13131681263327677992
13,131,681,263,327,677,992 is an even composite number composed of seven prime numbers multiplied together.
13131681263327677992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 13131681263327677992:
23 × 3 × 17 × 19 × 31 × 47 × 1162644702253
(2 × 2 × 2 × 3 × 17 × 19 × 31 × 47 × 1162644702253)See below for interesting mathematical facts about the number 13131681263327677992 from the Numbermatics database.
Names of 13131681263327677992
- Cardinal: 13131681263327677992 can be written as Thirteen quintillion, one hundred thirty-one quadrillion, six hundred eighty-one trillion, two hundred sixty-three billion, three hundred twenty-seven million, six hundred seventy-seven thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.3131681263327677992 × 1019
Factors of 13131681263327677992
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 1162644702372
Divisors of 13131681263327677992
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 8 12 17 19 24 31 34 38 47 51 57 62 68 76 93 94 102 114 124 136 141 152 186 188 204 228 248 282 323 372 376 408 456 527 564 589 646 744 799 893 969 1054 1128 1178 1292 1457 1581 1598 1767 1786 1938 2108 2356 2397 2584 2679 2914 3162 3196 3534 3572 3876 4216 4371 4712 4794 5358 5828 6324 6392 7068 7144 7752 8742 9588 10013 10716 11656 12648 14136 15181 17484 19176 20026 21432 24769 27683 30039 30362 34968 40052 45543 49538 55366 60078 60724 74307 80104 83049 91086 99076 110732 120156 121448 148614 166098 182172 198152 221464 240312 297228 332196 364344 470611 594456 664392 941222 1411833 1882444 2823666 3764888 5647332 11294664 1162644702253 2325289404506 3487934106759 4650578809012 6975868213518 9301157618024 13951736427036 19764959938301 22090249342807 27903472854072 36041985769843 39529919876602 44180498685614 54644301005891 59294879814903 66270748028421 72083971539686 79059839753204 88360997371228 108125957309529 109288602011782 118589759629806 132541496056842 144167943079372 158119679506408 163932903017673 176721994742456 216251914619058 218577204023564 237179519259612 265082992113684 288335886158744 327865806035346 375534238827719 432503829238116 437154408047128 474359038519224 530165984227368 612713758087331 655731612070692 684797729627017 751068477655438 865007658476232 928953117100147 1038241719111929 1126602716483157 1225427516174662 1311463224141384 1369595459254034 1502136955310876 1693973331182621 1838141274261993 1857906234200294 2054393188881051 2076483438223858 2253205432966314 2450855032349324 2739190918508068 2786859351300441 3004273910621752 3114725157335787 3387946662365242 3676282548523986 3715812468400588 4108786377762102 4152966876447716 4506410865932628 4901710064698648 5081919993547863 5478381837016136 5573718702600882 6229450314671574 6775893324730484 7352565097047972 7431624936801176 8217572755524204 8305933752895432 9012821731865256 10163839987095726 11147437405201764 11641561403659289 12458900629343148 13551786649460968 14705130194095944 16435145511048408 17650109224902793 20327679974191452 22294874810403528 23283122807318578 24917801258686296 28797546630104557 32185493292469799 34924684210977867 35300218449805586 40655359948382904 46566245614637156 52950327674708379 57595093260209114 64370986584939598 69849368421955734 70600436899611172 86392639890313671 93132491229274312 96556479877409397 105900655349416758 115190186520418228 128741973169879196 139698736843911468 141200873799222344 172785279780627342 193112959754818794 211801310698833516 230380373040836456 257483946339758392 279397473687822936 345570559561254684 386225919509637588 423602621397667032 547153385971986583 691141119122509368 772451839019275176 1094306771943973166 1641460157915959749 2188613543887946332 3282920315831919498 4377227087775892664 6565840631663838996 13131681263327677992
- Sum of all divisors σ(n): 38573760873502310400
- Sum of proper divisors (its aliquot sum) s(n): 25442079610174632408
- 13131681263327677992 is an abundant number, because the sum of its proper divisors (25442079610174632408) is greater than itself. Its abundance is 12310398346846954416
Bases of 13131681263327677992
- Binary: 10110110001111010001101010001000110011000100110010001110001010002
- Hexadecimal: 0xB63D1A88CC4C8E28
- Base-36: 2RRNSIB7YHK4O
Squares and roots of 13131681263327677992
- 13131681263327677992 squared (131316812633276779922) is 172441052801631201064795100658441152064
- 13131681263327677992 cubed (131316812633276779923) is 2264440942103679236779159958540110959822158451390498175488
-
The
square root of 13131681263327677992 is 3623766171.1716000277 -
The
cube root of 13131681263327677992 is 2359247.1782073231
Scales and comparisons
How big is 13131681263327677992?- 13,131,681,263,327,677,992 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,131,681,263,327,677,992 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 13131681263327677992 cubic inches would be around 196603.9 feet tall.
Recreational maths with 13131681263327677992
- 13131681263327677992 backwards is 29977672336218613131
- The number of decimal digits it has is: 20
- The sum of 13131681263327677992's digits is 87
- 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 13131681263327677992 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13131681263327677992 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13131681263327677992/
Chicago style:
Numbermatics. 2024. "Number 13131681263327677992 - Facts about the integer". https://numbermatics.com/n/13131681263327677992/
The information we have on file for 13131681263327677992 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 13131681263327677992, math, Factors of 13131681263327677992, curriculum, school, college, exams, university, Prime factorization of 13131681263327677992, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, one hundred thirty-one quadrillion, six hundred eighty-one trillion, two hundred sixty-three billion, three hundred twenty-seven million, six hundred seventy-seven thousand, nine hundred ninety-two.