135003522010406400
135,003,522,010,406,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 135003522010406400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
135003522010406400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 135003522010406400:
29 × 32 × 52 × 133 × 8113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 811 × 811 × 811)See below for interesting mathematical facts about the number 135003522010406400 from the Numbermatics database.
Names of 135003522010406400
- Cardinal: 135003522010406400 can be written as One hundred thirty-five quadrillion, three trillion, five hundred twenty-two billion, ten million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.350035220104064 × 1017
Factors of 135003522010406400
Divisors of 135003522010406400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 338 360 384 390 400 416 450 468 480 507 512 520 576 585 600 624 640 650 676 720 768 780 800 811 832 845 900 936 960 975 1014 1040 1152 1170 1200 1248 1280 1300 1352 1440 1521 1536 1560 1600 1622 1664 1690 1800 1872 1920 1950 2028 2080 2197 2304 2340 2400 2433 2496 2535 2560 2600 2704 2880 2925 3042 3120 3200 3244 3328 3380 3600 3744 3840 3900 4055 4056 4160 4225 4394 4608 4680 4800 4866 4992 5070 5200 5408 5760 5850 6084 6240 6400 6488 6591 6656 6760 7200 7299 7488 7605 7680 7800 8110 8112 8320 8450 8788 9360 9600 9732 9984 10140 10400 10543 10816 10985 11520 11700 12165 12168 12480 12675 12800 12976 13182 13520 14400 14598 14976 15210 15600 16220 16224 16640 16900 17576 18720 19200 19464 19773 19968 20275 20280 20800 21086 21632 21970 23040 23400 24330 24336 24960 25350 25952 26364 27040 28800 29196 29952 30420 31200 31629 32440 32448 32955 33280 33800 35152 36495 37440 38025 38400 38928 39546 40550 40560 41600 42172 43264 43940 46800 48660 48672 49920 50700 51904 52715 52728 54080 54925 57600 58392 59904 60825 60840 62400 63258 64880 64896 65910 67600 70304 72990 74880 76050 77856 79092 81100 81120 83200 84344 86528 87880 93600 94887 97320 97344 98865 99840 101400 103808 105430 105456 108160 109850 115200 116784 121650 121680 124800 126516 129760 129792 131820 135200 137059 140608 145980 149760 152100 155712 158145 158184 162200 162240 164775 166400 168688 175760 182475 187200 189774 194640 194688 197730 202800 207616 210860 210912 216320 219700 233568 243300 243360 249600 253032 259520 259584 263575 263640 270400 274118 281216 291960 299520 304200 311424 316290 316368 324400 324480 329550 337376 351520 364950 374400 379548 389280 389376 395460 405600 411177 415232 421720 421824 432640 439400 467136 474435 486600 486720 494325 499200 506064 519040 527150 527280 540800 548236 562432 583920 608400 622848 632580 632736 648800 648960 657721 659100 674752 685295 703040 729900 748800 759096 778560 778752 790725 790920 811200 822354 843440 843648 878800 934272 948870 973200 973440 988650 1012128 1038080 1054300 1054560 1081600 1096472 1124864 1167840 1216800 1233531 1245696 1265160 1265472 1297600 1297920 1315442 1318200 1349504 1370590 1406080 1459800 1497600 1518192 1557120 1581450 1581840 1622400 1644708 1686880 1687296 1757600 1781767 1868544 1897740 1946400 1946880 1973163 1977300 2024256 2055885 2076160 2108600 2109120 2163200 2192944 2335680 2372175 2433600 2467062 2530320 2530944 2595200 2630884 2636400 2699008 2741180 2812160 2919600 3036384 3114240 3162900 3163680 3244800 3288605 3289416 3373760 3374592 3426475 3515200 3563534 3737088 3795480 3892800 3893760 3946326 3954600 4048512 4111770 4217200 4218240 4385888 4671360 4744350 4867200 4934124 5060640 5061888 5190400 5261768 5272800 5345301 5398016 5482360 5624320 5839200 5919489 6072768 6167655 6228480 6325800 6327360 6489600 6577210 6578832 6747520 6852950 7030400 7127068 7590960 7785600 7892652 7909200 8097024 8223540 8434400 8436480 8550373 8771776 8908835 9342720 9488700 9734400 9865815 9868248 10121280 10123776 10279425 10380800 10523536 10545600 10690602 10964720 11678400 11838978 12145536 12335310 12651600 12654720 13154420 13157664 13495040 13705900 14060800 14254136 15181920 15571200 15785304 15818400 16035903 16194048 16443025 16447080 16868800 16872960 17100746 17543552 17817670 18685440 18977400 19468800 19731630 19736496 20242560 20558850 21047072 21091200 21381204 21929440 23356800 23677956 24291072 24670620 25303200 25309440 25651119 26308840 26315328 26726505 26990080 27411800 28121600 28508272 29597445 30363840 30838275 31142400 31570608 31636800 32071806 32886050 32894160 33737600 34201492 35087104 35635340 37954800 39463260 39472992 40485120 41117700 42094144 42182400 42751865 42762408 43858880 44544175 46713600 47355912 48582144 49329075 49341240 50606400 50618880 51302238 52617680 52630656 53453010 54823600 