132542836314649200
132,542,836,314,649,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132542836314649200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
132542836314649200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 132542836314649200:
24 × 33 × 52 × 11 × 23 × 424231 × 114343
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 23 × 424231 × 114343)See below for interesting mathematical facts about the number 132542836314649200 from the Numbermatics database.
Names of 132542836314649200
- Cardinal: 132542836314649200 can be written as One hundred thirty-two quadrillion, five hundred forty-two trillion, eight hundred thirty-six billion, three hundred fourteen million, six hundred forty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.325428363146492 × 1017
Factors of 132542836314649200
Divisors of 132542836314649200
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 33 36 40 44 45 46 48 50 54 55 60 66 69 72 75 80 88 90 92 99 100 108 110 115 120 132 135 138 144 150 165 176 180 184 198 200 207 216 220 225 230 240 253 264 270 275 276 297 300 330 345 360 368 396 400 414 432 440 450 460 495 506 528 540 550 552 575 594 600 621 660 675 690 720 759 792 825 828 880 900 920 990 1012 1035 1080 1100 1104 1150 1188 1200 1242 1265 1320 1350 1380 1485 1518 1584 1650 1656 1725 1800 1840 1980 2024 2070 2160 2200 2277 2300 2376 2475 2484 2530 2640 2700 2760 2970 3036 3105 3300 3312 3450 3600 3795 3960 4048 4140 4400 4554 4600 4752 4950 4968 5060 5175 5400 5520 5940 6072 6210 6325 6600 6831 6900 7425 7590 7920 8280 9108 9200 9900 9936 10120 10350 10800 11385 11880 12144 12420 12650 13200 13662 13800 14850 15180 15525 16560 18216 18975 19800 20240 20700 22770 23760 24840 25300 27324 27600 29700 30360 31050 34155 36432 37950 39600 41400 45540 49680 50600 54648 56925 59400 60720 62100 68310 75900 82800 91080 101200 109296 113850 114343 118800 124200 136620 151800 170775 182160 227700 228686 248400 273240 303600 341550 343029 424231 455400 457372 546480 571715 683100 686058 848462 910800 914744 1029087 1143430 1257773 1272693 1366200 1372116 1696924 1715145 1829488 2058174 2121155 2286860 2515546 2545386 2629889 2732400 2744232 2858575 3087261 3393848 3430290 3773319 3818079 4116348 4242310 4573720 4666541 5031092 5090772 5145435 5259778 5488464 5717150 6174522 6288865 6363465 6787696 6860580 7546638 7636158 7889667 8232696 8484620 8575725 9147440 9333082 9757313 10062184 10181544 10290870 10519556 10605775 11319957 11434300 11454237 12349044 12577730 12726930 13149445 13721160 13999623 15093276 15272316 15436305 15779334 16465392 16969240 17151450 18666164 18866595 19090395 19514626 20124368 20363088 20581740 21039112 21211550 22639914 22868600 22908474 23332705 23669001 24698088 25155460 25453860 25727175 26298890 27442320 27999246 28928779 29271939 30186552 30544632 30872610 31444325 31558668 31817325 33938480 33959871 34302900 37332328 37733190 38180790 39029252 39448335 41163480 41998869 42078224 42423100 45279828 45737200 45816948 46665410 47338002 48786565 49396176 50310920 50907720 51454350 52597780 55998492 56599785 57271185 57857558 58543878 60373104 61089264 61745220 62888650 63117336 63634650 65747225 67919742 68605800 69998115 71007003 74664656 75466380 76361580 77181525 78058504 78896670 82326960 83997738 84846200 86786337 87815817 90559656 91633896 93330820 94332975 94676004 95451975 97573130 100621840 101815440 102908700 105195560 107330443 111996984 113199570 114542370 115715116 116663525 117087756 118345005 123490440 125777300 125996607 126234672 127269300 131494450 135839484 137211600 139996230 142014006 144643895 146359695 150932760 152723160 154363050 156117008 157793340 167995476 169692400 169799355 173572674 175631634 181119312 183267792 186661640 188665950 189352008 190903950 195146260 197241675 205817400 209994345 210391120 214660886 223993968 226399140 229084740 231430232 233327050 234175512 236690010 243932825 246980880 251554600 251993214 254538600 260359011 262988900 263447451 271678968 279992460 282998925 284028012 286355925 289287790 292719390 301865520 305446320 308726100 315586680 321991329 335990952 339598710 347145348 349990575 351263268 355035015 373323280 377331900 378704016 381807900 390292520 394483350 411634800 419988690 429321772 