138536411970350592

Names of 138536411970350592

• Cardinal: 138536411970350592 can be written as One hundred thirty-eight quadrillion, five hundred thirty-six trillion, four hundred eleven billion, nine hundred seventy million, three hundred fifty thousand, five hundred ninety-two.

Scientific notation

• Scientific notation: 1.38536411970350592 × 10¹⁷

Factors of 138536411970350592

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 960

Divisors of 138536411970350592

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 81 88 96 99 108 111 121 128 132 144 148 162 176 192 198 216 222 242 256 264 288 296 297 324 333 352 363 384 396 407 432 444 484 512 528 576 592 594 648 666 704 726 768 792 814 864 888 891 907 968 999 1056 1089 1152 1184 1188 1221 1296 1332 1408 1452 1536 1584 1628 1728 1776 1782 1814 1936 1998 2112 2178 2304 2368 2376 2442 2592 2664 2721 2816 2904 2997 3168 3256 3267 3456 3552 3564 3628 3663 3872 3996 4224 4356 4477 4608 4736 4752 4884 5184 5328 5442 5632 5808 5994 6336 6512 6534 6912 7104 7128 7256 7326 7744 7992 8163 8448 8712 8954 9472 9504 9768 9801 9977 10368 10656 10884 10989 11616 11988 12672 13024 13068 13431 13824 14208 14256 14512 14652 15488 15984 16326 16896 17424 17908 18944 19008 19536 19602 19954 20736 21312 21768 21978 23232 23976 24489 25344 26048 26136 26862 28416 28512 29024 29304 29931 30976 31968 32652 32967 33559 34848 35816 38016 39072 39204 39908 40293 41472 42624 43536 43956 46464 47952 48978 50688 52096 52272 53724 56832 57024 58048 58608 59862 61952 63936 65304 65934 67118 69696 71632 73467 76032 78144 78408 79816 80586 85248 87072 87912 89793 92928 95904 97956 100677 104192 104544 107448 109747 114048 116096 117216 119724 120879 127872 130608 131868 134236 139392 143264 146934 152064 156288 156816 159632 161172 170496 174144 175824 179586 185856 191808 195912 201354 208384 209088 214896 219494 228096 232192 234432 239448 241758 255744 261216 263736 268472 269379 278784 286528 293868 302031 312576 313632 319264 322344 329241 348288 351648 359172 362637 369149 383616 391824 402708 418176 429792 438988 456192 464384 468864 478896 483516 511488 522432 527472 536944 538758 557568 573056 587736 604062 625152 627264 638528 644688 658482 696576 703296 718344 725274 738298 767232 783648 805416 808137 822649 836352 859584 877976 906093 937728 957792 967032 987723 1044864 1054944 1073888 1077516 1107447 1146112 1175472 1208124 1254528 1277056 1289376 1316964 1393152 1406592 1436688 1450548 1476596 1534464 1567296 1610832 1616274 1645298 1672704 1719168 1755952 1812186 1875456 1915584 1934064 1975446 2089728 2109888 2147776 2155032 2214894 2292224 2350944 2416248 2467947 2509056 2554112 2578752 2633928 2718279 2813184 2873376 2901096 2953192 2963169 3134592 3221664 3232548 3290596 3322341 3438336 3511904 3624372 3831168 3868128 3950892 4060639 4179456 4219776 4295552 4310064 4429788 4701888 4832496 4935894 5018112 5108224 5157504 5267856 5436558 5626368 5746752 5802192 5906384 5926338 6269184 6443328 6465096 6581192 6644682 6876672 7023808 7248744 7403841 7662336 7736256 7901784 8121278 8439552 8591104 8620128 8859576 8889507 9049139 9403776 9664992 9871788 9967023 10315008 10535712 10873116 11493504 11604384 11812768 11852676 12181917 12538368 12886656 12930192 13162384 13289364 14047616 14497488 14807682 15324672 15472512 15803568 16242556 16879104 17182208 17240256 17719152 17779014 18098278 18807552 19329984 19743576 19934046 20630016 21071424 21746232 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16125565698 16415138146 17058449664 17532295488 17907423432 18080179722 18711424512 19111781568 19723832424 20145851361 20849216256 21050352576 21428361152 21500754264 22097997438 23376393984 23455368288 23876564576 24106906296 24622707219 25482375424 26298443232 26861135148 27120269583 27607277791 28067136768 28667672352 29463996584 31273824384 32142541728 32251131396 32830276292 33146996157 34116899328 35064590976 35814846864 36160359444 38223563136 39447664848 40291702722 41698432512 42100705152 42856722304 43001508528 44195994876 46752787968 46910736576 47753129152 48213812592 49245414438 50964750848 52596886464 53722270296 54240539166 55214555582 56134273536 57335344704 58927993168 60437554083 62547648768 64285083456 64502262792 65660552584 66293992314 70129181952 71629693728 72320718888 73868121657 76447126272 78895329696 80583405444 82821833373 84201410304 85713444608 86003017056 88391989752 90283259803 93821473152 95506258304 96427625184 98490828876 99440988471 105193772928 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607360111402 631162637568 644667243552 662574666984 664813094913 688024136448 707135918016 722266078424 745396500357 771421001472 787926631008 795527907768 812549338227 859556324736 867848626656 883432889312 886417459884 911040167103 942847890688 967000865328 993862000476 1032036204672 1050568841344 1060703877024 1083399117636 1146075099648 1157131502208 1181889946512 1193291861652 1214720222804 1262325275136 1289334487104 1325149333968 1329626189826 1376048272896 1414271836032 