138977553544704
138,977,553,544,704 is an even composite number composed of six prime numbers multiplied together.
138977553544704 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138977553544704:
29 × 34 × 7 × 172 × 29 × 2392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 17 × 29 × 239 × 239)See below for interesting mathematical facts about the number 138977553544704 from the Numbermatics database.
Names of 138977553544704
- Cardinal: 138977553544704 can be written as One hundred thirty-eight trillion, nine hundred seventy-seven billion, five hundred fifty-three million, five hundred forty-four thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38977553544704 × 1014
Factors of 138977553544704
Divisors of 138977553544704
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 29 32 34 36 42 48 51 54 56 58 63 64 68 72 81 84 87 96 102 108 112 116 119 126 128 136 144 153 162 168 174 189 192 203 204 216 224 232 238 239 252 256 261 272 288 289 306 324 336 348 357 378 384 406 408 432 448 459 464 476 478 493 504 512 522 544 567 576 578 609 612 648 672 696 714 717 756 768 783 812 816 864 867 896 918 928 952 956 986 1008 1044 1071 1088 1134 1152 1156 1218 1224 1296 1344 1377 1392 1428 1434 1479 1512 1536 1566 1624 1632 1673 1728 1734 1792 1827 1836 1856 1904 1912 1972 2016 2023 2088 2142 2151 2176 2268 2304 2312 2349 2436 2448 2592 2601 2688 2754 2784 2856 2868 2958 3024 3132 3213 3248 3264 3346 3451 3456 3468 3584 3654 3672 3712 3808 3824 3944 4032 4046 4063 4176 4284 4302 4352 4437 4536 4608 4624 4698 4872 4896 5019 5184 5202 5376 5481 5508 5568 5712 5736 5916 6048 6069 6264 6426 6453 6496 6528 6692 6902 6912 6931 6936 7308 7344 7424 7616 7648 7803 7888 8064 8092 8126 8352 8381 8568 8604 8704 8874 9072 9248 9396 9639 9744 9792 10038 10353 10368 10404 10752 10962 11016 11136 11424 11472 11832 12096 12138 12189 12528 12852 12906 12992 13056 13311 13384 13804 13824 13862 13872 14616 14688 14848 15057 15232 15296 15606 15776 16128 16184 16252 16443 16704 16762 17136 17208 17748 18144 18207 18496 18792 19278 19359 19488 19584 20076 20706 20736 20793 20808 21924 22032 22272 22848 22944 23409 23664 24192 24276 24378 25056 25143 25704 25812 25984 26112 26622 26768 27608 27724 27744 28441 29232 29376 30114 30464 30592 31059 31212 31552 32256 32368 32504 32886 33408 33524 34272 34416 35496 36288 36414 36567 36992 37584 38556 38718 38976 39168 39933 40152 41412 41472 41586 41616 43848 44064 44544 45171 45696 45888 46818 47328 48384 48517 48552 48756 50112 50286 51408 51624 51968 53244 53536 54621 55216 55448 55488 56882 57121 58464 58667 58752 60228 60928 61184 62118 62379 62424 63104 64736 65008 65772 66816 67048 68544 68832 69071 70992 72576 72828 73134 73984 75168 75429 77112 77436 77952 78336 79866 80304 82824 83172 83232 85323 87696 88128 90342 91392 91776 93177 93636 94656 96768 97034 97104 97512 100224 100572 102816 103248 103936 106488 107072 109242 109701 110432 110896 110976 113764 114242 116928 117334 117504 117827 120456 122368 124236 124758 124848 126208 129472 130016 131544 133632 134096 135513 137088 137664 138142 141984 145152 145551 145656 146268 147968 150336 150858 154224 154872 155904 159732 160608 163863 165648 166344 166464 170646 171363 175392 176001 176256 180684 182784 183552 186354 187137 187272 189312 194068 194208 195024 200448 201144 205632 206496 207213 212976 214144 218484 219402 220864 221792 221952 226287 227528 228484 233856 234668 235008 235654 240912 248472 249516 249696 252416 255969 258944 260032 263088 268192 271026 274176 275328 276284 279531 283968 290304 291102 291312 292536 300672 301716 308448 309744 311808 319464 321216 327726 329103 