138075541327119375
138,075,541,327,119,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138075541327119375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138075541327119375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138075541327119375:
32 × 54 × 72 × 732 × 973 × 103
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 73 × 73 × 97 × 97 × 97 × 103)See below for interesting mathematical facts about the number 138075541327119375 from the Numbermatics database.
Names of 138075541327119375
- Cardinal: 138075541327119375 can be written as One hundred thirty-eight quadrillion, seventy-five trillion, five hundred forty-one billion, three hundred twenty-seven million, one hundred nineteen thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38075541327119375 × 1017
Factors of 138075541327119375
Divisors of 138075541327119375
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 3 5 7 9 15 21 25 35 45 49 63 73 75 97 103 105 125 147 175 219 225 245 291 309 315 365 375 441 485 511 515 525 625 657 679 721 735 873 875 927 1095 1125 1225 1455 1533 1545 1575 1825 1875 2037 2163 2205 2425 2555 2575 2625 3285 3395 3577 3605 3675 4365 4375 4599 4635 4753 5047 5329 5475 5625 6111 6125 6489 7081 7275 7519 7665 7725 7875 9125 9409 9991 10185 10731 10815 11025 12125 12775 12875 13125 14259 15141 15987 16425 16975 17885 18025 18375 21243 21825 22557 22995 23175 23765 25235 26645 27375 28227 29973 30555 30625 32193 32445 35405 36375 37303 37595 38325 38625 39375 42777 45423 45625 47045 47961 49567 49955 50925 52633 53655 54075 55125 60625 63729 63875 64375 65863 67671 69937 71295 75705 79935 82125 84681 84875 89425 89919 90125 91875 106215 109125 111909 112785 114975 115875 118825 126175 133225 136875 141135 148701 149865 152775 157899 160965 162225 177025 181875 186515 187975 191625 193125 197589 209811 213885 227115 235225 239805 247835 249775 254625 261121 263165 268275 270375 275625 318645 319375 329315 335727 338355 346969 349685 356475 368431 378525 399675 410625 423405 424375 446103 447125 449595 450625 461041 473697 489559 516913 531075 545625 548887 559545 563925 574875 579375 592767 594125 629433 630875 666125 686857 705675 729343 743505 749325 763875 783363 789495 804825 811125 885125 912673 932575 939875 958125 969127 987945 1040907 1049055 1069425 1105293 1135575 1176125 1199025 1239175 1248875 1273125 1305605 1315825 1341375 1351875 1383123 1468677 1550739 1593225 1646575 1646661 1678635 1691775 1734845 1748425 1782375 1842155 1892625 1998375 2060571 2117025 2188029 2230515 2235625 2247975 2305205 2350089 2368485 2447795 2584565 2655375 2738019 2744435 2797725 2819625 2874375 2907381 2963835 2970625 3122721 3147165 3154375 3315879 3330625 3434285 3528375 3618391 3646715 3717525 3746625 3819375 3842209 3916815 3947475 4024125 4055625 4149369 4406031 4425625 4563365 4652217 4662875 4699375 4807999 4845635 4939725 4939983 5105401 5204535 5245275 5347125 5526465 5677875 5880625 5995125 6181713 6195875 6244375 6388711 6528025 6564087 6579125 6706875 6783889 6915615 7343385 7753695 7966125 8214057 8232875 8233305 8393175 8458875 8674225 8722143 8742125 8911875 9210775 9463125 9991875 10302855 10585125 10855173 10940145 11152575 11239875 11526025 11526627 11750445 11842425 12238975 12922825 13276875 13690095 13722175 13988625 14098125 14423997 14536905 14819175 15316203 15613605 15735825 16579395 17171425 17641875 18091955 18233575 18587625 18733125 19166133 19211045 19584075 19737375 20120625 20351667 20746845 22030155 22816825 23261085 23314375 24039995 24228175 24698625 24699915 25328737 25527005 26022675 26226375 26735625 26895463 27632325 28389375 29975625 30908565 30979375 31943555 32565519 32640125 32820435 32895625 33655993 33919445 34578075 34579881 35737807 36716925 38768475 39830625 41070285 41164375 41166525 41965875 42294375 43271991 43371125 43610715 43710625 44720977 45948609 46053875 47487223 50140561 51514275 52925625 53242039 54275865 54700725 55762875 56199375 57498399 57630125 57633135 58752225 59212125 61055001 61194875 64614125 66625129 68450475 68610875 69943125 70746271 72119985 72684525 74095875 75986211 76581015 78068025 78679125 80686389 82896975 85857125 90459775 91167875 92938125 94005319 95830665 96055225 97920375 98686875 100967979 101758335 103734225 107213421 110150775 114084125 116305425 120199975 121140875 123493125 123499575 126643685 127635025 130113375 131131875 134162931 134477315 138161625 142461669 150421683 154542825 159717775 159726117 162827595 163200625 