 10664 10922 11008 11811 11904 11997 12192 12288 12384 13392 13716 13824 13932 15748 15872 15996 16256 16383 16512 17856 18288 18432 18576 20088 20574 20736 21328 21844 22016 23622 23808 23994 24384 24768 26784 27432 27648 27864 31496 31744 31992 32512 32766 33024 35433 35712 35991 36576 36864 37152 40176 41148 41472 42656 43688 44032 47244 47616 47988 48768 49149 49536 53568 54864 55296 55728 62992 63488 63984 65024 65532 66048 70866 71424 71982 73152 74304 80352 82296 82944 85312 87376 88064 94488 95232 95976 97536 98298 99072 106299 107136 107973 109728 110592 111456 125984 126976 127968 130048 131064 132096 141732 142848 143964 146304 147447 148608 160704 164592 165888 169291 170624 174752 176128 188976 190464 191952 195072 196596 198144 212598 214272 215946 219456 222912 233923 251968 255936 260096 262128 264192 283464 285696 287928 292608 294894 297216 318897 321408 329184 331776 338582 341248 349504 377952 380928 383904 390144 393192 396288 425196 428544 431892 438912 442341 445824 467846 503936 507873 511872 520192 524256 528384 566928 571392 575856 585216 589788 594432 637794 642816 658368 677164 682496 699008 701769 755904 767808 780288 786384 792576 850392 857088 863784 877824 884682 891648 935692 1007872 1015746 1023744 1048512 1133856 1142784 1151712 1170432 1179576 1188864 1275588 1285632 1316736 1354328 1364992 1398016 1403538 1511808 1523619 1535616 1560576 1572768 1585152 1700784 1714176 1727568 1755648 1769364 1783296 1871384 2015744 2031492 2047488 2097024 2105307 2267712 2303424 2340864 2359152 2377728 2551176 2571264 2633472 2708656 2729984 2796032 2807076 3023616 3047238 3071232 3145536 3401568 3428352 3455136 3511296 3538728 3566592 3742768 4031488 4062984 4094976 4194048 4210614 4535424 4570857 4606848 4681728 4718304 4755456 5102352 5142528 5266944 5417312 5459968 5592064 5614152 6047232 6094476 6142464 6291072 6315921 6803136 6910272 7022592 7077456 7133184 7251613 7485536 8062976 8125968 8189952 8388096 8421228 9070848 9141714 9213696 9436608 10058689 10204704 10285056 10533888 10834624 11184128 11228304 12094464 12188952 12284928 12582144 12631842 13606272 13712571 13820544 14045184 14154912 14266368 14503226 14971072 16125952 16251936 16379904 16776192 16842456 18141696 18283428 18427392 18873216 18947763 20117378 20409408 21067776 21669248 21754839 22368256 22456608 24188928 24377904 24569856 25164288 25263684 27212544 27425142 27641088 28309824 29006452 29708221 29942144 30176067 32503872 33552384 33684912 36283392 36566856 36854784 37746432 37895526 40234756 40818816 42135552 43338496 43509678 44913216 48377856 48755808 49139712 50328576 50527368 54425088 54850284 55282176 56619648 58012904 59416442 59884288 60352134 65007744 65264517 67104768 67369824 72566784 73133712 73709568 75492864 75791052 80469512 81637632 86676992 87019356 89124663 89826432 90528201 97511616 100657152 101054736 108850176 109700568 110564352 113239296 116025808 118832884 119768576 120704268 130015488 130529034 134739648 145133568 146267424 147419136 150985728 151582104 160939024 163275264 173353984 174038712 178249326 179652864 181056402 195023232 195793551 201314304 202109472 217700352 219401136 221128704 226478592 232051616 237665768 239537152 241408536 260030976 261058068 267373989 269479296 271584603 292534848 301971456 303164208 311819359 321878048 326550528 346707968 348077424 356498652 359305728 362112804 390046464 391587102 404218944 435400704 438802272 442257408 452957184 464103232 475331536 479074304 482817072 520061952 522116136 534747978 538958592 543169206 585069696 587380653 603942912 606328416 623638718 643756096 653101056 693415936 696154848 712997304 718611456 724225608 780092928 783174204 802121967 808437888 814753809 877604544 905914368 920954851 928206464 935458077 950663072 958148608 965634144 1040123904 1044232272 1069495956 1077917184 1086338412 1170139392 