131461390126721090268
131,461,390,126,721,090,268 is an even composite number composed of five prime numbers multiplied together.
What does the number 131461390126721090268 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1944 divisors.
131461390126721090268 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 131461390126721090268:
22 × 317 × 72 × 712 × 1013
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 71 × 71 × 101 × 101 × 101)See below for interesting mathematical facts about the number 131461390126721090268 from the Numbermatics database.
Names of 131461390126721090268
- Cardinal: 131461390126721090268 can be written as One hundred thirty-one quintillion, four hundred sixty-one quadrillion, three hundred ninety trillion, one hundred twenty-six billion, seven hundred twenty-one million, ninety thousand, two hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31461390126721090268 × 1020
Factors of 131461390126721090268
Divisors of 131461390126721090268
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 81 84 98 101 108 126 142 147 162 189 196 202 213 243 252 284 294 303 324 378 404 426 441 486 497 567 588 606 639 707 729 756 852 882 909 972 994 1134 1212 1278 1323 1414 1458 1491 1701 1764 1818 1917 1988 2121 2187 2268 2556 2646 2727 2828 2916 2982 3402 3479 3636 3834 3969 4242 4374 4473 4949 5041 5103 5292 5454 5751 5964 6363 6561 6804 6958 7171 7668 7938 8181 8484 8748 8946 9898 10082 10201 10206 10437 10908 11502 11907 12726 13122 13419 13916 14342 14847 15123 15309 15876 16362 17253 17892 19089 19683 19796 20164 20402 20412 20874 21513 23004 23814 24543 25452 26244 26838 28684 29694 30246 30603 30618 31311 32724 34506 35287 35721 38178 39366 40257 40804 41748 43026 44541 45369 45927 47628 49086 50197 51759 53676 57267 59049 59388 60492 61206 61236 62622 64539 69012 70574 71407 71442 73629 76356 78732 80514 86052 89082 90738 91809 91854 93933 98172 100394 103518 105861 107163 114534 118098 120771 122412 125244 129078 133623 136107 137781 141148 142814 142884 147258 150591 155277 161028 171801 177147 178164 181476 183618 183708 187866 193617 200788 207036 211722 214221 214326 220887 229068 236196 241542 247009 258156 267246 272214 275427 275562 281799 285628 294516 301182 310554 317583 321489 343602 351379 354294 362313 367236 375732 387234 400869 408321 413343 423444 428442 428652 441774 451773 465831 483084 494018 499849 509141 515403 531441 534492 544428 550854 551124 563598 580851 602364 621108 635166 642663 642978 662661 687204 702758 708588 724271 724626 741027 774468 801738 816642 826281 826686 845397 856884 883548 903546 931662 952749 964467 988036 999698 1018282 1030301 1030806 1054137 1062882 1086939 1101708 1127196 1161702 1202607 1224963 1240029 1270332 1285326 1285956 1325322 1355319 1397493 1405516 1448542 1449252 1482054 1499547 1527423 1546209 1594323 1603476 1633284 1652562 1653372 1690794 1742553 1807092 1863324 1905498 1927989 1928934 1987983 1999396 2036564 2060602 2061612 2108274 2125764 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965867957759124 983823070330116 1018464727736106 1049642219401497 1073925678256389 1088517857157108 1113155092607166 1147793582051802 1226742346954836 1241830231404588 1269937500016626 1309454649946422 1339092512393769 1399522959201996 1431199404780642 1431900904341852 1448801936638686 1475734605495174 1527697091604159 1632776785735662 1669732638910749 1721690373077703 1785456683191692 1840113520432254 1841015448439524 1862745347106882 1904906250024939 2036929455472212 2099284438802994 2146799107170963 2147851356512778 2173202904958029 2213601908242761 2226310185214332 2295587164103604 2449165178603493 2539875000033252 2618909299892844 2678185024787538 2760170280648381 2862398809561284 2897603873277372 2951469210990348 3055394183208318 3148926658204491 3221777034769167 3265553571471324 3339465277821498 3443380746155406 3680227040864508 3725490694213764 3809812500049878 4017277537181307 4198568877605988 4293598214341926 4295702713025556 4346405809916058 4427203816485522 4583091274812477 4898330357206986 5009197916732247 5165071119233109 5356370049575076 5520340561296762 5714718750074817 6110788366416636 6297853316408982 6440397321512889 6443554069538334 6519608714874087 6640805724728283 6678930555642996 