138061128960000
138,061,128,960,000 is an even composite number composed of five prime numbers multiplied together.
138061128960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138061128960000:
211 × 32 × 54 × 17 × 893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 17 × 89 × 89 × 89)See below for interesting mathematical facts about the number 138061128960000 from the Numbermatics database.
Names of 138061128960000
- Cardinal: 138061128960000 can be written as One hundred thirty-eight trillion, sixty-one billion, one hundred twenty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3806112896 × 1014
Factors of 138061128960000
Divisors of 138061128960000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 89 90 96 100 102 120 125 128 136 144 150 153 160 170 178 180 192 200 204 225 240 250 255 256 267 272 288 300 306 320 340 356 360 375 384 400 408 425 445 450 480 500 510 512 534 544 576 600 612 625 640 680 712 720 750 765 768 800 801 816 850 890 900 960 1000 1020 1024 1068 1088 1125 1152 1200 1224 1250 1275 1280 1335 1360 1424 1440 1500 1513 1530 1536 1600 1602 1632 1700 1780 1800 1875 1920 2000 2040 2048 2125 2136 2176 2225 2250 2304 2400 2448 2500 2550 2560 2670 2720 2848 2880 3000 3026 3060 3072 3200 3204 3264 3400 3560 3600 3750 3825 3840 4000 4005 4080 4250 4272 4352 4450 4500 4539 4608 4800 4896 5000 5100 5120 5340 5440 5625 5696 5760 6000 6052 6120 6144 6375 6400 6408 6528 6675 6800 7120 7200 7500 7565 7650 7680 7921 8000 8010 8160 8500 8544 8704 8900 9000 9078 9216 9600 9792 10000 10200 10240 10625 10680 10880 11125 11250 11392 11520 12000 12104 12240 12750 12800 12816 13056 13350 13600 13617 14240 14400 15000 15130 15300 15360 15842 16000 16020 16320 17000 17088 17408 17800 18000 18156 18432 19125 19200 19584 20000 20025 20400 21250 21360 21760 22250 22500 22695 22784 23040 23763 24000 24208 24480 25500 25600 25632 26112 26700 27200 27234 28480 28800 30000 30260 30600 30720 31684 31875 32000 32040 32640 33375 34000 34176 34816 35600 36000 36312 37825 38250 38400 39168 39605 40000 40050 40800 42500 42720 43520 44500 45000 45390 45568 46080 47526 48000 48416 48960 51000 51200 51264 52224 53400 54400 54468 55625 56960 57600 60000 60520 61200 63368 63750 64000 64080 65280 66750 68000 68085 68352 71200 71289 72000 72624 75650 76500 76800 78336 79210 80000 80100 81600 85000 85440 87040 89000 90000 90780 91136 92160 95052 95625 96000 96832 97920 100125 102000 102528 104448 106800 108800 108936 111250 113475 113920 115200 118815 120000 121040 122400 126736 127500 128000 128160 130560 133500 134657 136000 136170 136704 142400 142578 144000 145248 151300 153000 153600 156672 158420 160000 160200 163200 166875 170000 170880 174080 178000 180000 181560 182272 189125 190104 191250 192000 193664 195840 198025 200250 204000 205056 213600 217600 217872 222500 226950 227840 230400 237630 240000 242080 244800 253472 255000 256000 256320 261120 267000 269314 272000 272340 273408 284800 285156 288000 290496 302600 306000 313344 316840 320000 320400 326400 333750 340000 340425 341760 356000 356445 360000 363120 378250 380208 382500 384000 387328 391680 396050 400500 403971 408000 410112 427200 435200 435744 445000 453900 455680 460800 475260 480000 484160 489600 500625 506944 510000 512640 522240 534000 538628 544000 544680 546816 567375 569600 570312 576000 580992 594075 605200 612000 633680 640000 640800 652800 667500 673285 680000 680850 683520 704969 712000 712890 720000 726240 756500 760416 765000 768000 774656 783360 792100 801000 807942 816000 820224 854400 870400 871488 890000 907800 911360 945625 950520 960000 968320 979200 990125 1001250 1013888 1020000 1025280 1068000 1077256 1088000 1089360 1134750 1139200 1140624 1152000 1161984 1188150 1210400 1211913 1224000 1267360 