137807648625153484909996149
137,807,648,625,153,484,909,996,149 is an odd composite number composed of seven prime numbers multiplied together.
137807648625153484909996149 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 137807648625153484909996149:
3 × 23 × 43 × 179 × 2293 × 3559 × 31795869255739
See below for interesting mathematical facts about the number 137807648625153484909996149 from the Numbermatics database.
Names of 137807648625153484909996149
- Cardinal: 137807648625153484909996149 can be written as One hundred thirty-seven septillion, eight hundred seven sextillion, six hundred forty-eight quintillion, six hundred twenty-five quadrillion, one hundred fifty-three trillion, four hundred eighty-four billion, nine hundred nine million, nine hundred ninety-six thousand, one hundred forty-nine.
Scientific notation
- Scientific notation: 1.37807648625153484909996149 × 1026
Factors of 137807648625153484909996149
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 7
- Sum of prime factors: 31795869261839
Divisors of 137807648625153484909996149
- Number of divisors d(n): 128
-
Complete list of divisors:
1 3 23 43 69 129 179 537 989 2293 2967 3559 4117 6879 7697 10677 12351 23091 52739 81857 98599 153037 158217 177031 245571 295797 410447 459111 531093 637061 1231341 1911183 2267777 3519851 6803331 8160787 9440281 10559553 14652403 17649221 24482361 27393623 28320843 43957209 52947663 82180869 187698101 350913841 405932083 563094303 630053329 1052741523 1217796249 1460780873 1890159987 4382342619 8071018343 24213055029 33597960079 62813577539 100793880237 188440732617 1444712283397 4334136850191 31795869255739 95387607767217 731304992881997 1367222377996777 2193914978645991 4101667133990331 5691460596777281 17074381790331843 31446114693925871 72907928203409527 94338344081777613 113161498681175101 130903593725877463 218723784610228581 244732805661423083 339484496043525303 392710781177632389 734198416984269249 1676882348678419121 2602714469667027323 3135040912746609661 4865944443290529343 5030647046035257363 5628854530212730909 7808143409001081969 9405122738239828983 13050519148410305333 14597833329871588029 16886563590638192727 20255908263930343079 39151557445230915999 60767724791791029237 72105940993172022203 111916722195682174889 216317822979516066609 259479316475934506593 300161940413437022659 335750166587046524667 465885890070397890817 561172323381643129319 778437949427803519779 871004055349004752397 900485821240311067977 1397657670211193672451 1683516970144929387957 2613012166047014257191 5968024278946493651639 11157610608465183783499 12906963437777791974337 17904072836839480954917 20033093273027109305131 33472831825395551350497 38720890313333375923011 46446797649192276680147 60099279819081327915393 139340392947576830040441 256625043994699227020477 769875131984097681061431 1068276345931422363643381 1997212298915267897246321 3204829037794267090930143 5991636896745803691738963 45935882875051161636665383 137807648625153484909996149
- Sum of all divisors σ(n): 197428810384672933220352000
- Sum of proper divisors (its aliquot sum) s(n): 59621161759519448310355851
- 137807648625153484909996149 is a deficient number, because the sum of its proper divisors (59621161759519448310355851) is less than itself. Its deficiency is 78186486865634036599640298
Bases of 137807648625153484909996149
- Binary: 1110001111111011110011110011001111010011110101001110011111011101010100001101000011101012
- Hexadecimal: 0x71FDE799E9EA73EEA86875
- Base-36: HBCSR8F0LXBRM63CL
Squares and roots of 137807648625153484909996149
- 137807648625153484909996149 squared (1378076486251534849099961492) is 18990948019593767179717001660607886775959223194830201
- 137807648625153484909996149 cubed (1378076486251534849099961493) is 2617097891742732306690026685234909526953111889234813546509877831897243618895949
-
The
square root of 137807648625153484909996149 is 11739150251408.8933910703 -
The
cube root of 137807648625153484909996149 is 516524715.9060284667
Scales and comparisons
How big is 137807648625153484909996149?- 137,807,648,625,153,484,909,996,149 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,807,648,625,153,484,909,996,149 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 137807648625153484909996149 cubic inches would be around 43043726.3 feet tall.
Recreational maths with 137807648625153484909996149
- 137807648625153484909996149 backwards is 941699909484351526846708731
- The number of decimal digits it has is: 27
- The sum of 137807648625153484909996149's digits is 138
- 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 137807648625153484909996149 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 137807648625153484909996149 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/137807648625153484909996149/
Chicago style:
Numbermatics. 2024. "Number 137807648625153484909996149 - Facts about the integer". https://numbermatics.com/n/137807648625153484909996149/
The information we have on file for 137807648625153484909996149 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 137807648625153484909996149, math, Factors of 137807648625153484909996149, curriculum, school, college, exams, university, Prime factorization of 137807648625153484909996149, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven septillion, eight hundred seven sextillion, six hundred forty-eight quintillion, six hundred twenty-five quadrillion, one hundred fifty-three trillion, four hundred eighty-four billion, nine hundred nine million, nine hundred ninety-six thousand, one hundred forty-nine.