331296 332688 332928 341292 342726 350784 352002 352512 353481 361368 367104 372708 374274 374544 378624 388136 388416 390048 399847 400896 402288 411264 412992 414426 425952 428288 436653 436968 438804 441728 443584 443904 452574 455056 456968 467712 469336 471308 481824 483497 496944 499032 499392 511938 514089 517888 520064 526176 528003 536384 542052 548352 550656 552568 559062 561411 567936 582204 582624 585072 601344 603432 616896 619488 621639 638928 642432 655452 658206 662592 665376 665856 678861 682584 685452 701568 704004 705024 706962 722736 745416 748548 749088 757248 767907 776272 776832 780096 799694 804576 822528 824789 825984 828852 851904 856576 873306 873936 877608 883456 887168 905148 910112 913936 935424 938672 942616 963648 966994 971057 993888 998064 998784 1023876 1028178 1035776 1040128 1052352 1056006 1060443 1072768 1084104 1101312 1105136 1118124 1122822 1135872 1164408 1165248 1170144 1199541 1202688 1206864 1233792 1238976 1243278 1277856 1284864 1309959 1310904 1316412 1325184 1330752 1331712 1357722 1365168 1370904 1403136 1408008 1413924 1445472 1450491 1490832 1497096 1498176 1535814 1542267 1552544 1553664 1560192 1584009 1599388 1609152 1645056 1649578 1651968 1656509 1657704 1703808 1746612 1747872 1755216 1766912 1774336 1810296 1820224 1827872 1864917 1877344 1885232 1927296 1933988 1942114 1987776 1996128 1997568 2003059 2047752 2056356 2080256 2104704 2112012 2120886 2145536 2168208 2210272 2236248 2245644 2271744 2303721 2328816 2330496 2340288 2399082 2413728 2467584 2474367 2477952 2486556 2555712 2569728 2619918 2621808 2632824 2650368 2661504 2715444 2730336 2741808 2806272 2816016 2827848 2890944 2900982 2913171 2981664 2994192 2996352 3071628 3084534 3105088 3107328 3120384 3168018 3181329 3198776 3218304 3299156 3303936 3313018 3315408 3407616 3493224 3495744 3510432 3548672 3598623 3620592 3640448 3655744 3729834 3754688 3770464 3854592 3867976 3884228 3929877 3975552 3992256 3995136 4006118 4095504 4112712 4209408 4224024 4241772 4291072 4336416 4351473 4420544 4472496 4491288 4607442 4626801 4657632 4660992 4680576 4752027 4798164 4827456 4935168 4948734 4955904 4969527 4973112 5111424 5239836 5243616 5265648 5300736 5323008 5430888 5460672 5483616 5594751 5632032 5655696 5781888 5801964 5826342 5963328 5988384 5992704 6009177 6143256 6169068 6210176 6240768 6336036 6362658 6397552 6436608 6598312 6626036 6630816 6797399 6815232 6986448 6991488 7020864 7197246 7241184 7280896 7311488 7423101 7459668 7509376 7540928 7709184 7735952 7768456 7859754 7951104 7984512 8012236 8191008 8225424 8418816 8448048 8483544 8672832 8702946 8739513 8841088 8944992 8982576 9214884 9253602 9315264 9321984 9361152 9504054 9543987 9596328 9654912 9897468 9911808 9939054 9946224 10222848 10479672 10487232 10531296 10646016 10795869 10861776 10921344 10967232 11189502 11264064 11311392 11563776 11595563 11603928 11652684 11926656 11976768 11985408 12018354 12286512 12338136 12420352 12672072 12725316 12795104 12873216 13054419 13196624 13252072 13261632 13594798 13972896 13982976 14021413 14041728 14394492 14482368 14561792 14622976 14846202 14908581 14919336 15018752 15081856 15471904 15536912 15719508 15902208 15969024 16024472 16382016 16450848 16507969 16896096 16967088 17345664 17405892 17479026 17682176 17889984 17965152 18027531 18429768 18507204 18630528 18722304 19008108 19087974 19192656 19309824 19794936 19878108 19892448 20392197 20445696 20959344 20974464 21062592 21591738 21723552 21842688 21934464 22269303 22379004 22528128 22622784 23127552 23191126 23207856 23305368 23853312 23953536 24036708 24573024 24676272 24840704 