138533838848000
138,533,838,848,000 is an even composite number composed of five prime numbers multiplied together.
138533838848000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 138533838848000:
216 × 53 × 17 × 53 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 53 × 137 × 137)See below for interesting mathematical facts about the number 138533838848000 from the Numbermatics database.
Names of 138533838848000
- Cardinal: 138533838848000 can be written as One hundred thirty-eight trillion, five hundred thirty-three billion, eight hundred thirty-eight million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38533838848 × 1014
Factors of 138533838848000
Divisors of 138533838848000
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 53 64 68 80 85 100 106 125 128 136 137 160 170 200 212 250 256 265 272 274 320 340 400 424 425 500 512 530 544 548 640 680 685 800 848 850 901 1000 1024 1060 1088 1096 1280 1325 1360 1370 1600 1696 1700 1802 2000 2048 2120 2125 2176 2192 2329 2560 2650 2720 2740 3200 3392 3400 3425 3604 4000 4096 4240 4250 4352 4384 4505 4658 5120 5300 5440 5480 6400 6625 6784 6800 6850 7208 7261 8000 8192 8480 8500 8704 8768 9010 9316 10240 10600 10880 10960 11645 12800 13250 13568 13600 13700 14416 14522 16000 16384 16960 17000 17125 17408 17536 18020 18632 18769 20480 21200 21760 21920 22525 23290 25600 26500 27136 27200 27400 28832 29044 32000 32768 33920 34000 34250 34816 35072 36040 36305 37264 37538 40960 42400 43520 43840 45050 46580 51200 53000 54272 54400 54800 57664 58088 58225 64000 65536 67840 68000 68500 69632 70144 72080 72610 74528 75076 81920 84800 87040 87680 90100 93160 93845 102400 106000 108544 108800 109600 112625 115328 116176 116450 123437 128000 135680 136000 137000 139264 140288 144160 145220 149056 150152 163840 169600 174080 175360 180200 181525 186320 187690 204800 212000 217088 217600 219200 225250 230656 232352 232900 246874 256000 271360 272000 274000 278528 280576 288320 290440 291125 298112 300304 319073 327680 339200 348160 350720 360400 363050 372640 375380 409600 424000 434176 435200 438400 450500 461312 464704 465800 469225 493748 512000 542720 544000 548000 557056 561152 576640 580880 582250 596224 600608 617185 638146 678400 696320 701440 720800 726100 745280 750760 819200 848000 868352 870400 876800 901000 907625 922624 929408 931600 938450 987496 994757 1024000 1085440 1088000 1096000 1114112 1122304 1153280 1161760 1164500 1192448 1201216 1234370 1276292 1356800 1392640 1402880 1441600 1452200 1490560 1501520 1595365 1638400 1696000 1736704 1740800 1753600 1802000 1815250 1845248 1858816 1863200 1876900 1974992 1989514 2048000 2170880 2176000 2192000 2244608 2306560 2323520 2329000 2346125 2384896 2402432 2468740 2552584 2713600 2785280 2805760 2883200 2904400 2981120 3003040 3085925 3190730 3392000 3473408 3481600 3507200 3604000 3630500 3690496 3717632 3726400 3753800 3949984 3979028 4096000 4341760 4352000 4384000 4489216 4613120 4647040 4658000 4692250 4769792 4804864 4937480 4973785 5105168 5427200 5570560 5611520 5766400 5808800 5962240 6006080 6171850 6381460 6784000 6963200 7014400 7208000 7261000 7380992 7435264 7452800 7507600 7899968 7958056 7976825 8192000 8683520 8704000 8768000 8978432 9226240 9294080 9316000 9384500 9539584 9609728 9874960 9947570 10210336 10854400 11223040 11532800 11617600 11924480 12012160 12343700 12762920 13568000 13926400 14028800 14416000 14522000 14761984 14870528 14905600 15015200 15429625 15799936 15916112 15953650 16910869 17367040 17408000 17536000 18452480 18588160 18632000 18769000 19079168 19219456 19749920 19895140 20420672 21708800 22446080 23065600 23235200 23848960 24024320 24687400 24868925 25525840 27136000 27852800 28057600 28832000 29044000 29523968 29741056 29811200 30030400 30859250 31599872 31832224 31907300 33821738 34816000 35072000 36904960 37176320 37264000 37538000 38158336 38438912 39499840 39790280 39884125 40841344 43417600 44892160 46131200 46470400 47697920 48048640 49374800 49737850 51051680 54272000 56115200 57664000 58088000 59047936 59482112 59622400 60060800 61718500 63199744 63664448 63814600 67643476 69632000 70144000 73809920 74352640 74528000 75076000 76316672 76877824 78999680 79580560 79768250 81682688 84554345 86835200 92262400 92940800 95395840 96097280 98749600 99475700 102103360 108544000 112230400 115328000 116176000 118964224 119244800 120121600 123437000 124344625 126399488 127328896 127629200 135286952 139264000 140288000 147619840 148705280 149056000 150152000 152633344 153755648 157999360 159161120 159536500 163365376 169108690 184524800 185881600 190791680 192194560 197499200 198951400 204206720 217088000 224460800 230656000 232352000 237928448 238489600 240243200 246874000 248689250 252798976 254657792 255258400 270573904 280576000 295239680 297410560 298112000 300304000 307511296 315998720 