1444532156848 1490793000714 1542842002944 1575853262016 1591055815536 1625098676454 1719112649472 1735697253312 1766865778624 1772834919768 1822080334206 1885695781376 1934001730656 1987724000952 2064072409344 2101137682688 2121407754048 2166798235272 2236189501071 2314263004416 2363779893024 2386583723304 2429440445608 2437648014681 2578668974208 2650298667936 2659252379652 2733120501309 2828543672064 2889064313696 2981586001428 3151706524032 3182111631072 3250197352908 3340480612711 3438225298944 3471394506624 3533731557248 3545669839536 3644160668412 3868003461312 3975448001904 4128144818688 4202275365376 4242815508096 4333596470544 4472379002142 4628526008832 4727559786048 4773167446608 4858880891216 4875296029362 5157337948416 5300597335872 5318504759304 5466241002618 5657087344128 5778128627392 5963172002856 6303413048064 6364223262144 6500394705816 6680961225422 6942789013248 7067463114496 7091339679072 7288321336824 7312944044043 7736006922624 7950896003808 8199361503927 8485631016192 8667192941088 8944758004284 9455119572096 9546334893216 9717761782432 9750592058724 10021441838133 10314675896832 10601194671744 10637009518608 10932482005236 11556257254784 11926344005712 12606826096128 12728446524288 13000789411632 13361922450844 13885578026496 14134926228992 14182679358144 14576642673648 14625888088086 15472013845248 15901792007616 16398723007854 16971262032384 17334385882176 17889516008568 18910239144192 19092669786432 19435523564864 19501184117448 20042883676266 21202389343488 21274019037216 21864964010472 23112514509568 23852688011424 24598084511781 25456893048576 26001578823264 26723844901688 28365358716288 29153285347296 29251776176172 30064325514399 30944027690496 31803584015232 32797446015708 34668771764352 35779032017136 37820478288384 38185339572864 38871047129728 39002368234896 40085767352532 42404778686976 42548038074432 43729928020944 46225029019136 47705376022848 49196169023562 50913786097152 52003157646528 53447689803376 56730717432576 58306570694592 58503552352344 60128651028798 63607168030464 65594892031416 69337543528704 71558064034272 76370679145728 77742094259456 78004736469792 80171534705064 85096076148864 87459856041888 90192976543197 95410752045696 98392338047124 104006315293056 106895379606752 113461434865152 116613141389184 117007104704688 120257302057596 127214336060928 131189784062832 138675087057408 143116128068544 152741358291456 155484188518912 156009472939584 160343069410128 170192152297728 174919712083776 180385953086394 190821504091392 196784676094248 208012630586112 213790759213504 233226282778368 234014209409376 240514604115192 262379568125664 270578929629591 286232256137088 312018945879168 320686138820256 340384304595456 349839424167552 360771906172788 381643008182784 393569352188496 416025261172224 427581518427008 466452565556736 468028418818752 481029208230384 524759136251328 541157859259182 572464512274176 624037891758336 641372277640512 699678848335104 721543812345576 787138704376992 855163036854016 936056837637504 962058416460768 1049518272502656 1082315718518364 1144929024548352 1248075783516672 1282744555281024 1399357696670208 1443087624691152 1574277408753984 1710326073708032 1872113675275008 1924116832921536 2099036545005312 2164631437036728 2565489110562048 2886175249382304 3148554817507968 3744227350550016 3848233665843072 4198073090010624 4329262874073456 5130978221124096 5772350498764608 6297109635015936 7696467331686144 8658525748146912 11544700997529216 12594219270031872 15392934663372288 17317051496293824 23089401995058432 34634102992587648 46178803990116864 69268205985175296 138536411970350592
• Sum of all divisors σ(n): 467301518398268400
• Sum of proper divisors (its aliquot sum) s(n): 328765106427917808
• 138536411970350592 is an abundant number, because the sum of its proper divisors (328765106427917808) is greater than itself. Its abundance is 190228694457567216

Bases of 138536411970350592

• Binary: 111101100001011100010000111110111111100110010111000000000₂
• Hexadecimal: 0x1EC2E21F7F32E00
• Base-36: 11W32526ZK00

Squares and roots of 138536411970350592

• 138536411970350592 squared (138536411970350592²) is 19192337441618698796390895394750464
• 138536411970350592 cubed (138536411970350592³) is 2658837566486072560080484216412750332850890434674688
• The square root of 138536411970350592 is 372204798.4246718333
• The cube root of 138536411970350592 is 517433.6221058937

Scales and comparisons

• 138,536,411,970,350,592 seconds is equal to 4,405,029,379 years, 20 weeks, 5 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 138,536,411,970,350,592 would take you about thirteen billion, two hundred fifteen million, eighty-eight thousand, one hundred thirty-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 138536411970350592 cubic inches would be around 43119.5 feet tall.

Recreational maths with 138536411970350592

• 138536411970350592 backwards is 295053079114635831
• 138536411970350592 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138536411970350592's digits is 72
• More coming soon!