138938412899917363896
138,938,412,899,917,363,896 is an even composite number composed of five prime numbers multiplied together.
What does the number 138938412899917363896 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
138938412899917363896 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138938412899917363896:
23 × 33 × 193 × 713 × 161872
(2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 19 × 71 × 71 × 71 × 16187 × 16187)See below for interesting mathematical facts about the number 138938412899917363896 from the Numbermatics database.
Names of 138938412899917363896
- Cardinal: 138938412899917363896 can be written as One hundred thirty-eight quintillion, nine hundred thirty-eight quadrillion, four hundred twelve trillion, eight hundred ninety-nine billion, nine hundred seventeen million, three hundred sixty-three thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.38938412899917363896 × 1020
Factors of 138938412899917363896
Divisors of 138938412899917363896
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 71 72 76 108 114 142 152 171 213 216 228 284 342 361 426 456 513 568 639 684 722 852 1026 1083 1278 1349 1368 1444 1704 1917 2052 2166 2556 2698 2888 3249 3834 4047 4104 4332 5041 5112 5396 6498 6859 7668 8094 8664 9747 10082 10792 12141 12996 13718 15123 15336 16187 16188 19494 20164 20577 24282 25631 25992 27436 30246 32374 32376 36423 38988 40328 41154 45369 48561 48564 51262 54872 60492 61731 64748 72846 76893 77976 82308 90738 95779 97122 97128 102524 120984 123462 129496 136107 145683 145692 153786 164616 181476 185193 191558 194244 205048 230679 246924 272214 287337 291366 291384 307553 307572 357911 362952 370386 383116 388488 437049 461358 486989 493848 544428 574674 582732 615106 615144 692037 715822 740772 766232 862011 874098 922659 922716 973978 1073733 1088856 1149277 1149348 1165464 1230212 1384074 1431644 1460967 1481544 1724022 1748196 1819801 1845318 1845432 1947956 2147466 2298554 2298696 2460424 2586033 2767977 2768148 2863288 2921934 3221199 3447831 3448044 3496392 3639602 3690636 3895912 4294932 4382901 4597108 5172066 5459403 5535954 5536296 5843507 5843868 6442398 6800309 6895662 6896088 7279204 7381272 8303931 8589864 8765802 9194216 9663597 10343493 10344132 10918806 11071908 11687014 11687736 12884796 13148703 13600618 13791324 14558408 16378209 16607862 17530521 17531604 19327194 20400927 20686986 20688264 21836263 21837612 22143816 23374028 25769592 26297406 27201236 27582648 31030479 32756418 33215724 34576219 35061042 35063208 38654388 40801854 41373972 43672526 43675224 46748056 49134627 52591563 52594812 54402472 61202781 62060958 65508789 65512836 66431448 69152438 70122084 77308776 81598667 81603708 82747944 87345052 98269254 103728657 105183126 105189624 111026633 122405562 124121916 129205871 131017578 131025672 138304876 140244168 157774689 163197334 163207416 174690104 183608343 196526367 196538508 207457314 210366252 222053266 244796001 244811124 248243832 258411742 262018969 262035156 276609752 311185971 315549378 326394668 333079899 367216686 387617613 393052734 393077016 414888997 414914628 420732504 444106532 489592002 489622248 516823484 524037938 524070312 589579101 622371942 631098756 652789336 666159798 734388003 734433372 775235226 786056907 786105468 829777994 829829256 888213064 933557913 979184004 999239697 1033646968 1048075876 1162852839 1179158202 1244666991 1244743884 1262197512 1332319596 1468776006 1468866744 1550374673 1550470452 1572113814 1572210936 1659555988 1867115826 1958368008 1998479394 2096151752 2203164009 2325705678 2358170721 2358316404 2454911549 2489333982 2489487768 2664639192 2937552012 2997719091 3100749346 3100940904 3144227628 3319111976 3488558517 3734000973 3734231652 3996958788 4406328018 4651124019 4651411356 4716341442 4716632808 4909823098 4978360411 4978667964 5793505357 5875104024 5995438182 6201498692 6288455256 6977117034 7074512163 7364734647 7468001946 