138315577200768
138,315,577,200,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 138315577200768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138315577200768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138315577200768:
27 × 35 × 112 × 31 × 37 × 1792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 31 × 37 × 179 × 179)See below for interesting mathematical facts about the number 138315577200768 from the Numbermatics database.
Names of 138315577200768
- Cardinal: 138315577200768 can be written as One hundred thirty-eight trillion, three hundred fifteen billion, five hundred seventy-seven million, two hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38315577200768 × 1014
Factors of 138315577200768
Divisors of 138315577200768
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 37 44 48 54 62 64 66 72 74 81 88 93 96 99 108 111 121 124 128 132 144 148 162 176 179 186 192 198 216 222 242 243 248 264 279 288 296 297 324 333 341 352 358 363 372 384 396 407 432 444 484 486 496 528 537 558 576 592 594 648 666 682 704 716 726 744 792 814 837 864 888 891 968 972 992 999 1023 1056 1074 1089 1116 1147 1152 1184 1188 1221 1296 1332 1364 1408 1432 1452 1488 1584 1611 1628 1674 1728 1776 1782 1936 1944 1969 1984 1998 2046 2112 2148 2178 2232 2294 2368 2376 2442 2511 2592 2664 2673 2728 2864 2904 2976 2997 3069 3168 3222 3256 3267 3348 3441 3456 3552 3564 3663 3751 3872 3888 3938 3968 3996 4092 4224 4296 4356 4464 4477 4588 4736 4752 4833 4884 5022 5184 5328 5346 5456 5549 5728 5808 5907 5952 5994 6138 6336 6444 6512 6534 6623 6696 6882 7104 7128 7326 7502 7533 7744 7776 7876 7992 8184 8592 8712 8928 8954 8991 9176 9207 9504 9666 9768 9801 10044 10323 10368 10656 10692 10912 10989 11098 11253 11456 11616 11814 11904 11988 12276 12617 12672 12888 13024 13068 13246 13392 13431 13764 14208 14256 14499 14652 15004 15066 15488 15552 15752 15984 16368 16647 17184 17424 17721 17856 17908 17982 18352 18414 19008 19332 19536 19602 19869 20088 20646 21312 21384 21659 21824 21978 22196 22506 22912 23232 23628 23976 24552 25234 25776 26048 26136 26492 26784 26862 27528 27621 28512 28998 29304 29403 30008 30132 30969 31104 31504 31968 32041 32736 32967 33294 33759 34368 34848 35442 35712 35816 35964 36704 36828 37851 38016 38664 39072 39204 39738 40176 40293 41292 42624 42768 43318 43497 43648 43956 44392 45012 46464 47256 47952 49104 49941 50468 51552 52096 52272 52984 53163 53568 53724 55056 55242 57024 57996 58608 58806 59607 60016 60264 61039 61938 63008 63936 64082 64977 65472 65934 66588 67518 68736 69696 70884 71632 71928 72853 73408 73656 75702 77328 78144 78408 79476 80352 80586 82584 82863 85536 86636 86994 87912 88784 90024 92907 94512 95904 96123 98208 98901 99882 100936 101277 103104 104544 105968 106326 107136 107448 110112 110484 113553 114048 115992 117216 117612 119214 120032 120528 120879 122078 123876 126016 127872 128164 129954 130944 131868 133176 135036 138787 139392 141768 143264 143856 145706 146816 147312 149823 151404 154656 156288 156816 158952 159489 160704 161172 165168 165726 171072 173272 173988 175824 177568 178821 180048 183117 185814 189024 191808 192246 194931 196416 197802 199764 201872 202554 205313 206208 209088 211936 212652 214896 218559 220224 220968 227106 231984 234432 235224 238428 240064 241056 241758 244156 247752 252032 256328 259908 263736 266352 270072 277574 278721 283536 286528 287712 288369 291412 294624 299646 302808 303831 309312 313632 317904 318978 321408 322344 330336 331452 340659 342144 346544 347976 351648 352451 355136 357642 360096 362637 366234 371628 378048 383616 384492 389862 392832 395604 399528 403744 405108 410626 416361 418176 423872 425304 429792 437118 440448 441936 449469 454212 463968 468864 470448 476856 478467 480128 482112 483516 488312 495504 512656 519816 527472 532704 536463 540144 549351 555148 557442 567072 573056 575424 576738 582824 584793 589248 599292 605616 607662 615939 618624 627264 635808 637956 644688 655677 660672 662904 671429 681318 693088 695952 703296 704902 710272 715284 720192 725274 732468 743256 756096 768984 779724 791208 799056 801383 807488 810216 821252 832722 847744 850608 859584 865107 874236 883872 898938 908424 911493 927936 940896 953712 956934 964224 967032 976624 991008 993271 1021977 1025312 1039632 1054944 1057353 1065408 1072926 1080288 1087911 1098702 1110296 1114884 1134144 1150848 1153476 1165648 