57016544 59194890 60727680 61676550 63141216 63273600 64143612 65772100 65788320 67475200 68402984 70174208 71270680 75909600 76953357 78926520 78945984 80179515 80970240 82235400 84188288 84364800 85503730 85524816 87717760 89088350 93427200 94711824 98658150 98682480 101212800 102604476 105235360 105261312 106906020 109647200 111154849 114033088 118389780 121455360 123353100 126282432 126547200 128255595 128287224 131544200 131576640 133632525 134950400 136805968 142541360 147987225 151819200 153906714 157853040 157891968 160359030 164470800 168376576 171007460 171049632 175435520 178176700 189423648 197316300 197364960 202425600 205208952 210470720 210522624 213759325 213812040 219294400 222309698 228066176 236779560 242910720 246706200 252564864 253094400 256511190 256574448 263088400 263153280 267265050 273611936 285082720 295974450 303638400 307813428 315706080 315783936 320718060 328941600 333464547 336753152 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51314889600 52020469332 53341173100 53354327520 54722387200 55474820024 56911282688 57800521480 61562685600 62409172527 64009407720 64025193024 65025586665 65666864640 66692909400 68276701568 68419852800 69343525030 69360625776 71139103360 72250651850 75769459200 76811289264 80011759650 80031491280 82083580800 83212230036 85345876960 85366924032 86700782220 88923879200 90146582539 92480834368 96014111580 98500296960 100039364100 102415052352 102629779200 104015287545 104040938664 106682346200 106708655040 108375977775 109444774400 110949640048 115601042960 120017639475 123125371200 124818345054 128018815440 128050386048 130051173330 133385818800 136553403136 138687050060 138721251552 142278206720 144501303700 153622578528 160023519300 160062982560 164167161600 166424460072 170691753920 170733848064 173358812575 173401564440 177847758400 180293165078 184961668736 192028223160 197000593920 200078728200 204830104704 205259558400 208030575090 208081877328 213364692400 213417310080 216751955550 221899280096 231202085920 240035278950 246250742400 249636690108 256037630880 256100772096 260102346660 266771637600 270439747617 273106806272 277374100120 277442503104 284556413440 289002607400 307245157056 312045862635 320047038600 320125965120 325127933325 328334323200 332848920144 341383507840 346717625150 346803128880 355695516800 360586330156 369923337472 384056446320 400157456400 409660209408 416061150180 416163754656 426729384800 426834620160 433503911100 443798560192 450732912695 462404171840 480070557900 492501484800 499273380216 512075261760 512201544192 520076437725 520204693320 533543275200 540879495234 554748200240 554885006208 578005214800 614490314112 624091725270 640094077200 640251930240 650255866650 665697840288 682767015680 693435250300 693606257760 711391033600 721172660312 739846674944 768112892640 800314912800 811319242851 819320418816 832122300360 832327509312 853458769600 853669240320 867007822200 887597120384 901465825390 924808343680 960141115800 985002969600 998546760432 1024150523520 1040152875450 1040409386640 1067086550400 1081758990468 1109496400480 1109770012416 1156010429600 1171905573007 1228980628224 1248183450540 1280188154400 1280503860480 1300511733300 1331395680576 1352198738085 1365534031360 1386870500600 1387212515520 1422782067200 1442345320624 1536225785280 1560229313175 1600629825600 1622638485702 1664244600720 1664655018624 1706917539200 1734015644400 1775194240768 1802931650780 1849616687360 1920282231600 1997093520864 2048301047040 2080305750900 2080818773280 2134173100800 2163517980936 2218992800960 2219540024832 2253664563475 2312020859200 2343811146014 2457961256448 2496366901080 2560376308800 2561007720960 2601023466600 2662791361152 2704397476170 2773741001200 2774425031040 2884690641248 3072451570560 3120458626350 3201259651200 3245276971404 3328489201440 3329310037248 3413835078400 3468031288800 3515716719021 3550388481536 3605863301560 3699233374720 3840564463200 3994187041728 4056596214255 4096602094080 4160611501800 4161637546560 4268346201600 4327035961872 4437985601920 4507329126950 4624041718400 4687622292028 4992733802160 5120752617600 5202046933200 5325582722304 5408794952340 5547482002400 5548850062080 5769381282496 5859527865035 6144903141120 6240917252700 6402519302400 6490553942808 6656978402880 6658620074496 6760993690425 6827670156800 6936062577600 7031433438042 7211726603120 7681128926400 7988374083456 8113192428510 8321223003600 8323275093120 8654071923744 8875971203840 9014658253900 9248083436800 9375244584056 9985467604320 10241505235200 10404093866400 10547150157063 10651165444608 10817589904680 11094964004800 11097700124160 11538762564992 11719055730070 12289806282240 12481834505400 