138420932608000
138,420,932,608,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138420932608000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
138420932608000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138420932608000:
215 × 53 × 72 × 432 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 43 × 43 × 373)See below for interesting mathematical facts about the number 138420932608000 from the Numbermatics database.
Names of 138420932608000
- Cardinal: 138420932608000 can be written as One hundred thirty-eight trillion, four hundred twenty billion, nine hundred thirty-two million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.38420932608 × 1014
Factors of 138420932608000
Divisors of 138420932608000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 49 50 56 64 70 80 86 98 100 112 125 128 140 160 172 175 196 200 215 224 245 250 256 280 301 320 344 350 373 392 400 430 448 490 500 512 560 602 640 688 700 746 784 800 860 875 896 980 1000 1024 1075 1120 1204 1225 1280 1376 1400 1492 1505 1568 1600 1720 1750 1792 1849 1865 1960 2000 2048 2107 2150 2240 2408 2450 2560 2611 2752 2800 2984 3010 3136 3200 3440 3500 3584 3698 3730 3920 4000 4096 4214 4300 4480 4816 4900 5120 5222 5375 5504 5600 5968 6020 6125 6272 6400 6880 7000 7168 7396 7460 7525 7840 8000 8192 8428 8600 8960 9245 9325 9632 9800 10240 10444 10535 10750 11008 11200 11936 12040 12250 12544 12800 12943 13055 13760 14000 14336 14792 14920 15050 15680 16000 16039 16384 16856 17200 17920 18277 18490 18650 19264 19600 20480 20888 21070 21500 22016 22400 23872 24080 24500 25088 25600 25886 26110 27520 28000 28672 29584 29840 30100 31360 32000 32078 32768 33712 34400 35840 36554 36980 37300 37625 38528 39200 40960 41776 42140 43000 44032 44800 46225 46625 47744 48160 49000 50176 51200 51772 52220 52675 55040 56000 57344 59168 59680 60200 62720 64000 64156 64715 65275 67424 68800 71680 73108 73960 74600 75250 77056 78400 80195 81920 83552 84280 86000 88064 89600 90601 91385 92450 93250 95488 96320 98000 100352 102400 103544 104440 105350 110080 112000 112273 114688 118336 119360 120400 125440 128000 128312 129430 130550 134848 137600 143360 146216 147920 149200 150500 154112 156800 160390 163840 167104 168560 172000 176128 179200 181202 182770 184900 186500 190976 192640 196000 200704 204800 207088 208880 210700 220160 224000 224546 229376 231125 236672 238720 240800 250880 256000 256624 258860 261100 263375 269696 275200 286720 292432 295840 298400 301000 308224 313600 320780 323575 326375 334208 337120 344000 352256 358400 362404 365540 369800 373000 381952 385280 392000 400975 401408 409600 414176 417760 421400 440320 448000 449092 453005 456925 462250 473344 477440 481600 501760 512000 513248 517720 522200 526750 539392 550400 561365 573440 584864 591680 596800 602000 616448 627200 641560 647150 652750 668416 674240 688000 689677 704512 716800 724808 731080 739600 746000 763904 770560 784000 785911 801950 802816 819200 828352 835520 842800 880640 896000 898184 906010 913850 924500 946688 954880 963200 1003520 1024000 1026496 1035440 1044400 1053500 1078784 1100800 1122730 1146880 1169728 1183360 1193600 1204000 1232896 1254400 1283120 1294300 1305500 1336832 1348480 1376000 1379354 1409024 1433600 1449616 1462160 1479200 1492000 1527808 1541120 1568000 1571822 1603900 1605632 1617875 1656704 1671040 1685600 1761280 1792000 1796368 1812020 1827700 1849000 1893376 1909760 1926400 2004875 2007040 2048000 2052992 2070880 2088800 2107000 2157568 2201600 2245460 2265025 2284625 2339456 2366720 2387200 2408000 2465792 2508800 2566240 2588600 2611000 2673664 2696960 2752000 2758708 2806825 2867200 2899232 2924320 2958400 2984000 3055616 3082240 3136000 3143644 3207800 3235750 3313408 3342080 3371200 3448385 3522560 3584000 3592736 3624040 3655400 3698000 3786752 3819520 3852800 3929555 4009750 4014080 4096000 4105984 4141760 4177600 4214000 4315136 4403200 4490920 4530050 4569250 4678912 4733440 4774400 4816000 4827739 4931584 5017600 5132480 5177200 5222000 5347328 5393920 5504000 5517416 5613650 5734400 5798464 5848640 5916800 5968000 6111232 6164480 6272000 6287288 6415600 6471500 6626816 6684160 6742400 6896770 7045120 7168000 7185472 7248080 7310800 