433931685 439079085 452798280 458169480 462860464 466654100 468351024 473380020 487865650 503109200 503986428 509077200 520718022 525977800 526894902 536652215 543357936 559984920 565997850 568056024 572711850 578575580 585438780 591725025 617452200 629983035 631173360 643982658 671981904 679197420 694290696 699981150 702526536 710070030 723219475 731798475 754663800 763615800 780585040 781077033 788966700 839977380 848996775 858643544 867863370 878158170 905596560 916338960 933308200 946760040 965973987 975731300 1007972856 1041436044 1049971725 1051955600 1053789804 1073304430 1119969840 1131995700 1136112048 1145423700 1157151160 1170877560 1183450050 1234904400 1259966070 1287965316 1301795055 1317237255 1358394840 1388581392 1399962300 1405053072 1420140060 1446438950 1463596950 1509327600 1527231600 1562154066 1577933400 1609956645 1679954760 1697993550 1717287088 1735726740 1756316340 1775175075 1866616400 1893520080 1931947974 1951462600 2015945712 2082872088 2099943450 2107579608 2146608860 2169658425 2195395425 2263991400 2290847400 2314302320 2341755120 2366900100 2519932140 2575930632 2603590110 2634474510 2683261075 2716789680 2799924600 2840280120 2892877900 2897921961 2927193900 3124308132 3149915175 3155866800 3219913290 3359909520 3395987100 3471453480 3512632680 3550350150 3863895948 3902925200 3905385165 4165744176 4199886900 4215159216 4293217720 4339316850 4390790850 4527982800 4581694800 4733800200 4829869935 5039864280 5151861264 5207180220 5268949020 5366522150 5599849200 5680560240 5785755800 5795843922 5854387800 6248616264 6299830350 6439826580 6508975275 6586186275 6791974200 6942906960 7025265360 7100700300 7727791896 7810770330 8049783225 8399773800 8586435440 8678633700 8781581700 9467600400 9659739870 10079728560 10414360440 10537898040 10733044300 11571511600 11591687844 11708775600 12497232528 12599660700 12879653160 13017950550 13172372550 13583948400 14201400600 14489609805 15455583792 15621540660 16099566450 16799547600 17357267400 17563163400 19319479740 19526925825 20828720880 21075796080 21466088600 23183375688 24149349675 25199321400 25759306320 26035901100 26344745100 28402801200 28979219610 31243081320 32199132900 34714534800 35126326800 38638959480 39053851650 42932177200 46366751376 48298699350 48507845233 50398642800 52071802200 52689490200 57958439220 62486162640 64398265800 72448049025 77277918960 78107703300 96597398700 97015690466 104143604400 105378980400 115916878440 128796531600 144896098050 145523535699 156215406600 193194797400 194031380932 231833756880 242539226165 289792196100 291047071398 312430813200 386389594800 388062761864 436570607097 485078452330 533586297563 579584392200 582094142796 727617678495 776125523728 873141214194 970156904660 1067172595126 1115680440359 1159168784400 1164188285592 1212696130825 1309711821291 1455235356990 1600758892689 1746282428388 1940313809320 2134345190252 2182853035485 2231360880718 2328376571184 2425392261650 2619423642582 2667931487815 2910470713980 3201517785378 3347041321077 3492564856776 3638088392475 3880627618640 4268690380504 4365706070970 4462721761436 4802276678067 4850784523300 5238847285164 5335862975630 5578402201795 5820941427960 6403035570756 6548559106455 6694082642154 6985129713552 7276176784950 8003794463445 8537380761008 8731412141940 8925443522872 9604553356134 9701569046600 10041123963231 10477694570328 10671725951260 10914265177425 11156804403590 11641882855920 12272484843949 12806071141512 13097118212910 13339657439075 13388165284308 14406830034201 14552353569900 16007588926890 16735206605385 17462824283880 17850887045744 19209106712268 19403138093200 20082247926462 20955389140656 21343451902520 21828530354850 22313608807180 24011383390335 24544969687898 25612142283024 26194236425820 26679314878150 26776330568616 27892011008975 28813660068402 29104707139800 30123371889693 32015177853780 32742795532275 33470413210770 34925648567760 36817454531847 38418213424536 40018972317225 40164495852924 42686903805040 43657060709700 44627217614360 48022766780670 49089939375796 50205619816155 52388472851640 53358629756300 53552661137232 55784022017950 57627320136804 58209414279600 60246743779386 61362424219745 64030355707560 65485591064550 66940826421540 72034150171005 