135356628427430400
135,356,628,427,430,400 is an even composite number composed of five prime numbers multiplied together.
135356628427430400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 135356628427430400:
29 × 36 × 52 × 197 × 85812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 197 × 8581 × 8581)See below for interesting mathematical facts about the number 135356628427430400 from the Numbermatics database.
Names of 135356628427430400
- Cardinal: 135356628427430400 can be written as One hundred thirty-five quadrillion, three hundred fifty-six trillion, six hundred twenty-eight billion, four hundred twenty-seven million, four hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.353566284274304 × 1017
Factors of 135356628427430400
Divisors of 135356628427430400
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 197 200 216 225 240 243 256 270 288 300 320 324 360 384 394 400 405 432 450 480 486 512 540 576 591 600 640 648 675 720 729 768 788 800 810 864 900 960 972 985 1080 1152 1182 1200 1215 1280 1296 1350 1440 1458 1536 1576 1600 1620 1728 1773 1800 1920 1944 1970 2025 2160 2304 2364 2400 2430 2560 2592 2700 2880 2916 2955 3152 3200 3240 3456 3546 3600 3645 3840 3888 3940 4050 4320 4608 4728 4800 4860 4925 5184 5319 5400 5760 5832 5910 6075 6304 6400 6480 6912 7092 7200 7290 7680 7776 7880 8100 8581 8640 8865 9456 9600 9720 9850 10368 10638 10800 11520 11664 11820 12150 12608 12800 12960 13824 14184 14400 14580 14775 15552 15760 15957 16200 17162 17280 17730 18225 18912 19200 19440 19700 20736 21276 21600 23040 23328 23640 24300 25216 25743 25920 26595 28368 28800 29160 29550 31104 31520 31914 32400 34324 34560 35460 36450 37824 38400 38880 39400 41472 42552 42905 43200 44325 46656 47280 47871 48600 50432 51486 51840 53190 56736 57600 58320 59100 62208 63040 63828 64800 68648 69120 70920 72900 75648 77229 77760 78800 79785 85104 85810 86400 88650 93312 94560 95742 97200 100864 102972 103680 106380 113472 115200 116640 118200 124416 126080 127656 128715 129600 132975 137296 141840 143613 145800 151296 154458 155520 157600 159570 170208 171620 172800 177300 186624 189120 191484 194400 205944 207360 212760 214525 226944 231687 233280 236400 239355 252160 255312 257430 259200 265950 274592 283680 287226 291600 302592 308916 311040 315200 319140 340416 343240 345600 354600 373248 378240 382968 386145 388800 398925 411888 425520 429050 453888 463374 466560 472800 478710 504320 510624 514860 518400 531900 549184 567360 574452 583200 617832 622080 630400 638280 643575 680832 686480 695061 709200 718065 756480 765936 772290 777600 797850 823776 851040 858100 907776 926748 933120 945600 957420 1021248 1029720 1036800 1063800 1098368 1134720 1148904 1158435 1166400 1196775 1235664 1260800 1276560 1287150 1361664 1372960 1390122 1418400 1436130 1512960 1531872 1544580 1555200 1595700 1647552 1690457 1702080 1716200 1853496 1866240 1891200 1914840 1930725 2042496 2059440 2085183 2127600 2196736 2269440 2297808 2316870 2332800 2393550 2471328 2521600 2553120 2574300 2723328 2745920 2780244 2836800 2872260 3063744 3089160 3110400 3191400 3295104 3380914 3404160 3432400 3475305 3590325 3706992 3782400 3829680 3861450 4084992 4118880 4170366 4255200 4393472 4538880 4595616 4633740 4665600 4787100 4942656 5071371 5106240 5148600 5491840 5560488 5673600 5744520 5792175 6127488 6178320 6255549 6382800 6590208 6761828 6808320 6864800 6950610 7180650 7413984 7564800 7659360 7722900 8169984 8237760 8340732 8452285 8510400 9191232 9267480 9331200 9574200 9885312 10142742 10212480 10297200 10425915 10983680 11120976 11347200 11489040 11584350 12254976 12356640 12511098 12765600 13180416 13523656 13616640 13729600 13901220 14361300 14827968 15214113 15318720 15445800 16475520 16681464 16904570 17020800 17376525 18382464 18534960 19148400 19770624 