138155702239346688
138,155,702,239,346,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 138155702239346688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138155702239346688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138155702239346688:
214 × 33 × 13 × 61 × 7333
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 61 × 733 × 733 × 733)See below for interesting mathematical facts about the number 138155702239346688 from the Numbermatics database.
Names of 138155702239346688
- Cardinal: 138155702239346688 can be written as One hundred thirty-eight quadrillion, one hundred fifty-five trillion, seven hundred two billion, two hundred thirty-nine million, three hundred forty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38155702239346688 × 1017
Factors of 138155702239346688
Divisors of 138155702239346688
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 64 72 78 96 104 108 117 122 128 144 156 183 192 208 216 234 244 256 288 312 351 366 384 416 432 468 488 512 549 576 624 702 732 733 768 793 832 864 936 976 1024 1098 1152 1248 1404 1464 1466 1536 1586 1647 1664 1728 1872 1952 2048 2196 2199 2304 2379 2496 2808 2928 2932 3072 3172 3294 3328 3456 3744 3904 4096 4392 4398 4608 4758 4992 5616 5856 5864 6144 6344 6588 6597 6656 6912 7137 7488 7808 8192 8784 8796 9216 9516 9529 9984 11232 11712 11728 12288 12688 13176 13194 13312 13824 14274 14976 15616 16384 17568 17592 18432 19032 19058 19791 19968 21411 22464 23424 23456 24576 25376 26352 26388 26624 27648 28548 28587 29952 31232 35136 35184 36864 38064 38116 39582 39936 42822 44713 44928 46848 46912 49152 50752 52704 52776 53248 55296 57096 57174 59904 62464 70272 70368 73728 76128 76232 79164 79872 85644 85761 89426 89856 93696 93824 101504 105408 105552 106496 110592 114192 114348 119808 124928 134139 140544 140736 147456 152256 152464 158328 159744 171288 171522 178852 179712 187392 187648 203008 210816 211104 212992 221184 228384 228696 239616 249856 257283 268278 281088 281472 304512 304928 316656 319488 342576 343044 357704 359424 374784 375296 402417 406016 421632 422208 442368 456768 457392 479232 499712 514566 536556 537289 562176 562944 581269 609024 609856 633312 638976 685152 686088 715408 718848 749568 750592 804834 812032 843264 844416 913536 914784 958464 999424 1029132 1073112 1074578 1124352 1125888 1162538 1207251 1218048 1219712 1266624 1370304 1372176 1430816 1437696 1499136 1501184 1609668 1611867 1624064 1686528 1688832 1743807 1827072 1829568 1916928 2058264 2146224 2149156 2248704 2251776 2325076 2414502 2436096 2439424 2533248 2740608 2744352 2861632 2875392 2998272 3002368 3219336 3223734 3248128 3373056 3377664 3487614 3654144 3659136 4116528 4292448 4298312 4497408 4503552 4650152 4829004 4835601 4872192 4878848 5066496 5231421 5481216 5488704 5723264 5750784 6004736 6438672 6447468 6496256 6746112 6755328 6975228 6984757 7308288 7318272 8233056 8584896 8596624 8994816 9007104 9300304 9658008 9671202 9744384 9757696 10132992 10462842 10962432 10977408 11446528 12009472 12877344 12894936 12992512 13492224 13510656 13950456 13969514 14506803 14616576 14636544 15694263 16466112 17169792 17193248 18014208 18600608 19316016 19342404 19488768 19515392 20265984 20925684 20954271 21924864 21954816 22893056 25754688 25789872 26984448 27021312 27900912 27939028 29013606 29233152 29273088 31388526 32774629 32932224 34339584 34386496 36028416 37201216 38632032 38684808 38977536 39030784 40531968 41851368 41908542 43849728 43909632 45786112 51509376 51579744 54042624 55801824 55878056 58027212 58466304 58546176 62777052 62862813 65549258 65864448 68679168 68772992 74402432 77264064 77369616 78061568 81063936 83702736 83817084 87699456 87819264 91572224 98323887 103018752 103159488 108085248 111603648 111756112 116054424 116932608 117092352 125554104 125725626 131098516 131728896 137358336 137545984 148804864 154528128 154739232 156123136 162127872 167405472 167634168 175398912 175638528 183144448 188588439 196647774 206037504 206318976 223207296 223512224 232108848 234184704 251108208 251451252 262197032 263457792 274716672 275091968 294971661 297609728 309056256 309478464 324255744 334810944 335268336 350797824 351277056 366288896 377176878 393295548 393832837 412075008 412637952 426070177 