137105753209712496
137,105,753,209,712,496 is an even composite number composed of five prime numbers multiplied together.
137105753209712496 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 137105753209712496:
24 × 32 × 113 × 311 × 2300142499
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 311 × 2300142499)See below for interesting mathematical facts about the number 137105753209712496 from the Numbermatics database.
Names of 137105753209712496
- Cardinal: 137105753209712496 can be written as One hundred thirty-seven quadrillion, one hundred five trillion, seven hundred fifty-three billion, two hundred nine million, seven hundred twelve thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.37105753209712496 × 1017
Factors of 137105753209712496
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2300142826
Divisors of 137105753209712496
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 311 363 396 484 528 622 726 792 933 968 1089 1244 1331 1452 1584 1866 1936 2178 2488 2662 2799 2904 3421 3732 3993 4356 4976 5324 5598 5808 6842 7464 7986 8712 10263 10648 11196 11979 13684 14928 15972 17424 20526 21296 22392 23958 27368 30789 31944 37631 41052 44784 47916 54736 61578 63888 75262 82104 95832 112893 123156 150524 164208 191664 225786 246312 301048 338679 413941 451572 492624 602096 677358 827882 903144 1241823 1354716 1655764 1806288 2483646 2709432 3311528 3725469 4967292 5418864 6623056 7450938 9934584 14901876 19869168 29803752 59607504 2300142499 4600284998 6900427497 9200569996 13800854994 18401139992 20701282491 25301567489 27601709988 36802279984 41402564982 50603134978 55203419976 75904702467 82805129964 101206269956 110406839952 151809404934 165610259928 202412539912 227714107401 278317242379 303618809868 331220519856 404825079824 455428214802 556634484758 607237619736 715344317189 834951727137 910856429604 1113268969516 1214475239472 1430688634378 1669903454274 1821712859208 2146032951567 2226537939032 2504855181411 2861377268756 3061489666169 3339806908548 3643425718416 4292065903134 4453075878064 5009710362822 5722754537512 6122979332338 6438098854701 6679613817096 7868787489079 8584131806268 9184468998507 10019420725644 11445509075024 12245958664676 12876197709402 13359227634192 15737574978158 17168263612536 18368937997014 20038841451288 23606362467237 24491917329352 25752395418804 27553406995521 31475149956316 34336527225072 36737875994028 40077682902576 47212724934474 48983834658704 51504790837608 55106813991042 62950299912632 70819087401711 73475751988056 86556662379869 94425449868948 103009581675216 110213627982084 125900599825264 141638174803422 146951503976112 173113324759738 188850899737896 220427255964168 259669987139607 283276349606844 346226649519476 377701799475792 440854511928336 519339974279214 566552699213688 692453299038952 779009961418821 952123286178559 1038679948558428 1133105398427376 1384906598077904 1558019922837642 1904246572357118 2077359897116856 2856369858535677 3116039845675284 3808493144714236 4154719794233712 5712739717071354 6232079691350568 7616986289428472 8569109575607031 11425479434142708 12464159382701136 15233972578856944 17138219151214062 22850958868285416 34276438302428124 45701917736570832 68552876604856248 137105753209712496
- Sum of all divisors σ(n): 423404490244320000
- Sum of proper divisors (its aliquot sum) s(n): 286298737034607504
- 137105753209712496 is an abundant number, because the sum of its proper divisors (286298737034607504) is greater than itself. Its abundance is 149192983824895008
Bases of 137105753209712496
- Binary: 1111001110001100011110100110001001011101000101111011100002
- Hexadecimal: 0x1E718F4C4BA2F70
- Base-36: 11HZXLHZF240
Squares and roots of 137105753209712496
- 137105753209712496 squared (1371057532097124962) is 18797987563202588399158306978550016
- 137105753209712496 cubed (1371057532097124963) is 2577312243679698865671836811347387647447990316199936
-
The
square root of 137105753209712496 is 370277940.4848640129 -
The
cube root of 137105753209712496 is 515646.2847494575
Scales and comparisons
How big is 137105753209712496?- 137,105,753,209,712,496 seconds is equal to 4,359,538,856 years, 6 weeks, 4 days, 22 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,105,753,209,712,496 would take you about thirteen billion, seventy-eight million, six hundred sixteen thousand, five hundred sixty-eight 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 137105753209712496 cubic inches would be around 42970.5 feet tall.
Recreational maths with 137105753209712496
- 137105753209712496 backwards is 694217902357501731
- 137105753209712496 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137105753209712496's digits is 72
- 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 137105753209712496 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 137105753209712496 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/137105753209712496/
Chicago style:
Numbermatics. 2024. "Number 137105753209712496 - Facts about the integer". https://numbermatics.com/n/137105753209712496/
The information we have on file for 137105753209712496 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 137105753209712496, math, Factors of 137105753209712496, curriculum, school, college, exams, university, Prime factorization of 137105753209712496, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred five trillion, seven hundred fifty-three billion, two hundred nine million, seven hundred twelve thousand, four hundred ninety-six.