135102408447993600
135,102,408,447,993,600 is an even composite number composed of seven prime numbers multiplied together.
135102408447993600 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 135102408447993600:
28 × 3 × 52 × 17 × 83 × 20477 × 243539
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 83 × 20477 × 243539)See below for interesting mathematical facts about the number 135102408447993600 from the Numbermatics database.
Names of 135102408447993600
- Cardinal: 135102408447993600 can be written as One hundred thirty-five quadrillion, one hundred two trillion, four hundred eight billion, four hundred forty-seven million, nine hundred ninety-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.351024084479936 × 1017
Factors of 135102408447993600
Divisors of 135102408447993600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 83 85 96 100 102 120 128 136 150 160 166 170 192 200 204 240 249 255 256 272 300 320 332 340 384 400 408 415 425 480 498 510 544 600 640 664 680 768 800 816 830 850 960 996 1020 1088 1200 1245 1275 1280 1328 1360 1411 1600 1632 1660 1700 1920 1992 2040 2075 2176 2400 2490 2550 2656 2720 2822 3200 3264 3320 3400 3840 3984 4080 4150 4233 4352 4800 4980 5100 5312 5440 5644 6225 6400 6528 6640 6800 7055 7968 8160 8300 8466 9600 9960 10200 10624 10880 11288 12450 13056 13280 13600 14110 15936 16320 16600 16932 19200 19920 20400 20477 21165 21248 21760 22576 24900 26560 27200 28220 31872 32640 33200 33864 35275 39840 40800 40954 42330 45152 49800 53120 54400 56440 61431 63744 65280 66400 67728 70550 79680 81600 81908 84660 90304 99600 102385 105825 106240 108800 112880 122862 132800 135456 141100 159360 163200 163816 169320 180608 199200 204770 211650 225760 243539 245724 265600 270912 282200 307155 318720 326400 327632 338640 348109 361216 398400 409540 423300 451520 487078 491448 511925 531200 541824 564400 614310 655264 677280 696218 730617 796800 819080 846600 903040 974156 982896 1023850 1044327 1083648 1128800 1217695 1228620 1310528 1354560 1392436 1461234 1535775 1593600 1638160 1693200 1699591 1740545 1806080 1948312 1965792 2047700 2088654 2257600 2435390 2457240 2621056 2709120 2784872 2922468 3071550 3276320 3386400 3399182 3481090 3653085 3896624 3931584 4095400 4140163 4177308 4515200 4870780 4914480 5098773 5221635 5242112 5418240 5569744 5844936 6088475 6143100 6552640 6772800 6798364 6962180 7306170 7793248 7863168 8190800 8280326 8354616 8497955 8702725 9030400 9741560 9828960 10197546 10443270 11139488 11689872 12176950 12286200 12420489 13105280 13545600 13596728 13924360 14612340 15586496 15726336 16381600 16560652 16709232 16995910 17405450 18265425 19483120 19657920 20213737 20395092 20700815 20886540 22278976 23379744 24353900 24572400 24840978 25493865 26108175 26210560 27091200 27193456 27848720 28893047 29224680 31172992 32763200 33121304 33418464 33991820 34810900 36530850 38966240 39315840 40427474 40790184 41401630 41773080 42489775 44557952 46759488 48707800 49144800 49681956 50987730 52216350 54386912 55697440 57786094 58449360 60641211 62102445 62345984 65526400 66242608 66836928 67983640 69621800 73061700 77932480 78631680 80854948 81580368 82803260 83546160 84979550 86679141 89115904 93518976 97415600 98289600 99363912 101068685 101975460 103504075 104432700 108773824 111394880 115572188 116898720 121282422 124204890 127469325 131052800 132485216 133673856 135967280 139243600 144465235 146123400 155864960 161709896 163160736 165606520 167092320 169959100 173358282 187037952 194831200 196579200 198727824 202137370 203950920 207008150 208865400 217547648 222789760 231144376 233797440 242564844 248409780 254938650 264970432 267347712 271934560 278487200 288930470 292246800 303206055 310512225 311729920 323419792 326321472 331213040 334184640 339918200 343633529 346716564 389662400 393158400 397455648 404274740 407901840 414016300 417730800 433395705 435095296 445579520 462288752 467594880 485129688 496819560 505343425 509877300 529940864 543869120 556974400 577860940 584493600 606412110 621024450 646839584 652642944 662426080 668369280 679836400 687267058 693433128 722326175 779324800 794911296 808549480 815803680 828032600 835461600 866791410 924577504 935189760 970259376 993639120 1010686850 1019754600 1030900587 1059881728 1087738240 1113948800 1155721880 1168987200 1212824220 1242048900 1293679168 1305285888 1324852160 1336738560 1359672800 1374534116 1386866256 1444652350 1516030275 1558649600 1589822592 1617098960 1631607360 1656065200 1670923200 1718167645 1733582820 1849155008 1940518752 1987278240 2021373700 2039509200 2061801174 2166978525 2175476480 2227897600 2311443760 2337974400 2425648440 2484097800 2587358336 2649704320 2719345600 2749068232 2773732512 2889304700 3032060550 3179645184 3234197920 3263214720 3312130400 3341846400 3436335290 3467165640 3698310016 3881037504 3974556480 4042747400 4079018400 4123602348 4333957050 4622887520 4675948800 4851296880 4968195600 4986948103 5154502935 5174716672 5299408640 5438691200 5498136464 5547465024 5778609400 6064121100 6468395840 6526429440 6624260800 6683692800 6872670580 6934331280 7396620032 7762075008 7949112960 8085494800 8158036800 8247204696 8590838225 8667914100 9245775040 9702593760 9936391200 9973896206 10309005870 10877382400 10996272928 11094930048 11557218800 12128242200 12936791680 13248521600 13745341160 13868662560 14960844309 15524150016 15898225920 16170989600 16316073600 16494409392 17181676450 17335828200 18491550080 19405187520 19872782400 19947792412 20618011740 21992545856 22189860096 23114437600 24256484400 