134128716134400
134,128,716,134,400 is an even composite number composed of six prime numbers multiplied together.
134128716134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 134128716134400:
211 × 33 × 52 × 13 × 113 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 113 × 257 × 257)See below for interesting mathematical facts about the number 134128716134400 from the Numbermatics database.
Names of 134128716134400
- Cardinal: 134128716134400 can be written as One hundred thirty-four trillion, one hundred twenty-eight billion, seven hundred sixteen million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.341287161344 × 1014
Factors of 134128716134400
Divisors of 134128716134400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 113 117 120 128 130 135 144 150 156 160 180 192 195 200 208 216 225 226 234 240 256 257 260 270 288 300 312 320 325 339 351 360 384 390 400 416 432 450 452 468 480 512 514 520 540 565 576 585 600 624 640 650 675 678 702 720 768 771 780 800 832 864 900 904 936 960 975 1017 1024 1028 1040 1080 1130 1152 1170 1200 1248 1280 1285 1300 1350 1356 1404 1440 1469 1536 1542 1560 1600 1664 1695 1728 1755 1800 1808 1872 1920 1950 2034 2048 2056 2080 2160 2260 2304 2313 2340 2400 2496 2560 2570 2600 2700 2712 2808 2825 2880 2925 2938 3051 3072 3084 3120 3200 3328 3341 3390 3456 3510 3600 3616 3744 3840 3855 3900 4068 4112 4160 4320 4407 4520 4608 4626 4680 4800 4992 5085 5120 5140 5200 5400 5424 5616 5650 5760 5850 5876 6102 6144 6168 6240 6400 6425 6656 6682 6780 6912 6939 7020 7200 7232 7345 7488 7680 7710 7800 8136 8224 8320 8475 8640 8775 8814 9040 9216 9252 9360 9600 9984 10023 10170 10240 10280 10400 10800 10848 11232 11300 11520 11565 11700 11752 12204 12336 12480 12800 12850 13221 13312 13364 13560 13824 13878 14040 14400 14464 14690 14976 15255 15360 15420 15600 16272 16448 16640 16705 16950 17280 17550 17628 18080 18432 18504 18720 19200 19275 19968 20046 20340 20560 20800 21600 21696 22035 22464 22600 23040 23130 23400 23504 24408 24672 24960 25425 25600 25700 26442 26624 26728 27120 27648 27756 28080 28800 28928 29041 29380 29952 30069 30510 30720 30840 31200 32544 32896 33280 33410 33900 34560 34695 35100 35256 36160 36725 37008 37440 38400 38550 39663 39936 40092 40680 41120 41600 43200 43392 44070 44928 45200 46080 46260 46800 47008 48816 49344 49920 50115 50850 51200 51400 52884 53456 54240 55296 55512 56160 57600 57825 57856 58082 58760 59904 60138 61020 61680 62400 65088 65792 66049 66105 66560 66820 67800 69120 69390 70200 70512 72320 73450 74016 74880 76275 76800 77100 79326 79872 80184 81360 82240 83200 83525 86400 86784 87123 88140 89856 90207 90400 92160 92520 93600 94016 97632 98688 99840 100230 101700 102800 105768 106912 108480 110175 111024 112320 115200 115650 115712 116164 117520 119808 120276 122040 123360 124800 130176 131584 132098 132210 133120 133640 135600 138240 138780 140400 141024 144640 145205 146900 148032 149760 150345 152550 153600 154200 158652 160368 162720 164480 166400 167050 172800 173475 173568 174246 176280 179712 180414 180800 185040 187200 188032 195264 197376 198147 198315 199680 200460 203400 205600 211536 213824 216960 220350 222048 224640 230400 231300 231424 232328 235040 239616 240552 244080 246720 249600 250575 260352 261369 263168 264196 264420 267280 271200 276480 277560 280800 282048 289280 290410 293800 296064 299520 300690 305100 308400 317304 320736 325440 328960 330245 330525 332800 334100 345600 346950 347136 348492 352560 359424 360828 361600 370080 374400 376064 377533 390528 394752 396294 396630 399360 400920 406800 411200 423072 427648 433920 435615 440700 444096 449280 451035 460800 462600 464656 470080 481104 488160 493440 499200 501150 520704 522738 526336 528392 528840 534560 542400 555120 561600 564096 578560 580820 587600 592128 