138987714048000
138,987,714,048,000 is an even composite number composed of six prime numbers multiplied together.
138987714048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138987714048000:
212 × 3 × 53 × 372 × 157 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 157 × 421)See below for interesting mathematical facts about the number 138987714048000 from the Numbermatics database.
Names of 138987714048000
- Cardinal: 138987714048000 can be written as One hundred thirty-eight trillion, nine hundred eighty-seven billion, seven hundred fourteen million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38987714048 × 1014
Factors of 138987714048000
Divisors of 138987714048000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 150 157 160 185 192 200 222 240 250 256 296 300 314 320 370 375 384 400 421 444 471 480 500 512 555 592 600 628 640 740 750 768 785 800 842 888 925 942 960 1000 1024 1110 1184 1200 1256 1263 1280 1369 1480 1500 1536 1570 1600 1684 1776 1850 1884 1920 2000 2048 2105 2220 2355 2368 2400 2512 2526 2560 2738 2775 2960 3000 3072 3140 3200 3368 3552 3700 3768 3840 3925 4000 4096 4107 4210 4440 4625 4710 4736 4800 5024 5052 5120 5476 5550 5809 5920 6000 6144 6280 6315 6400 6736 6845 7104 7400 7536 7680 7850 8000 8214 8420 8880 9250 9420 9472 9600 10048 10104 10240 10525 10952 11100 11618 11775 11840 12000 12288 12560 12630 12800 13472 13690 13875 14208 14800 15072 15360 15577 15700 16000 16428 16840 17427 17760 18500 18840 18944 19200 19625 20096 20208 20480 20535 21050 21904 22200 23236 23550 23680 24000 25120 25260 25600 26944 27380 27750 28416 29045 29600 30144 30720 31154 31400 31575 32000 32856 33680 34225 34854 35520 37000 37680 37888 38400 39250 40192 40416 41070 42100 43808 44400 46472 46731 47100 47360 48000 50240 50520 51200 52625 53888 54760 55500 56832 58090 58875 59200 60288 61440 62308 62800 63150 64000 65712 66097 67360 68450 69708 71040 74000 75360 75776 76800 77885 78500 80384 80832 82140 84200 87135 87616 88800 92944 93462 94200 94720 96000 100480 101040 102400 102675 105250 107776 109520 111000 113664 116180 117750 118400 120576 124616 125600 126300 128000 131424 132194 134720 136900 139416 142080 145225 148000 150720 151552 153600 155770 157000 157875 160768 161664 164280 168400 171125 174270 175232 177600 185888 186924 188400 189440 192000 198291 200960 202080 205350 210500 214933 215552 219040 222000 227328 232360 233655 235500 236800 241152 249232 251200 252600 256000 262848 264388 269440 273800 278832 284160 290450 296000 301440 307200 311540 314000 315750 321536 323328 328560 330485 336800 342250 348540 350464 355200 371776 373848 376800 378880 384000 389425 396582 401920 404160 410700 421000 429866 431104 435675 438080 444000 454656 464720 467310 471000 473600 482304 498464 502400 505200 512000 513375 525696 528776 538880 547600 557664 568320 576349 580900 592000 602880 623080 628000 631500 643072 644799 646656 657120 660970 673600 684500 697080 700928 710400 726125 743552 747696 753600 757760 768000 778850 793164 803840 808320 821400 842000 859732 862208 871350 876160 888000 929440 934620 942000 947200 964608 991455 996928 1004800 1010400 1026750 1051392 1057552 1074665 1077760 1095200 1115328 1136640 1152698 1161800 1168275 1184000 1205760 1246160 1256000 1263000 1289598 1293312 1314240 1321940 1347200 1369000 1394160 1401856 1420800 1452250 1487104 1495392 1507200 1536000 1557700 1586328 1607680 1616640 1642800 1652425 1684000 1719464 1724416 1729047 1742700 1752320 1776000 1858880 1869240 1884000 1894400 1929216 1947125 1982910 1993856 2009600 2020800 2053500 2102784 2115104 2149330 2155520 2178375 2190400 2230656 2273280 2305396 2323600 2336550 2368000 2411520 2445589 2492320 2512000 2526000 2579196 2586624 2628480 2643880 2694400 2738000 2788320 2803712 2841600 2881745 2904500 2974208 2990784 3014400 3115400 3172656 3215360 3223995 3233280 3285600 3304850 3368000 3438928 3458094 3485400 3504640 3552000 3717760 3738480 3768000 3788800 3894250 3965820 3987712 4019200 4041600 4107000 4205568 4230208 4298660 4311040 4356750 4380800 4461312 4610792 4647200 4673100 4736000 4823040 4891178 4957275 4984640 5024000 5052000 5158392 5173248 5256960 5287760 5373325 5388800 5476000 5576640 5607424 5683200 5763490 5809000 5841375 5948416 5981568 6028800 6230800 6345312 