1169586 1178496 1185517 1198584 1211232 1215324 1231878 1249083 1254528 1271616 1275912 1289376 1311354 1321344 1325808 1342858 1348407 1362636 1386176 1391904 1406592 1409804 1430568 1440384 1450548 1464936 1486512 1537968 1559448 1582416 1598112 1602766 1609389 1614976 1620432 1642504 1648053 1665444 1701216 1719168 1730214 1748472 1754379 1767744 1797876 1816848 1822986 1847817 1855872 1881792 1907424 1913868 1934064 1953248 1967031 1982016 1986542 2014287 2043954 2050624 2079264 2109888 2114706 2130816 2145852 2160576 2175822 2197404 2220592 2229768 2258443 2268288 2306952 2331296 2339172 2371034 2397168 2404149 2422464 2430648 2463756 2498166 2543232 2551824 2578752 2595321 2622708 2651616 2685716 2696814 2725272 2772352 2783808 2819608 2861136 2901096 2929872 2973024 2979813 3065931 3075936 3118896 3164832 3172059 3196224 3205532 3218778 3240864 3285008 3296106 3330888 3402432 3460428 3496944 3508758 3535488 3556551 3595752 3633696 3645972 3695634 3747249 3763584 3814848 3827736 3868128 3876961 3906496 3934062 3964032 3973084 4028574 4087908 4101248 4158528 4219776 4229412 4291704 4321152 4351644 4394808 4441184 4459536 4516886 4613904 4662592 4678344 4742068 4794336 4808298 4844928 4861296 4927512 4944159 4996332 5103648 5157504 5190642 5245416 5263137 5303232 5371432 5393628 5450544 5543451 5567616 5639216 5722272 5802192 5859744 5901093 5946048 5959626 6042861 6131862 6151872 6237792 6329664 6344118 6392448 6411064 6437556 6481728 6570016 6592212 6661776 6775329 6804864 6920856 6993888 7017516 7113102 7191504 7212447 7267392 7291944 7391268 7494498 7629696 7655472 7736256 7753922 7785963 7812992 7868124 7946168 8057148 8175816 8317056 8458824 8583408 8703288 8789616 8882368 8919072 8939439 9033772 9227808 9325184 9356688 9484136 9516177 9588672 9616596 9722592 9855024 9888318 9992664 10207296 10381284 10490832 10526274 10606464 10669653 10742864 10787256 10901088 10925981 11086902 11241747 11278432 11444544 11604384 11630883 11719488 11802186 11892096 11919252 12085722 12263724 12303744 12475584 12659328 12688236 12822128 12875112 12963456 13040687 13140032 13184424 13323552 13550658 13841712 13987776 14035032 14226204 14383008 14424894 14534784 14583888 14782536 14832477 14988996 15310944 15472512 15507844 15571926 15736248 15892336 16114296 16351632 16630353 16917648 17166816 17406576 17579232 17703279 17764736 17838144 17878878 18067544 18128583 18455616 18713376 18968272 19032354 19177344 19233192 19445184 19710048 19776636 19985328 20325987 20414592 20762568 20981664 21052548 21339306 21485728 21574512 21637341 21802176 21851962 22173804 22483494 22556864 22889088 23208768 23261766 23438976 23604372 23838504 24171444 24527448 24842873 24951168 25376472 25644256 25750224 26081374 26280064 26368848 26647104 26818317 27101316 27683424 27975552 28070064 28452408 28548531 28766016 28849788 29167776 29565072 29664954 29977992 30621888 31015688 31143852 31472496 31784672 32008959 32228592 32703264 32777943 33260706 33725241 33835296 34333632 34813152 34892649 35158464 35406558 35676288 35757756 36135088 36257166 36751027 36911232 37426752 37936544 38064708 38466384 38890368 39122061 39420096 39553272 39970656 40651974 41525136 41963328 42105096 42678612 42971456 43149024 43274682 43604352 43703924 44347608 44966988 45113728 46417536 46523532 47208744 47677008 48342888 49054896 49685746 49891059 50752944 51288512 51500448 52162748 52737696 53294208 53636634 54202632 54385749 55366848 56140128 56904816 57097062 57532032 57699576 58335552 59130144 59329908 59955984 60977961 61243776 62031376 62287704 62944992 63569344 64017918 64457184 64912023 65406528 65555886 66521412 67450482 67670592 68667264 69626304 69785298 70316928 70813116 71515512 72270176 72514332 73502054 74528619 74853504 75873088 76129416 76932768 78244122 78840192 79106544 79941312 80454951 81303948 83050272 83926656 84210192 85357224 85645593 85942912 86298048 86549364 87407848 88695216 89933976 93047064 94417488 95354016 96026877 96685776 98109792 98333829 99371492 99782118 101505888 102577024 103000896 104325496 104677947 105475392 107273268 108405264 108771498 110253081 110733696 112280256 113809632 114194124 115399152 116671104 117366183 118260288 118659816 119911968 120185791 121955922 124062752 124575408 125889984 127138688 128035836 128914368 129824046 130813056 131111772 133042824 134900964 135341184 139252608 139570596 141626232 143031024 