73634909063694 76836426849072 80037944634450 80328991705848 83676033026925 87314121419400 89254435228720 96045533561340 98179878751592 100411239632310 104776945703280 106717259512600 110452363595541 111568044035900 115254640273608 120056916951675 120493487558772 122724848439490 128060711415120 130971182129100 133881652843080 144068300342010 147269818127388 150616859448465 160075889268900 160657983411696 167352066053850 174628242838800 184087272659235 192091067122680 196359757503184 200822479264620 213434519025200 220904727191082 223136088071800 230509280547216 240113833903350 240986975117544 245449696878980 251028099080775 261942364258200 267763305686160 288136600684020 294539636254776 301233718896930 306812121098725 320151778537800 331357090786623 334704132107700 360170750855025 368174545318470 384182134245360 401644958529240 441809454382164 446272176143600 480227667806700 481973950235088 490899393757960 502056198161550 523884728516400 552261817977705 576273201368040 589079272509552 602467437793860 613624242197450 640303557075600 662714181573246 669408264215400 720341501710050 736349090636940 753084297242325 803289917058480 883618908764328 920436363296175 960455335613400 981798787515920 1004112396323100 1104523635955410 1152546402736080 1204934875587720 1227248484394900 1325428363146492 1338816528430800 1440683003420100 1472698181273880 1506168594484650 1656785453933115 1767237817528656 1840872726592350 1920910671226800 2008224792646200 2209047271910820 2409869751175440 2454496968789800 2650856726292984 2761309089888525 2881366006840200 2945396362547760 3012337188969300 3313570907866230 3681745453184700 4016449585292400 4418094543821640 4908993937579600 5301713452585968 5522618179777050 5762732013680400 6024674377938600 6627141815732460 7363490906369400 8283927269665575 8836189087643280 11045236359554100 12049348755877200 13254283631464920 14726981812738800 16567854539331150 22090472719108200 26508567262929840 33135709078662300 44180945438216400 66271418157324600 132542836314649200
- Sum of all divisors σ(n): 537022734790901760
- Sum of proper divisors (its aliquot sum) s(n): 404479898476252560
- 132542836314649200 is an abundant number, because the sum of its proper divisors (404479898476252560) is greater than itself. Its abundance is 271937062161603360
Bases of 132542836314649200
- Binary: 1110101101110001100000001111001000000111010110010011100002
- Hexadecimal: 0x1D6E301E40EB270
- Base-36: 1092IIEZ4CC0
Squares and roots of 132542836314649200
- 132542836314649200 squared (1325428363146492002) is 17567603458331890725266519060640000
- 132542836314649200 cubed (1325428363146492003) is 2328459989618349000050284043337811584255127488000000
-
The
square root of 132542836314649200 is 364064329.9125158733 -
The
cube root of 132542836314649200 is 509861.3442296787
Scales and comparisons
How big is 132542836314649200?- 132,542,836,314,649,200 seconds is equal to 4,214,452,212 years, 46 weeks, 3 days, 15 hours.
-
To count from 1 to 132,542,836,314,649,200 would take you about twelve billion, six hundred forty-three million, three hundred fifty-six thousand, six hundred thirty-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 132542836314649200 cubic inches would be around 42488.4 feet tall.
Recreational maths with 132542836314649200
- 132542836314649200 backwards is 002946413638245231
- The number of decimal digits it has is: 18
- The sum of 132542836314649200's digits is 63
- 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 132542836314649200 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 132542836314649200 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/132542836314649200/
Chicago style:
Numbermatics. 2024. "Number 132542836314649200 - Facts about the integer". https://numbermatics.com/n/132542836314649200/
The information we have on file for 132542836314649200 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 132542836314649200, math, Factors of 132542836314649200, curriculum, school, college, exams, university, Prime factorization of 132542836314649200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, five hundred forty-two trillion, eight hundred thirty-six billion, three hundred fourteen million, six hundred forty-nine thousand, two hundred.