25344144 25450632 25590208 26108838 26218539 26393248 26504144 26523264 27189596 27945792 27965952 28042826 28083456 28160653 28788984 28964736 29245952 29692404 29817162 29838672 30037504 30163712 30943808 31073824 31439016 31938048 32048944 32387607 32764032 32901696 33015938 33792192 33934176 34691328 34786689 34811784 34958052 35364352 35779968 35930304 36055062 36859536 37014408 37261056 38016216 38175948 38385312 38619648 39163257 39589872 39756216 39784896 40784394 41918688 41948928 42064239 42125184 43183476 43447104 43685376 43868928 44538606 44725743 44758008 45056256 45245568 46382252 46415712 46610736 47706624 47907072 48073416 49146048 49352544 49523907 50688288 50901264 51180416 52217676 52437078 52786496 53008288 53046528 54082593 54379192 55891584 56085652 56166912 56321306 57577968 57929472 59384808 59634324 59677344 60327424 61176591 61887616 62147648 62878032 64097888 64775214 65528064 65803392 66031876 66807909 67584384 67868352 69382656 69573378 69623568 69916104 71559936 71860608 72110124 73719072 74028816 74522112 76032432 76351896 76770624 78326514 78655617 79179744 79512432 79569792 81568788 83837376 83897856 84128478 84250368 84481959 86366952 86894208 87737856 89077212 89451486 89516016 90112512 90491136 92764504 92831424 93221472 95814144 96146832 98292096 98705088 99047814 101376576 101802528 102360832 104360067 104435352 104874156 105572992 106016576 106093056 108165186 108758384 111783168 112171304 112642612 115155936 115555783 115858944 118769616 119268648 119354688 122353182 123775232 124295296 125756064 126192717 128195776 129550428 131056128 131606784 132063752 133615818 134177229 135168768 135736704 139146756 139247136 139832208 143119872 143721216 144220248 147438144 148057632 148571721 152064864 152703792 153541248 156653028 157311234 158359488 159024864 159139584 162247779 163137576 167674752 168256956 168500736 168963918 172733904 173788416 178154424 178902972 179032032 180982272 183529773 185529008 185662848 186442944 192293664 196584192 197124571 197410176 198095628 202753152 203605056 204721664 208720134 208870704 209748312 211145984 212033152 216330372 217516768 223566336 224342608 225285224 230311872 231111566 237539232 238537296 238709376 244706364 247550464 248590592 251512128 252385434 253445877 256391552 259100856 263213568 264127504 267231636 268354458 270337536 271473408 278293512 278494272 279664416 287442432 288440496 294876288 296115264 297143442 304129728 305407584 307082496 313080201 313306056 314622468 316718976 318049728 318279168 324495558 326275152 335349504 336513912 337927836 345467808 346667349 347576832 356308848 357805944 358064064 367059546 371058016 371325696 372885888 378578151 384587328 393168384 394249142 394820352 396191256 405506304 407210112 417440268 417741408 419496624 422291968 424066304 432660744 435033536 445715163 448685216 450570448 460623744 462223132 475078464 477074592 477418752 478731101 489412728 497181184 503024256 504770868 506891754 512783104 518201712 528255008 534463272 536708916 542946816 550589319 556587024 556988544 559328832 576880992 589752576 591373713 592230528 594286884 608259456 610815168 614164992 626160402 626612112 629244936 633437952 636099456 648991116 652550304 670699008 673027824 675855672 690935616 693334698 712617696 715611888 716128128 734119092 742116032 742651392 745771776 757156302 760337631 769174656 788498284 789640704 792382512 811012608 814420224 834880536 835482816 838993248 848132608 865321488 870067072 891430326 897370432 901140896 921247488 924446264 939240603 950156928 954149184 954837504 957462202 978825456 1006048512 1009541736 1013783508 1025566208 1036403424 