1174761306 1212656832 1247277436 1277453503 1287512192 1306202112 1392309696 1425994608 1437222912 1448451216 1560185856 1566348408 1604243934 1616875776 1629507618 1755209088 1811828736 1841909702 1856412928 1870916154 1901326144 1931268288 2080247808 2088464544 2138991912 2155834368 2172676824 2340278784 2349522612 2406365901 2425313664 2494554872 2554907006 2575024384 2762864553 2784619392 2806374231 2851989216 2874445824 2896902432 3120371712 3132696816 3208487868 3233751552 3259015236 3510418176 3683819404 3712825856 3741832308 3802652288 3832360509 3862536576 4176929088 4277983824 4311668736 4345353648 4680557568 4699045224 4812731802 4850627328 4989109744 5109814012 5150048768 5525729106 5569238784 5612748462 5703978432 5793804864 6240743424 6265393632 6416975736 6467503104 6518030472 7020836352 7367638808 7425651712 7483664616 7605304576 7664721018 7725073152 8288593659 8353858176 8419122693 8555967648 8623337472 8690707296 9361115136 9398090448 9625463604 9701254656 9978219488 10219628024 10300097536 11051458212 11138477568 11225496924 11407956864 11497081527 11587609728 12530787264 12833951472 12935006208 13036060944 14041672704 14735277616 14851303424 14967329232 15210609152 15329442036 15450146304 16577187318 16707716352 16838245386 17111935296 17381414592 18722230272 18796180896 19250927208 19402509312 19956438976 20439256048 20600195072 22102916424 22276955136 22450993848 22815913728 22994163054 23175219456 24865780977 25061574528 25257368079 25667902944 25870012416 26072121888 28083345408 29470555232 29702606848 29934658464 30421218304 30658884072 30900292608 33154374636 33415432704 33676490772 34223870592 34491244581 34762829184 37592361792 38501854416 38805018624 39601058593 39912877952 40878512096 41200390144 44205832848 44553910272 44901987696 45631827456 45988326108 46350438912 49731561954 50123149056 50514736158 51335805888 52144243776 56166690816 58941110464 59869316928 60842436608 61317768144 61800585216 66308749272 66830865408 67352981544 68447741184 68982489162 69525658368 74597342931 75184723584 77003708832 77610037248 79202117186 79825755904 81757024192 88411665696 89107820544 89803975392 91263654912 91976652216 92700877824 99463123908 100246298112 101029472316 102671611776 103473733743 104288487552 117882220928 118803175779 119738633856 121684873216 122635536288 123601170432 132617498544 133661730816 134705963088 136895482368 137964978324 139051316736 149194685862 150369447168 154007417664 158404234372 159651511808 163514048384 176823331392 179607950784 182527309824 183953304432 185401755648 198926247816 200492596224 202058944632 205343223552 206947467486 208576975104 235764441856 237606351558 239477267712 245271072576 265234997088 267323461632 269411926176 273790964736 275929956648 278102633472 298389371724 300738894336 308014835328 316808468744 319303023616 327028096768 353646662784 356409527337 359215901568 365054619648 367906608864 370803511296 397852495632 400985192448 404117889264 410686447104 413894934972 417153950208 471528883712 475212703116 478954535424 490542145152 530469994176 538823852352 547581929472 551859913296 556205266944 596778743448 601477788672 616029670656 633616937488 638606047232 654056193536 707293325568 712819054674 718431803136 735813217728 795704991264 801970384896 808235778528 821372894208 827789869944 834307900416 943057767424 950425406232 957909070848 981084290304 1060939988352 1069228582011 1077647704704 1095163858944 1103719826592 1112410533888 1193557486896 1202955577344 1232059341312 1267233874976 1277212094464 1308112387072 1414586651136 1425638109348 1436863606272 1471626435456 1591409982528 1616471557056 1642745788416 1655579739888 1668615800832 1886115534848 1900850812464 1915818141696 1962168580608 2121879976704 2138457164022 2155295409408 2207439653184 2387114973792 2405911154688 2464118682624 2534467749952 