446414592 447024448 464217696 468369408 502216416 502902504 524394064 526915584 549433344 550183936 589943322 595219456 618112512 618956928 669621888 670536672 702554112 732577792 754353756 786591096 787665674 824150016 825275904 852140354 884914983 892829184 894048896 928435392 1004432832 1005805008 1048788128 1053831168 1098866688 1100367872 1179886644 1181498511 1190438912 1236225024 1237913856 1278210531 1339243776 1341073344 1405108224 1508707512 1573182192 1575331348 1648300032 1650551808 1704280708 1769829966 1785658368 1788097792 1856870784 2008865664 2011610016 2097576256 2107662336 2197733376 2200735744 2359773288 2362997022 2380877824 2472450048 2475827712 2556421062 2678487552 2682146688 3017415024 3146364384 3150662696 3296600064 3301103616 3408561416 3539659932 3544495533 3571316736 3576195584 3713741568 3834631593 4017731328 4023220032 4195152512 4215324672 4401471488 4719546576 4725994044 4761755648 4944900096 4951655424 5112842124 5119826881 5356975104 5364293376 6034830048 6292728768 6301325392 6593200128 6602207232 6817122832 7079319864 7088991066 7142633472 7152391168 7427483136 7669263186 8035462656 8046440064 8390305024 8802942976 9439093152 9451988088 9523511296 9889800192 9903310848 10225684248 10239653762 10633486599 10713950208 10728586752 11503894779 12069660096 12585457536 12602650784 13204414464 13634245664 14158639728 14177982132 14285266944 14304782336 14854966272 15338526372 15359480643 16070925312 16092880128 16780610048 18878186304 18903976176 19779600384 19806621696 20451368496 20479307524 21266973198 21427900416 21457173504 23007789558 24023803057 24139320192 25170915072 25205301568 26408828928 27268491328 28317279456 28355964264 28570533888 28609564672 29709932544 30677052744 30718961286 32141850624 32185760256 33561220096 37756372608 37807952352 39613243392 40902736992 40958615048 42533946396 42855800832 42914347008 46015579116 46078441929 48047606114 48278640384 50341830144 50410603136 54536982656 56634558912 56711928528 57219129344 59419865088 61354105488 61437922572 64283701248 64371520512 67122440192 72071409171 75512745216 75615904704 79226486784 81805473984 81917230096 85067892792 85711601664 85828694016 92031158232 92156883858 96095212228 96557280768 100683660288 100821206272 109073965312 113269117824 113423857056 114438258688 118839730176 122708210976 122875845144 128567402496 128743041024 134244880384 138235325787 144142818342 151025490432 151231809408 163610947968 163834460192 170135785584 171657388032 184062316464 184313767716 192190424456 193114561536 201367320576 201642412544 216214227513 218147930624 226538235648 226847714112 237679460352 245416421952 245751690288 257134804992 257486082048 268489760768 276470651574 288285636684 302050980864 302463618816 312309439741 327221895936 327668920384 340271571168 343314776064 368124632928 368627535432 384380848912 386229123072 402734641152 403284825088 432428455026 436295861248 453076471296 453695428224 490832843904 491503380576 514972164096 536979521536 552941303148 576571273368 604101961728 604927237632 624618879482 648642682539 654443791872 655337840768 680543142336 736249265856 737255070864 768761697824 772458246144 805469282304 806569650176 864856910052 872591722496 906152942592 907390856448 936928319223 981665687808 983006761152 1029944328192 1105882606296 1153142546736 1208203923456 1209854475264 1249237758964 1297285365078 1308887583744 1310675681536 1361086284672 1472498531712 1474510141728 1537523395648 1544916492288 1610938564608 1613139300352 1729713820104 1745183444992 1812305885184 1814781712896 1873856638446 1963331375616 1966013522304 2211765212592 2306285093472 2416407846912 2419708950528 2498475517928 2594570730156 2617775167488 2621351363072 2722172569344 2810784957669 2944997063424 2949020283456 3075046791296 3089832984576 3226278600704 3459427640208 3490366889984 3624611770368 3629563425792 3747713276892 3926662751232 3932027044608 4423530425184 4612570186944 4832815693824 4839417901056 4996951035856 5189141460312 5235550334976 5242702726144 5444345138688 5621569915338 5889994126848 5898040566912 6150093582592 6452557201408 6918855280416 6980733779968 7249223540736 7259126851584 7495426553784 7853325502464 7864054089216 8432354873007 8847060850368 