7396000 7573504 7639040 7705600 7859110 8019500 8028160 8211968 8283520 8355200 8428000 8630272 8806400 8981840 9060100 9138500 9357824 9466880 9548800 9632000 9655478 9863168 10035200 10264960 10354400 10444000 10694656 10787840 11008000 11034832 11227300 11325125 11596928 11697280 11833600 11936000 12222464 12328960 12544000 12574576 12831200 12943000 13253632 13368320 13484800 13793540 14034125 14336000 14370944 14496160 14621600 14792000 15147008 15278080 15411200 15718220 16039000 16423936 16567040 16710400 16856000 17241925 17260544 17612800 17963680 18120200 18277000 18715648 18933760 19097600 19264000 19310956 19647775 20070400 20529920 20708800 20888000 21389312 21575680 22016000 22069664 22454600 22650250 23193856 23394560 23667200 23872000 24138695 24657920 25088000 25149152 25662400 25886000 26507264 26736640 26969600 27587080 28068250 28672000 28741888 28992320 29243200 29584000 30294016 30556160 30822400 31436440 32078000 32847872 33134080 33420800 33712000 33794173 34483850 34521088 35225600 35927360 36240400 36554000 37431296 37867520 38195200 38528000 38621912 39295550 40140800 41059840 41417600 41776000 42778624 43151360 44032000 44139328 44909200 45300500 46387712 46789120 47334400 47744000 48277390 49315840 50176000 50298304 51324800 51772000 53014528 53473280 53939200 55174160 56136500 57483776 57984640 58486400 59168000 60588032 61112320 61644800 62872880 64156000 65695744 66268160 66841600 67424000 67588346 68967700 69042176 71854720 72480800 73108000 74862592 75735040 76390400 77056000 77243824 78591100 82119680 82835200 83552000 85557248 86209625 86302720 88064000 88278656 89818400 90601000 92775424 93578240 94668800 95488000 96554780 98238875 100352000 100596608 102649600 103544000 106029056 106946560 107878400 110348320 112273000 114967552 115969280 116972800 118336000 120693475 123289600 125745760 128312000 131391488 132536320 133683200 134848000 135176692 137935400 143709440 144961600 146216000 149725184 151470080 152780800 154112000 154487648 157182200 164239360 165670400 167104000 168970865 172419250 172605440 176128000 176557312 179636800 181202000 185550848 187156480 189337600 190976000 193109560 196477750 200704000 201193216 205299200 207088000 212058112 213893120 215756800 220696640 224546000 229935104 231938560 233945600 236672000 241386950 246579200 251491520 256624000 262782976 265072640 267366400 269696000 270353384 275870800 287418880 289923200 292432000 299450368 302940160 305561600 308224000 308975296 314364400 328478720 331340800 334208000 337941730 344838500 345210880 353114624 359273600 362404000 371101696 374312960 378675200 381952000 386219120 392955500 402386432 410598400 414176000 424116224 427786240 431513600 441393280 449092000 459870208 463877120 467891200 473344000 482773900 502983040 513248000 525565952 530145280 534732800 539392000 540706768 551741600 574837760 579846400 584864000 598900736 603467375 616448000 617950592 628728800 656957440 662681600 668416000 675883460 689677000 706229248 718547200 724808000 742203392 748625920 757350400 763904000 772438240 785911000 804772864 821196800 828352000 844854325 863027200 882786560 898184000 919740416 927754240 935782400 946688000 965547800 1005966080 1026496000 1060290560 1069465600 1078784000 1081413536 1103483200 1149675520 1159692800 1169728000 1206934750 1232896000 1235901184 1257457600 1313914880 1325363200 1336832000 1351766920 1379354000 1412458496 1437094400 1449616000 1484406784 1497251840 1514700800 1527808000 1544876480 1571822000 1609545728 1642393600 1656704000 1689708650 1726054400 1765573120 1796368000 1839480832 1855508480 1871564800 1893376000 1931095600 2011932160 2052992000 2120581120 2138931200 2157568000 2162827072 2206966400 2299351040 2319385600 2339456000 2413869500 2471802368 2514915200 2627829760 2650726400 2673664000 2703533840 2758708000 2824916992 2874188800 2899232000 2968813568 2994503680 3089752960 3143644000 3219091456 3284787200 3313408000 3379417300 3531146240 3592736000 3678961664 3711016960 3743129600 3786752000 3862191200 4023864320 4105984000 4224271625 4315136000 4325654144 4413932800 4598702080 4638771200 4678912000 4827739000 4943604736 5029830400 5301452800 5347328000 5407067680 5517416000 