2616224774144 2829173302272 2851276218696 2873727212544 2943252870912 3182819965056 3207685746033 3232943114112 3285491576832 3311159479776 3337231601664 3772231069696 3801701624928 3831636283392 3924337161216 4243759953408 4276914328044 4310590818816 4414879306368 4774229947584 4928237365248 5068935499904 5232449548288 5658346604544 5702552437392 5747454425088 5886505741824 6365639930112 6415371492066 6465886228224 6622318959552 7603403249856 7848674322432 8487519906816 8553828656088 8621181637632 8829758612736 9548459895168 9856474730496 10137870999808 11316693209088 11405104874784 11494908850176 11773011483648 12731279860224 12830742984132 12931772456448 13244637919104 15206806499712 15697348644864 16975039813632 17107657312176 17242363275264 17659517225472 19096919790336 20275741999616 22810209749568 23546022967296 25462559720448 25661485968264 25863544912896 26489275838208 30413612999424 33950079627264 34215314624352 34484726550528 35319034450944 38193839580672 40551483999232 45620419499136 47092045934592 50925119440896 51322971936528 51727089825792 52978551676416 60827225998848 68430629248704 70638068901888 76387679161344 81102967998464 91240838998272 101850238881792 102645943873056 103454179651584 105957103352832 121654451997696 136861258497408 141276137803776 152775358322688 162205935996928 182481677996544 205291887746112 211914206705664 243308903995392 273722516994816 305550716645376 364963355993088 410583775492224 423828413411328 486617807990784 547445033989632 729926711986176 821167550984448 1094890067979264 1459853423972352 1642335101968896 2189780135958528 3284670203937792 4379560271917056 6569340407875584 13138680815751168
- Sum of all divisors σ(n): 41783970123022336
- Sum of proper divisors (its aliquot sum) s(n): 28645289307271168
- 13138680815751168 is an abundant number, because the sum of its proper divisors (28645289307271168) is greater than itself. Its abundance is 15506608491520000
Bases of 13138680815751168
- Binary: 1011101010110110001111100000101101011100010000000000002
- Hexadecimal: 0x2EAD8F82D71000
- Base-36: 3LD9UN30G00
Squares and roots of 13138680815751168
- 13138680815751168 squared (131386808157511682) is 172624933578187777406448093364224
- 13138680815751168 cubed (131386808157511683) is 2268063903124055379583650177956705477558777413632
-
The
square root of 13138680815751168 is 114624084.7978781813 -
The
cube root of 13138680815751168 is 235966.6285270063
Scales and comparisons
How big is 13138680815751168?- 13,138,680,815,751,168 seconds is equal to 417,769,409 years, 17 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,138,680,815,751,168 would take you about one billion, two hundred fifty-three million, three hundred eight thousand, two hundred twenty-seven 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 13138680815751168 cubic inches would be around 19663.9 feet tall.
Recreational maths with 13138680815751168
- 13138680815751168 backwards is 86115751808683131
- 13138680815751168 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13138680815751168'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 13138680815751168 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 13138680815751168 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13138680815751168/
Chicago style:
Numbermatics. 2024. "Number 13138680815751168 - Facts about the integer". https://numbermatics.com/n/13138680815751168/
The information we have on file for 13138680815751168 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 13138680815751168, math, Factors of 13138680815751168, curriculum, school, college, exams, university, Prime factorization of 13138680815751168, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred thirty-eight trillion, six hundred eighty billion, eight hundred fifteen million, seven hundred fifty-one thousand, one hundred sixty-eight.