1040002047 1056510016 1068926544 1073417832 1101178638 1113174048 1113977088 1118657664 1135734453 1153761984 1179505152 1182747426 1184461056 1188573768 1216518912 1221630336 1252320804 1253224224 1258489872 1266875904 1272198912 1297982232 1305100608 1337145489 1346055648 1351711344 1381871232 1386669396 1425235392 1431223776 1432256256 1436193303 1468238184 1484232064 1491543552 1514312604 1520675262 1538349312 1576996568 1584765024 1628840448 1669761072 1670965632 1677986496 1730642976 1740134144 1774121139 1782860652 1794740864 1802281792 1842494976 1848892528 1878481206 1900313856 1908298368 1914924404 1957650912 2012097024 2019083472 2027567016 2072806848 2080004094 2113020032 2137853088 2146835664 2202357276 2226348096 2227954176 2237315328 2271468906 2281012893 2307523968 2365494852 2368922112 2377147536 2433037824 2443260672 2504641608 2506448448 2516979744 2544397824 2595964464 2610201216 2674290978 2692111296 2703422688 2763742464 2773338792 2850470784 2862447552 2864512512 2872386606 2936476368 2968464128 3028625208 3041350524 3076698624 3120006141 3153993136 3169530048 3339522144 3341931264 3351117707 3355972992 3461285952 3480268288 3548242278 3565721304 3589481728 3604563584 3697785056 3756962412 3800627712 3816596736 3829848808 3915301824 4038166944 4055134032 4145613696 4160008188 4226040064 4275706176 4293671328 4308579909 4404714552 4452696192 4474630656 4542937812 4562025786 4615047936 4730989704 4754295072 4886521344 5009283216 5012896896 5033959488 5191928928 5220402432 5322363417 5348581956 5384222592 5406845376 5527484928 5546677584 5700941568 5724895104 5744773212 5872952736 5936928256 6057250416 6082701048 6240012282 6307986272 6339060096 6679044288 6683862528 6702235414 6711945984 6922571904 7096484556 7131442608 7178963456 7209127168 7395570112 7513924824 7633193472 7659697616 7830603648 8076333888 8110268064 8291227392 8320016376 8452080128 8551412352 8587342656 8617159818 8809429104 8905392384 9085875624 9124051572 9230095872 9360018423 9461979408 9508590144 10018566432 10025793792 10053353121 10067918976 10383857856 10440804864 10644726834 10697163912 10768445184 10813690752 11093355168 11401883136 11449790208 11489546424 11745905472 12114500832 12165402096 12480024564 12615972544 12678120192 12925739727 13358088576 13404470828 13423891968 13845143808 14192969112 14262885216 14418254336 14791140224 15027849648 15319395232 15661207296 15967090251 16152667776 16220536128 16582454784 16640032752 17102824704 17174685312 17234319636 17618858208 17810784768 18171751248 18248103144 18720036846 18923958816 19017180288 20037132864 20051587584 20106706242 20135837952 20767715712 21289453668 21394327824 21536890368 21627381504 22186710336 22899580416 22979092848 23491810944 24229001664 24330804192 24960049128 25231945088 25356240384 25851479454 26716177152 26808941656 27690287616 28385938224 28525770432 29582280448 30055699296 30160059363 30638790464 31322414592 31934180502 32305335552 32441072256 33280065504 34205649408 34349370624 34468639272 35237716416 36343502496 36496206288 37440073692 37847917632 38034360576 38777219181 40074265728 40213412484 40271675904 41535431424 42578907336 42788655648 43254763008 44373420672 45958185696 46983621888 48458003328 48661608384 49920098256 50463890176 51702958908 53432354304 53617883312 56771876448 57051540864 59164560896 60111398592 60320118726 61277580928 63868361004 64610671104 64882144512 66560131008 68698741248 68937278544 70475432832 72687004992 72992412576 74880147384 75695835264 76068721152 77554438362 80148531456 80426824968 83070862848 85157814672 85577311296 88746841344 90480178089 91916371392 