6447990 6466560 6571200 6609700 6736000 6877856 6916188 6970800 7009280 7104000 7336767 7435520 7476960 7536000 7788500 7931640 7975424 8038400 8083200 8214000 8262125 8411136 8460416 8597320 8622080 8645235 8713500 8761600 8922624 9221584 9294400 9346200 9472000 9646080 9782356 9914550 9969280 10048000 10104000 10316784 10513920 10575520 10746650 10777600 10952000 11153280 11366400 11526980 11618000 11682750 11896832 11963136 12057600 12227945 12461600 12690624 12895980 12933120 13142400 13219400 13472000 13755712 13832376 13941600 14018560 14208000 14408725 14673534 14871040 14953920 15072000 15577000 15863280 15950848 16076800 16119975 16166400 16428000 16524250 16822272 16920832 17194640 17290470 17427000 17523200 17845248 18443168 18588800 18692400 18944000 19564712 19829100 19938560 20096000 20208000 20633568 21027840 21151040 21493300 21555200 21904000 22306560 23053960 23236000 23365500 23793664 23926272 24115200 24455890 24786375 24923200 25381248 25791960 25866240 26284800 26438800 26866625 26944000 27511424 27664752 27883200 28037120 28416000 28817450 29347068 29742080 29907840 30144000 31154000 31726560 31901696 32239950 32332800 32856000 33048500 33841664 34389280 34580940 34854000 35046400 35690496 36683835 36886336 37177600 37384800 39129424 39658200 39877120 40192000 40416000 41267136 42055680 42302080 42986600 43110400 43226175 43808000 44613120 46107920 46472000 46731000 47852544 48230400 48911780 49572750 49846400 50762496 51583920 52569600 52877600 53733250 53888000 55022848 55329504 55766400 56832000 57634900 58694136 59484160 59815680 60288000 61139725 62308000 63453120 63803392 64479900 64665600 65712000 66097000 67683328 68778560 69161880 69708000 70092800 71380992 72043625 73367670 73772672 74355200 74769600 78258848 79316400 79754240 80384000 80599875 80832000 82534272 84111360 84604160 85973200 86452350 87616000 89226240 90486793 92215840 92944000 93462000 95705088 97823560 99145500 99692800 101524992 103167840 105139200 105755200 107466500 107776000 110045696 110659008 111532800 115269800 117388272 118968320 119631360 120576000 122279450 124616000 126906240 128959800 129331200 131424000 132194000 135366656 137557120 138323760 139416000 140185600 144087250 146735340 147545344 148710400 149539200 156517696 158632800 159508480 161199750 161664000 165068544 169208320 171946400 172904700 175232000 178452480 180973586 183419175 184431680 185888000 186924000 191410176 195647120 198291000 199385600 203049984 206335680 210278400 211510400 214933000 215552000 216130875 220091392 221318016 223065600 230539600 234776544 239262720 241152000 244558900 249232000 253812480 257919600 262848000 264388000 270733312 271460379 275114240 276647520 278832000 288174500 293470680 295090688 297420800 299078400 305698625 313035392 317265600 319016960 322399500 323328000 330137088 338416640 343892800 345809400 350464000 356904960 361947172 366838350 368863360 371776000 373848000 391294240 396582000 398771200 406099968 412671360 420556800 423020800 429866000 432261750 440182784 442636032 446131200 452433965 461079200 469553088 478525440 489117800 498464000 507624960 515839200 525696000 528776000 542920758 550228480 553295040 557664000 576349000 586941360 590181376 594841600 598156800 611397250 626070784 634531200 644799000 646656000 660274176 676833280 687785600 691618800 700928000 723894344 733676700 737726720 743552000 747696000 782588480 793164000 797542400 812199936 825342720 846041600 859732000 864523500 880365568 885272064 892262400 904867930 917095875 922158400 939106176 957050880 978235600 996928000 1015249920 1031678400 1051392000 1057552000 1085841516 1100456960 1106590080 1115328000 1152698000 1173882720 1180362752 1196313600 1222794500 1252141568 1269062400 1289598000 1320548352 1353666560 1357301895 1375571200 1383237600 1447788688 1467353400 1475453440 1487104000 1495392000 1565176960 1586328000 1595084800 1650685440 1692083200 1719464000 1729047000 1770544128 1784524800 1809735860 1834191750 1844316800 1878212352 1956471200 1993856000 2030499840 2063356800 2102784000 2115104000 2171683032 2200913920 2213180160 2230656000 2262169825 2305396000 2347765440 2360725504 2392627200 2445589000 2504283136 2538124800 2579196000 2641096704 2714603790 2751142400 2766475200 2895577376 2934706800 2950906880 