13829766748988137434267648
13,829,766,748,988,137,434,267,648 is an even composite number composed of five prime numbers multiplied together.
13829766748988137434267648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13829766748988137434267648:
214 × 3 × 7 × 31 × 1296623616629102147
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 1296623616629102147)See below for interesting mathematical facts about the number 13829766748988137434267648 from the Numbermatics database.
Names of 13829766748988137434267648
- Cardinal: 13829766748988137434267648 can be written as Thirteen septillion, eight hundred twenty-nine sextillion, seven hundred sixty-six quintillion, seven hundred forty-eight quadrillion, nine hundred eighty-eight trillion, one hundred thirty-seven billion, four hundred thirty-four million, two hundred sixty-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.3829766748988137434267648 × 1025
Factors of 13829766748988137434267648
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 1296623616629102190
Divisors of 13829766748988137434267648
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1024 1302 1344 1488 1536 1736 1792 1984 2048 2604 2688 2976 3072 3472 3584 3968 4096 5208 5376 5952 6144 6944 7168 7936 8192 10416 10752 11904 12288 13888 14336 15872 16384 20832 21504 23808 24576 27776 28672 31744 41664 43008 47616 49152 55552 57344 63488 83328 86016 95232 111104 114688 126976 166656 172032 190464 222208 253952 333312 344064 380928 444416 507904 666624 761856 888832 1333248 1523712 1777664 2666496 3555328 5332992 10665984 1296623616629102147 2593247233258204294 3889870849887306441 5186494466516408588 7779741699774612882 9076365316403715029 10372988933032817176 15559483399549225764 18152730632807430058 20745977866065634352 27229095949211145087 31118966799098451528 36305461265614860116 40195332115502166557 41491955732131268704 54458191898422290174 62237933598196903056 72610922531229720232 80390664231004333114 82983911464262537408 108916383796844580348 120585996346506499671 124475867196393806112 145221845062459440464 160781328462008666228 165967822928525074816 217832767593689160696 241171992693012999342 248951734392787612224 281367324808515165899 290443690124918880928 321562656924017332456 331935645857050149632 435665535187378321392 482343985386025998684 497903468785575224448 562734649617030331798 580887380249837761856 643125313848034664912 663871291714100299264 844101974425545497697 871331070374756642784 964687970772051997368 995806937571150448896 1125469299234060663596 1161774760499675523712 1286250627696069329824 1327742583428200598528 1688203948851090995394 1742662140749513285568 1929375941544103994736 1991613875142300897792 2250938598468121327192 2323549520999351047424 2572501255392138659648 2655485166856401197056 3376407897702181990788 3485324281499026571136 3858751883088207989472 3983227750284601795584 4501877196936242654384 4647099041998702094848 5145002510784277319296 5310970333712802394112 6752815795404363981576 6970648562998053142272 7717503766176415978944 7966455500569203591168 9003754393872485308768 9294198083997404189696 10290005021568554638592 10621940667425604788224 13505631590808727963152 13941297125996106284544 15435007532352831957888 15932911001138407182336 18007508787744970617536 18588396167994808379392 20580010043137109277184 21243881334851209576448 27011263181617455926304 27882594251992212569088 30870015064705663915776 31865822002276814364672 36015017575489941235072 37176792335989616758784 41160020086274218554368 54022526363234911852608 55765188503984425138176 61740030129411327831552 63731644004553628729344 72030035150979882470144 74353584671979233517568 82320040172548437108736 108045052726469823705216 111530377007968850276352 123480060258822655663104 144060070301959764940288 148707169343958467035136 164640080345096874217472 216090105452939647410432 223060754015937700552704 246960120517645311326208 288120140603919529880576 329280160690193748434944 432180210905879294820864 446121508031875401105408 493920241035290622652416 576240281207839059761152 658560321380387496869888 864360421811758589641728 987840482070581245304832 1152480562415678119522304 1728720843623517179283456 1975680964141162490609664 2304961124831356239044608 3457441687247034358566912 4609922249662712478089216 6914883374494068717133824 13829766748988137434267648
- Sum of all divisors σ(n): 43506141231191849045520384
- Sum of proper divisors (its aliquot sum) s(n): 29676374482203711611252736
- 13829766748988137434267648 is an abundant number, because the sum of its proper divisors (29676374482203711611252736) is greater than itself. Its abundance is 15846607733215574176985088
Bases of 13829766748988137434267648
- Binary: 1011011100001001000100101000010111111100000000100000000101110001100001000000000000002
- Hexadecimal: 0xB7091285FC02017184000
- Base-36: 1QK2507AER0ZL416O
Squares and roots of 13829766748988137434267648
- 13829766748988137434267648 squared (138297667489881374342676482) is 191262448331417915966753923674138458371942099451904
- 13829766748988137434267648 cubed (138297667489881374342676483) is 2645115048263905162894427579963153232961731845761153458343502784008439201792
-
The
square root of 13829766748988137434267648 is 3718839435763.2782092251 -
The
cube root of 13829766748988137434267648 is 240033367.7505677397
Scales and comparisons
How big is 13829766748988137434267648?- 13,829,766,748,988,137,434,267,648 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,829,766,748,988,137,434,267,648 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 13829766748988137434267648 cubic inches would be around 20002780.6 feet tall.
Recreational maths with 13829766748988137434267648
- 13829766748988137434267648 backwards is 84676243473188984766792831
- The number of decimal digits it has is: 26
- The sum of 13829766748988137434267648's digits is 141
- More coming soon!
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The information we have on file for 13829766748988137434267648 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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