93967243776 96916006656 97323216768 99840196512 100927780352 103405917816 107235766624 113543752896 114103081728 120222797184 120640237452 122555161856 127736722008 129764289024 133120262016 137874557088 140950865664 145374009984 145984825152 149760294768 151391670528 155108876724 160297062912 160853649936 170315629344 171154622592 177493682688 180960356178 183832742784 193832013312 194646433536 199680393024 206811835632 214471533248 227087505792 228206163456 240445594368 241280474904 245110323712 255473444016 266240524032 271440534267 275749114176 281901731328 290748019968 291969650304 299520589536 302783341056 310217753448 321707299872 340631258688 342309245184 361920712356 367665485568 389292867072 399360786048 413623671264 428943066496 454175011584 480891188736 482560949808 510946888032 532481048064 542881068534 551498228352 581496039936 583939300608 599041179072 620435506896 643414599744 681262517376 684618490368 723841424712 735330971136 798721572096 827247342528 857886132992 908350023168 965121899616 1021893776064 1085762137068 1102996456704 1167878601216 1198082358144 1240871013792 1286829199488 1362525034752 1447682849424 1597443144192 1654494685056 1715772265984 1930243799232 2043787552128 2171524274136 2205992913408 2396164716288 2481742027584 2573658398976 2725050069504 2895365698848 3308989370112 3860487598464 4087575104256 4343048548272 4792329432576 4963484055168 5147316797952 5790731397696 6617978740224 7720975196928 8175150208512 8686097096544 9926968110336 11581462795392 15441950393856 17372194193088 19853936220672 23162925590784 34744388386176 46325851181568 69488776772352 138977553544704
- Sum of all divisors σ(n): 523151331729840
- Sum of proper divisors (its aliquot sum) s(n): 384173778185136
- 138977553544704 is an abundant number, because the sum of its proper divisors (384173778185136) is greater than itself. Its abundance is 245196224640432
Bases of 138977553544704
- Binary: 111111001100110001110111011010111110110000000002
- Hexadecimal: 0x7E663BB5F600
- Base-36: 1D9HEN3400
Squares and roots of 138977553544704
- 138977553544704 squared (1389775535447042) is 19314760389271067355326447616
- 138977553544704 cubed (1389775535447043) is 2684318146203047637818958678570100970225664
-
The
square root of 138977553544704 is 11788874.1423727143 -
The
cube root of 138977553544704 is 51798.2261564055
Scales and comparisons
How big is 138977553544704?- 138,977,553,544,704 seconds is equal to 4,419,056 years, 16 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,977,553,544,704 would take you about eleven million, forty-seven thousand, six hundred forty 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 138977553544704 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138977553544704
- 138977553544704 backwards is 407445355779831
- 138977553544704 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138977553544704'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 138977553544704 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 138977553544704 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138977553544704/
Chicago style:
Numbermatics. 2024. "Number 138977553544704 - Facts about the integer". https://numbermatics.com/n/138977553544704/
The information we have on file for 138977553544704 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 138977553544704, math, Factors of 138977553544704, curriculum, school, college, exams, university, Prime factorization of 138977553544704, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred seventy-seven billion, five hundred fifty-three million, five hundred forty-four thousand, seven hundred four.