135300057168000
135,300,057,168,000 is an even composite number composed of seven prime numbers multiplied together.
135300057168000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 135300057168000:
27 × 3 × 53 × 71 × 181 × 421 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 71 × 181 × 421 × 521)See below for interesting mathematical facts about the number 135300057168000 from the Numbermatics database.
Names of 135300057168000
- Cardinal: 135300057168000 can be written as One hundred thirty-five trillion, three hundred billion, fifty-seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.35300057168 × 1014
Factors of 135300057168000
Divisors of 135300057168000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 71 75 80 96 100 120 125 128 142 150 160 181 192 200 213 240 250 284 300 320 355 362 375 384 400 421 426 480 500 521 543 568 600 640 710 724 750 800 842 852 905 960 1000 1042 1065 1086 1136 1200 1263 1420 1448 1500 1563 1600 1684 1704 1775 1810 1920 2000 2084 2105 2130 2172 2272 2400 2526 2605 2715 2840 2896 3000 3126 3200 3368 3408 3550 3620 4000 4168 4210 4260 4344 4525 4544 4800 5052 5210 5325 5430 5680 5792 6000 6252 6315 6736 6816 7100 7240 7815 8000 8336 8420 8520 8688 8875 9050 9088 9600 10104 10420 10525 10650 10860 11360 11584 12000 12504 12630 12851 13025 13472 13575 13632 14200 14480 15630 16000 16672 16840 17040 17376 17750 18100 20208 20840 21050 21300 21720 22625 22720 23168 24000 25008 25260 25702 26050 26625 26944 27150 27264 28400 28960 29891 31260 31575 33344 33680 34080 34752 35500 36200 36991 38553 39075 40416 41680 42100 42600 43440 45250 45440 48000 50016 50520 51404 52100 52625 53250 53888 54300 56800 57920 59782 62520 63150 64255 65125 66688 67360 67875 68160 69504 71000 72400 73982 76201 77106 78150 80832 83360 84200 85200 86880 89673 90500 94301 100032 101040 102808 104200 105250 106500 108600 110973 113600 115840 119564 125040 126300 128510 130250 134720 135750 136320 142000 144800 147964 149455 152402 154212 156300 157875 161664 166720 168400 170400 173760 179346 181000 184955 188602 192765 195375 200064 202080 205616 208400 210500 213000 217200 219341 221946 227200 228603 239128 250080 252600 257020 260500 269440 271500 282903 284000 289600 295928 298910 304804 308424 312600 315750 321275 333440 336800 340800 347520 358692 362000 369910 377204 381005 385530 390750 404160 411232 416800 421000 426000 434400 438682 443892 448365 457206 471505 478256 500160 505200 514040 521000 543000 554865 565806 568000 579200 591856 597820 609608 616848 625200 631500 642550 658023 673600 681600 717384 724000 739820 747275 754408 762010 771060 781500 808320 822464 833600 842000 852000 868800 877364 887784 896730 914412 924775 943010 956512 963825 1000320 1010400 1028080 1042000 1086000 1096705 1109730 1131612 1136000 1143015 1183712 1195640 1219216 1233696 1250400 1263000 1285100 1316046 1347200 1414515 1434768 1448000 1479640 1494550 1508816 1524020 1542120 1563000 1606375 1644928 1667200 1684000 1704000 1737600 1754728 1775568 1793460 1828824 1849550 1886020 1905025 1913024 1927650 2020800 2056160 2084000 2172000 2193410 2219460 2241825 2263224 2286030 2357525 2367424 2391280 2438432 2467392 2500800 2526000 2570200 2632092 2774325 2829030 2869536 2896000 2959280 2989100 3017632 3048040 3084240 3126000 3212750 3290115 3368000 3408000 3509456 3551136 3586920 3657648 3699100 3736375 3772040 3810050 3826048 3855300 4041600 4112320 4168000 4344000 4386820 4438920 4483650 4526448 4572060 4623875 4715050 4734848 4782560 4819125 4876864 4934784 5001600 5052000 5140400 5264184 5410271 5483525 5548650 5658060 5715075 5739072 5918560 5978200 6035264 6096080 6168480 