13829060131007823872000
13,829,060,131,007,823,872,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13829060131007823872000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
13829060131007823872000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13829060131007823872000:
219 × 53 × 414 × 53 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 41 × 41 × 41 × 41 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 13829060131007823872000 from the Numbermatics database.
Names of 13829060131007823872000
- Cardinal: 13829060131007823872000 can be written as Thirteen sextillion, eight hundred twenty-nine quintillion, sixty quadrillion, one hundred thirty-one trillion, seven billion, eight hundred twenty-three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3829060131007823872 × 1022
Factors of 13829060131007823872000
Divisors of 13829060131007823872000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 53 64 80 82 100 106 125 128 160 164 200 205 212 250 256 265 320 328 400 410 424 500 512 530 640 656 800 820 848 1000 1024 1025 1060 1187 1280 1312 1325 1600 1640 1681 1696 2000 2048 2050 2120 2173 2374 2560 2624 2650 3200 3280 3362 3392 4000 4096 4100 4240 4346 4748 5120 5125 5248 5300 5935 6400 6560 6625 6724 6784 8000 8192 8200 8405 8480 8692 9496 10240 10250 10496 10600 10865 11870 12800 13120 13250 13448 13568 16000 16384 16400 16810 16960 17384 18992 20480 20500 20992 21200 21730 23740 25600 26240 26500 26896 27136 29675 32000 32768 32800 33620 33920 34768 37984 40960 41000 41984 42025 42400 43460 47480 48667 51200 52480 53000 53792 54272 54325 59350 62911 64000 65536 65600 67240 67840 68921 69536 75968 81920 82000 83968 84050 84800 86920 89093 94960 97334 102400 104960 106000 107584 108544 108650 118700 125822 128000 131072 131200 134480 135680 137842 139072 148375 151936 163840 164000 167936 168100 169600 173840 178186 189920 194668 204800 209920 210125 212000 215168 217088 217300 237400 243335 251644 256000 262144 262400 268960 271360 271625 275684 278144 296750 303872 314555 327680 328000 335872 336200 339200 344605 347680 356372 379840 389336 409600 419840 420250 424000 430336 434176 434600 445465 474800 486670 503288 512000 524288 524800 537920 542720 543250 551368 556288 593500 607744 629110 655360 656000 671744 672400 678400 689210 695360 712744 759680 778672 819200 839680 840500 848000 860672 868352 869200 890930 949600 973340 1006576 1024000 1049600 1075840 1085440 1086500 1102736 1112576 1187000 1215488 1216675 1258220 1310720 1312000 1343488 1344800 1356800 1378420 1390720 1408969 1425488 1519360 1557344 1572775 1638400 1679360 1681000 1696000 1721344 1723025 1736704 1738400 1781860 1899200 1946680 1995347 2013152 2048000 2099200 2151680 2170880 2173000 2205472 2225152 2227325 2374000 2430976 2433350 2516440 2579351 2621440 2624000 2686976 2689600 2713600 2756840 2781440 2817938 2825761 2850976 3038720 3114688 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636404055729766400 652314157123010560 658777635814016000 674588299073552384 675247076709366400 728151860310016000 795505069662208000 815392696403763200 822668657406771200 843235373841940480 844058845886708000 864316258187988992 1019240870504704000 1028335821758464000 1043702651396816896 1054044217302425600 1080395322734986240 1165042976496025600 1272808111459532800 1304628314246021120 1317555271628032000 1349176598147104768 1350494153418732800 1456303720620032000 1591010139324416000 1630785392807526400 1645337314813542400 1686470747683880960 1688117691773416000 1728632516375977984 2038481741009408000 2056671643516928000 2087405302793633792 2108088434604851200 2160790645469972480 2330085952992051200 2609256628492042240 2635110543256064000 2698353196294209536 2700988306837465600 2912607441240064000 3182020278648832000 3261570785615052800 3372941495367761920 3376235383546832000 3457265032751955968 4076963482018816000 4113343287033856000 4216176869209702400 4321581290939944960 5218513256984084480 5270221086512128000 5401976613674931200 5825214882480128000 6364040557297664000 6523141571230105600 6745882990735523840 6752470767093664000 6914530065503911936 8153926964037632000 8226686574067712000 8432353738419404800 8643162581879889920 10437026513968168960 10540442173024256000 10803953227349862400 11650429764960256000 13046283142460211200 13491765981471047680 13504941534187328000 13829060131007823872 16307853928075264000 16864707476838809600 17286325163759779840 21080884346048512000 21607906454699724800 26092566284920422400 27009883068374656000 27658120262015647744 32615707856150528000 33729414953677619200 34572650327519559680 42161768692097024000 43215812909399449600 52185132569840844800 54019766136749312000 55316240524031295488 65231415712301056000 67458829907355238400 69145300655039119360 84323537384194048000 86431625818798899200 108039532273498624000 110632481048062590976 130462831424602112000 138290601310078238720 168647074768388096000 172863251637597798400 216079064546997248000 260925662849204224000 276581202620156477440 337294149536776192000 345726503275195596800 432158129093994496000 553162405240312954880 691453006550391193600 864316258187988992000 1382906013100782387200 1728632516375977984000 2765812026201564774400 3457265032751955968000 6914530065503911936000 13829060131007823872000
- Sum of all divisors σ(n): 36078179366809122543000
- Sum of proper divisors (its aliquot sum) s(n): 22249119235801298671000
- 13829060131007823872000 is an abundant number, because the sum of its proper divisors (22249119235801298671000) is greater than itself. Its abundance is 8420059104793474799000
Bases of 13829060131007823872000
- Binary: 101110110110101100110000110001011110100110100111100100100000000000000000002
- Hexadecimal: 0x2EDACC317A69E480000
- Base-36: 292IPRHDQZMP3I8
Squares and roots of 13829060131007823872000
- 13829060131007823872000 squared (138290601310078238720002) is 191242904107030130753690555676973072384000000
- 13829060131007823872000 cubed (138290601310078238720003) is 2644709620524682798024220722666824168501377032969779150848000000000
-
The
square root of 13829060131007823872000 is 117597024328.8826754827 -
The
cube root of 13829060131007823872000 is 24002927.9593348497
Scales and comparisons
How big is 13829060131007823872000?- 13,829,060,131,007,823,872,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,829,060,131,007,823,872,000 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 13829060131007823872000 cubic inches would be around 2000244 feet tall.
Recreational maths with 13829060131007823872000
- 13829060131007823872000 backwards is 00027832870013106092831
- The number of decimal digits it has is: 23
- The sum of 13829060131007823872000's digits is 71
- More coming soon!
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"Number 13829060131007823872000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13829060131007823872000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13829060131007823872000/
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Numbermatics. 2024. "Number 13829060131007823872000 - Facts about the integer". https://numbermatics.com/n/13829060131007823872000/
The information we have on file for 13829060131007823872000 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 13829060131007823872000, math, Factors of 13829060131007823872000, curriculum, school, college, exams, university, Prime factorization of 13829060131007823872000, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, eight hundred twenty-nine quintillion, sixty quadrillion, one hundred thirty-one trillion, seven billion, eight hundred twenty-three million, eight hundred seventy-two thousand.