138603680803584000
138,603,680,803,584,000 is an even composite number composed of five prime numbers multiplied together.
138603680803584000 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 138603680803584000:
211 × 33 × 53 × 233 × 92772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 233 × 9277 × 9277)See below for interesting mathematical facts about the number 138603680803584000 from the Numbermatics database.
Names of 138603680803584000
- Cardinal: 138603680803584000 can be written as One hundred thirty-eight quadrillion, six hundred three trillion, six hundred eighty billion, eight hundred three million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38603680803584 × 1017
Factors of 138603680803584000
Divisors of 138603680803584000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 233 240 250 256 270 288 300 320 360 375 384 400 432 450 466 480 500 512 540 576 600 640 675 699 720 750 768 800 864 900 932 960 1000 1024 1080 1125 1152 1165 1200 1280 1350 1398 1440 1500 1536 1600 1728 1800 1864 1920 2000 2048 2097 2160 2250 2304 2330 2400 2560 2700 2796 2880 3000 3072 3200 3375 3456 3495 3600 3728 3840 4000 4194 4320 4500 4608 4660 4800 5120 5400 5592 5760 5825 6000 6144 6291 6400 6750 6912 6990 7200 7456 7680 8000 8388 8640 9000 9216 9277 9320 9600 10240 10485 10800 11184 11520 11650 12000 12582 12800 13500 13824 13980 14400 14912 15360 16000 16776 17280 17475 18000 18432 18554 18640 19200 20970 21600 22368 23040 23300 24000 25164 25600 27000 27648 27831 27960 28800 29125 29824 30720 31455 32000 33552 34560 34950 36000 37108 37280 38400 41940 43200 44736 46080 46385 46600 48000 50328 51200 52425 54000 55296 55662 55920 57600 58250 59648 62910 64000 67104 69120 69900 72000 74216 74560 76800 83493 83880 86400 87375 89472 92160 92770 93200 96000 100656 104850 108000 111324 111840 115200 116500 119296 125820 128000 134208 138240 139155 139800 144000 148432 149120 153600 157275 166986 167760 172800 174750 178944 185540 186400 192000 201312 209700 216000 222648 223680 230400 231925 233000 238592 250479 251640 256000 262125 268416 276480 278310 279600 288000 296864 298240 314550 333972 335520 345600 349500 357888 371080 372800 384000 402624 417465 419400 432000 445296 447360 460800 463850 466000 477184 500958 503280 524250 536832 556620 559200 576000 593728 596480 629100 667944 671040 691200 695775 699000 715776 742160 745600 768000 786375 805248 834930 838800 864000 890592 894720 927700 932000 1001916 1006560 1048500 1073664 1113240 1118400 1152000 1159625 1187456 1192960 1252395 1258200 1335888 1342080 1382400 1391550 1398000 1431552 1484320 1491200 1572750 1610496 1669860 1677600 1728000 1781184 1789440 1855400 1864000 2003832 2013120 2087325 2097000 2147328 2161541 2226480 2236800 2304000 2319250 2374912 2385920 2504790 2516400 2671776 2684160 2783100 2796000 2968640 2982400 3145500 3220992 3339720 3355200 3456000 3478875 3562368 3578880 3710800 3728000 4007664 4026240 4174650 4194000 4294656 4323082 4452960 4473600 4638500 4749824 5009580 5032800 5343552 5368320 5566200 5592000 5937280 5964800 6261975 6291000 6441984 6484623 6679440 6710400 6912000 6957750 7124736 7157760 7421600 7456000 8015328 8052480 8349300 8388000 8646164 8905920 8947200 9277000 9499648 10019160 10065600 10436625 10687104 10736640 10807705 11132400 11184000 11874560 11929600 12523950 12582000 12883968 12969246 13358880 13420800 13915500 14249472 14843200 14912000 16030656 16104960 16698600 16776000 17292328 17811840 17894400 18554000 18999296 19453869 20038320 20131200 20873250 21374208 21473280 21615410 22264800 22368000 23749120 25047900 25164000 25938492 26717760 26841600 27831000 28498944 29686400 29824000 31309875 32061312 32209920 32423115 33397200 33552000 34584656 35623680 35788800 37108000 38907738 40076640 40262400 41746500 42748416 43230820 44529600 44736000 47498240 50095800 50328000 51876984 53435520 53683200 54038525 55662000 56997888 58361607 59372800 59648000 62619750 64122624 64419840 64846230 66794400 67104000 69169312 71247360 74216000 77815476 80153280 80524800 83493000 85496832 86062729 86461640 89059200 89472000 94996480 97269345 100191600 100656000 103753968 106871040 107366400 108077050 111324000 116723214 118745600 125239500 128245248 129692460 133588800 134208000 138338624 142494720 148432000 155630952 160306560 161049600 162115575 166986000 170993664 172125458 172923280 178118400 178944000 194538690 200383200 201312000 207507936 213742080 216154100 222648000 233446428 237491200 250479000 256490496 258188187 259384920 267177600 268416000 270192625 276677248 284989440 291808035 296864000 311261904 320613120 322099200 324231150 333972000 