6252000 6425500 6580230 6695371 6736000 7018912 7072575 7102272 7173840 7315296 7398200 7472750 7544080 7620100 7710600 8224640 8336000 8688000 8773640 8877840 8967300 9052896 9144120 9247750 9430100 9525125 9565120 9638250 9753728 10104000 10280800 10528368 10820542 10967050 11097300 11209125 11316120 11430150 11478144 11787625 11837120 11956400 12070528 12192160 12336960 12504000 12851000 13160460 13390742 13871625 14037824 14145150 14204544 14347680 14630592 14796400 14945500 15088160 15240200 15421200 15573211 16230813 16450575 17547280 17755680 17934600 18105792 18288240 18495500 18860200 19050250 19130240 19276500 20086113 20208000 20561600 21056736 21641084 21934100 22194600 22418250 22632240 22860300 23575250 23674240 23912800 24384320 24673920 25008000 25702000 26320920 26781484 27051355 27417625 27743250 28075648 28290300 28575375 28695360 29261184 29592800 29891000 30176320 30480400 30842400 31146422 32461626 32901150 33476855 35094560 35362875 35511360 35869200 36211584 36576480 36991000 37720400 38100500 38553000 39700721 40172226 41123200 42113472 43282168 43868200 44389200 44836500 45264480 45720600 46719633 47150500 47825600 48768640 51404000 52641840 53562968 54102710 54835250 55486500 56580600 57150750 57390720 59185600 59782000 60352640 60960800 61684800 62292844 64923252 65802300 66953710 70189120 70725750 71022720 71738400 73152960 73982000 75440800 76201000 77106000 77866055 79401442 80344452 81154065 82252875 84226944 86564336 87736400 88778400 89673000 90528960 91441200 93439266 94301000 95651200 100430565 102808000 105283680 107125936 108205420 109670500 110973000 113161200 114301500 118371200 119102163 119564000 121921600 123369600 124585688 129846504 131604600 133907420 135256775 140378240 141451500 143476800 146305920 147964000 150881600 152402000 154212000 155732110 158802884 160688904 162308130 164505750 167384275 173128672 175472800 177556800 179346000 181057920 182882400 186878532 188602000 198503605 200861130 205616000 210567360 214251872 216410840 219341000 221946000 226322400 228603000 233598165 238204326 239128000 243843200 249171376 259693008 263209200 267814840 270513550 282903000 286953600 295928000 301763200 304804000 308424000 311464220 317605768 321377808 324616260 329011500 334768550 346257344 350945600 355113600 358692000 365764800 373757064 377204000 389330275 397007210 401722260 405770325 421134720 428503744 432821680 438682000 443892000 452644800 457206000 467196330 476408652 478256000 498342752 502152825 519386016 526418400 535629680 541027100 565806000 591856000 595510815 609608000 616848000 622928440 635211536 642755616 649232520 658023000 669537100 676283875 692514688 701891200 717384000 731529600 747514128 754408000 778660550 794014420 803444520 811540650 836921375 857007488 865643360 877364000 887784000 905289600 914412000 934392660 952817304 992518025 996685504 1004305650 1038772032 1052836800 1071259360 1082054200 1131612000 1167990825 1191021630 1219216000 1245856880 1270423072 1285511232 1298465040 1316046000 1339074200 1352567750 1434768000 1495028256 1508816000 1557321100 1588028840 1606889040 1623081300 1673842750 1731286720 1754728000 1775568000 1828824000 1868785320 1905634608 1946651375 1985036050 1993371008 2008611300 2028851625 2077544064 2105673600 2142518720 2164108400 2263224000 2335981650 2382043260 2491713760 2510764125 2540846144 2571022464 2596930080 2632092000 2678148400 2705135500 2818751191 2977554075 2990056512 3114642200 3176057680 3213778080 3246162600 3347685500 3462573440 3509456000 3657648000 3737570640 3811269216 3893302750 3970072100 4017222600 4057703250 4285037440 4328216800 4526448000 4671963300 4764086520 