24934740515 25772514675 25873583360 26497043200 27490682320 27737325120 29921688618 32341979200 32632147200 32988818784 34363352900 34671656400 36983100160 38810375040 39745564800 39895584824 41236023480 43985091712 46228875200 48512968800 49869481030 51545029350 54981364640 55474650240 59843377236 64683958400 65977637568 68726705800 69343312800 74804221545 77620750080 79491129600 79791169648 82472046960 84778117751 87970183424 92457750400 97025937600 99738962060 103090058700 109962729280 110949300480 119686754472 124673702575 129367916800 131955275136 137453411600 138686625600 149608443090 159582339296 164944093920 169556235502 184915500800 194051875200 199477924120 206180117400 219925458560 239373508944 249347405150 254334353253 263910550272 274906823200 277373251200 299216886180 319164678592 329888187840 339112471004 374021107725 388103750400 398955848240 412360234800 413916692549 423890588755 439850917120 478747017888 498694810300 508668706506 549813646400 554746502400 598433772360 638329357184 659776375680 678224942008 748042215450 797911696480 824720469600 827833385098 847781177510 957494035776 997389620600 1017337413012 1099627292800 1196867544720 1241750077647 1271671766265 1276658714368 1319552751360 1356449884016 1496084430900 1595823392960 1649440939200 1655666770196 1695562355020 1914988071552 1994779241200 2034674826024 2069583462745 2119452943775 2199254585600 2393735089440 2483500155294 2543343532530 2712899768032 2992168861800 3191646785920 3298881878400 3311333540392 3391124710040 3829976143104 3989558482400 4069349652048 4139166925490 4238905887550 4787470178880 4967000310588 5086687065060 5425799536064 5984337723600 6208750388235 6358358831325 6383293571840 6597763756800 6622667080784 6782249420080 7036583773333 7979116964800 8138699304096 8278333850980 8477811775100 9574940357760 9934000621176 10173374130120 10347917313725 10851599072128 11968675447200 12417500776470 12716717662650 13245334161568 13564498840160 14073167546666 15958233929600 16277398608192 16556667701960 16955623550200 19149880715520 19868001242352 20346748260240 20695834627450 21109751319999 21703198144256 23937350894400 24835001552940 25433435325300 26490668323136 27128997680320 28146335093332 31043751941175 31916467859200 32554797216384 33113335403920 33911247100400 35182918866665 39736002484704 40693496520480 41391669254900 42219502639998 47874701788800 49670003105880 50866870650600 52981336646272 54257995360640 56292670186664 62087503882350 65109594432768 66226670807840 67822494200800 70365837733330 79472004969408 81386993040960 82783338509800 84439005279996 95749403577600 99340006211760 101733741301200 105548756599995 105962673292544 108515990721280 112585340373328 124175007764700 132453341615680 135644988401600 140731675466660 158944009938816 162773986081920 165566677019600 168878010559992 175914594333325 198680012423520 203467482602400 211097513199990 225170680746656 248350015529400 264906683231360 271289976803200 281463350933320 317888019877632 325547972163840 331133354039200 337756021119984 351829188666650 397360024847040 406934965204800 422195026399980 450341361493312 496700031058800 527743782999975 529813366462720 542579953606400 562926701866640 662266708078400 675512042239968 703658377333300 794720049694080 813869930409600 844390052799960 900682722986624 993400062117600 1055487565999950 1125853403733280 1324533416156800 1351024084479936 1407316754666600 1589440099388160 1627739860819200 1688780105599920 1801365445973248 1986800124235200 2110975131999900 2251706807466560 2649066832313600 2702048168959872 2814633509333200 3377560211199840 3973600248470400 4221950263999800 4503413614933120 5404096337919744 5629267018666400 6755120422399680 7947200496940800 8443900527999600 9006827229866240 11258534037332800 13510240844799360 16887801055999200 22517068074665600 27020481689598720 33775602111998400 45034136149331200 67551204223996800 135102408447993600
- Sum of all divisors σ(n): 477806679662780160
- Sum of proper divisors (its aliquot sum) s(n): 342704271214786560
- 135102408447993600 is an abundant number, because the sum of its proper divisors (342704271214786560) is greater than itself. Its abundance is 207601862766792960
Bases of 135102408447993600
- Binary: 1110111111111101011101100101101111101011110100111000000002
- Hexadecimal: 0x1DFFAECB7D7A700
- Base-36: 10Y9T1MD4B9C
Squares and roots of 135102408447993600
- 135102408447993600 squared (1351024084479936002) is 18252660768448492457875865640960000
- 135102408447993600 cubed (1351024084479936003) is 2465978430401596962264874563954816833289977856000000
-
The
square root of 135102408447993600 is 367562795.2445589943 -
The
cube root of 135102408447993600 is 513122.4667597245
Scales and comparisons
How big is 135102408447993600?- 135,102,408,447,993,600 seconds is equal to 4,295,838,689 years, 23 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 135,102,408,447,993,600 would take you about twelve billion, eight hundred eighty-seven million, five hundred sixteen thousand and sixty-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 135102408447993600 cubic inches would be around 42760.2 feet tall.
Recreational maths with 135102408447993600
- 135102408447993600 backwards is 006399744804201531
- The number of decimal digits it has is: 18
- The sum of 135102408447993600's digits is 66
- More coming soon!
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The information we have on file for 135102408447993600 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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