20285484 20424960 20594400 20851830 21967360 22241952 22694400 22978080 23168700 24509952 24713280 25022196 25356855 25531200 27047312 27459200 27802440 28722600 29655936 30428226 30637440 30891600 31277745 32951040 33362928 33809140 34041600 34753050 36764928 37069920 38296800 39541248 40570968 40849920 41188800 41703660 42261425 44483904 45642339 45956160 46337400 49426560 50044392 50713710 51062400 52129575 54094624 54918400 55604880 57445200 59311872 60856452 61274880 61783200 62555490 65902080 66725856 67618280 68083200 69506100 73529856 73633561 74139840 76070565 76593600 81141936 82377600 83407320 84522850 88967808 91284678 91912320 92674800 98853120 100088784 101427420 102124800 104259150 108189248 109836800 111209760 114890400 118623744 121712904 122549760 123566400 125110980 126784275 133451712 135236560 136927017 139012200 147267122 148279680 152141130 153187200 156388725 162283872 164755200 166814640 169045700 177935616 182569356 183824640 185349600 197706240 200177568 202854840 204249600 208518300 216378496 220900683 222419520 228211695 229780800 243425808 247132800 250221960 253568550 266903424 270473120 273854034 278024400 294534244 296559360 304282260 306374400 312777450 324567744 329510400 333629280 338091400 355871232 365138712 367649280 368167805 370699200 380352825 400355136 405709680 410781051 417036600 432756992 441801366 444839040 456423390 459561600 486851616 494265600 500443920 507137100 533806848 540946240 547708068 556048800 589068488 593118720 608564520 612748800 625554900 649135488 662702049 667258560 676182800 684635085 730277424 736335610 741398400 760705650 800710272 811419360 821562102 834073200 865513984 883602732 889678080 912846780 919123200 973703232 988531200 1000887840 1014274200 1067613696 1081892480 1095416136 1104503415 1112097600 1141058475 1178136976 1217129040 1232343153 1251109800 1298270976 1325404098 1334517120 1352365600 1369270170 1460554848 1472671220 1482796800 1521411300 1601420544 1622838720 1643124204 1668146400 1767205464 1779356160 1825693560 1838246400 1840839025 1947406464 1988106147 2001775680 2028548400 2053905255 2163784960 2190832272 2209006830 2224195200 2282116950 2356273952 2434258080 2464686306 2502219600 2596541952 2650808196 2669034240 2704731200 2738540340 2921109696 2945342440 2965593600 3042822600 3202841088 3245677440 3286248408 3313510245 3336292800 3423175425 3534410928 3651387120 3681678050 3894812928 3976212294 4003551360 4057096800 4107810510 4327569920 4381664544 4418013660 4448390400 4564233900 4712547904 4868516160 4929372612 5004439200 5301616392 5338068480 5409462400 5477080680 5522517075 5842219392 5890684880 5964318441 6085645200 6161715765 6491354880 6572496816 6627020490 6672585600 6846350850 7068821856 7302774240 7363356100 7789625856 7952424588 8007102720 8114193600 8215621020 8763329088 8836027320 8896780800 9128467800 9425095808 9737032320 9858745224 9940530735 10008878400 10269526275 10603232784 10818924800 10954161360 11045034150 11684438784 11781369760 11928636882 12171290400 12323431530 12982709760 13144993632 13254040980 13345171200 13692701700 14137643712 14505811517 14605548480 14726712200 15904849176 16014205440 16228387200 16431242040 16567551225 17526658176 17672054640 17892955323 18256935600 18850191616 19474064640 19717490448 19881061470 20017756800 20539052550 21206465568 21637849600 21908322720 22090068300 23368877568 23562739520 23857273764 24342580800 24646863060 26289987264 26508081960 26690342400 27385403400 28275287424 29011623034 29211096960 29453424400 29821592205 30808578825 31809698352 32456774400 32862484080 33135102450 35053316352 35344109280 35785910646 36513871200 37700383232 38948129280 39434980896 39762122940 40035513600 41078105100 42412931136 43517434551 43816645440 44180136600 47125479040 47714547528 48685161600 49293726120 