594441 599040 601380 610200 616800 634608 641472 650880 657920 660490 661050 665600 668200 691200 693900 694272 696984 705120 718848 721656 723200 726025 740160 748800 751725 752128 755066 781056 784107 789504 792588 793260 801840 813600 822400 846144 855296 858637 867840 871230 881400 888192 898560 902070 925200 929312 940160 962208 976320 986880 990735 991575 998400 1002300 1041408 1045476 1056784 1057680 1069120 1084800 1110240 1123200 1128192 1132599 1157120 1161640 1175200 1184256 1188882 1198080 1202760 1220400 1233600 1269216 1282944 1301760 1306845 1315840 1320980 1322100 1336400 1382400 1387800 1393968 1410240 1443312 1446400 1452050 1480320 1497600 1503450 1504256 1510132 1562112 1568214 1579008 1585176 1586520 1603680 1627200 1644800 1651225 1692288 1710592 1717274 1735680 1742460 1762800 1776384 1783323 1797120 1804140 1850400 1858624 1880320 1887665 1924416 1952640 1973760 1981470 1983150 1996800 2004600 2082816 2090952 2113568 2115360 2138240 2169600 2178075 2220480 2246400 2255175 2256384 2265198 2323280 2350400 2368512 2377764 2405520 2440800 2467200 2538432 2565888 2575911 2603520 2613690 2631680 2641960 2644200 2672800 2775600 2787936 2820480 2886624 2892800 2904100 2960640 2972205 2995200 3006900 3008512 3020264 3124224 3136428 3170352 3173040 3207360 3254400 3289600 3302450 3384576 3397797 3421184 3434548 3471360 3484920 3525600 3552768 3566646 3594240 3608280 3700800 3717248 3760640 3775330 3848832 3905280 3920535 3947520 3962940 3966300 4009200 4181904 4227136 4230720 4276480 4293185 4339200 4356150 4440960 4492800 4510350 4512768 4530396 4646560 4700800 4737024 4755528 4811040 4881600 4934400 4953675 5076864 5131776 5151822 5207040 5227380 5283920 5288400 5345600 5551200 5575872 5640960 5662995 5773248 5785600 5808200 5921280 5944410 5990400 6013800 6040528 6248448 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57066336 57732480 59212800 59444100 59475968 59708296 60405280 61581312 61821864 62728560 63407040 63460800 64147200 64397775 66910464 67171833 67634176 67691520 67955940 68690960 69698400 71055360 71332920 72165600 72486336 74344960 74635370 75212800 75506600 76088448 76976640 77277330 78105600 78410700 79258800 81229824 81547128 82429152 83638080 84542720 84614400 84944925 85529600 85863700 88819200 89166150 89213952 89562444 90607920 92371968 92732796 92931200 95110560 96220800 96648448 97025981 100365696 101451264 101537280 101933910 102635520 103036440 104547600 105678400 108729504 109905536 111517440 111953055 112819200 113259900 114132672 115464960 115915995 118425600 118888200 119416592 120810560 123643728 125457120 126814080 126921600 128294400 128795550 133820928 134343666 135268352 135383040 135911880 137381920 139396800 142665840 144331200 144972672 148689920 149270740 151013200 152176896 153953280 154554660 156211200 156821400 158517600 163094256 164858304 167276160 169085440 169228800 169889850 171059200 171727400 177638400 178332300 178427904 179124888 181215840 184743936 185465592 185862400 186588425 190221120 192441600 193193325 193296896 194051962 200731392 201515499 202902528 203074560 203867820 206072880 209095200 211356800 217459008 219811072 223034880 223906110 225638400 226519800 228265344 230929920 231831990 237776400 238833184 241621120 247287456 250914240 253628160 253843200 254834775 256588800 257591100 267641856 268687332 271823760 274763840 278793600 285331680 288662400 289945344 291077943 297379840 298541480 302026400 304353792 307906560 309109320 313642800 317035200 326188512 329716608 334552320 335859165 338170880 338457600 339779700 343454800 355276800 356664600 358249776 362431680 370931184 371724800 373176850 380442240 384883200 386386650 386593792 388103924 401462784 403030998 405805056 406149120 407735640 412145760 418190400 422713600 434918016 439622144 446069760 