1280000 1281600 1305600 1335000 1346570 1360000 1361700 1367040 1409938 1424000 1425780 1440000 1452480 1513000 1520832 1530000 1549312 1566720 1584200 1602000 1615884 1632000 1640448 1702125 1708800 1742976 1780000 1782225 1815600 1891250 1901040 1920000 1936640 1958400 1980250 2002500 2019855 2027776 2040000 2050560 2114907 2136000 2154512 2176000 2178720 2269500 2278400 2281248 2304000 2323968 2376300 2420800 2423826 2448000 2534720 2563200 2611200 2670000 2693140 2720000 2723400 2734080 2819876 2836875 2848000 2851560 2880000 2904960 2970375 3026000 3041664 3060000 3098624 3168400 3204000 3231768 3264000 3366425 3404250 3417600 3485952 3524845 3560000 3564450 3631200 3782500 3802080 3840000 3873280 3916800 3960500 4005000 4039710 4055552 4080000 4101120 4229814 4272000 4309024 4352000 4357440 4539000 4556800 4562496 4647936 4752600 4841600 4847652 4896000 4950625 5069440 5126400 5340000 5386280 5440000 5446800 5639752 5673750 5696000 5703120 5760000 5809920 5940750 6052000 6059565 6083328 6120000 6336800 6344721 6408000 6463536 6528000 6732850 6808500 6835200 6971904 7049690 7120000 7128900 7262400 7565000 7604160 7746560 7833600 7921000 8010000 8079420 8111104 8160000 8202240 8459628 8510625 8544000 8618048 8714880 8911125 9078000 9124992 9295872 9505200 9683200 9695304 9792000 9901250 10099275 10138880 10252800 10574535 10680000 10772560 10880000 10893600 11279504 11347500 11392000 11406240 11520000 11619840 11881500 11984473 12104000 12119130 12166656 12240000 12673600 12689442 12816000 12927072 13056000 13465700 13617000 13670400 13943808 14099380 14240000 14257800 14524800 14851875 15130000 15208320 15493120 15842000 16020000 16158840 16222208 16320000 16832125 16919256 17021250 17088000 17236096 17429760 17624225 17822250 18156000 18249984 19010400 19366400 19390608 19584000 19802500 20198550 20277760 20505600 21149070 21360000 21545120 21760000 21787200 22559008 22695000 22784000 22812480 23239680 23763000 23968946 24208000 24238260 24333312 24480000 25347200 25378884 25632000 25854144 26931400 27234000 27887616 28198760 28480000 28515600 29049600 29703750 30260000 30297825 30416640 31684000 31723605 32040000 32317680 32640000 33664250 33838512 34042500 34176000 34472192 34859520 35248450 35644500 35953419 36312000 36499968 38020800 38732800 38781216 39168000 39605000 40397100 40555520 41011200 42298140 42720000 43090240 43574400 44555625 45118016 45390000 45624960 46479360 47526000 47937892 48416000 48476520 48666624 48960000 50496375 50694400 50757768 51264000 51708288 52872675 53862800 54468000 56397520 56960000 57031200 58099200 59407500 59922365 60520000 60595650 60833280 63368000 63447210 64080000 64635360 65280000 67328500 67677024 68085000 68352000 68944384 69719040 70496900 71289000 71906838 72624000 72999936 76041600 77465600 77562432 79210000 80794200 81111040 84160625 84596280 85440000 86180480 87148800 88121125 89111250 90236032 90780000 91249920 95052000 95875784 96832000 96953040 97920000 100992750 101388800 101515536 102528000 103416576 105745350 107725600 107860257 108936000 112795040 113920000 114062400 116198400 118815000 119844730 121040000 121191300 121666560 126736000 126894420 128160000 129270720 134657000 135354048 136170000 137888768 139438080 140993800 142578000 143813676 145248000 145999872 151489125 152083200 155124864 158420000 158618025 161588400 168321250 169192560 170880000 172360960 174297600 176242250 178222500 179767095 180472064 181560000 182499840 190104000 191751568 193664000 193906080 195840000 201985500 202777600 203031072 205056000 206833152 211490700 215451200 215720514 217872000 225590080 228124800 232396800 237630000 239689460 242080000 242382600 243333120 252481875 253472000 253788840 256320000 258541440 264363375 269314000 