143447557 144540352 145028664 147004108 149057238 151746176 152258832 153865536 156488244 158213088 159882624 160909902 162607896 163157247 166100544 168420384 170714448 171291186 172596096 173098728 174815696 177390432 179867952 182933883 186094128 188834976 190708032 192053754 193371552 194736069 196219584 196667658 198742984 199564236 203011776 206001792 208650992 209355894 210950784 214546536 216810528 217542996 220506162 223585857 224560512 227619264 228388248 230798304 234732366 236520576 237319632 239823936 240371582 241364853 243911844 248125504 249150816 251779968 256071672 257828736 259648092 262223544 266085648 269801928 279141192 283252464 286062048 286895114 288080631 289080704 290057328 294008216 295001487 298114476 304517664 307731072 312976488 314033841 316426176 321819804 325215792 326314494 330759243 332201088 336840768 341428896 342582372 346197456 349631392 352098549 354780864 359735904 360557373 365867766 372188256 377669952 381416064 384107508 386743104 389472138 392439168 393335316 397485968 399128472 404261297 406023552 417301984 418711788 429093072 430342671 433621056 435085992 441012324 447171714 455238528 456776496 461596608 469464732 474639264 479647872 480743164 482729706 487823688 496251008 498301632 512143344 519296184 524447088 532171296 539603856 548801649 558282384 566504928 572124096 573790228 576161262 580114656 588016432 590002974 596228952 609035328 625952976 628067682 632852352 643639608 650431584 652628988 661518486 670757571 673681536 682857792 685164744 692394912 699262784 704197098 709561728 719471808 721114746 731735532 744376512 755339904 768215016 773486208 778944276 786670632 794971936 798256944 808522594 834603968 837423576 858186144 860685342 867242112 870171984 882024648 885004461 894343428 913552992 923193216 938929464 942101523 949278528 961486328 965459412 975647376 992277729 996603264 1024286688 1038592368 1048894176 1056295647 1064342592 1079207712 1081672119 1097603298 1116564768 1133009856 1144248192 1147580456 1152322524 1160229312 1176032864 1180005948 1192457904 1212783891 1218070656 1251905952 1256135364 1287279216 1291028013 1300863168 1305257976 1323036972 1341515142 1365715584 1370329488 1384789824 1398525568 1408394196 1438943616 1442229492 1463471064 1488753024 1536430032 1557888552 1573341264 1589943872 1596513888 1617045188 1669207936 1674847152 1716372288 1721370684 1740343968 1764049296 1770008922 1788686856 1827105984 1877858928 1884203046 1898557056 1922972656 1930918824 1951294752 1984555458 2012272713 2048573376 2077184736 2097788352 2112591294 2128685184 2158415424 2163344238 2195206596 2233129536 2266019712 2295160912 2304645048 2320458624 2352065728 2360011896 2384915808 2425567782 2503811904 2512270728 2574558432 2582056026 2601726336 2610515952 2646073944 2655013383 2683030284 2740658976 2769579648 2816788392 2884458984 2926942128 2976833187 3072860064 3115777104 3146682528 3168886941 3179887744 3193027776 3234090376 3245016357 3349694304 3432744576 3442741368 3480687936 3528098592 3540017844 3577373712 3638351673 3654211968 3755717856 3768406092 3845945312 3861837648 3873084039 3902589504 3969110916 4024545426 4097146752 4154369472 4195576704 4225182588 4316830848 4326688476 4390413192 4446874267 4466259072 4590321824 4609290096 4704131456 4720023792 4769831616 4851135564 5007623808 5024541456 5149116864 5164112052 5221031904 5292147888 5310026766 5366060568 5481317952 5633576784 5768917968 5853884256 5953666374 6036818139 6145720128 6231554208 6293365056 6337773882 6386055552 6468180752 6490032714 6699388608 6885482736 6961375872 7056197184 7080035688 7154747424 7276703346 7511435712 7536812184 7691890624 7723675296 7746168078 7805179008 7938221832 8049090852 8308738944 8450365176 8653376952 8780826384 8893748534 8930499561 9180643648 9218580192 9440047584 9539663232 9702271128 9735049071 10049082912 10298233728 10328224104 10442063808 10584295776 10620053532 10732121136 10915055019 10962635904 11267153568 11537835936 11619252117 11707768512 11907332748 12073636278 12291440256 12463108416 12586730112 12675547764 12936361504 12980065428 13340622801 13398777216 13770965472 14112394368 14160071376 14309494848 14553406692 15022871424 15073624368 15383781248 15447350592 15492336156 15876443664 16098181704 16900730352 17306753904 17561652768 17787497068 17860999122 18361287296 18437160384 18880095168 19404542256 19470098142 20098165824 