138975218678169694464
138,975,218,678,169,694,464 is an even composite number composed of seven prime numbers multiplied together.
138975218678169694464 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138975218678169694464:
28 × 3 × 7 × 192 × 29 × 79 × 31256893639
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 19 × 29 × 79 × 31256893639)See below for interesting mathematical facts about the number 138975218678169694464 from the Numbermatics database.
Names of 138975218678169694464
- Cardinal: 138975218678169694464 can be written as One hundred thirty-eight quintillion, nine hundred seventy-five quadrillion, two hundred eighteen trillion, six hundred seventy-eight billion, one hundred sixty-nine million, six hundred ninety-four thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.38975218678169694464 × 1020
Factors of 138975218678169694464
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 31256893778
Divisors of 138975218678169694464
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 32 38 42 48 56 57 58 64 76 79 84 87 96 112 114 116 128 133 152 158 168 174 192 203 224 228 232 237 256 266 304 316 336 348 361 384 399 406 448 456 464 474 532 551 553 608 609 632 672 696 722 768 798 812 896 912 928 948 1064 1083 1102 1106 1216 1218 1264 1344 1392 1444 1501 1596 1624 1653 1659 1792 1824 1856 1896 2128 2166 2204 2212 2291 2432 2436 2527 2528 2688 2784 2888 3002 3192 3248 3306 3318 3648 3712 3792 3857 4256 4332 4408 4424 4503 4582 4864 4872 5054 5056 5376 5568 5776 6004 6384 6496 6612 6636 6873 7296 7424 7581 7584 7714 8512 8664 8816 8848 9006 9164 9744 10108 10112 10469 10507 11136 11552 11571 12008 12768 12992 13224 13272 13746 14592 15162 15168 15428 16037 17024 17328 17632 17696 18012 18328 19488 20216 20224 20938 21014 22272 23104 23142 24016 25536 25984 26448 26544 27492 28519 30324 30336 30856 31407 31521 32074 34048 34656 35264 35392 36024 36656 38976 40432 41876 42028 43529 46208 46284 48032 48111 51072 51968 52896 53088 54984 57038 60648 60672 61712 62814 63042 64148 69312 70528 70784 72048 73283 73312 77952 80864 83752 84056 85557 87058 92416 92568 96064 96222 102144 105792 106176 109968 114076 121296 123424 125628 126084 128296 130587 138624 141056 141568 144096 146566 146624 155904 161728 167504 168112 171114 174116 185136 192128 192444 199633 211584 212352 219849 219936 228152 242592 246848 251256 252168 256592 261174 277248 288192 293132 293248 304703 323456 335008 336224 342228 348232 370272 384256 384888 399266 423168 424704 439698 439872 456304 485184 493696 502512 504336 513184 522348 576384 586264 586496 598899 609406 646912 670016 672448 684456 696464 740544 769776 798532 827051 879396 879744 912608 914109 970368 987392 1005024 1008672 1026368 1044696 1152768 1172528 1197798 1218812 1340032 1344896 1368912 1392928 1481088 1539552 1597064 1654102 1758792 1759488 1825216 1828218 1940736 2010048 2017344 2052736 2089392 2345056 2395596 2437624 2481153 2680064 2689792 2737824 2785856 2962176 3079104 3194128 3308204 3517584 3650432 3656436 4020096 4034688 4105472 4178784 4690112 4791192 4875248 4962306 5475648 5571712 5789357 6158208 6388256 6616408 7035168 7300864 7312872 8040192 8069376 8357568 9380224 9582384 9750496 9924612 10951296 11143424 11578714 12316416 12776512 13232816 14070336 14625744 16715136 17368071 18760448 19164768 19500992 19849224 21902592 23157428 25553024 26465632 28140672 29251488 33430272 34736142 38329536 39001984 39698448 46314856 51106048 52931264 56281344 58502976 69472284 76659072 78003968 79396896 92629712 105862528 117005952 138944568 153318144 158793792 185259424 211725056 234011904 277889136 317587584 370518848 555778272 635175168 741037696 1111556544 1482075392 2223113088 4446226176 31256893639 62513787278 93770680917 125027574556 187541361834 218798255473 250055149112 375082723668 437596510946 500110298224 593880979141 656394766419 750165447336 875193021892 906449915531 1000220596448 1187761958282 1312789532838 1500330894672 1750386043784 1781642937423 1812899831062 2000441192896 2375523916564 2469294597481 2625579065676 2719349746593 3000661789344 3500772087568 3563285874846 3625799662124 4000882385792 4157166853987 4751047833128 4938589194962 5251158131352 5438699493186 6001323578688 6345149408717 7001544175136 7126571749692 7251599324248 7407883792443 8001764771584 