135016882010400
135,016,882,010,400 is an even composite number composed of seven prime numbers multiplied together.
135016882010400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135016882010400:
25 × 3 × 52 × 132 × 37 × 127 × 70841
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 37 × 127 × 70841)See below for interesting mathematical facts about the number 135016882010400 from the Numbermatics database.
Names of 135016882010400
- Cardinal: 135016882010400 can be written as One hundred thirty-five trillion, sixteen billion, eight hundred eighty-two million, ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.350168820104 × 1014
Factors of 135016882010400
Divisors of 135016882010400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 65 74 75 78 80 96 100 104 111 120 127 130 148 150 156 160 169 185 195 200 208 222 240 254 260 296 300 312 325 338 370 381 390 400 416 444 480 481 507 508 520 555 592 600 624 635 650 676 740 762 780 800 845 888 925 962 975 1014 1016 1040 1110 1184 1200 1248 1270 1300 1352 1443 1480 1524 1560 1651 1690 1776 1850 1905 1924 1950 2028 2032 2080 2220 2400 2405 2535 2540 2600 2704 2775 2886 2960 3048 3120 3175 3302 3380 3552 3700 3810 3848 3900 4056 4064 4225 4440 4699 4810 4953 5070 5080 5200 5408 5550 5772 5920 6096 6240 6253 6350 6604 6760 7215 7400 7620 7696 7800 8112 8255 8450 8880 9398 9525 9620 9906 10140 10160 10400 11100 11544 12025 12192 12506 12675 12700 13208 13520 14097 14430 14800 15240 15392 15600 16224 16510 16900 17760 18759 18796 19050 19240 19812 20280 20320 21463 22200 23088 23495 24050 24765 25012 25350 25400 26416 27040 28194 28860 29600 30480 31200 31265 33020 33800 36075 37518 37592 38100 38480 39624 40560 41275 42926 44400 46176 46990 48100 49530 50024 50700 50800 52832 56388 57720 60960 61087 62530 64389 66040 67600 70485 70841 72150 75036 75184 76200 76960 79248 81120 82550 85852 88800 93795 93980 96200 99060 100048 101400 101600 107315 112776 115440 117475 122174 123825 125060 128778 132080 135200 140970 141682 144300 150072 150368 152400 156325 158496 165100 171704 183261 187590 187960 192400 198120 200096 202800 212523 214630 225552 230880 234950 244348 247650 250120 257556 264160 281940 283364 288600 300144 304800 305435 312650 321945 330200 343408 352425 354205 366522 375180 375920 384800 396240 405600 425046 429260 451104 468975 469900 488696 495300 500240 515112 536575 563880 566728 577200 600288 610870 625300 643890 660400 686816 704850 708410 733044 750360 751840 792480 794131 850092 858520 916305 920933 937950 939800 977392 990600 1000480 1030224 1062615 1073150 1127760 1133456 1154400 1221740 1250600 1287780 1320800 1409700 1416820 1466088 1500720 1527175 1588262 1609725 1700184 1717040 1771025 1832610 1841866 1875900 1879600 1954784 1981200 2060448 2125230 2146300 2255520 2266912 2382393 2443480 2501200 2575560 2621117 2762799 2819400 2833640 2932176 3001440 3054350 3176524 3219450 3400368 3434080 3542050 3665220 3683732 3751800 3759200 3962400 3970655 4250460 4292600 4581525 4604665 4764786 4886960 5002400 5151120 5242234 5313075 5525598 5638800 5667280 5864352 6108700 6353048 6438900 6800736 7084100 7330440 7367464 7503600 7863351 7941310 8500920 8585200 8996807 9163050 9209330 9529572 9773920 10302240 10484468 10626150 11051196 11277600 11334560 11911965 11972129 12217400 12706096 12877800 13105585 13813995 14168200 14660880 14734928 15007200 15726702 15882620 17001840 17170400 17993614 18326100 18418660 19059144 19853275 20968936 21252300 22102392 23023325 23823930 23944258 24434800 25412192 25755600 26211170 26990421 27627990 28336400 29321760 29469856 31453404 31765240 34003680 34074521 35916387 35987228 36652200 36837320 38118288 39316755 39706550 41937872 42504600 44204784 44984035 46046650 47647860 47888516 48869600 51511200 52422340 53980842 55255980 56672800 59559825 59860645 62906808 63530480 65527925 68149042 69069975 71832774 71974456 73304400 73674640 76236576 78633510 79413100 83875744 85009200 88409568 89968070 92093300 95295720 95777032 102223563 104844680 107961684 110511960 116958491 119119650 119721290 125813616 127060960 131055850 134952105 136298084 138139950 143665548 143948912 146608800 147349280 157267020 158826200 170018400 170372605 179581935 179936140 184186600 190591440 191554064 196583775 204447126 209689360 215923368 221023920 224920175 233916982 238239300 239442580 251627232 262111700 269904210 272596168 276279900 287331096 287897824 299303225 314534040 317652400 332881859 340745210 350875473 359163870 359872280 368373200 381182880 383108128 393167550 408894252 419378720 431846736 442047840 442968773 449840350 467833964 476478600 478885160 511117815 524223400 539808420 545192336 552559800 574662192 584792455 598606450 629068080 635304800 665763718 674760525 681490420 701750946 718327740 719744560 736746400 786335100 817788504 851863025 863693472 885937546 897909675 899680700 935667928 952957200 957770320 998645577 1022235630 1048446800 1079616840 1090384672 1105119600 1149324384 1169584910 1197212900 1258136160 1328906319 1331527436 1349521050 1362980840 