7468463304 7882890943 7993917576 8812656036 9302248038 9302822712 9432682884 9819646196 9956720822 9957335928 11202002919 11587010714 11990876364 12402997384 13953372057 13954234068 14149024326 14729469294 14935081233 14936003892 15765781886 17380516071 17625312072 18603346799 18604496076 18865365768 19639292392 19913441644 22094203941 22404005838 23174021428 23648672829 23981752728 27906744114 27908468136 28298048652 29457118787 29458938588 29870162466 29872007784 31531563772 34761032142 37206693598 37208992152 39826883288 41860116171 44188407882 44805243699 44808011676 46348042856 47297345658 52141548213 55810040397 55813488228 56596097304 58914237574 58917877176 59740324932 63063127544 66282611823 69522064284 70946018487 74413387196 83720232342 88371356361 88376815764 89610487398 89616023352 94588847809 94594691316 104283096426 110076601783 111620080794 111626976456 117828475148 119480649864 132565223646 134415731097 139044128568 141892036974 148826774392 156424644639 167430121191 167440464684 176742712722 176753631528 179220974796 189177695618 189189382632 208566192852 212838055461 220153203566 223240161588 235656950296 265114069083 265130447292 268831462194 283766543427 283784073948 312849289278 330229805349 334860242382 334880929368 353463589181 353485425444 358441949592 378355391236 417132385704 425676110922 440306407132 446480323176 502290363573 530228138166 530260894584 537662924388 559685256953 567533086854 567568147896 625698578556 660459610698 669720484764 706927178362 706970850888 756710782472 795342207249 851299630281 851352221844 880612814264 990689416047 1004580727146 1060390767543 1060456276332 1075325848776 1119370513906 1135066173708 1251397157112 1320837622729 1320919221396 1339440969528 1413854356724 1590684414498 1679055770859 1702599260562 1702704443688 1797188108371 1981378832094 2009161454292 2091455433877 2120781535086 2120912552664 2238741027812 2270132347416 2553898890843 2641675245458 2641838442792 2827708713448 2972068248141 3181172302629 3181368828996 3358111541718 3405198521124 3594376216742 3962512868187 3962757664188 4018322908584 4182910867754 4241563070172 4477482055624 5037167312577 5107797781686 5283350490916 5391564325113 5944136496282 6274366301631 6362344605258 6362737657992 6715808194439 6716223083436 6810397042248 7188752433484 7925025736374 7925515328376 8365821735508 8483126140344 9543516907887 10074334625154 10215595563372 10566700981832 10783128650226 11887538604561 11888272992564 12548732603262 12724689210516 13431616388878 13432446166872 14377504866968 15111501937731 15850051472748 16174692975339 16731643471016 18823098904893 19087033815774 20147424583317 20148669250308 20431191126744 21566257300452 23775077209122 23776545985128 25095914831851 25097465206524 25449378421032 26863232777756 30223003875462 31700102945496 32349385950678 35662615813683 37646197809786 38174067631548 39737653243663 40294849166634 40297338500616 43132514600904 47550154418244 48524078926017 50191829663702 50194930413048 53726465555512 56469296714679 60442273749951 60446007750924 64698771901356 71325231627366 75287744495553 75292395619572 76348135263096 79475306487326 80589698333268 93779471213759 95100308836488 97048157852034 100383659327404 112938593429358 119212959730989 120884547499902 120892015501848 127600355694341 129397543802712 142650463254732 150575488991106 150584791239144 158950612974652 161179396666536 181326821249853 187558942427518 194096315704068 200767318654808 225863233486659 225877186858716 238425919461978 241769094999804 255200711388682 281338413641277 285300926509464 301150977982212 317901225949304 357638879192967 362653642499706 375117884855036 382801067083023 388192631408136 451726466973318 451754373717432 476822381805169 476851838923956 483538189999608 510401422777364 562676827282554 602301955964424 677589700459977 715277758385934 725307284999412 750235769710072 765602134166046 844015240923831 903452933946636 953644763610338 