8314333707974 9502095666256 9877178389924 10502316262704 10877398986372 11283738603679 12002647157376 12471500561961 12690298817434 14003088350272 14253143499384 14503198648496 14815767584886 16628667415948 17222548395089 17285062182367 19004191332512 19035448226151 19754356779848 21004632525408 21754797972744 22567477207358 24005294314752 24943001123922 25380597634868 28006176700544 28506286998768 29006397296992 29631535169772 33257334831896 33851215811037 34445096790178 34570124364734 38008382665024 38070896452302 39508713559696 42009265050816 43509595945488 45134954414716 46916597352139 49886002247844 50761195269736 51667645185267 51855186547101 56012353401088 57012573997536 58012794593984 59263070339544 66514669663792 67702431622074 68890193580356 69140248729468 71609543326949 76016765330048 76141792904604 78986170225753 79017427119392 84018530101632 87019191890976 90269908829432 93833194704278 99772004495688 101522390539472 103335290370534 103710373094202 114025147995072 116025589187968 118526140679088 120557838765623 133029339327584 135404863244148 137780387160712 138280497458936 140749792056417 143219086653898 152033530660096 152283585809208 157972340451506 158034854238784 168037060203264 174038383781952 180539817658864 187666389408556 199544008991376 203044781078944 206670580741068 207420746188404 214828629980847 228050295990144 232051178375936 236958510677259 237052281358176 241115677531246 266058678655168 270809726488296 275560774321424 276560994917872 281499584112834 286438173307796 304567171618416 315944680903012 316069708477568 327228419506691 328416181464973 348076767563904 361079635317728 361673516296869 375332778817112 399088017982752 406089562157888 413341161482136 414841492376808 429657259961694 456100591980288 473917021354518 474104562716352 482231355062492 501266803288643 532117357310336 541619452976592 551121548642848 553121989835744 562999168225668 572876346615592 609134343236832 631889361806024 632139416955136 654456839013382 656832362929946 696153535127808 722159270635456 723347032593738 750665557634224 798176035965504 812179124315776 826682322964272 829682984753616 859314519923388 891415349690641 947834042709036 948209125432704 964462710124984 981685258520073 985248544394919 1002533606577286 1064234714620672 1083238905953184 1102243097285696 1106243979671488 1125998336451336 1145752693231184 1218268686473664 1263778723612048 1308913678026764 1313664725859892 1360581323212031 1444318541270912 1446694065187476 1501331115268448 1503800409865929 1596352071931008 1624358248631552 1653364645928544 1659365969507232 1718629039846776 1782830699381282 1895668085418072 1896418250865408 1928925420249968 1963370517040146 1970497088789838 2005067213154572 2166477811906368 2204486194571392 2212487959342976 2251996672902672 2290598936546837 2291505386462368 2436537372947328 2527557447224096 2617827356053528 2627329451719784 2674246049071923 2721162646424062 2888637082541824 2893388130374952 3002662230536896 3007600819731858 3192704143862016 3306729291857088 3318731939014464 3437258079693552 3565661398762564 3791336170836144 3857850840499936 3926741034080292 3940994177579676 4010134426309144 4081743969636093 4332955623812736 4408972389142784 4424975918685952 4503993345805344 4581197873093674 4583010772924736 4873074745894656 5055114894448192 5235654712107056 5254658903439568 5348492098143846 5442325292848124 5786776260749904 6005324461073792 6015201639463716 6239907447834487 6613458583714176 6637463878028928 6871796809640511 6874516159387104 7131322797525128 7582672341672288 7715701680999872 7853482068160584 7881988355159352 8020268852618288 8163487939272186 8665911247625472 9007986691610688 9162395746187348 9166021545849472 9524069262484217 10110229788896384 10471309424214112 10509317806879136 10696984196287692 10884650585696248 11573552521499808 12010648922147584 12030403278927432 12479814895668974 13226917167428352 13274927756057856 13743593619281022 13749032318774208 14262645595050256 15165344683344576 15431403361999744 15706964136321168 15763976710318704 16040537705236576 16326975878544372 18015973383221376 18324791492374696 18332043091698944 18719722343503461 19048138524968434 20220459577792768 20942618848428224 21018635613758272 21393968392575384 21769301171392496 23147105042999616 24060806557854864 24959629791337948 