9225140373888 9678835802112 9993902071712 10378282920624 10471100669952 10485405452288 10888690277376 11243139830676 11779988253696 11796081133824 12300187165184 13837710560832 14498447081472 14518253703168 14990853107568 15706651004928 15728108178432 16864709746014 17694121700736 18450280747776 19357671604224 19987804143424 20756565841248 20942201339904 20970810904576 21777380554752 22486279661352 23559976507392 23592162267648 24600374330368 27675421121664 29036507406336 29981706215136 31413302009856 31456216356864 33729419492028 35388243401472 36900561495552 39975608286848 41513131682496 41941621809152 43554761109504 44972559322704 47119953014784 47184324535296 49200748660736 55350842243328 58073014812672 59963412430272 62826604019712 62912432713728 67458838984056 70776486802944 73801122991104 79951216573696 83026263364992 83883243618304 87109522219008 89945118645408 94239906029568 94368649070592 98401497321472 110701684486656 119926824860544 125824865427456 134917677968112 141552973605888 147602245982208 159902433147392 166052526729984 174219044438016 179890237290816 188479812059136 188737298141184 196802994642944 221403368973312 239853649721088 251649730854912 269835355936224 283105947211776 295204491964416 319804866294784 332105053459968 359780474581632 377474596282368 393605989285888 442806737946624 479707299442176 539670711872448 566211894423552 590408983928832 639609732589568 664210106919936 719560949163264 754949192564736 885613475893248 959414598884352 1079341423744896 1132423788847104 1180817967857664 1279219465179136 1328420213839872 1439121898326528 1771226951786496 1918829197768704 2158682847489792 2264847577694208 2558438930358272 2656840427679744 2878243796653056 3542453903572992 3837658395537408 4317365694979584 5116877860716544 5313680855359488 5756487593306112 7675316791074816 8634731389959168 10627361710718976 11512975186612224 15350633582149632 17269462779918336 23025950373224448 34538925559836672 46051900746448896 69077851119673344 138155702239346688
- Sum of all divisors σ(n): 448663990945206400
- Sum of proper divisors (its aliquot sum) s(n): 310508288705859712
- 138155702239346688 is an abundant number, because the sum of its proper divisors (310508288705859712) is greater than itself. Its abundance is 172352586466513024
Bases of 138155702239346688
- Binary: 1111010101101001111100001000100111010101111000000000000002
- Hexadecimal: 0x1EAD3E113ABC000
- Base-36: 11SC3XFAS5C0
Squares and roots of 138155702239346688
- 138155702239346688 squared (1381557022393466882) is 19086998061247023461316789056569344
- 138155702239346688 cubed (1381557022393466883) is 2636977620792631291530587051820725011484005128732672
-
The
square root of 138155702239346688 is 371693021.5101524987 -
The
cube root of 138155702239346688 is 516959.2035312649
Scales and comparisons
How big is 138155702239346688?- 138,155,702,239,346,688 seconds is equal to 4,392,923,987 years, 29 weeks, 2 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,155,702,239,346,688 would take you about thirteen billion, one hundred seventy-eight million, seven hundred seventy-one thousand, nine hundred sixty-two 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 138155702239346688 cubic inches would be around 43079.9 feet tall.
Recreational maths with 138155702239346688
- 138155702239346688 backwards is 886643932207551831
- The number of decimal digits it has is: 18
- The sum of 138155702239346688's digits is 81
- 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 138155702239346688 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 138155702239346688 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138155702239346688/
Chicago style:
Numbermatics. 2024. "Number 138155702239346688 - Facts about the integer". https://numbermatics.com/n/138155702239346688/
The information we have on file for 138155702239346688 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 138155702239346688, math, Factors of 138155702239346688, curriculum, school, college, exams, university, Prime factorization of 138155702239346688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred fifty-five trillion, seven hundred two billion, two hundred thirty-nine million, three hundred forty-six thousand, six hundred eighty-eight.