12805038604800 12981107885616 13313956805760 13521987380850 13872125155200 14062866876084 14423453206240 15362257852800 15976748166912 16226384857020 16642446007200 16646550186240 17308143847488 17578583595105 17751942407680 18029316507800 18496166873600 18750489168112 19970935208640 20282981071275 20483010470400 20808187732800 21094300314126 21635179809360 22189928009600 23077525129984 23438111460140 24963669010800 25962215771232 26627913611520 27043974761700 27744250310400 28125733752168 28846906412480 29297639325175 30724515705600 31953496333824 32452769714040 33284892014400 33293100372480 34616287694976 35157167190210 36058633015600 37500978336224 39941870417280 40565962142550 41616375465600 42188600628252 43270359618720 44379856019200 46155050259968 46876222920280 49927338021600 51924431542464 52735750785315 53255827223040 54087949523400 55488500620800 56251467504336 57693812824960 58595278650350 61449031411200 64905539428080 66569784028800 69232575389952 70314334380420 72117266031200 75001956672448 79883740834560 81131924285100 83232750931200 84377201256504 86540719237440 87892917975525 88759712038400 93752445840560 99854676043200 103848863084928 105471501570630 108175899046800 112502935008672 115387625649920 117190557300700 129811078856160 133139568057600 138465150779904 140628668760840 144234532062400 150003913344896 159767481669120 162263848570200 166465501862400 168754402513008 173081438474880 175785835951050 187504891681120 199709352086400 207697726169856 210943003141260 216351798093600 225005870017344 230775251299840 234381114601400 259622157712320 263678753926575 266279136115200 281257337521680 288469064124800 300007826689792 324527697140400 337508805026016 346162876949760 351571671902100 375009783362240 399418704172800 415395452339712 421886006282520 432703596187200 450011740034688 468762229202800 519244315424640 527357507853150 562514675043360 576938128249600 600015653379584 649055394280800 675017610052032 692325753899520 703143343804200 750019566724480 798837408345600 843772012565040 865407192374400 900023480069376 937524458405600 1038488630849280 1054715015706300 1125029350086720 1153876256499200 1298110788561600 1350035220104064 1406286687608400 1500039133448960 1687544025130080 1730814384748800 1800046960138752 1875048916811200 2076977261698560 2109430031412600 2250058700173440 2596221577123200 2700070440208128 2812573375216800 3000078266897920 3375088050260160 3461628769497600 3750097833622400 4218860062825200 4500117400346880 5192443154246400 5400140880416256 5625146750433600 6750176100520320 7500195667244800 8437720125650400 9000234800693760 10384886308492800 11250293500867200 13500352201040640 15000391334489600 16875440251300800 22500587001734400 27000704402081280 33750880502601600 45001174003468800 67501761005203200 135003522010406400
- Sum of all divisors σ(n): 524029860532258080
- Sum of proper divisors (its aliquot sum) s(n): 389026338521851680
- 135003522010406400 is an abundant number, because the sum of its proper divisors (389026338521851680) is greater than itself. Its abundance is 254022816511445280
Bases of 135003522010406400
- Binary: 1110111111010000011111100111011001101101101011110000000002
- Hexadecimal: 0x1DFA0FCECDB5E00
- Base-36: 10XAR5THCOW0
Squares and roots of 135003522010406400
- 135003522010406400 squared (1350035220104064002) is 18225950955214285302789893160960000
- 135003522010406400 cubed (1350035220104064003) is 2460567570942859316609813941308265645310214144000000
-
The
square root of 135003522010406400 is 367428254.2353083657 -
The
cube root of 135003522010406400 is 512997.2451146429
Scales and comparisons
How big is 135003522010406400?- 135,003,522,010,406,400 seconds is equal to 4,292,694,406 years, 32 weeks, 1 day, 8 hours.
-
To count from 1 to 135,003,522,010,406,400 would take you about twelve billion, eight hundred seventy-eight million, eighty-three thousand, two hundred nineteen 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 135003522010406400 cubic inches would be around 42749.8 feet tall.
Recreational maths with 135003522010406400
- 135003522010406400 backwards is 004604010225300531
- 135003522010406400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135003522010406400's digits is 36
- More coming soon!
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"Number 135003522010406400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 135003522010406400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/135003522010406400/
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The information we have on file for 135003522010406400 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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