25851045141028589 27487187238562044 27498064637548416 28525291190100512 28572207787452651 30330689366689152 30862806723999488 31413928272642336 31527953420637408 32081075410473152 32653951757088744 36031946766442752 36649582984749392 37439444687006922 38096277049936868 41885237696856448 42037271227516544 42787936785150768 43538602342784992 46294210085999232 48121613115709728 49919259582675896 51702090282057178 54974374477124088 54996129275096832 57050582380201024 57144415574905302 60661378733378304 62827856545284672 63055906841274816 64162150820946304 65307903514177488 73299165969498784 74878889374013844 76192554099873736 77553135423085767 83770475393712896 84074542455033088 85575873570301536 87077204685569984 92588420171998464 96243226231419456 99838519165351792 103404180564114356 109948748954248176 114101164760402048 114288831149810604 125655713090569344 126111813682549632 128324301641892608 130615807028354976 146598331938997568 149757778748027688 152385108199747472 155106270846171534 171151747140603072 174154409371139968 180957315987200123 192486452462838912 199677038330703584 206808361128228712 219897497908496352 228202329520804096 228577662299621208 251311426181138688 252223627365099264 261231614056709952 293196663877995136 299515557496055376 304770216399494944 310212541692343068 342303494281206144 348308818742279936 361914631974400246 384972904925677824 399354076661407168 413616722256457424 439794995816992704 457155324599242416 522463228113419904 542871947961600369 586393327755990272 599031114992110752 609540432798989888 620425083384686136 684606988562412288 723829263948800492 798708153322814336 827233444512914848 879589991633985408 914310649198484832 1044926456226839808 1085743895923200738 1198062229984221504 1219080865597979776 1240850166769372272 1447658527897600984 1597416306645628672 1654466889025829696 1759179983267970816 1828621298396969664 2171487791846401476 2396124459968443008 2438161731195959552 2481700333538744544 2895317055795201968 3308933778051659392 3657242596793939328 4342975583692802952 4792248919936886016 4963400667077489088 5790634111590403936 6617867556103318784 7314485193587878656 8685951167385605904 9926801334154978176 11581268223180807872 17371902334771211808 19853602668309956352 23162536446361615744 34743804669542423616 46325072892723231488 69487609339084847232 138975218678169694464
- Sum of all divisors σ(n): 467361475558290432000
- Sum of proper divisors (its aliquot sum) s(n): 328386256880120737536
- 138975218678169694464 is an abundant number, because the sum of its proper divisors (328386256880120737536) is greater than itself. Its abundance is 189411038201951043072
Bases of 138975218678169694464
- Binary: 11110001000101010110010100100010000110001101000100101110001000000002
- Hexadecimal: 0x788AB2910C6897100
- Base-36: TBV9NGFLTP0QO
Squares and roots of 138975218678169694464
- 138975218678169694464 squared (1389752186781696944642) is 19314111406645086718169720793395112247296
- 138975218678169694464 cubed (1389752186781696944643) is 2684182856313032606774697227209162712455382452507712730169344
-
The
square root of 138975218678169694464 is 11788775113.5633126243 -
The
cube root of 138975218678169694464 is 5179793.6079293497
Scales and comparisons
How big is 138975218678169694464?- 138,975,218,678,169,694,464 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,975,218,678,169,694,464 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 138975218678169694464 cubic inches would be around 431649.5 feet tall.
Recreational maths with 138975218678169694464
- 138975218678169694464 backwards is 464496961876812579831
- 138975218678169694464 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138975218678169694464's digits is 114
- More coming soon!
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The information we have on file for 138975218678169694464 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 138975218678169694464, math, Factors of 138975218678169694464, curriculum, school, college, exams, university, Prime factorization of 138975218678169694464, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred seventy-five quadrillion, two hundred eighteen trillion, six hundred seventy-eight billion, one hundred sixty-nine million, six hundred ninety-four thousand, four hundred sixty-four.