344250916 345846560 356236800 389077380 400766400 402624000 415015872 427484160 430313645 432308200 445296000 466892856 474982400 486346725 500958000 512980992 516376374 518769840 534355200 536832000 540385250 553354496 583616070 593728000 622523808 641226240 648462300 667944000 688501832 691693120 712473600 774564561 778154760 801532800 805248000 810577875 830031744 854968320 860627290 864616400 890592000 933785712 972693450 1001916000 1032752748 1037539680 1068710400 1080770500 1106708992 1167232140 1187456000 1245047616 1282452480 1290940935 1296924600 1335888000 1377003664 1383386240 1424947200 1459040175 1549129122 1556309520 1603065600 1610496000 1621155750 1660063488 1721254580 1729232800 1781184000 1867571424 1945386900 2003832000 2065505496 2075079360 2137420800 2151568225 2161541000 2213417984 2323693683 2334464280 2374912000 2431733625 2490095232 2564904960 2581881870 2593849200 2671776000 2754007328 2766772480 2918080350 3098258244 3112619040 3206131200 3242311500 3320126976 3442509160 3458465600 3562368000 3735142848 3872822805 3890773800 4007664000 4131010992 4150158720 4274841600 4303136450 4323082000 4426835968 4647387366 4668928560 4863467250 4980190464 5163763740 5187698400 5343552000 5508014656 5533544960 5836160700 6196516488 6225238080 6412262400 6454704675 6484623000 6640253952 6885018320 6916931200 7124736000 7295200875 7470285696 7745645610 7781547600 8015328000 8262021984 8300317440 8606272900 8646164000 9294774732 9337857120 9726934500 9960380928 10327527480 10375396800 10687104000 10757841125 11016029312 11067089920 11618468415 11672321400 12393032976 12450476160 12824524800 12909409350 12969246000 13280507904 13770036640 13833862400 14590401750 14940571392 15491291220 15563095200 16030656000 16524043968 16600634880 17212545800 17292328000 18589549464 18675714240 19364114025 19453869000 19920761856 20052615857 20655054960 20750793600 21374208000 21515682250 22032058624 22134179840 23236936830 23344642800 24786065952 24900952320 25818818700 25938492000 27540073280 27667724800 29180803500 29881142784 30982582440 31126190400 32061312000 32273523375 33048087936 33201269760 34425091600 34584656000 37179098928 37351428480 38728228050 38907738000 39841523712 40105231714 41310109920 41501587200 43031364500 44064117248 46473873660 46689285600 49572131904 49801904640 51637637400 51876984000 55080146560 55335449600 58092342075 58361607000 59762285568 60157847571 61965164880 62252380800 64122624000 64547046750 66096175872 66402539520 68850183200 69169312000 74358197856 74702856960 77456456100 77815476000 80210463428 82620219840 83003174400 86062729000 88128234496 92947747320 93378571200 96820570125 99144263808 99603809280 100263079285 103275274800 103753968000 110160293120 110670899200 116184684150 116723214000 119524571136 120315695142 123930329760 124504761600 129094093500 132192351744 137700366400 138338624000 148716395712 149405713920 154912912200 155630952000 160420926856 165240439680 166006348800 172125458000 176256468992 180473542713 185895494640 186757142400 193641140250 198288527616 199207618560 200526158570 206550549600 207507936000 220320586240 232369368300 233446428000 240631390284 247860659520 249009523200 258188187000 264384703488 275400732800 276677248000 290461710375 297432791424 298811427840 300789237855 309825824400 311261904000 320841853712 330480879360 332012697600 344250916000 360947085426 371790989280 373514284800 387282280500 396577055232 401052317140 413101099200 415015872000 440641172480 464738736600 466892856000 481262780568 495721319040 498019046400 501315396425 516376374000 528769406976 541420628139 550801465600 553354496000 580923420750 594865582848 597622855680 601578475710 619651648800 622523808000 641683707424 660961758720 688501832000 721894170852 743581978560 747028569600 774564561000 793154110464 802104634280 826202198400 830031744000 881282344960 902367713565 929477473200 933785712000 962525561136 991442638080 996038092800 1002630792850 1032752748000 1082841256278 1101602931200 1161846841500 1189731165696 1203156951420 1239303297600 1245047616000 1283367414848 1321923517440 1377003664000 1443788341704 1487163957120 1494057139200 1503946189275 1549129122000 1586308220928 1604209268560 1652404396800 1660063488000 1804735427130 1858954946400 1867571424000 1925051122272 1982885276160 2005261585700 2065505496000 2165682512556 2203205862400 2323693683000 2379462331392 2406313902840 2478606595200 2490095232000 2506576982125 2566734829696 2643847034880 2707103140695 2754007328000 2887576683408 2974327914240 2988114278400 3007892378550 3098258244000 3208418537120 3304808793600 3609470854260 3717909892800 3735142848000 