135234375225600
135,234,375,225,600 is an even composite number composed of seven prime numbers multiplied together.
135234375225600 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 135234375225600:
28 × 3 × 52 × 7 × 211 × 1093 × 4363
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 211 × 1093 × 4363)See below for interesting mathematical facts about the number 135234375225600 from the Numbermatics database.
Names of 135234375225600
- Cardinal: 135234375225600 can be written as One hundred thirty-five trillion, two hundred thirty-four billion, three hundred seventy-five million, two hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.352343752256 × 1014
Factors of 135234375225600
Divisors of 135234375225600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 211 224 240 256 280 300 320 336 350 384 400 420 422 448 480 525 560 600 633 640 672 700 768 800 840 844 896 960 1050 1055 1093 1120 1200 1266 1280 1344 1400 1477 1600 1680 1688 1792 1920 2100 2110 2186 2240 2400 2532 2688 2800 2954 3165 3200 3279 3360 3376 3840 4200 4220 4363 4372 4431 4480 4800 5064 5275 5376 5465 5600 5908 6330 6400 6558 6720 6752 7385 7651 8400 8440 8726 8744 8862 8960 9600 10128 10550 10930 11200 11816 12660 13089 13116 13440 13504 14770 15302 15825 16395 16800 16880 17452 17488 17724 19200 20256 21100 21815 21860 22155 22400 22953 23632 25320 26178 26232 26880 27008 27325 29540 30541 30604 31650 32790 33600 33760 34904 34976 35448 36925 38255 40512 42200 43630 43720 44310 44800 45906 47264 50640 52356 52464 54016 54650 59080 61082 61208 63300 65445 65580 67200 67520 69808 69952 70896 73850 76510 81024 81975 84400 87260 87440 88620 91623 91812 94528 101280 104712 104928 109075 109300 110775 114765 118160 122164 122416 126600 130890 131160 134400 135040 139616 139904 141792 147700 152705 153020 162048 163950 168800 174520 174880 177240 183246 183624 189056 191275 202560 209424 209856 218150 218600 221550 229530 230623 236320 244328 244832 253200 261780 262320 270080 279232 279808 283584 295400 305410 306040 327225 327900 337600 349040 349760 354480 366492 367248 378112 382550 405120 418848 419712 436300 437200 443100 458115 459060 461246 472640 488656 489664 506400 523560 524640 558464 567168 573825 590800 610820 612080 654450 655800 675200 691869 698080 699520 708960 732984 734496 763525 765100 810240 837696 839424 872600 874400 886200 916230 918120 920593 922492 945280 977312 979328 1012800 1047120 1049280 1116928 1134336 1147650 1153115 1181600 1221640 1224160 1308900 1311600 1350400 1383738 1396160 1399040 1417920 1465968 1468992 1527050 1530200 1614361 1675392 1745200 1748800 1772400 1832460 1836240 1841186 1844984 1890560 1954624 1958656 2025600 2094240 2098560 2290575 2295300 2306230 2363200 2443280 2448320 2617800 2623200 2761779 2767476 2792320 2835840 2931936 2937984 3054100 3060400 3228722 3350784 3459345 3490400 3497600 3544800 3664920 3672480 3682372 3689968 3909248 4051200 4188480 4197120 4581150 4590600 4602965 4612460 4726400 4768759 4843083 4886560 4896640 5235600 5246400 5523558 5534952 5584640 5671680 5765575 5863872 5875968 6108200 6120800 6444151 6457444 6918690 6980800 6995200 7089600 7329840 7344960 7364744 7379936 7818496 8071805 8376960 9162300 9181200 9205930 9224920 9452800 9537518 9686166 9773120 9793280 10471200 10492800 11047116 11069904 11531150 11727744 12216400 12241600 12888302 12914888 13808895 13837380 13961600 14179200 14306277 14659680 14689920 14729488 14759872 16143610 16753920 17296725 18324600 18362400 18411860 18449840 19075036 19332453 19372332 19546240 20942400 20985600 22094232 22139808 23014825 23062300 23455488 23843795 24215415 24432800 24483200 25776604 25829776 27617790 27674760 27923200 28358400 28612554 29319360 29379840 29458976 29519744 32220755 32287220 33381313 34593450 36649200 36724800 36823720 36899680 38150072 38664906 38744664 39092480 40359025 41884800 44188464 44279616 46029650 46124600 47687590 48430830 48865600 48966400 51553208 51659552 55235580 55349520 57225108 58638720 58917952 59039488 64441510 64574440 66762626 69044475 69186900 71531385 73298400 73449600 73647440 73799360 76300144 77329812 77489328 80718050 83769600 88376928 88559232 92059300 92249200 95375180 96662265 96861660 97731200 100143939 103106416 103319104 110471160 110699040 114450216 117277440 117835904 119218975 121077075 128883020 129148880 133525252 138088950 138373800 143062770 146596800 146899200 147294880 147598720 152600288 154659624 154978656 161103775 161436100 166906565 176753856 177118464 184118600 184498400 190750360 193324530 193723320 195462400 200287878 206212832 206638208 220942320 221398080 228900432 235671808 238437950 242154150 257766040 258297760 267050504 276177900 276747600 286125540 293193600 294589760 295197440 305200576 309319248 309957312 322207550 322872200 333813130 353507712 357656925 368237200 368996800 381500720 386649060 387446640 400575756 412425664 413276416 441884640 442796160 457800864 476875900 483311325 484308300 500719695 515532080 516595520 534101008 552355800 553495200 572251080 586387200 