138337523344267425087488
138,337,523,344,267,425,087,488 is an even composite number composed of three prime numbers multiplied together.
What does the number 138337523344267425087488 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 504 divisors.
138337523344267425087488 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138337523344267425087488:
241 × 1032 × 1813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 103 × 103 × 181 × 181 × 181)See below for interesting mathematical facts about the number 138337523344267425087488 from the Numbermatics database.
Names of 138337523344267425087488
- Cardinal: 138337523344267425087488 can be written as One hundred thirty-eight sextillion, three hundred thirty-seven quintillion, five hundred twenty-three quadrillion, three hundred forty-four trillion, two hundred sixty-seven billion, four hundred twenty-five million, eighty-seven thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38337523344267425087488 × 1023
Factors of 138337523344267425087488
Divisors of 138337523344267425087488
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 8 16 32 64 103 128 181 206 256 362 412 512 724 824 1024 1448 1648 2048 2896 3296 4096 5792 6592 8192 10609 11584 13184 16384 18643 21218 23168 26368 32761 32768 37286 42436 46336 52736 65522 65536 74572 84872 92672 105472 131044 131072 149144 169744 185344 210944 262088 262144 298288 339488 370688 421888 524176 524288 596576 678976 741376 843776 1048352 1048576 1193152 1357952 1482752 1687552 1920229 2096704 2097152 2386304 2715904 2965504 3374383 3375104 3840458 4193408 4194304 4772608 5431808 5929741 5931008 6748766 6750208 7680916 8386816 8388608 9545216 10863616 11859482 11862016 13497532 13500416 15361832 16773632 16777216 19090432 21727232 23718964 23724032 26995064 27000832 30723664 33547264 33554432 38180864 43454464 47437928 47448064 53990128 54001664 61447328 67094528 67108864 76361728 86908928 94875856 94896128 107980256 108003328 122894656 134189056 134217728 152723456 173817856 189751712 189792256 215960512 216006656 245789312 268378112 268435456 305446912 347561449 347635712 379503424 379584512 431921024 432013312 491578624 536756224 536870912 610763323 610893824 695122898 695271424 759006848 759169024 863842048 864026624 983157248 1073512448 1073741824 1221526646 1221787648 1390245796 1390542848 1518013696 1518338048 1727684096 1728053248 1966314496 2147024896 2147483648 2443053292 2443575296 2780491592 2781085696 3036027392 3036676096 3455368192 3456106496 3932628992 4294049792 4294967296 4886106584 4887150592 5560983184 5562171392 6072054784 6073352192 6910736384 6912212992 7865257984 8588099584 8589934592 9772213168 9774301184 11121966368 11124342784 12144109568 12146704384 13821472768 13824425984 15730515968 17176199168 17179869184 19544426336 19548602368 22243932736 22248685568 24288219136 24293408768 27642945536 27648851968 31461031936 34352398336 34359738368 39088852672 39097204736 44487865472 44497371136 48576438272 48586817536 55285891072 55297703936 62908622269 62922063872 68704796672 68719476736 78177705344 78194409472 88975730944 88994742272 97152876544 97173635072 110571782144 110595407872 125817244538 125844127744 137409593344 137438953472 156355410688 156388818944 177951461888 177989484544 194305753088 194347270144 221143564288 221190815744 251634489076 251688255488 274819186688 274877906944 312710821376 312777637888 355902923776 355978969088 388611506176 388694540288 442287128576 442381631488 503268978152 503376510976 549638373376 549755813888 625421642752 625555275776 711805847552 711957938176 777223012352 777389080576 884574257152 884763262976 1006537956304 1006753021952 1099276746752 1099511627776 1250843285504 1251110551552 1423611695104 1423915876352 1554446024704 1554778161152 1769148514304 1769526525952 2013075912608 2013506043904 2198553493504 2199023255552 2501686571008 2502221103104 2847223390208 2847831752704 3108892049408 3109556322304 3538297028608 3539053051904 4026151825216 4027012087808 4397106987008 5003373142016 5004442206208 5694446780416 5695663505408 6217784098816 6219112644608 7076594057216 7078106103808 8052303650432 8054024175616 8794213974016 10006746284032 10008884412416 11388893560832 11391327010816 12435568197632 12438225289216 14153188114432 14156212207616 16104607300864 16108048351232 17588427948032 20013492568064 20017768824832 22777787121664 22782654021632 24871136395264 24876450578432 28306376228864 28312424415232 32209214601728 32216096702464 35176855896064 40026985136128 40035537649664 45555574243328 45565308043264 49742272790528 49752901156864 56612752457728 56624848830464 64418429203456 64432193404928 70353711792128 80053970272256 80071075299328 