2974208000 2990784000 3130353920 3172656000 3301370880 3384166400 3438928000 3458094000 3541088256 3619471720 3668383500 3688633600 3756424704 3912942400 3987712000 4060999680 4126713600 4230208000 4343366064 4401827840 4426360320 4461312000 4524339650 4610792000 4695530880 4785254400 4891178000 5008566272 5076249600 5158392000 5429207580 5502284800 5532950400 5791154752 5869413600 5901813760 5981568000 6260707840 6345312000 6602741760 6768332800 6786509475 6877856000 6916188000 7082176512 7238943440 7336767000 7377267200 7512849408 7825884800 7975424000 8253427200 8460416000 8686732128 8852720640 8922624000 9048679300 9221584000 9391061760 9782356000 10017132544 10152499200 10316784000 10858415160 11004569600 11065900800 11310849125 11582309504 11738827200 11803627520 11963136000 12521415680 12690624000 13205483520 13573018950 13755712000 13832376000 14477886880 14673534000 14754534400 15025698816 15651769600 16506854400 16920832000 17373464256 17705441280 18097358600 18443168000 18782123520 19564712000 20304998400 20633568000 21716830320 22009139200 22131801600 22621698250 23164619008 23477654400 23926272000 25042831360 25381248000 27146037900 27511424000 27664752000 28955773760 29347068000 29509068800 30051397632 31303539200 33013708800 33841664000 33932547375 34746928512 35410882560 36194717200 36886336000 37564247040 39129424000 41267136000 43433660640 44263603200 45243396500 46329238016 46955308800 50085662720 50762496000 54292075800 55022848000 55329504000 57911547520 58694136000 59018137600 62607078400 66027417600 67865094750 69493857024 72389434400 73772672000 75128494080 78258848000 82534272000 86867321280 88527206400 90486793000 92658476032 93910617600 101524992000 108584151600 110045696000 110659008000 115823095040 117388272000 125214156800 135730189500 138987714048 144778868800 147545344000 150256988160 156517696000 165068544000 173734642560 177054412800 180973586000 185316952064 187821235200 217168303200 221318016000 231646190080 234776544000 250428313600 271460379000 277975428096 289557737600 295090688000 313035392000 330137088000 347469285120 361947172000 370633904128 375642470400 434336606400 442636032000 463292380160 469553088000 542920758000 555950856192 579115475200 626070784000 694938570240 723894344000 751284940800 868673212800 885272064000 926584760320 939106176000 1085841516000 1111901712384 1158230950400 1252141568000 1389877140480 1447788688000 1737346425600 1853169520640 1878212352000 2171683032000 2316461900800 2779754280960 2895577376000 3474692851200 3756424704000 4343366064000 4632923801600 5559508561920 5791154752000 6949385702400 8686732128000 9265847603200 11582309504000 13898771404800 17373464256000 23164619008000 27797542809600 34746928512000 46329238016000 69493857024000 138987714048000
- Sum of all divisors σ(n): 479496179268288
- Sum of proper divisors (its aliquot sum) s(n): 340508465220288
- 138987714048000 is an abundant number, because the sum of its proper divisors (340508465220288) is greater than itself. Its abundance is 201520751172288
Bases of 138987714048000
- Binary: 111111001101000100110010101001011110000000000002
- Hexadecimal: 0x7E689952F000
- Base-36: 1D9M2ODYIO
Squares and roots of 138987714048000
- 138987714048000 squared (1389877140480002) is 19317584656288616546304000000
- 138987714048000 cubed (1389877140480003) is 2684906932306274601495221703278592000000000
-
The
square root of 138987714048000 is 11789305.0706137891 -
The
cube root of 138987714048000 is 51799.4884303219
Scales and comparisons
How big is 138987714048000?- 138,987,714,048,000 seconds is equal to 4,419,379 years, 20 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 138,987,714,048,000 would take you about eleven million, forty-eight thousand, four hundred forty-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 138987714048000 cubic inches would be around 4316.6 feet tall.
Recreational maths with 138987714048000
- 138987714048000 backwards is 000840417789831
- 138987714048000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138987714048000's digits is 60
- More coming soon!
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The information we have on file for 138987714048000 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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