270708096 272340000 275777536 281987600 285156000 287627352 290496000 299611825 302978250 304166400 310249728 316840000 317236050 323176800 336642500 338385120 341760000 344721920 348595200 352484500 356445000 359534190 360944128 363120000 364999680 380208000 383503136 387328000 387812160 403971000 405555200 406062144 413666304 422981400 430902400 431441028 435744000 440605625 451180160 456249600 475260000 479378920 484160000 484765200 504963750 506944000 507577680 512640000 517082880 528726750 538628000 539301285 541416192 544680000 563975200 570312000 575254704 580992000 599223650 605956500 608332800 620499456 633680000 634472100 646353600 673285000 676770240 689443840 697190400 704969000 712890000 719068380 721888256 726240000 729999360 757445625 760416000 767006272 775624320 793090125 807942000 812124288 827332608 845962800 861804800 862882056 871488000 881211250 898835475 902360320 912499200 950520000 958757840 968320000 969530400 1009927500 1013888000 1015155360 1025280000 1034165760 1057453500 1077256000 1078602570 1082832384 1089360000 1127950400 1140624000 1150509408 1161984000 1198447300 1211913000 1216665600 1240998912 1267360000 1268944200 1292707200 1321816875 1346570000 1353540480 1378887680 1409938000 1425780000 1438136760 1443776512 1452480000 1498059125 1514891250 1520832000 1534012544 1551248640 1586180250 1615884000 1624248576 1691925600 1723609600 1725764112 1742976000 1762422500 1797670950 1804720640 1824998400 1901040000 1917515680 1936640000 1939060800 2019855000 2027776000 2030310720 2068331520 2114907000 2154512000 2157205140 2165664768 2178720000 2255900800 2281248000 2301018816 2396894600 2423826000 2481997824 2534720000 2537888400 2585414400 2643633750 2693140000 2696506425 2707080960 2819876000 2851560000 2876273520 2904960000 2996118250 3029782500 3041664000 3068025088 3102497280 3172360500 3231768000 3248497152 3383851200 3447219200 3451528224 3485952000 3524845000 3595341900 3609441280 3649996800 3802080000 3835031360 3878121600 3965450625 4039710000 4060621440 4136663040 4229814000 4309024000 4314410280 4331329536 4357440000 4494177375 4511801600 4562496000 4602037632 4793789200 4847652000 5069440000 5075776800 5170828800 5287267500 5386280000 5393012850 5414161920 5639752000 5703120000 5752547040 5809920000 5992236500 6059565000 6083328000 6136050176 6204994560 6344721000 6463536000 6496994304 6767702400 6894438400 6903056448 7049690000 7190683800 7218882560 7490295625 7604160000 7670062720 7756243200 7930901250 8079420000 8121242880 8459628000 8618048000 8628820560 8714880000 8988354750 9023603200 9124992000 9204075264 9587578400 9695304000 10138880000 10151553600 10341657600 10574535000 10772560000 10786025700 10828323840 11279504000 11406240000 11505094080 11984473000 12119130000 12272100352 12409989120 12689442000 12927072000 12993988608 13482532125 13535404800 13806112896 14099380000 14381367600 14980591250 15208320000 15340125440 15512486400 15861802500 16158840000 16242485760 16919256000 17236096000 17257641120 17429760000 17976709500 18047206400 18249984000 18408150528 19175156800 19390608000 20303107200 20683315200 21149070000 21545120000 21572051400 21656647680 22470886875 22559008000 22812480000 23010188160 23968946000 24238260000 24544200704 25378884000 25854144000 26965064250 27070809600 27612225792 28198760000 28762735200 29961182500 30416640000 30680250880 31024972800 31723605000 32317680000 32484971520 33838512000 34472192000 34515282240 35953419000 36094412800 36816301056 38350313600 38781216000 40606214400 42298140000 43090240000 43144102800 44941773750 45118016000 45624960000 46020376320 47937892000 48476520000 50757768000 51708288000 53930128500 54141619200 55224451584 56397520000 57525470400 59922365000 61360501760 62049945600 