164102175 168279965 169597225 172890375 172899405 178689035 183584625 193842375 199875387 205351425 205832625 209829375 212238813 216359955 216855625 218053575 223604885 227958633 229743045 230269375 237436115 242059167 250702805 257571375 266210195 271379325 273503625 278814375 282015957 287491995 288150625 288165675 293761125 296060625 302903937 305275005 305974375 321640263 323070625 333125645 342252375 343054375 350983927 353731355 360599925 363422625 370479375 372694273 379931055 382905075 390340125 393395625 402488793 403431945 414484875 427385007 429285625 451265049 452298875 455839375 466375903 470026595 479153325 479178351 480276125 489601875 495223897 504839895 508791675 518671125 536067105 550753875 570420625 581527125 599626161 600999875 605704375 617497875 633218425 636716439 638175125 650566875 658037233 670814655 672386575 690808125 712308345 752108415 772714125 798588875 798630585 814137975 820510875 841399825 846047871 847986125 864451875 864497025 893445175 917923125 969211875 999376935 1026757125 1029163125 1052951781 1061194065 1081799775 1090267875 1118024425 1118082819 1139793165 1148715225 1187180575 1210295835 1253514025 1287856875 1331050975 1356896625 1367518125 1399127709 1410079785 1437459975 1440828375 1468805625 1485671691 1514519685 1526375025 1608201315 1665628225 1711261875 1754919635 1768656775 1802999625 1817113125 1863471365 1899655275 1914525375 1951700625 1974111699 2012443965 2017159725 2072424375 2136925035 2256325245 2261494375 2331879515 2350132975 2395766625 2395891755 2401380625 2456887489 2476119485 2524199475 2543958375 2593355625 2608859911 2680335525 2753769375 2907635625 2998130805 3004999375 3087489375 3158855343 3166092125 3183582195 3190875625 3264631321 3290186165 3354073275 3354248457 3361932875 3466567279 3561541725 3760542075 3863570625 3992944375 3993152925 4070689875 4102554375 4197383127 4206999125 4230239355 4239930625 4322485125 4457015073 4467225875 4606260631 4863634417 4996884675 5133785625 5164477783 5264758905 5305970325 5408998875 5451339375 5590122125 5590414095 5698965825 5743576125 5922335097 5935902875 6051479175 6267570125 6655254875 6784483125 6862388287 6995638545 7050398925 7187299875 7204141875 7370662467 7428358455 7572598425 7631875125 7826579733 8041006575 8328141125 8774598175 8843283875 9014998125 9317356825 9498276375 9572626875 9793893963 9870558495 10062219825 10085798625 10399701837 10684625175 11281626225 11659397575 11750664875 11978833125 11979458775 12284437445 12380597425 12620997375 12719791875 13044299555 13401677625 13818781893 14590903251 14990654025 15493433349 15794276715 15830460625 15917910975 16323156605 16450930825 16770366375 16771242285 16809664375 17332836395 17807708625 18802710375 19965764625 20353449375 20587164861 20986915635 21034995625 21151196775 21612425625 22111987401 22285075365 22336129375 23031303155 23479739199 24318172085 24984423375 25822388915 26323794525 26529851625 27044994375 27950610625 27952070475 28494829125 28717880625 29381681889 29611675485 29679514375 30257395875 31199105511 31337850625 33276274375 34045440919 34311941435 34978192725 35251994625 35936499375 36151344481 36853312335 37141792275 37862992125 38159375625 39132898665 40205032875 41456345679 41640705625 43772709753 43872990875 44216419375 46480300047 46586784125 47491381875 48036718009 48969469815 49352792475 50311099125 50428993125 51998509185 53423125875 56408131125 58296987875 58753324375 59897293875 61422187225 61761494583 61902987125 63104986875 65221497775 67008388125 69093909465 72954516255 74953270125 77467166745 78971383575 79589554875 81615783025 82254654125 83851831875 83856211425 86664181975 89038543125 94013551875 99828823125 102136322757 102935824305 104934578175 105755983875 108454033443 110559937005 111425376825 115156515775 117398695995 121590860425 124922116875 129111944575 131618972625 132649258125 139760352375 142474145625 144110154027 146908409445 148058377425 151286979375 155995527555 170227204595 171559707175 174890963625 176259973125 180756722405 184266561675 185708961375 189314960625 195664493325 201025164375 207281728395 218863548765 219364954375 232401500235 232933920625 238318086433 240183590045 244847349075 246763962375 251555495625 253059411367 259992545925 267115629375 282040655625 291484939375 299486469375 306408968271 307110936125 308807472915 309514935625 325362100329 326107488875 336257026063 345469547325 364772581275 374766350625 387335833725 394856917875 397947774375 408078915125 