49702653675 52579974528 53016163920 53678865969 54770806800 56550574848 58023246068 58422193920 58906848800 59643184410 61617157650 63619396704 64913548800 65724968160 66270204900 70106632704 70688218560 71571821292 72529057585 73027742400 78869961792 79524245880 80071027200 82156210200 84825862272 87034869102 87633290880 88360273200 89464776615 94250958080 95429095056 97370323200 98587452240 99405307350 105159949056 106032327840 107357731938 109541613600 113101149696 116046492136 116844387840 117813697600 119286368820 123234315300 127238793408 130552303653 131449936320 132540409800 141376437120 143143642584 145058115170 146055484800 149107961025 157739923584 159048491760 164312420400 169651724544 174069738204 175266581760 176720546400 178929553230 188501916160 190858190112 194740646400 197174904480 198810614700 210319898112 212064655680 214715463876 217587172755 219083227200 232092984272 235627395200 238572737640 246468630600 254477586816 261104607306 262899872640 265080819600 268394329845 282752874240 286287285168 290116230340 292110969600 298215922050 315479847168 318096983520 328624840800 339303449088 348139476408 350533163520 353441092800 357859106460 362645287925 381716380224 391656910959 394349808960 397621229400 424129311360 429430927752 435174345510 438166454400 447323883075 464185968544 471254790400 477145475280 492937261200 508955173632 522209214612 525799745280 530161639200 536788659690 565505748480 572574570336 580232460680 584221939200 596431844100 630959694336 636193967040 652761518265 657249681600 696278952816 706882185600 715718212920 725290575850 763432760448 783313821918 788699617920 795242458800 848258622720 858861855504 870348691020 876332908800 894647766150 928371937088 942509580800 954290950560 985874522400 1017910347264 1044418429224 1051599490560 1060323278400 1073577319380 1087935863775 1145149140672 1160464921360 1174970732877 1192863688200 1272387934080 1305523036530 1314499363200 1341971649225 1392557905632 1413764371200 1431436425840 1450581151700 1526865520896 1566627643836 1577399235840 1590484917600 1696517245440 1717723711008 1740697382040 1752665817600 1789295532300 1856743874176 1908581901120 1958284554795 1971749044800 2088836858448 2120646556800 2147154638760 2175871727550 2290298281344 2320929842720 2349941465754 2385727376400 2544775868160 2611046073060 2628998726400 2683943298450 2785115811264 2827528742400 2862872851680 2901162303400 3053731041792 3133255287672 3154798471680 3180969835200 3263807591325 3435447422016 3481394764080 3524912198631 3578591064600 3713487748352 3817163802240 3916569109590 3943498089600 4177673716896 4241293113600 4294309277520 4351743455100 4580596562688 4641859685440 4699882931508 4771454752800 5089551736320 5222092146120 5257997452800 5367886596900 5570231622528 5725745703360 5802324606800 5874853664385 6266510575344 6361939670400 6527615182650 6870894844032 6962789528160 7049824397262 7157182129200 7426975496704 7634327604480 7833138219180 7886996179200 8355347433792 8482586227200 8588618555040 8703486910200 9161193125376 9283719370880 9399765863016 9542909505600 9791422773975 10444184292240 10574736595893 10735773193800 11140463245056 11451491406720 11604649213600 11749707328770 12533021150688 12723879340800 13055230365300 13741789688064 13925579056320 14099648794524 14314364258400 15268655208960 15666276438360 15773992358400 16710694867584 17177237110080 17406973820400 17624560993155 18567438741760 18799531726032 19085819011200 19582845547950 20888368584480 21149473191786 21471546387600 22280926490112 22902982813440 23209298427200 23499414657540 25066042301376 25447758681600 26110460730600 27483579376128 27851158112640 28199297589048 28628728516800 29374268321925 31332552876720 33421389735168 34354474220160 34813947640800 35249121986310 37134877483520 37599063452064 