63447210000 64635360000 64969943040 67412660625 67677024000 69030564480 71906838000 73632602112 76700627200 77562432000 81212428800 84596280000 86180480000 86288205600 89883547500 90236032000 91249920000 92040752640 95875784000 96953040000 101515536000 103416576000 107860257000 108283238400 110448903168 112795040000 115050940800 119844730000 122721003520 126894420000 129270720000 134825321250 135354048000 138061128960 143813676000 153401254400 155124864000 162424857600 169192560000 172360960000 172576411200 179767095000 180472064000 184081505280 191751568000 193906080000 203031072000 215720514000 220897806336 225590080000 230101881600 239689460000 253788840000 258541440000 269650642500 270708096000 276122257920 287627352000 306802508800 310249728000 324849715200 338385120000 345152822400 359534190000 368163010560 383503136000 387812160000 406062144000 431441028000 451180160000 460203763200 479378920000 507577680000 517082880000 539301285000 541416192000 552244515840 575254704000 613605017600 676770240000 690305644800 719068380000 767006272000 775624320000 812124288000 862882056000 902360320000 920407526400 958757840000 1015155360000 1078602570000 1104489031680 1150509408000 1353540480000 1380611289600 1438136760000 1534012544000 1551248640000 1624248576000 1725764112000 1840815052800 1917515680000 2030310720000 2157205140000 2301018816000 2707080960000 2761222579200 2876273520000 3068025088000 3451528224000 3835031360000 4060621440000 4314410280000 4602037632000 5522445158400 5752547040000 6903056448000 7670062720000 8121242880000 8628820560000 9204075264000 11505094080000 13806112896000 15340125440000 17257641120000 23010188160000 27612225792000 34515282240000 46020376320000 69030564480000 138061128960000
- Sum of all divisors σ(n): 533578282637400
- Sum of proper divisors (its aliquot sum) s(n): 395517153677400
- 138061128960000 is an abundant number, because the sum of its proper divisors (395517153677400) is greater than itself. Its abundance is 257456024717400
Bases of 138061128960000
- Binary: 111110110010000110111001000110010001000000000002
- Hexadecimal: 0x7D90DC8C8800
- Base-36: 1CXSENJSW0
Squares and roots of 138061128960000
- 138061128960000 squared (1380611289600002) is 19060875329709750681600000000
- 138061128960000 cubed (1380611289600003) is 2631565966985540408221825499136000000000000
-
The
square root of 138061128960000 is 11749941.6577274971 -
The
cube root of 138061128960000 is 51684.1216635613
Scales and comparisons
How big is 138061128960000?- 138,061,128,960,000 seconds is equal to 4,389,916 years, 44 weeks, 1 day, 8 hours.
-
To count from 1 to 138,061,128,960,000 would take you about ten million, nine hundred seventy-four thousand, seven hundred ninety-two 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 138061128960000 cubic inches would be around 4307 feet tall.
Recreational maths with 138061128960000
- 138061128960000 backwards is 000069821160831
- 138061128960000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138061128960000's digits is 45
- 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 138061128960000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138061128960000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138061128960000/
Chicago style:
Numbermatics. 2024. "Number 138061128960000 - Facts about the integer". https://numbermatics.com/n/138061128960000/
The information we have on file for 138061128960000 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 138061128960000, math, Factors of 138061128960000, curriculum, school, college, exams, university, Prime factorization of 138061128960000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, sixty-one billion, one hundred twenty-eight million, nine hundred sixty thousand.