953703677847912 1020802845554728 1072916637578901 1125353654565108 1148403201249069 1355179400919954 1430467145415507 1430555516771868 1450614569998824 1531204268332092 1688030481847662 1781809953061421 1806905867893272 1907289527220676 2145833275157802 2250707309130216 2296806402498138 2532045722771493 2710358801839908 2860934290831014 2861111033543736 3062408536664184 3376060963695324 3445209603747207 3563619906122842 3814579054441352 4291401436246521 4291666550315604 4593612804996276 5064091445542986 5345429859184263 5420717603679816 5721868581662028 6752121927390648 6890419207494414 7127239812245684 8582802872493042 8583333100631208 9059625254298211 9187225609992552 10128182891085972 10690859718368526 11443737163324056 12874204308739563 13780838414988828 14254479624491368 16036289577552789 17165605744986084 18119250508596422 20256365782171944 21381719436737052 25748408617479126 27178875762894633 27561676829977656 32072579155105578 33854389108166999 34331211489972168 36238501017192844 42763438873474104 48108868732658367 51496817234958252 54357751525789266 64145158310211156 67708778216333998 72477002034385688 81536627288683899 96217737465316734 101563167324500997 102993634469916504 108715503051578532 128290316620422312 135417556432667996 163073254577367798 192435474930633468 203126334649001994 217431006103157064 244609881866051697 270835112865335992 304689501973502991 326146509154735596 384870949861266936 406252669298003988 489219763732103394 609379003947005982 643233393055172981 652293018309471192 812505338596007976 914068505920508973 978439527464206788 1218758007894011964 1286466786110345962 1828137011841017946 1929700179165518943 1956879054928413576 2437516015788023928 2572933572220691924 3656274023682035892 3859400358331037886 5145867144441383848 5789100537496556829 7312548047364071784 7718800716662075772 11578201074993113658 15437601433324151544 17367301612489670487 23156402149986227316 34734603224979340974 46312804299972454632 69469206449958681948 138938412899917363896
- Sum of all divisors σ(n): 413223220826232192000
- Sum of proper divisors (its aliquot sum) s(n): 274284807926314828104
- 138938412899917363896 is an abundant number, because the sum of its proper divisors (274284807926314828104) is greater than itself. Its abundance is 135346395026397464208
Bases of 138938412899917363896
- Binary: 11110001000001010000110011001100111101111000001111111111010101110002
- Hexadecimal: 0x788286667BC1FFAB8
- Base-36: TBL78WAHZAGU0
Squares and roots of 138938412899917363896
- 138938412899917363896 squared (1389384128999173638962) is 19303882579147923751724008145525684298816
- 138938412899917363896 cubed (1389384128999173638963) is 2682050808353175962746333074507479277347533881544011873947136
-
The
square root of 138938412899917363896 is 11787213958.3498425565 -
The
cube root of 138938412899917363896 is 5179336.3005780021
Scales and comparisons
How big is 138938412899917363896?- 138,938,412,899,917,363,896 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,938,412,899,917,363,896 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 138938412899917363896 cubic inches would be around 431611.4 feet tall.
Recreational maths with 138938412899917363896
- 138938412899917363896 backwards is 698363719998214839831
- The number of decimal digits it has is: 21
- The sum of 138938412899917363896's digits is 117
- More coming soon!
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The information we have on file for 138938412899917363896 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 138938412899917363896, math, Factors of 138938412899917363896, curriculum, school, college, exams, university, Prime factorization of 138938412899917363896, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred thirty-eight quadrillion, four hundred twelve trillion, eight hundred ninety-nine billion, nine hundred seventeen million, three hundred sixty-three thousand, eight hundred ninety-six.