411273270625 419281057125 432330462081 433320909875 500954344951 510681613785 514679121525 524672890875 528779919375 542270167215 552799685025 557126884125 575782578875 586993479975 607954302125 645559722875 658094863125 698801761875 714954259299 720550770135 734542047225 740291887125 759178234101 779977637775 851136022975 857798535875 874454818125 903783612025 921332808375 928544806875 978322466625 1008771078189 1036408641975 1094317743825 1162007501175 1191590432165 1200917950225 1224236745375 1233819811875 1265297056835 1299962729625 1502863034853 1532044841355 1535554680625 1544037364575 1626810501645 1630537444375 1681285130315 1727347736625 1823862906375 1936679168625 1974284589375 2040394575625 2096405285625 2144862777897 2161652310405 2166604549375 2277534702303 2504771724755 2553408068925 2573395607625 2623364454375 2711350836075 2763998425125 2785634420625 2878912894375 2934967399875 3026313234567 3039771510625 3227798614375 3506680414657 3574771296495 3602753850675 3672710236125 3701459435625 3795891170505 3899888188875 4255680114875 4288992679375 4508589104559 4518918060125 4606664041875 4891612333125 5043855390945 5182043209875 5471588719125 5810037505875 5957952160825 6004589751125 6121183726875 6326485284175 6499813648125 7514315174265 7660224206775 7720186822875 8134052508225 8406425651575 8636738683125 9119314531875 9683395843125 10520041243971 10724313889485 10808261552025 11387673511515 12523858623775 12767040344625 12866978038125 13556754180375 13819992125625 14674836999375 15131566172835 17533402073285 17873856482475 18013769253375 18363551180625 18979455852525 19499440944375 21278400574375 22542945522795 22594590300625 24546762902599 25219276954725 25910216049375 27357943595625 29050187529375 29789760804125 30022948755625 31560123731913 31632426420875 37571575871325 38301121033875 38600934114375 40670262541125 42032128257875 52600206219855 53621569447425 54041307760125 56938367557575 62619293118875 63835201723125 67783770901875 73640288707797 75657830864175 87667010366425 89369282412375 90068846266875 94897279262625 112714727613975 122733814512995 126096384773625 148948804020625 157800618659565 158162132104375 187857879356625 191505605169375 203351312705625 210160641289375 220920866123391 263001031099275 268107847237125 270206538800625 284691837787875 313096465594375 368201443538985 378289154320875 438335051832125 446846412061875 474486396313125 563573638069875 613669072564975 630481923868125 789003093297825 939289396783125 1104604330616955 1315005155496375 1340539236185625 1423459188939375 1841007217694925 1891445771604375 2191675259160625 2817868190349375 3068345362824875 3945015466489125 5523021653084775 6575025777481875 9205036088474625 15341726814124375 19725077332445625 27615108265423875 46025180442373125 138075541327119375
- Sum of all divisors σ(n): 299883967386363360
- Sum of proper divisors (its aliquot sum) s(n): 161808426059243985
- 138075541327119375 is an abundant number, because the sum of its proper divisors (161808426059243985) is greater than itself. Its abundance is 23732884732124610
Bases of 138075541327119375
- Binary: 1111010101000101011111001001010001111100100000100000011112
- Hexadecimal: 0x1EA8AF928F9040F
- Base-36: 11RJP00DC2DR
Squares and roots of 138075541327119375
- 138075541327119375 squared (1380755413271193752) is 19064855112777050456420835500390625
- 138075541327119375 cubed (1380755413271193753) is 2632390190019790743111787045036289704068718505859375
-
The
square root of 138075541327119375 is 371585173.7181118681 -
The
cube root of 138075541327119375 is 516859.2005683515
Scales and comparisons
How big is 138075541327119375?- 138,075,541,327,119,375 seconds is equal to 4,390,375,118 years, 26 weeks, 3 days, 22 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,075,541,327,119,375 would take you about thirteen billion, one hundred seventy-one million, one hundred twenty-five thousand, three hundred fifty-five 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 138075541327119375 cubic inches would be around 43071.6 feet tall.
Recreational maths with 138075541327119375
- 138075541327119375 backwards is 573911723145570831
- The number of decimal digits it has is: 18
- The sum of 138075541327119375's digits is 72
- More coming soon!
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The information we have on file for 138075541327119375 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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