138375491584000
138,375,491,584,000 is an even composite number composed of five prime numbers multiplied together.
138375491584000 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 138375491584000:
215 × 53 × 112 × 432 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 43 × 43 × 151)See below for interesting mathematical facts about the number 138375491584000 from the Numbermatics database.
Names of 138375491584000
- Cardinal: 138375491584000 can be written as One hundred thirty-eight trillion, three hundred seventy-five billion, four hundred ninety-one million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38375491584 × 1014
Factors of 138375491584000
Divisors of 138375491584000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 64 80 86 88 100 110 121 125 128 151 160 172 176 200 215 220 242 250 256 275 302 320 344 352 400 430 440 473 484 500 512 550 604 605 640 688 704 755 800 860 880 946 968 1000 1024 1075 1100 1208 1210 1280 1375 1376 1408 1510 1600 1661 1720 1760 1849 1892 1936 2000 2048 2150 2200 2365 2416 2420 2560 2750 2752 2816 3020 3025 3200 3322 3440 3520 3698 3775 3784 3872 4000 4096 4300 4400 4730 4832 4840 5120 5203 5375 5500 5504 5632 6040 6050 6400 6493 6644 6880 7040 7396 7550 7568 7744 8000 8192 8305 8600 8800 9245 9460 9664 9680 10240 10406 10750 11000 11008 11264 11825 12080 12100 12800 12986 13288 13760 14080 14792 15100 15125 15136 15488 16000 16384 16610 17200 17600 18271 18490 18875 18920 19328 19360 20339 20480 20812 21500 22000 22016 22528 23650 24160 24200 25600 25972 26015 26576 27520 28160 29584 30200 30250 30272 30976 32000 32465 32768 33220 34400 35200 36542 36980 37750 37840 38656 38720 40678 40960 41525 41624 43000 44000 44032 45056 46225 47300 48320 48400 51200 51944 52030 53152 55040 56320 59125 59168 60400 60500 60544 61952 64000 64930 66440 68800 70400 71423 73084 73960 75500 75680 77312 77440 81356 81920 83050 83248 86000 88000 88064 90112 91355 92450 94600 96640 96800 101695 102400 103888 104060 106304 110080 112640 118250 118336 120800 121000 121088 123904 128000 129860 130075 132880 137600 140800 142846 146168 147920 151000 151360 154624 154880 162325 162712 163840 166100 166496 172000 176000 176128 180224 182710 184900 189200 193280 193600 203390 204800 207625 207776 208120 212608 220160 223729 225280 231125 236500 236672 241600 242000 242176 247808 256000 259720 260150 265760 275200 279199 281600 285692 292336 295840 302000 302720 309248 309760 324650 325424 332200 332992 344000 352000 352256 357115 360448 365420 369800 378400 386560 387200 406780 409600 415250 415552 416240 425216 440320 447458 450560 456775 462250 473000 473344 483200 484000 484352 495616 508475 512000 519440 520300 531520 550400 558398 563200 571384 584672 591680 604000 605440 618496 619520 649300 650375 650848 664400 665984 688000 704000 704512 714230 730840 739600 756800 773120 774400 785653 811625 813560 819200 830500 831104 832480 850432 880640 894916 901120 913550 924500 946000 946688 966400 968000 968704 991232 1016950 1024000 1038880 1040600 1063040 1100800 1116796 1118645 1126400 1142768 1169344 1183360 1208000 1210880 1236992 1239040 1298600 1300750 1301696 1328800 1331968 1376000 1395995 1408000 1409024 1428460 1461680 1479200 1513600 1546240 1548800 1571306 1623250 1627120 1661000 1662208 1664960 1700864 1761280 1785575 1789832 1802240 1827100 1849000 1892000 1893376 1932800 1936000 1937408 1982464 2033900 2048000 2077760 2081200 2126080 2201600 2233592 2237290 2252800 2283875 2285536 2338688 2366720 2416000 2421760 2473984 2478080 2542375 2597200 2601500 2603392 2657600 2663936 2752000 2791990 2816000 2856920 2923360 2958400 3027200 3071189 3092480 3097600 3142612 3246500 3254240 3322000 3324416 3329920 3401728 3522560 3571150 3579664 3654200 3698000 3784000 3786752 3865600 3872000 3874816 3928265 3964928 4067800 4096000 4155520 4162400 4252160 4403200 4467184 4474580 4505600 4567750 4571072 4677376 4733440 4832000 4843520 4947968 4956160 5084750 5194400 5203000 5206784 5315200 5327872 5504000 5583980 5593225 5632000 