20656448208 20884127616 21168591552 21240107064 21464242272 21830110038 22534307136 23075671872 23238504234 23415537024 23814665496 24147272556 24926216832 25351095528 25872723008 25960130856 26681245602 27541930944 28320142752 28618989696 29106813384 29205147213 30147248736 30894701184 30984672312 31752887328 32196363408 32745165057 33801460704 34613507808 34857756351 35123305536 35574994136 35721998244 36874320768 37760190336 38809084512 38940196284 40021868403 40196331648 41312896416 42337183104 42480214128 42928484544 43660220076 45068614272 46151343744 46477008468 47629330992 48294545112 50702191056 51745446016 51920261712 53362491204 55083861888 56640285504 58213626768 58410294426 60294497472 61969344624 63505774656 64392726816 65490330114 67602921408 69227015616 69715512702 70246611072 71149988272 71443996488 77618169024 77880392568 80043736806 82625792832 84960428256 85856969088 87320440152 92954016936 95258661984 96589090224 98235495171 101404382112 103840523424 106724982408 113280571008 116427253536 116820588852 120065605209 120588994944 123938689248 127011549312 128785453632 130980660228 135205842816 138454031232 139431025404 142299976544 142887992976 155236338048 155760785136 160087473612 165251585664 169920856512 174640880304 185908033872 190517323968 193178180448 196470990342 202808764224 207681046848 213449964816 232854507072 233641177704 240131210418 247877378496 257570907264 261961320456 278862050808 284599953088 285775985952 311521570272 320174947224 339841713024 349281760608 360196815627 371816067744 381034647936 386356360896 392941980684 405617528448 415362093696 426899929632 465709014144 467282355408 480262420836 495754756992 523922640912 557724101616 569199906176 571551971904 623043140544 640349894448 698563521216 720393631254 743632135488 772712721792 785883961368 853799859264 934564710816 960524841672 1047845281824 1080590446881 1115448203232 1143103943808 1246086281088 1280699788896 1397127042432 1440787262508 1487264270976 1571767922736 1707599718528 1869129421632 1921049683344 2095690563648 2161180893762 2230896406464 2561399577792 2881574525016 3143535845472 3738258843264 3842099366688 4191381127296 4322361787524 4461792812928 5122799155584 5763149050032 6287071690944 7684198733376 8644723575048 11526298100064 12574143381888 15368397466752 17289447150096 23052596200128 34578894300192 46105192400256 69157788600384 138315577200768
- Sum of all divisors σ(n): 483688536764160
- Sum of proper divisors (its aliquot sum) s(n): 345372959563392
- 138315577200768 is an abundant number, because the sum of its proper divisors (345372959563392) is greater than itself. Its abundance is 207057382362624
Bases of 138315577200768
- Binary: 111110111001100000110101101100010010000100000002
- Hexadecimal: 0x7DCC1AD89080
- Base-36: 1D11ARGO00
Squares and roots of 138315577200768
- 138315577200768 squared (1383155772007682) is 19131198896381612566579789824
- 138315577200768 cubed (1383155772007683) is 2646142817895718494365678137812379691384832
-
The
square root of 138315577200768 is 11760764.3119300711 -
The
cube root of 138315577200768 is 51715.8536533127
Scales and comparisons
How big is 138315577200768?- 138,315,577,200,768 seconds is equal to 4,398,007 years, 26 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,315,577,200,768 would take you about ten million, nine hundred ninety-five thousand and eighteen 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 138315577200768 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138315577200768
- 138315577200768 backwards is 867002775513831
- The number of decimal digits it has is: 15
- The sum of 138315577200768's digits is 63
- 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 138315577200768 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138315577200768 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138315577200768/
Chicago style:
Numbermatics. 2024. "Number 138315577200768 - Facts about the integer". https://numbermatics.com/n/138315577200768/
The information we have on file for 138315577200768 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 138315577200768, math, Factors of 138315577200768, curriculum, school, college, exams, university, Prime factorization of 138315577200768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifteen billion, five hundred seventy-seven million, two hundred thousand, seven hundred sixty-eight.