138743138410104787440
138,743,138,410,104,787,440 is an even composite number composed of seven prime numbers multiplied together.
138743138410104787440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138743138410104787440:
24 × 3 × 5 × 7 × 31 × 601 × 4432676798593
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 31 × 601 × 4432676798593)See below for interesting mathematical facts about the number 138743138410104787440 from the Numbermatics database.
Names of 138743138410104787440
- Cardinal: 138743138410104787440 can be written as One hundred thirty-eight quintillion, seven hundred forty-three quadrillion, one hundred thirty-eight trillion, four hundred ten billion, one hundred four million, seven hundred eighty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3874313841010478744 × 1020
Factors of 138743138410104787440
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 4432676799242
Divisors of 138743138410104787440
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 601 620 651 744 840 868 930 1085 1202 1240 1302 1488 1680 1736 1803 1860 2170 2404 2480 2604 3005 3255 3472 3606 3720 4207 4340 4808 5208 6010 6510 7212 7440 8414 8680 9015 9616 10416 12020 12621 13020 14424 16828 17360 18030 18631 21035 24040 25242 26040 28848 33656 36060 37262 42070 48080 50484 52080 55893 63105 67312 72120 74524 84140 93155 100968 111786 126210 130417 144240 149048 168280 186310 201936 223572 252420 260834 279465 298096 336560 372620 391251 447144 504840 521668 558930 652085 745240 782502 894288 1009680 1043336 1117860 1304170 1490480 1565004 1956255 2086672 2235720 2608340 3130008 3912510 4471440 5216680 6260016 7825020 10433360 15650040 31300080 4432676798593 8865353597186 13298030395779 17730707194372 22163383992965 26596060791558 31028737590151 35461414388744 44326767985930 53192121583116 62057475180302 66490151978895 70922828777488 88653535971860 93086212770453 106384243166232 124114950360604 132980303957790 137412980756383 155143687950755 177307071943720 186172425540906 212768486332464 248229900721208 265960607915580 274825961512766 310287375901510 354614143887440 372344851081812 412238942269149 465431063852265 496459801442416 531921215831160 549651923025532 620574751803020 687064903781915 744689702163624 824477884538298 930862127704530 961890865294681 1063842431662320 1099303846051064 1241149503606040 1374129807563830 1489379404327248 1648955769076596 1861724255409060 1923781730589362 2061194711345745 2198607692102128 2482299007212080 2664038755954393 2748259615127660 2885672595884043 3297911538153192 3723448510818120 3847563461178724 4122389422691490 4809454326473405 5328077511908786 5496519230255320 5771345191768086 6595823076306384 7446897021636240 7695126922357448 7992116267863179 8244778845382980 9618908652946810 10656155023817572 10993038460510640 11542690383536172 13320193779771965 14428362979420215 15390253844714896 15984232535726358 16489557690765960 18648271291680751 19237817305893620 21312310047635144 23085380767072344 26640387559543930 28856725958840430 31968465071452716 32979115381531920 37296542583361502 38475634611787240 39960581339315895 42624620095270288 46170761534144688 53280775119087860 55944813875042253 57713451917680860 63936930142905432 74593085166723004 76951269223574480 79921162678631790 82585201434586183 93241356458403755 106561550238175720 111889627750084506 115426903835361720 127873860285810864 149186170333446008 159842325357263580 165170402869172366 186482712916807510 213123100476351440 223779255500169012 230853807670723440 247755604303758549 279724069375211265 298372340666892016 319684650714527160 330340805738344732 372965425833615020 412926007172930915 447558511000338024 495511208607517098 559448138750422530 578096410042103281 639369301429054320 660681611476689464 745930851667230040 825852014345861830 895117022000676048 991022417215034196 1118896277500845060 1156192820084206562 1238778021518792745 1321363222953378928 1491861703334460080 1651704028691723660 1734289230126309843 1982044834430068392 2237792555001690120 2312385640168413124 2477556043037585490 2890482050210516405 3303408057383447320 3468578460252619686 3964089668860136784 4475585110003380240 4624771280336826248 4955112086075170980 5780964100421032810 6606816114766894640 6937156920505239372 8671446150631549215 9249542560673652496 9910224172150341960 11561928200842065620 13874313841010478744 17342892301263098430 19820448344300683920 23123856401684131240 27748627682020957488 34685784602526196860 46247712803368262480 69371569205052393720 138743138410104787440
- Sum of all divisors σ(n): 508247742967979384832
- Sum of proper divisors (its aliquot sum) s(n): 369504604557874597392
- 138743138410104787440 is an abundant number, because the sum of its proper divisors (369504604557874597392) is greater than itself. Its abundance is 230761466147769809952
Bases of 138743138410104787440
- Binary: 11110000101011100101010010101001010100101010010011010010001111100002
- Hexadecimal: 0x78572A54A952691F0
- Base-36: TA3SHV8B6SSMO
Squares and roots of 138743138410104787440
- 138743138410104787440 squared (1387431384101047874402) is 19249658455885494404683110121207581753600
- 138743138410104787440 cubed (1387431384101047874403) is 2670758027492165151730695893627776458701954747976550454784000
-
The
square root of 138743138410104787440 is 11778927727.5185277129 -
The
cube root of 138743138410104787440 is 5176908.6867123425
Scales and comparisons
How big is 138743138410104787440?- 138,743,138,410,104,787,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,743,138,410,104,787,440 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 138743138410104787440 cubic inches would be around 431409.1 feet tall.
Recreational maths with 138743138410104787440
- 138743138410104787440 backwards is 044787401014831347831
- The number of decimal digits it has is: 21
- The sum of 138743138410104787440's digits is 78
- More coming soon!
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The information we have on file for 138743138410104787440 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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