3850102244544 3965770552320 4010523171400 4131010992000 4331365025112 4406411724800 4511838567825 4647387366000 4758924662784 4812627805680 4957213190400 4980190464000 5013153964250 5133469659392 5414206281390 5508014656000 5775153366816 5948655828480 6015784757100 6196516488000 6416837074240 6609617587200 7218941708520 7435819785600 7470285696000 7519730946375 7700204489088 7931541104640 8021046342800 8262021984000 8662730050224 9023677135650 9294774732000 9625255611360 9914426380800 10026307928500 10266939318784 10828412562780 11016029312000 11550306733632 11897311656960 12031569514200 12393032976000 12833674148480 13219235174400 13535515703475 14437883417040 14871639571200 14940571392000 15039461892750 15400408978176 16042092685600 16524043968000 17325460100448 18047354271300 18589549464000 19250511222720 19828852761600 20052615857000 20533878637568 21656825125560 22032058624000 22559192839125 23100613467264 23794623313920 24063139028400 24786065952000 25667348296960 27071031406950 28875766834080 29743279142400 30078923785500 30800817956352 32084185371200 33048087936000 34650920200896 36094708542600 37179098928000 38501022445440 39657705523200 40105231714000 41067757275136 43313650251120 45118385678250 46201226934528 48126278056800 49572131904000 51334696593920 54142062813900 57751533668160 59486558284800 60157847571000 61601635912704 64168370742400 66096175872000 67677578517375 69301840401792 72189417085200 74358197856000 77002044890880 80210463428000 86627300502240 90236771356500 92402453869056 96252556113600 99144263808000 102669393187840 108284125627800 115503067336320 118973116569600 120315695142000 123203271825408 128336741484800 135355157034750 138603680803584 144378834170400 148716395712000 154004089781760 160420926856000 173254601004480 180473542713000 184804907738112 192505112227200 198288527616000 205338786375680 216568251255600 231006134672640 240631390284000 256673482969600 270710314069500 277207361607168 288757668340800 297432791424000 308008179563520 320841853712000 346509202008960 360947085426000 369609815476224 385010224454400 433136502511200 462012269345280 481262780568000 513346965939200 541420628139000 554414723214336 577515336681600 594865582848000 616016359127040 641683707424000 693018404017920 721894170852000 770020448908800 866273005022400 924024538690560 962525561136000 1026693931878400 1082841256278000 1108829446428672 1155030673363200 1283367414848000 1386036808035840 1443788341704000 1540040897817600 1732546010044800 1848049077381120 1925051122272000 2165682512556000 2310061346726400 2566734829696000 2772073616071680 2887576683408000 3080081795635200 3465092020089600 3850102244544000 4331365025112000 4620122693452800 5133469659392000 5544147232143360 5775153366816000 6930184040179200 7700204489088000 8662730050224000 9240245386905600 11550306733632000 13860368080358400 15400408978176000 17325460100448000 23100613467264000 27720736160716800 34650920200896000 46201226934528000 69301840401792000 138603680803584000
- Sum of all divisors σ(n): 514655102629886400
- Sum of proper divisors (its aliquot sum) s(n): 376051421826302400
- 138603680803584000 is an abundant number, because the sum of its proper divisors (376051421826302400) is greater than itself. Its abundance is 237447741022718400
Bases of 138603680803584000
- Binary: 1111011000110101101010000001101101101101111111000000000002
- Hexadecimal: 0x1EC6B5036DBF800
- Base-36: 11WQWJXPGQO0
Squares and roots of 138603680803584000
- 138603680803584000 squared (1386036808035840002) is 19210980332301799823987245056000000
- 138603680803584000 cubed (1386036808035840003) is 2662712585902288745580393947582372411080704000000000
-
The
square root of 138603680803584000 is 372295152.8069953263 -
The
cube root of 138603680803584000 is 517517.3582715061
Scales and comparisons
How big is 138603680803584000?- 138,603,680,803,584,000 seconds is equal to 4,407,168,320 years, 11 weeks, 3 days.
-
To count from 1 to 138,603,680,803,584,000 would take you about thirteen billion, two hundred twenty-one million, five hundred four thousand, nine hundred sixty 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 138603680803584000 cubic inches would be around 43126.4 feet tall.
Recreational maths with 138603680803584000
- 138603680803584000 backwards is 000485308086306831
- The number of decimal digits it has is: 18
- The sum of 138603680803584000's digits is 63
- More coming soon!
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The information we have on file for 138603680803584000 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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