4962590125 4983427520 5021528250 5081692288 5193860160 5264184000 5356296800 5410271000 5637502382 5839954125 5955108150 5980113024 6229284400 6352115360 6427556160 6492325200 6695371000 7475141280 7622538432 7786605500 7940144200 8034445200 8115406500 8456253573 8656433600 9343926600 9528173040 9925180250 9966855040 10043056500 10387720320 10528368000 10712593600 10820542000 11275004764 11679908250 11910216300 12458568800 12704230720 12855112320 12984650400 13390742000 14093755955 14887770375 14950282560 15245076864 15573211000 15880288400 16068890400 16230813000 16912507146 17312867200 18687853200 19056346080 19850360500 20086113000 21425187200 21641084000 22550009528 23359816500 23820432600 24917137600 25408461440 25969300800 26781484000 28187511910 29775540750 29900565120 31146422000 31760576800 32137780800 32461626000 33825014292 37375706400 38112692160 39700721000 40172226000 42281267865 43282168000 45100019056 46719633000 47640865200 49834275200 51938601600 53562968000 56375023820 59551081500 62292844000 63521153600 64275561600 64923252000 67650028584 70468779775 74751412800 76225384320 79401442000 80344452000 84562535730 86564336000 90200038112 93439266000 95281730400 107125936000 112750047640 119102163000 124585688000 127042307200 129846504000 135300057168 140937559550 149502825600 158802884000 160688904000 169125071460 180400076224 186878532000 190563460800 211406339325 225500095280 238204326000 249171376000 259693008000 270600114336 281875119100 317605768000 321377808000 338250142920 352343898875 360800152448 373757064000 381126921600 422812678650 451000190560 476408652000 541200228672 563750238200 635211536000 676500285840 704687797750 747514128000 845625357300 902000381120 952817304000 1057031696625 1082400457344 1127500476400 1353000571680 1409375595500 1691250714600 1804000762240 1905634608000 2114063393250 2255000952800 2706001143360 2818751191000 3382501429200 4228126786500 4510001905600 5412002286720 5637502382000 6765002858400 8456253573000 9020003811200 11275004764000 13530005716800 16912507146000 22550009528000 27060011433600 33825014292000 45100019056000 67650028584000 135300057168000
- Sum of all divisors σ(n): 459316036408320
- Sum of proper divisors (its aliquot sum) s(n): 324015979240320
- 135300057168000 is an abundant number, because the sum of its proper divisors (324015979240320) is greater than itself. Its abundance is 188715922072320
Bases of 135300057168000
- Binary: 111101100001101111111111101100001111000100000002
- Hexadecimal: 0x7B0DFFD87880
- Base-36: 1BYJZKOZ9C
Squares and roots of 135300057168000
- 135300057168000 squared (1353000571680002) is 18306105469664068180224000000
- 135300057168000 cubed (1353000571680003) is 2476817116568985914539756927045632000000000
-
The
square root of 135300057168000 is 11631855.2762661211 -
The
cube root of 135300057168000 is 51337.2569831985
Scales and comparisons
How big is 135300057168000?- 135,300,057,168,000 seconds is equal to 4,302,123 years, 15 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 135,300,057,168,000 would take you about ten million, seven hundred fifty-five thousand, three hundred 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 135300057168000 cubic inches would be around 4278.1 feet tall.
Recreational maths with 135300057168000
- 135300057168000 backwards is 000861750003531
- The number of decimal digits it has is: 15
- The sum of 135300057168000's digits is 39
- More coming soon!
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The information we have on file for 135300057168000 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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