138142209337314
138,142,209,337,314 is an even composite number composed of six prime numbers multiplied together.
138142209337314 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138142209337314:
2 × 3 × 73 × 132 × 733 × 1021
(2 × 3 × 7 × 7 × 7 × 13 × 13 × 73 × 73 × 73 × 1021)See below for interesting mathematical facts about the number 138142209337314 from the Numbermatics database.
Names of 138142209337314
- Cardinal: 138142209337314 can be written as One hundred thirty-eight trillion, one hundred forty-two billion, two hundred nine million, three hundred thirty-seven thousand, three hundred fourteen.
Scientific notation
- Scientific notation: 1.38142209337314 × 1014
Factors of 138142209337314
Divisors of 138142209337314
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 6 7 13 14 21 26 39 42 49 73 78 91 98 146 147 169 182 219 273 294 338 343 438 507 511 546 637 686 949 1014 1021 1022 1029 1183 1274 1533 1898 1911 2042 2058 2366 2847 3063 3066 3549 3577 3822 4459 5329 5694 6126 6643 7098 7147 7154 8281 8918 10658 10731 12337 13273 13286 13377 14294 15987 16562 19929 21441 21462 24674 24843 25039 26546 26754 31974 37011 37303 39819 39858 42882 46501 49686 50029 50078 57967 69277 74022 74533 74606 75117 79638 86359 92911 93002 100058 111909 115934 138554 139503 149066 150087 150234 172549 172718 173901 185822 207831 223599 223818 259077 261121 278733 279006 300174 325507 345098 347802 350203 389017 415662 447198 484939 517647 518154 521731 522242 557466 604513 650377 651014 700406 778034 783363 900601 968929 969878 976521 1035294 1043462 1050609 1167051 1207843 1209026 1300754 1454817 1565193 1566726 1801202 1813539 1827847 1937858 1951131 1953042 2101218 2334102 2415686 2701803 2723119 2906787 2909634 3130386 3394573 3623529 3627078 3652117 3655694 3902262 4231591 4552639 5057221 5403606 5440909 5446238 5483541 5813574 6304207 6782503 6789146 7247058 7304234 8169357 8454901 8463182 9105278 10114442 10183719 10881818 10956351 10967082 12596077 12608414 12694773 13565006 13657917 15171663 16322727 16338714 16909802 18912621 19061833 20347509 20367438 21912702 23762011 25192154 25364703 25389546 25564819 27315834 30343326 32645454 35400547 37788231 37825242 38086363 38123666 40695018 44129449 47477521 47524022 50729406 51129638 57185499 59184307 65743873 70731817 70801094 71286033 75576462 76172726 76694457 88172539 88258898 94955042 106201641 114259089 114370998 118368614 131487746 132388347 133432831 141463634 142432563 142572066 153388914 176345078 177552921 197231619 212195451 212403282 228518178 247803829 264517617 264776694 266604541 266865662 284865126 308906143 332342647 355105842 394463238 397186357 400298493 424390902 460207111 495122719 495607658 529035234 533209082 617207773 617812286 664685294 743411487 794372714 799813623 800596986 919513621 920414222 926718429 990245438 997027941 1191559071 1234415546 1380621333 1485368157 1486822974 1599627246 1734626803 1839027242 1851623319 1853436858 1866231787 1994055882 2383118142 2758540863 2761242666 2780304499 2970736314 3221449777 3465859033 3469253606 3703246638 3732463574 4320454411 5163422641 5203880409 5517081726 5560608998 5598695361 6436595347 6442899554 6931718066 8340913497 8640908822 9664349331 10326845282 10397577099 10407760818 11197390722 12873190694 12961363233 15490267923 16681826994 19309786041 19328698662 19462131493 20795154198 22550148439 24261013231 25922726466 30980535846 36143958487 38619572082 38924262986 45056167429 45100296878 48522026462 58386394479 67124494333 67650445317 72287916974 72783039693 90112334858 108431875461 116772788958 134248988666 135168502287 135300890634 136234920451 145566079386 201373482999 216863750922 253007709409 270337004574 272469840902 315393172003 402746965998 408704761353 469871460331 506015418818 630786344006 759023128227 817409522706 939742920662 946179516009 1409614380993 1518046256454 1771053965863 1892359032018 2819228761986 3289100222317 3542107931726 5313161897589 6578200444634 9867300666951 10626323795178 19734601333902 23023701556219 46047403112438 69071104668657 138142209337314
- Sum of all divisors σ(n): 354080615616000
- Sum of proper divisors (its aliquot sum) s(n): 215938406278686
- 138142209337314 is an abundant number, because the sum of its proper divisors (215938406278686) is greater than itself. Its abundance is 77796196941372
Bases of 138142209337314
- Binary: 111110110100011101111010101000011100111111000102
- Hexadecimal: 0x7DA3BD50E7E2
- Base-36: 1CYTNKPOF6
Squares and roots of 138142209337314
- 138142209337314 squared (1381422093373142) is 19083270000594283287032734596
- 138142209337314 cubed (1381422093373143) is 2636205079262579743022943085084322401515144
-
The
square root of 138142209337314 is 11753391.3972654719 -
The
cube root of 138142209337314 is 51694.2373469563
Scales and comparisons
How big is 138142209337314?- 138,142,209,337,314 seconds is equal to 4,392,494 years, 49 weeks, 4 days, 15 hours, 1 minute, 54 seconds.
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To count from 1 to 138,142,209,337,314 would take you about ten million, nine hundred eighty-one thousand, two hundred thirty-seven 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 138142209337314 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138142209337314
- 138142209337314 backwards is 413733902241831
- The number of decimal digits it has is: 15
- The sum of 138142209337314's digits is 51
- More coming soon!
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