5713840 5846720 5916800 6054400 6142378 6184960 6195200 6285224 6493000 6508480 6644000 6648832 6659840 6803456 6979975 7045120 7142300 7159328 7308400 7396000 7568000 7573504 7731200 7744000 7749632 7856530 8135600 8311040 8324800 8504320 8806400 8927875 8934368 8949160 9011200 9135500 9142144 9354752 9466880 9664000 9687040 9912320 10169500 10388800 10406000 10413568 10630400 10655744 11008000 11167960 11186450 11264000 11427680 11693440 11833600 12108800 12284756 12369920 12390400 12570448 12986000 13016960 13288000 13297664 13319680 13606912 13959950 14284600 14318656 14616800 14792000 15136000 15147008 15355945 15462400 15488000 15499264 15713060 16271200 16622080 16649600 17008640 17612800 17855750 17868736 17898320 18271000 18284288 18709504 18933760 19328000 19374080 19641325 19824640 20339000 20777600 20812000 20827136 21260800 21311488 22016000 22335920 22372900 22528000 22855360 23386880 23667200 24217600 24569512 24739840 24780800 25140896 25972000 26033920 26576000 26595328 26639360 27213824 27919900 27966125 28569200 28637312 29233600 29584000 30272000 30294016 30711890 30924800 30976000 31426120 32542400 33244160 33299200 33783079 34017280 34899875 35225600 35711500 35737472 35796640 36542000 36568576 37419008 37867520 38656000 38748160 39282650 40678000 41555200 41624000 41654272 42521600 42622976 44032000 44671840 44745800 45056000 45710720 46773760 47334400 48435200 49139024 49561600 50281792 51944000 52067840 53152000 53190656 53278720 54427648 55839800 55932250 57138400 57274624 58467200 59168000 60544000 60588032 61423780 61849600 61952000 62852240 65084800 66488320 66598400 67566158 68034560 69799750 71423000 71474944 71593280 73084000 73137152 74838016 75735040 76779725 77312000 77496320 78565300 81356000 83110400 83248000 83308544 85043200 85245952 88064000 89343680 89491600 91421440 93547520 94668800 96870400 98206625 98278048 99123200 100563584 103888000 104135680 106304000 106381312 106557440 111679600 111864500 114276800 114549248 116934400 118336000 121088000 122847560 123699200 123904000 125704480 130169600 132976640 133196800 135132316 136069120 139599500 142846000 142949888 143186560 146168000 146274304 149676032 151470080 153559450 154624000 157130600 162712000 166220800 166496000 166617088 168915395 170086400 170491904 176128000 178687360 178983200 182842880 187095040 189337600 193740800 196413250 196556096 201127168 207776000 208271360 212608000 212762624 213114880 223359200 223729000 228553600 229098496 233868800 236672000 242176000 245695120 247808000 251408960 260339200 265953280 266393600 270264632 272138240 279199000 285692000 285899776 286373120 292336000 292548608 299352064 302940160 307118900 309248000 314261200 325424000 332441600 332992000 333234176 337830790 340172800 357374720 357966400 365685760 374190080 378675200 383898625 387481600 392826500 393112192 402254336 415552000 416542720 425216000 426229760 446718400 447458000 457107200 458196992 467737600 473344000 484352000 491390240 495616000 502817920 520678400 531906560 532787200 540529264 558398000 571384000 571799552 572746240 584672000 585097216 598704128 614237800 618496000 628522400 650848000 664883200 665984000 666468352 675661580 680345600 714749440 715932800 731371520 748380160 757350400 767797250 785653000 786224384 804508672 831104000 833085440 844576975 850432000 852459520 893436800 894916000 914214400 916393984 935475200 946688000 968704000 982780480 1005635840 1041356800 1063813120 1065574400 1081058528 1116796000 1142768000 1143599104 1145492480 1169344000 1170194432 1228475600 1257044800 1301696000 1329766400 1331968000 1351323160 1360691200 1429498880 1431865600 1462743040 1496760320 1514700800 1535594500 1571306000 1572448768 1609017344 1662208000 1666170880 1689153950 1700864000 1786873600 1789832000 1828428800 1832787968 1870950400 1893376000 1937408000 1965560960 2011271680 2082713600 2131148800 2162117056 2233592000 2285536000 2287198208 2290984960 2338688000 2340388864 2456951200 2514089600 2603392000 2659532800 2663936000 2702646320 