1403501892 1436655480 1439489120 1520460383 1572670200 1635577008 1664409295 1703726050 1754377365 1771875092 1795819350 1799361400 1871335856 1905914400 1915540640 1997291154 2044471260 2096893600 2159233680 2210239200 2214843865 2339169820 2394425800 2555589075 2657812638 2663054872 2699042100 2725961680 2807003784 2873310960 2923962275 3040920766 3145340400 3271154016 3328818590 3407452100 3508754730 3543750184 3591638700 3598722800 3742671712 3994582308 4088942520 4318467360 4327464167 4429687730 4561381149 4678339640 4788851600 4993227885 5111178150 5315625276 5326109744 5398084200 5451923360 5614007568 5746621920 5847924550 6081841532 6290680800 6644531595 6657637180 6814904200 7017509460 7087500368 7183277400 7197445600 7602301915 7989164616 8177885040 8322046475 8654928334 8771886825 8859375460 9122762298 9356679280 9577703200 9986455770 10222356300 10631250552 10652219488 10796168400 11074219325 11228015136 11695849100 12163683064 12982392501 13289063190 13315274360 13629808400 14035018920 14175000736 14366554800 15204603830 15978329232 16355770080 16644092950 17309856668 17543773650 17718750920 18245524596 18713358560 19972911540 20444712600 21262501104 21592336800 21637320835 22148438650 22806905745 23391698200 24327366128 24966139425 25964785002 26578126380 26630548720 27259616800 28070037840 28733109600 30409207660 31956658464 33222657975 33288185900 34619713336 35087547300 35437501840 36491049192 38011509575 39945823080 40889425200 42525002208 43274641670 44296877300 45613811490 46783396400 48654732256 49932278850 51929570004 53156252760 53261097440 56140075680 56257034171 60818415320 64911962505 66445315950 66576371800 69239426672 70175094600 70875003680 72982098384 76023019150 79891646160 81778850400 86549283340 88593754600 91227622980 93566792800 99864557700 103859140008 106312505520 108186604175 112514068342 114034528725 121636830640 129823925010 132890631900 133152743600 138478853344 140350189200 145964196768 152046038300 159783292320 168771102513 173098566680 177187509200 182455245960 199729115400 207718280016 212625011040 216373208350 225028136684 228069057450 243273661280 259647850020 265781263800 266305487200 280700378400 281285170855 304092076600 324559812525 337542205026 346197133360 354375018400 364910491920 399458230800 415436560032 432746416700 450056273368 456138114900 519295700040 531562527600 562570341710 608184153200 649119625050 675084410052 692394266720 729820983840 798916461600 843855512565 865492833400 900112546736 912276229800 1038591400080 1063125055200 1125140683420 1216368306400 1298239250100 1350168820104 1406425854275 1687711025130 1730985666800 1800225093472 1824552459600 2077182800160 2250281366840 2596478500200 2700337640208 2812851708550 3375422050260 3461971333600 3649104919200 4219277562825 4500562733680 5192957000400 5400675280416 5625703417100 6750844100520 8438555125650 9001125467360 10385914000800 11251406834200 13501688201040 16877110251300 22502813668400 27003376402080 33754220502600 45005627336800 67508441005200 135016882010400
- Sum of all divisors σ(n): 492603739342848
- Sum of proper divisors (its aliquot sum) s(n): 357586857332448
- 135016882010400 is an abundant number, because the sum of its proper divisors (357586857332448) is greater than itself. Its abundance is 222569975322048
Bases of 135016882010400
- Binary: 111101011001100000100010100101001111001001000002
- Hexadecimal: 0x7ACC114A7920
- Base-36: 1BUXWDIL9C
Squares and roots of 135016882010400
- 135016882010400 squared (1350168820104002) is 18229558427810275145708160000
- 135016882010400 cubed (1350168820104003) is 2461298139349352845384838306672484864000000
-
The
square root of 135016882010400 is 11619676.5019685467 -
The
cube root of 135016882010400 is 51301.4166690767
Scales and comparisons
How big is 135016882010400?- 135,016,882,010,400 seconds is equal to 4,293,119 years, 11 weeks, 15 hours, 20 minutes.
-
To count from 1 to 135,016,882,010,400 would take you about ten million, seven hundred thirty-two thousand, seven hundred ninety-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 135016882010400 cubic inches would be around 4275.1 feet tall.
Recreational maths with 135016882010400
- 135016882010400 backwards is 004010288610531
- 135016882010400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135016882010400's digits is 39
- 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 135016882010400 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 135016882010400 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/135016882010400/
Chicago style:
Numbermatics. 2024. "Number 135016882010400 - Facts about the integer". https://numbermatics.com/n/135016882010400/
The information we have on file for 135016882010400 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 135016882010400, math, Factors of 135016882010400, curriculum, school, college, exams, university, Prime factorization of 135016882010400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, sixteen billion, eight hundred eighty-two million, ten thousand, four hundred.