5649833984 5748377600 5798464000 6179505920 6287288000 6438182912 6569574400 6626816000 6758834600 7062292480 7185472000 7422033920 7486259200 7573504000 7724382400 8047728640 8211968000 8448543250 8630272000 8651308288 8827865600 9197404160 9277542400 9357824000 9655478000 9887209472 10059660800 10602905600 10694656000 10814135360 11034832000 11299667968 11496755200 11596928000 12359011840 12574576000 12876365824 13139148800 13253632000 13517669200 14124584960 14370944000 14844067840 14972518400 15448764800 16095457280 16423936000 16897086500 17302616576 17655731200 18394808320 18555084800 18715648000 19310956000 19774418944 20119321600 21628270720 22069664000 22599335936 22993510400 23193856000 24718023680 25149152000 25752731648 26507264000 27035338400 28249169920 28741888000 30897529600 32190914560 32847872000 33794173000 34605233152 35311462400 37110169600 37431296000 38621912000 39548837888 40238643200 43256541440 44139328000 45987020800 46387712000 49436047360 50298304000 53014528000 54070676800 56498339840 57483776000 61795059200 64381829120 65695744000 67588346000 69210466304 70622924800 74220339200 74862592000 77243824000 79097675776 80477286400 86513082880 88278656000 91974041600 92775424000 98872094720 100596608000 108141353600 112996679680 114967552000 123590118400 128763658240 135176692000 138420932608 141245849600 154487648000 158195351552 160954572800 173026165760 176557312000 185550848000 197744189440 201193216000 216282707200 229935104000 247180236800 270353384000 276841865216 282491699200 308975296000 321909145600 346052331520 353114624000 371101696000 395488378880 402386432000 432565414400 459870208000 494360473600 540706768000 553683730432 564983398400 617950592000 643818291200 692104663040 706229248000 790976757760 804772864000 865130828800 988720947200 1081413536000 1107367460864 1235901184000 1384209326080 1412458496000 1609545728000 1730261657600 1977441894400 2162827072000 2471802368000 2768418652160 2824916992000 3219091456000 3460523315200 3954883788800 4325654144000 4943604736000 5536837304320 6921046630400 8651308288000 9887209472000 13842093260800 17302616576000 19774418944000 27684186521600 34605233152000 69210466304000 138420932608000
- Sum of all divisors σ(n): 412567462490040
- Sum of proper divisors (its aliquot sum) s(n): 274146529882040
- 138420932608000 is an abundant number, because the sum of its proper divisors (274146529882040) is greater than itself. Its abundance is 135725597274040
Bases of 138420932608000
- Binary: 111110111100100101000101000010010000000000000002
- Hexadecimal: 0x7DE4A2848000
- Base-36: 1D2DP5COHS
Squares and roots of 138420932608000
- 138420932608000 squared (1384209326080002) is 19160354584068477681664000000
- 138420932608000 cubed (1384209326080003) is 2652194150626726619630764621299712000000000
-
The
square root of 138420932608000 is 11765242.5647752797 -
The
cube root of 138420932608000 is 51728.9810299157
Scales and comparisons
How big is 138420932608000?- 138,420,932,608,000 seconds is equal to 4,401,357 years, 25 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,420,932,608,000 would take you about eleven million, three thousand, three hundred ninety-three 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 138420932608000 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138420932608000
- 138420932608000 backwards is 000806239024831
- The number of decimal digits it has is: 15
- The sum of 138420932608000's digits is 46
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138420932608000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138420932608000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138420932608000/
Chicago style:
Numbermatics. 2024. "Number 138420932608000 - Facts about the integer". https://numbermatics.com/n/138420932608000/
The information we have on file for 138420932608000 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!
Keywords: Divisors of 138420932608000, math, Factors of 138420932608000, curriculum, school, college, exams, university, Prime factorization of 138420932608000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred twenty billion, nine hundred thirty-two million, six hundred eight thousand.