447812220 453039600 456530688 461859840 463663980 475552800 477666368 483242240 485129905 494574912 501828480 507256320 507686400 509669550 513177600 515182200 535283712 537374664 543647520 549527680 557587200 559765275 570663360 577324800 579579975 579890688 582155886 597082960 604052800 608707584 618218640 627285600 634070400 652377024 659433216 669104640 671718330 676341760 676915200 679559400 686909600 713329200 716499552 724863360 741862368 743449600 746353700 760884480 769766400 772773300 773187584 776207848 802925568 806061996 815471280 824291520 836380800 845427200 869836032 873233829 879244288 892139520 895624440 906079200 913061376 923719680 927327960 951105600 955332736 966484480 970259810 989149824 1003656960 1007577495 1014512640 1015372800 1019339100 1030364400 1074749328 1087295040 1099055360 1115174400 1119530550 1141326720 1154649600 1159159950 1159781376 1164311772 1194165920 1208105600 1217415168 1236437280 1254571200 1268140800 1304754048 1318866432 1338209280 1343436660 1359118800 1373819200 1426658400 1432999104 1449726720 1455389715 1483724736 1486899200 1492707400 1521768960 1539532800 1545546600 1552415696 1605851136 1612123992 1630942560 1648583040 1672761600 1679295825 1690854400 1739672064 1746467658 1758488576 1791248880 1812158400 1826122752 1854655920 1902211200 1910665472 1932968960 1940519620 1978299648 2007313920 2015154990 2029025280 2030745600 2038678200 2060728800 2149498656 2174590080 2198110720 2230348800 2239061100 2282653440 2309299200 2318319900 2319562752 2328623544 2388331840 2416211200 2425649525 2472874560 2509142400 2536281600 2609508096 2619701487 2637732864 2676418560 2686873320 2718237600 2747638400 2853316800 2865998208 2899453440 2910779430 2967449472 2985414800 3043537920 3091093200 3104831392 3224247984 3261885120 3297166080 3345523200 3358591650 3381708800 3479344128 3492935316 3582497760 3624316800 3652245504 3709311840 3804422400 3821330944 3865937920 3881039240 3956599296 4014627840 4030309980 4077356400 4121457600 4298997312 4349180160 4366169145 4396221440 4460697600 4478122200 4565306880 4618598400 4636639800 4657247088 4776663680 4832422400 4851299050 4945749120 5018284800 5037887475 5072563200 5219016192 5239402974 5275465728 5373746640 5436475200 5495276800 5706633600 5731996416 5798906880 5821558860 5934898944 5970829600 6087075840 6182186400 6209662784 6448495968 6523770240 6594332160 6691046400 6717183300 6958688256 6985870632 7164995520 7248633600 7276948575 7418623680 7608844800 7642661888 7762078480 7913198592 8029255680 8060619960 8154712800 8242915200 8597994624 8698360320 8732338290 8792442880 8956244400 9130613760 9273279600 9314494176 9553327360 9664844800 9702598100 9891498240 10036569600 10075774950 10145126400 10438032384 10478805948 10747493280 10872950400 10990553600 11413267200 11463992832 11597813760 11643117720 11869797888 11941659200 12364372800 12419325568 12896991936 13047540480 13098507435 13188664320 13382092800 13434366600 13971741264 14329991040 14497267200 14553897150 14837247360 15217689600 15285323776 15524156960 15826397184 16121239920 16309425600 16485830400 17195989248 17396720640 17464676580 17912488800 18261227520 18546559200 18628988352 19106654720 19329689600 19405196200 19782996480 20073139200 20151549900 20876064768 20957611896 21494986560 21745900800 21830845725 21981107200 22826534400 22927985664 23286235440 23739595776 23883318400 24728745600 24838651136 25793983872 26095080960 26197014870 26377328640 26868733200 27943482528 28659982080 28994534400 29107794300 29674494720 30435379200 31048313920 32242479840 32618851200 32971660800 34391978496 34793441280 34929353160 35824977600 37093118400 37257976704 38213309440 38810392400 39565992960 40146278400 40303099800 41915223792 42989973120 43491801600 43661691450 43962214400 45653068800 