6886761492310812 7347495535810479 7619625000099756 8034555074362614 8280510841945143 8587196428683852 8692811619832116 8854407632971044 9166182549624954 9446779974613473 9796660714413972 10018395833464494 10330142238466218 11040681122593524 11429437500149634 12051832611543921 12595706632817964 12880794643025778 12887108139076668 13039217429748174 13281611449456566 14694991071620958 15027593750196741 15495213357699327 16069110148725228 16561021683890286 17144156250224451 18332365099249908 18893559949226946 19321191964538667 20036791666928988 20660284476932436 22042486607431437 22858875000299268 24103665223087842 24841532525835429 25761589286051556 26078434859496348 26563222898913132 29389982143241916 30055187500393482 30990426715398654 33122043367780572 34288312500448902 36155497834631763 37787119898453892 38642383929077334 44084973214862874 45082781250590223 46485640073097981 48207330446175684 49683065051670858 51432468750673353 57963575893616001 60110375000786964 61980853430797308 66127459822294311 68576625000897804 72310995669263526 74524597577506287 77284767858154668 88169946429725748 90165562501180446 92971280146195962 99366130103341716 102864937501346706 108466493503895289 115927151787232002 132254919644588622 135248343751770669 144621991338527052 149049195155012574 154297406252020059 173890727680848003 180331125002360892 185942560292391924 205729875002693412 216932987007790578 223573792732518861 231854303574464004 264509839289177244 270496687503541338 298098390310025148 308594812504040118 325399480511685867 347781455361696006 405745031255312007 433865974015581156 447147585465037722 462892218756060177 521672183042544009 540993375007082676 617189625008080236 650798961023371734 670721378197556583 695562910723392012 811490062510624014 894295170930075444 925784437512120354 1043344366085088018 1217235093765936021 1301597922046743468 1341442756395113166 1565016549127632027 1622980125021248028 1851568875024240708 2086688732170176036 2434470187531872042 2682885512790226332 3130033098255264054 3651705281297808063 4695049647382896081 4868940375063744084 6260066196510528108 7303410562595616126 9390099294765792162 10955115843893424189 14606821125191232252 18780198589531584324 21910231687786848378 32865347531680272567 43820463375573696756 65730695063360545134 131461390126721090268
- Sum of all divisors σ(n): 411231872766610061712
- Sum of proper divisors (its aliquot sum) s(n): 279770482639888971444
- 131461390126721090268 is an abundant number, because the sum of its proper divisors (279770482639888971444) is greater than itself. Its abundance is 148309092513167881176
Bases of 131461390126721090268
- Binary: 11100100000011001001010110111001110110101100100000101000010110111002
- Hexadecimal: 0x72064ADCED64142DC
- Base-36: RQS5HJ3SDCXR0
Squares and roots of 131461390126721090268
- 131461390126721090268 squared (1314613901267210902682) is 17282097094049961353951739758710604311824
- 131461390126721090268 cubed (1314613901267210902683) is 2271928508288774834912223340034390563051587503647479123728832
-
The
square root of 131461390126721090268 is 11465661347.1147441817 -
The
cube root of 131461390126721090268 is 5084708.6527634271
Scales and comparisons
How big is 131461390126721090268?- 131,461,390,126,721,090,268 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,461,390,126,721,090,268 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 131461390126721090268 cubic inches would be around 423725.7 feet tall.
Recreational maths with 131461390126721090268
- 131461390126721090268 backwards is 862090127621093164131
- The number of decimal digits it has is: 21
- The sum of 131461390126721090268's digits is 72
- More coming soon!
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"Number 131461390126721090268 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 131461390126721090268 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/131461390126721090268/
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Numbermatics. 2024. "Number 131461390126721090268 - Facts about the integer". https://numbermatics.com/n/131461390126721090268/
The information we have on file for 131461390126721090268 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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