318322240 319073000 326730752 338217380 369049600 371763200 381583360 384389120 394998400 397902800 408413440 422771725 434176000 461312000 464704000 475856896 476979200 480486400 493748000 497378500 505597952 509315584 510516800 541147808 561152000 594821120 596224000 600608000 615022592 631997440 636644480 638146000 653461504 676434760 738099200 743526400 763166720 768778240 789996800 795805600 816826880 845543450 922624000 929408000 953958400 960972800 987496000 994757000 1011195904 1018631168 1021033600 1082295616 1122304000 1189642240 1192448000 1201216000 1230045184 1263994880 1273288960 1276292000 1306923008 1352869520 1476198400 1487052800 1537556480 1579993600 1591611200 1633653760 1691086900 1845248000 1858816000 1907916800 1921945600 1974992000 1989514000 2022391808 2037262336 2042067200 2113858625 2164591232 2379284480 2384896000 2402432000 2527989760 2546577920 2552584000 2613846016 2705739040 2974105600 3075112960 3159987200 3183222400 3267307520 3382173800 3690496000 3717632000 3815833600 3843891200 3949984000 3979028000 4044783616 4074524672 4084134400 4227717250 4329182464 4769792000 4804864000 5055979520 5093155840 5105168000 5227692032 5411478080 5948211200 6150225920 6319974400 6366444800 6534615040 6764347600 7380992000 7435264000 7687782400 7899968000 7958056000 8089567232 8149049344 8168268800 8455434500 8658364928 9539584000 9609728000 10111959040 10186311680 10210336000 10455384064 10822956160 11896422400 12639948800 12732889600 13069230080 13528695200 14870528000 15375564800 15799936000 15916112000 16298098688 16336537600 16910869000 17316729856 19079168000 19219456000 20223918080 20372623360 20420672000 20910768128 21645912320 25279897600 25465779200 26138460160 27057390400 29741056000 30751129600 31599872000 31832224000 32596197376 32673075200 33821738000 34633459712 38438912000 40447836160 40745246720 40841344000 43291824640 50559795200 50931558400 52276920320 54114780800 59482112000 63199744000 63664448000 65192394752 65346150400 67643476000 69266919424 76877824000 81490493440 81682688000 86583649280 101119590400 101863116800 104553840640 108229561600 126399488000 127328896000 130692300800 135286952000 138533838848 153755648000 162980986880 163365376000 173167298560 202239180800 203726233600 216459123200 252798976000 254657792000 261384601600 270573904000 277067677696 325961973760 326730752000 346334597120 407452467200 432918246400 505597952000 509315584000 522769203200 541147808000 554135355392 653461504000 692669194240 814904934400 865836492800 1011195904000 1018631168000 1082295616000 1108270710784 1306923008000 1385338388480 1629809868800 1731672985600 2037262336000 2164591232000 2613846016000 2770676776960 3463345971200 4074524672000 4329182464000 5541353553920 6926691942400 8149049344000 8658364928000 13853383884800 17316729856000 27706767769600 34633459712000 69266919424000 138533838848000
- Sum of all divisors σ(n): 375768265685904
- Sum of proper divisors (its aliquot sum) s(n): 237234426837904
- 138533838848000 is an abundant number, because the sum of its proper divisors (237234426837904) is greater than itself. Its abundance is 98700587989904
Bases of 138533838848000
- Binary: 111110111111110111011000100000100000000000000002
- Hexadecimal: 0x7DFEEC410000
- Base-36: 1D3TKET8U8
Squares and roots of 138533838848000
- 138533838848000 squared (1385338388480002) is 19191624505963633967104000000
- 138533838848000 cubed (1385338388480003) is 2658689416540493682947244469256192000000000
-
The
square root of 138533838848000 is 11770039.8830250359 -
The
cube root of 138533838848000 is 51743.0418547969
Scales and comparisons
How big is 138533838848000?- 138,533,838,848,000 seconds is equal to 4,404,947 years, 29 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,533,838,848,000 would take you about eleven million, twelve thousand, three hundred 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 138533838848000 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138533838848000
- 138533838848000 backwards is 000848838335831
- The number of decimal digits it has is: 15
- The sum of 138533838848000's digits is 62
- 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 138533838848000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 138533838848000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138533838848000/
Chicago style:
Numbermatics. 2024. "Number 138533838848000 - Facts about the integer". https://numbermatics.com/n/138533838848000/
The information we have on file for 138533838848000 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 138533838848000, math, Factors of 138533838848000, curriculum, school, college, exams, university, Prime factorization of 138533838848000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-three billion, eight hundred thirty-eight million, eight hundred forty-eight thousand.