138830314414464
138,830,314,414,464 is an even composite number composed of four prime numbers multiplied together.
138830314414464 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138830314414464:
27 × 34 × 673 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 67 × 67 × 67 × 211 × 211)See below for interesting mathematical facts about the number 138830314414464 from the Numbermatics database.
Names of 138830314414464
- Cardinal: 138830314414464 can be written as One hundred thirty-eight trillion, eight hundred thirty billion, three hundred fourteen million, four hundred fourteen thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.38830314414464 × 1014
Factors of 138830314414464
Divisors of 138830314414464
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 211 216 268 288 324 384 402 422 432 536 576 603 633 648 804 844 864 1072 1152 1206 1266 1296 1608 1688 1728 1809 1899 2144 2412 2532 2592 3216 3376 3456 3618 3798 4288 4489 4824 5064 5184 5427 5697 6432 6752 7236 7596 8576 8978 9648 10128 10368 10854 11394 12864 13467 13504 14137 14472 15192 17091 17956 19296 20256 21708 22788 25728 26934 27008 28274 28944 30384 34182 35912 38592 40401 40512 42411 43416 44521 45576 53868 56548 57888 60768 68364 71824 77184 80802 81024 84822 86832 89042 91152 107736 113096 115776 121203 121536 127233 133563 136728 143648 161604 169644 173664 178084 182304 215472 226192 231552 242406 243072 254466 267126 273456 287296 300763 323208 339288 347328 356168 363609 364608 381699 400689 430944 452384 484812 508932 534252 546912 574592 601526 646416 678576 694656 712336 727218 729216 763398 801378 861888 902289 904768 947179 969624 1017864 1068504 1093824 1145097 1202067 1203052 1292832 1357152 1424672 1454436 1526796 1602756 1723776 1804578 1809536 1894358 1939248 2035728 2137008 2187648 2290194 2404134 2406104 2585664 2706867 2714304 2841537 2849344 2908872 2982907 3053592 3205512 3606201 3609156 3788716 3878496 4071456 4274016 4580388 4808268 4812208 5171328 5413734 5428608 5683074 5698688 5817744 5965814 6107184 6411024 7212402 7218312 7577432 7756992 8120601 8142912 8524611 8548032 8948721 9160776 9616536 9624416 10827468 11366148 11635488 11931628 12214368 12822048 14424804 14436624 15154864 15513984 16241202 16285824 17049222 17096064 17897442 18321552 19233072 19248832 21654936 22732296 23270976 23863256 24361803 24428736 25573833 25644096 26846163 28849608 28873248 30309728 32482404 34098444 35794884 36643104 38466144 38497664 43309872 45464592 46541952 47726512 48723606 48857472 51147666 51288192 53692326 57699216 57746496 60619456 63460993 64964808 68196888 71589768 73286208 76721499 76932288 80538489 86619744 90929184 95453024 97447212 102295332 107384652 115398432 115492992 121238912 126921986 129929616 136393776 143179536 146572416 153442998 153864576 161076978 173239488 181858368 190382979 190906048 194894424 199854769 204590664 214769304 230796864 241615467 253843972 259859232 272787552 286359072 306885996 322153956 346478976 363716736 380765958 381812096 389788848 399709538 409181328 429538608 461593728 483230934 507687944 519718464 545575104 571148937 572718144 599564307 613771992 644307912 761531916 779577696 799419076 818362656 859077216 966461868 1015375888 1039436928 1091150208 1142297874 1145436288 1199128614 1227543984 1288615824 1523063832 1559155392 1598838152 1636725312 1713446811 1718154432 1798692921 1932923736 2030751776 2284595748 2398257228 2455087968 2577231648 3046127664 3118310784 3197676304 3273450624 3426893622 3436308864 3597385842 3865847472 4061503552 4569191496 4796514456 4910175936 5140340433 5154463296 5396078763 6092255328 6395352608 6853787244 7194771684 7731694944 8123007104 9138382992 9593028912 9820351872 10280680866 10308926592 10792157526 12184510656 12790705216 13390269523 13707574488 14389543368 15463389888 16188236289 18276765984 19186057824 20561361732 21584315052 24369021312 25581410432 26780539046 27415148976 28779086736 30926779776 32376472578 36553531968 38372115648 40170808569 41122723464 43168630104 53561078092 54830297952 57558173472 64752945156 73107063936 76744231296 80341617138 82245446928 86337260208 107122156184 109660595904 115116346944 120512425707 129505890312 160683234276 164490893856 172674520416 214244312368 219321191808 230232693888 241024851414 259011780624 321366468552 328981787712 345349040832 361537277121 428488624736 482049702828 518023561248 642732937104 657963575424 690698081664 723074554242 856977249472 964099405656 1036047122496 1084611831363 1285465874208 1446149108484 1713954498944 1928198811312 2072094244992 2169223662726 2570931748416 2892298216968 3856397622624 4338447325452 5141863496832 5784596433936 7712795245248 8676894650904 11569192867872 15425590490496 17353789301808 23138385735744 34707578603616 46276771471488 69415157207232 138830314414464
- Sum of all divisors σ(n): 421413873823800
- Sum of proper divisors (its aliquot sum) s(n): 282583559409336
- 138830314414464 is an abundant number, because the sum of its proper divisors (282583559409336) is greater than itself. Its abundance is 143753244994872
Bases of 138830314414464
- Binary: 111111001000011111100111001001100100001100000002
- Hexadecimal: 0x7E43F3932180
- Base-36: 1D7LRKPK00
Squares and roots of 138830314414464
- 138830314414464 squared (1388303144144642) is 19273856200418930695172407296
- 138830314414464 cubed (1388303144144643) is 2675795516283326616205455280683507561529344
-
The
square root of 138830314414464 is 11782627.6532216701 -
The
cube root of 138830314414464 is 51779.9272284477
Scales and comparisons
How big is 138830314414464?- 138,830,314,414,464 seconds is equal to 4,414,374 years, 29 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,830,314,414,464 would take you about eleven million, thirty-five thousand, nine hundred thirty-six 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 138830314414464 cubic inches would be around 4315 feet tall.
Recreational maths with 138830314414464
- 138830314414464 backwards is 464414413038831
- 138830314414464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138830314414464's digits is 54
- 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 138830314414464 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138830314414464 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138830314414464/
Chicago style:
Numbermatics. 2024. "Number 138830314414464 - Facts about the integer". https://numbermatics.com/n/138830314414464/
The information we have on file for 138830314414464 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 138830314414464, math, Factors of 138830314414464, curriculum, school, college, exams, university, Prime factorization of 138830314414464, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred thirty billion, three hundred fourteen million, four hundred fourteen thousand, four hundred sixty-four.