2858997760 2863731200 2925486080 2993520640 3071189000 3142612000 3144897536 3218034688 3324416000 3332341760 3378307900 3401728000 3573747200 3579664000 3656857600 3665575936 3741900800 3786752000 3931121920 4022543360 4165427200 4222884875 4262297600 4324234112 4467184000 4571072000 4574396416 4581969920 4677376000 4913902400 5028179200 5206784000 5319065600 5327872000 5405292640 5717995520 5727462400 5850972160 6142378000 6285224000 6289795072 6436069376 6648832000 6756615800 6803456000 7147494400 7159328000 7313715200 7331151872 7483801600 7573504000 7862243840 8045086720 8330854400 8445769750 8648468224 8934368000 9142144000 9148792832 9163939840 9354752000 9827804800 10056358400 10413568000 10655744000 10810585280 11435991040 11454924800 11701944320 12284756000 12570448000 12579590144 12872138752 13297664000 13513231600 14294988800 14318656000 14627430400 14967603200 15724487680 16090173440 16661708800 16891539500 17296936448 17868736000 18284288000 18327879680 18709504000 19655609600 20112716800 20827136000 21311488000 21621170560 22871982080 22909849600 24569512000 25140896000 25159180288 25744277504 26595328000 27026463200 28589977600 28637312000 29254860800 31448975360 32180346880 33783079000 34593872896 35737472000 36568576000 36655759360 37419008000 39311219200 40225433600 41654272000 43242341120 45743964160 45819699200 49139024000 50281792000 50318360576 54052926400 57179955200 57274624000 58509721600 62897950720 64360693760 67566158000 69187745792 71474944000 73137152000 74838016000 78622438400 80450867200 83308544000 86484682240 91639398400 98278048000 100563584000 100636721152 108105852800 114359910400 114549248000 125795901440 128721387520 135132316000 138375491584 142949888000 146274304000 157244876800 160901734400 172969364480 183278796800 196556096000 201127168000 216211705600 228719820800 229098496000 251591802880 270264632000 276750983168 285899776000 292548608000 314489753600 321803468800 345938728960 393112192000 402254336000 432423411200 458196992000 503183605760 540529264000 553501966336 571799552000 628979507200 643606937600 691877457920 786224384000 804508672000 864846822400 916393984000 1081058528000 1107003932672 1143599104000 1257959014400 1383754915840 1572448768000 1609017344000 1729693644800 2162117056000 2515918028800 2767509831680 3144897536000 3218034688000 3459387289600 4324234112000 5535019663360 6289795072000 6918774579200 8648468224000 12579590144000 13837549158400 17296936448000 27675098316800 34593872896000 69187745792000 138375491584000
- Sum of all divisors σ(n): 391240445712480
- Sum of proper divisors (its aliquot sum) s(n): 252864954128480
- 138375491584000 is an abundant number, because the sum of its proper divisors (252864954128480) is greater than itself. Its abundance is 114489462544480
Bases of 138375491584000
- Binary: 111110111011010000011100000010110000000000000002
- Hexadecimal: 0x7DDA0E058000
- Base-36: 1D1STMXTZ4
Squares and roots of 138375491584000
- 138375491584000 squared (1383754915840002) is 19147776671113654829056000000
- 138375491584000 cubed (1383754915840003) is 2649583009605999079705519486664704000000000
-
The
square root of 138375491584000 is 11763311.2508340949 -
The
cube root of 138375491584000 is 51723.3198554759
Scales and comparisons
How big is 138375491584000?- 138,375,491,584,000 seconds is equal to 4,399,912 years, 31 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,375,491,584,000 would take you about ten million, nine hundred ninety-nine thousand, seven hundred eighty-one 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 138375491584000 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138375491584000
- 138375491584000 backwards is 000485194573831
- The number of decimal digits it has is: 15
- The sum of 138375491584000's digits is 58
- More coming soon!
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The information we have on file for 138375491584000 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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