589179520 610401152 618638496 619914624 644415100 645744400 667626260 707015424 715313850 736474400 737993600 763001440 773298120 774893280 801151512 824851328 834532825 883769280 885592320 915601728 953751800 966622650 968616600 1001439390 1006208149 1031064160 1033191040 1068202016 1104711600 1106990400 1144502160 1178359040 1220802304 1237276992 1239829248 1288830200 1291488800 1335252520 1430627700 1472948800 1475987200 1526002880 1546596240 1549786560 1602303024 1649702656 1669065650 1767538560 1831203456 1907503600 1933245300 1937233200 2002878780 2012416298 2062128320 2066382080 2136404032 2209423200 2213980800 2289004320 2474553984 2503598475 2577660400 2582977600 2670505040 2861255400 2945897600 3018624447 3052005760 3093192480 3099573120 3204606048 3338131300 3535077120 3662406912 3815007200 3866490600 3874466400 4005757560 4024832596 4124256640 4272808064 4418846400 4427961600 4578008640 4949107968 5007196950 5031040745 5155320800 5165955200 5341010080 5722510800 5891795200 6037248894 6104011520 6186384960 6199146240 6409212096 6676262600 7043457043 7630014400 7732981200 7748932800 8011515120 8049665192 8248513280 8545616128 8837692800 9156017280 10014393900 10062081490 10310641600 10331910400 10682020160 11445021600 12074497788 12372769920 12818424192 13352525200 14086914086 15093122235 15260028800 15465962400 15497865600 16023030240 16099330384 17675385600 18312034560 20028787800 20124162980 20621283200 21130371129 21364040320 22890043200 24148995576 24745539840 25155203725 25636848384 26705050400 28173828172 30186244470 30520057600 30931924800 30995731200 32046060480 32198660768 35217285215 40057575600 40248325960 41242566400 42260742258 42728080640 45780086400 48297991152 50310407450 53410100800 56347656344 60372488940 61863849600 64092120960 64397321536 70434570430 75465611175 80115151200 80496651920 84521484516 91560172800 96595982304 100620814900 105651855645 106820201600 112695312688 120744977880 123727699200 128184241920 128794643072 140869140860 150931222350 160230302400 160993303840 169042969032 176086426075 193191964608 201241629800 211303711290 213640403200 225390625376 241489955760 257589286144 281738281720 301862444700 320460604800 321986607680 338085938064 352172852150 386383929216 402483259600 422607422580 450781250752 482979911520 528259278225 563476563440 603724889400 640921209600 643973215360 676171876128 704345704300 772767858432 804966519200 845214845160 901562501504 965959823040 1056518556450 1126953126880 1207449778800 1287946430720 1352343752256 1408691408600 1609933038400 1690429690320 1803125003008 1931919646080 2113037112900 2253906253760 2414899557600 2704687504512 2817382817200 3219866076800 3380859380640 3863839292160 4226074225800 4507812507520 4829799115200 5409375009024 5634765634400 6439732153600 6761718761280 8452148451600 9015625015040 9659598230400 11269531268800 13523437522560 16904296903200 19319196460800 22539062537600 27046875045120 33808593806400 45078125075200 67617187612800 135234375225600
- Sum of all divisors σ(n): 513062764770304
- Sum of proper divisors (its aliquot sum) s(n): 377828389544704
- 135234375225600 is an abundant number, because the sum of its proper divisors (377828389544704) is greater than itself. Its abundance is 242594014319104
Bases of 135234375225600
- Binary: 111101011111110101101001110010110010001000000002
- Hexadecimal: 0x7AFEB4E59100
- Base-36: 1BXPTBD05C
Squares and roots of 135234375225600
- 135234375225600 squared (1352343752256002) is 18288336242658375050895360000
- 135234375225600 cubed (1352343752256003) is 2473211725691602344867156611481993216000000
-
The
square root of 135234375225600 is 11629031.5686904901 -
The
cube root of 135234375225600 is 51328.9483477777
Scales and comparisons
How big is 135234375225600?- 135,234,375,225,600 seconds is equal to 4,300,034 years, 42 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 135,234,375,225,600 would take you about ten million, seven hundred fifty thousand and eighty-seven 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 135234375225600 cubic inches would be around 4277.4 feet tall.
Recreational maths with 135234375225600
- 135234375225600 backwards is 006522573432531
- 135234375225600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135234375225600's digits is 48
- 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 135234375225600 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 135234375225600 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/135234375225600/
Chicago style:
Numbermatics. 2024. "Number 135234375225600 - Facts about the integer". https://numbermatics.com/n/135234375225600/
The information we have on file for 135234375225600 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 135234375225600, math, Factors of 135234375225600, curriculum, school, college, exams, university, Prime factorization of 135234375225600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, two hundred thirty-four billion, three hundred seventy-five million, two hundred twenty-five thousand, six hundred.