45855971328 46572470880 47479191552 47766636800 49457491200 49677302272 51587967744 52190161920 52394029740 53737466400 55886965056 57319964160 57989068800 58215588600 59348989440 62096627840 64484959680 65237702400 65492537175 65943321600 68783956992 69858706320 71649955200 74186236800 74515953408 76426618880 77620784800 79131985920 80606199600 83830447584 85979946240 86983603200 87323382900 91306137600 93144941760 95533273600 98914982400 99354604544 103175935488 104380323840 104788059480 107474932800 111773930112 114639928320 116431177200 118697978880 124193255680 128969919360 130475404800 130985074350 131886643200 137567913984 139717412640 143299910400 148372473600 149031906816 155241569600 161212399200 167660895168 171959892480 173967206400 174646765800 186289883520 191066547200 197829964800 198709209088 206351870976 209576118960 214949865600 223547860224 229279856640 232862354400 237395957760 248386511360 257939838720 260950809600 261970148700 279434825280 286599820800 296744947200 298063813632 310483139200 322424798400 335321790336 343919784960 349293531600 372579767040 382133094400 395659929600 412703741952 419152237920 429899731200 447095720448 465724708800 496773022720 515879677440 521901619200 523940297400 558869650560 573199641600 593489894400 596127627264 620966278400 644849596800 670643580672 687839569920 698587063200 745159534080 838304475840 859799462400 894191440896 931449417600 993546045440 1031759354880 1047880594800 1117739301120 1146399283200 1186979788800 1241932556800 1289699193600 1341287161344 1397174126400 1490319068160 1676608951680 1719598924800 1788382881792 1862898835200 2063518709760 2095761189600 2235478602240 2483865113600 2579398387200 2682574322688 2794348252800 2980638136320 3353217903360 3439197849600 3725797670400 4191522379200 4470957204480 4967730227200 5158796774400 5365148645376 5588696505600 6706435806720 7451595340800 8383044758400 8941914408960 10317593548800 11177393011200 13412871613440 14903190681600 16766089516800 22354786022400 26825743226880 33532179033600 44709572044800 67064358067200 134128716134400
- Sum of all divisors σ(n): 537363120621600
- Sum of proper divisors (its aliquot sum) s(n): 403234404487200
- 134128716134400 is an abundant number, because the sum of its proper divisors (403234404487200) is greater than itself. Its abundance is 269105688352800
Bases of 134128716134400
- Binary: 111100111111101010001100111101010111000000000002
- Hexadecimal: 0x79FD467AB800
- Base-36: 1BJLVQHHC0
Squares and roots of 134128716134400
- 134128716134400 squared (1341287161344002) is 17990512491862454878863360000
- 134128716134400 cubed (1341287161344003) is 2413044343133396400416191951964995584000000
-
The
square root of 134128716134400 is 11581395.2585342669 -
The
cube root of 134128716134400 is 51188.6790529741
Scales and comparisons
How big is 134128716134400?- 134,128,716,134,400 seconds is equal to 4,264,878 years, 14 weeks, 6 days.
-
To count from 1 to 134,128,716,134,400 would take you about ten million, six hundred sixty-two thousand, one 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 134128716134400 cubic inches would be around 4265.7 feet tall.
Recreational maths with 134128716134400
- 134128716134400 backwards is 004431617821431
- 134128716134400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134128716134400's digits is 45
- More coming soon!
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"Number 134128716134400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 134128716134400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/134128716134400/
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The information we have on file for 134128716134400 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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