91111148486656 91130616086528 99484545581056 99505802313728 113225504915456 113249697660928 128836858406912 128864386809856 140707423584256 160107940544512 160142150598656 182222296973312 182261232173056 198969091162112 199011604627456 226451009830912 226499395321856 257673716813824 257728773619712 281414847168512 320215881089024 320284301197312 364444593946624 364522464346112 397938182324224 398023209254912 452902019661824 515347433627648 515457547239424 562829694337024 640431762178048 640568602394624 728889187893248 729044928692224 795876364648448 905804039323648 1030694867255296 1030915094478848 1125659388674048 1280863524356096 1281137204789248 1457778375786496 1458089857384448 1591752729296896 1811608078647296 2061389734510592 2061830188957696 2251318777348096 2561727048712192 2562274409578496 2915556751572992 2916179714768896 3183505458593792 3623216157294592 4122779469021184 4123660377915392 4502637554696192 5123454097424384 5124548819156992 5831113503145984 5832359429537792 6367010917187584 7246432314589184 8245558938042368 8247320755830784 9005275109392384 10246908194848768 10249097638313984 11662227006291968 11664718859075584 12734021834375168 14492864629178368 16491117876084736 16494641511661568 18010550218784768 20493816389697536 20498195276627968 23324454012583936 23329437718151168 25468043668750336 28985729258356736 32982235752169472 32989283023323136 36021100437569536 40987632779395072 40996390553255936 46648908025167872 50936087337500672 57971458516713472 65964471504338944 65978566046646272 72042200875139072 81975265558790144 93297816050335744 101872174675001344 115942917033426944 131928943008677888 131957132093292544 163950531117580288 186595632100671488 203744349350002688 231885834066853888 263857886017355776 263914264186585088 327901062235160576 373191264201342976 407488698700005376 463771668133707776 527715772034711552 527828528373170176 655802124470321152 746382528402685952 814977397400010752 927543336267415552 1055431544069423104 1055657056746340352 1311604248940642304 1492765056805371904 1629954794800021504 1855086672534831104 2110863088138846208 2111314113492680704 2623208497881284608 2985530113610743808 3259909589600043008 3710173345069662208 4221726176277692416 4222628226985361408 5246416995762569216 5971060227221487616 6519819179200086016 7420346690139324416 8443452352555384832 10492833991525138432 11942120454442975232 13039638358400172032 16886904705110769664 20985667983050276864 23884240908885950464 33773809410221539328 41971335966100553728 47768481817771900928 67547618820443078656 83942671932201107456 95536963635543801856 135095237640886157312 167885343864402214912 191073927271087603712 270190475281772314624 335770687728804429824 382147854542175207424 540380950563544629248 671541375457608859648 764295709084350414848 1080761901127089258496 1343082750915217719296 2161523802254178516992 4323047604508357033984 8646095209016714067968 17292190418033428135936 34584380836066856271872 69168761672133712543744 138337523344267425087488
- Sum of all divisors σ(n): 280939442824522706682276
- Sum of proper divisors (its aliquot sum) s(n): 142601919480255281594788
- 138337523344267425087488 is an abundant number, because the sum of its proper divisors (142601919480255281594788) is greater than itself. Its abundance is 4264396135987856507300
Bases of 138337523344267425087488
- Binary: 111010100101101001010110010110111101000000000000000000000000000000000000000002
- Hexadecimal: 0x1D4B4ACB7A0000000000
- Base-36: MIZ3NBYR8RJ3IM8
Squares and roots of 138337523344267425087488
- 138337523344267425087488 squared (1383375233442674250874882) is 19137270365025734790902356400817161964454150144
- 138337523344267425087488 cubed (1383375233442674250874883) is 2647402585867304773998856204244480511980458780096316978584423887798272
-
The
square root of 138337523344267425087488 is 371937526130.7568371985 -
The
cube root of 138337523344267425087488 is 51718588.7116640353
Scales and comparisons
How big is 138337523344267425087488?- 138,337,523,344,267,425,087,488 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,337,523,344,267,425,087,488 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 138337523344267425087488 cubic inches would be around 4309882.4 feet tall.
Recreational maths with 138337523344267425087488
- 138337523344267425087488 backwards is 884780524762443325733831
- The number of decimal digits it has is: 24
- The sum of 138337523344267425087488's digits is 107
- More coming soon!
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The information we have on file for 138337523344267425087488 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!
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