38171638022400 39165691095900 41776737168960 42298946383572 42943092775200 45805965626880 46418596854400 46998829315080 50132084602752 52220921461200 52873682979465 55702316225280 56398595178096 57257457033600 58748536643850 62665105753440 66842779470336 68708948440320 69627895281600 70498243972620 75198126904128 76343276044800 78331382191800 83553474337920 84597892767144 85886185550400 88122804965775 92837193708800 93997658630160 100264169205504 104441842922400 105747365958930 111404632450560 112797190356192 114514914067200 117497073287700 125330211506880 137417896880640 139255790563200 140996487945240 150396253808256 156662764383600 167106948675840 169195785534288 171772371100800 176245609931550 185674387417600 187995317260320 200528338411008 208883685844800 211494731917860 225594380712384 229029828134400 234994146575400 250660423013760 264368414897325 278511581126400 281992975890480 300792507616512 313325528767200 334213897351680 338391571068576 343544742201600 352491219863100 375990634520640 417767371689600 422989463835720 451188761424768 469988293150800 501320846027520 528736829794650 557023162252800 563985951780960 601585015233024 626651057534400 676783142137152 687089484403200 704982439726200 751981269041280 835534743379200 845978927671440 902377522849536 939976586301600 1002641692055040 1057473659589300 1127971903561920 1253302115068800 1353566284274304 1409964879452400 1503962538082560 1671069486758400 1691957855342880 1804755045699072 1879953172603200 2114947319178600 2255943807123840 2506604230137600 2707132568548608 2819929758904800 3007925076165120 3383915710685760 3759906345206400 4229894638357200 4511887614247680 5013208460275200 5414265137097216 5639859517809600 6767831421371520 7519812690412800 8459789276714400 9023775228495360 11279719035619200 13535662842743040 15039625380825600 16919578553428800 22559438071238400 27071325685486080 33839157106857600 45118876142476800 67678314213715200 135356628427430400
- Sum of all divisors σ(n): 505416129785461026
- Sum of proper divisors (its aliquot sum) s(n): 370059501358030626
- 135356628427430400 is an abundant number, because the sum of its proper divisors (370059501358030626) is greater than itself. Its abundance is 234702872930600226
Bases of 135356628427430400
- Binary: 1111000001110001000100010111010110110100101011010000000002
- Hexadecimal: 0x1E0E222EB695A00
- Base-36: 110RX4O14000
Squares and roots of 135356628427430400
- 135356628427430400 squared (1353566284274304002) is 18321416859241459480079146844160000
- 135356628427430400 cubed (1353566284274304003) is 2479925214080405129734467212096360859738046464000000
-
The
square root of 135356628427430400 is 367908451.1497804667 -
The
cube root of 135356628427430400 is 513444.1098020101
Scales and comparisons
How big is 135356628427430400?- 135,356,628,427,430,400 seconds is equal to 4,303,922,098 years, 23 weeks, 3 days.
-
To count from 1 to 135,356,628,427,430,400 would take you about twelve billion, nine hundred eleven million, seven hundred sixty-six thousand, two hundred ninety-five 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 135356628427430400 cubic inches would be around 42787 feet tall.
Recreational maths with 135356628427430400
- 135356628427430400 backwards is 004034724826653531
- The number of decimal digits it has is: 18
- The sum of 135356628427430400's digits is 63
- More coming soon!
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"Number 135356628427430400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 135356628427430400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/135356628427430400/
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The information we have on file for 135356628427430400 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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