138006419712000

Names of 138006419712000

• Cardinal: 138006419712000 can be written as One hundred thirty-eight trillion, six billion, four hundred nineteen million, seven hundred twelve thousand.

Scientific notation

• Scientific notation: 1.38006419712 × 10¹⁴

Factors of 138006419712000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 14279

Divisors of 138006419712000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 280 300 320 336 350 375 384 400 420 448 480 500 512 525 560 600 640 672 700 750 768 800 840 875 896 960 1000 1024 1050 1120 1200 1280 1344 1400 1500 1536 1600 1680 1750 1792 1920 2000 2048 2100 2113 2240 2400 2560 2625 2688 2800 3000 3072 3200 3360 3500 3584 3840 4000 4200 4226 4480 4800 5120 5250 5376 5600 6000 6144 6339 6400 6720 7000 7168 7680 8000 8400 8452 8960 9600 10240 10500 10565 10752 11200 12000 12149 12678 12800 13440 14000 14336 14791 15360 16000 16800 16904 17920 19200 21000 21130 21504 22400 24000 24298 25356 25600 26880 28000 29582 30720 31695 32000 33600 33808 35840 36447 38400 42000 42260 43008 44373 44800 48000 48596 50712 51200 52825 53760 56000 59164 60745 63390 64000 67200 67616 71680 72894 73955 76800 84000 84520 85043 88746 89600 96000 97192 101424 105650 107520 112000 118328 121490 126780 128000 134400 135232 145788 147910 153600 158475 168000 169040 170086 177492 179200 182235 192000 194384 202848 211300 215040 221865 224000 236656 242980 253560 255129 256000 264125 268800 270464 291576 295820 303725 316950 336000 338080 340172 354984 358400 364470 369775 384000 388768 405696 422600 425215 443730 448000 473312 485960 507120 510258 528250 537600 540928 583152 591640 607450 633900 672000 676160 680344 709968 728940 739550 768000 777536 792375 811392 845200 850430 887460 896000 911175 946624 971920 1014240 1020516 1056500 1075200 1081856 1109325 1166304 1183280 1214900 1267800 1275645 1344000 1352320 1360688 1419936 1457880 1479100 1518625 1555072 1584750 1622784 1690400 1700860 1774920 1792000 1822350 1848875 1893248 1943840 2028480 2041032 2113000 2126075 2163712 2218650 2332608 2366560 2429800 2535600 2551290 2688000 2704640 2721376 2839872 2915760 2958200 3037250 3110144 3169500 3245568 3380800 3401720 3549840 3644700 3697750 3786496 3887680 4056960 4082064 4226000 4252150 4327424 4437300 4555875 4665216 4733120 4859600 5071200 5102580 5376000 5409280 5442752 5546625 5679744 5831520 5916400 6074500 6220288 6339000 6378225 6491136 6761600 6803440 7099680 7289400 7395500 7572992 7775360 8113920 8164128 8452000 8504300 8874600 9111750 9330432 9466240 9719200 10142400 10205160 10630375 10818560 10885504 11093250 11359488 11663040 11832800 12149000 12440576 12678000 12756450 12982272 13523200 13606880 14199360 14578800 14791000 15145984 15550720 16227840 16328256 16904000 17008600 17749200 18223500 18660864 18932480 19438400 20284800 20410320 21260750 21637120 21771008 22186500 22718976 23326080 23665600 24298000 24881152 25356000 25512900 25670837 27046400 27213760 28398720 29157600 29582000 30291968 31101440 31891125 32455680 32656512 33808000 34017200 35498400 36447000 37321728 37864960 38876800 40569600 40820640 42521500 43542016 44373000 45437952 46652160 47331200 48596000 50712000 51025800 51341674 54092800 54427520 56797440 58315200 59164000 62202880 63782250 64911360 65313024 67616000 68034400 70996800 72894000 74643456 75729920 77012511 77753600 81139200 81641280 85043000 87084032 88746000 90875904 93304320 94662400 97192000 101424000 102051600 102683348 108185600 108855040 113594880 116630400 118328000 124405760 127564500 128354185 130626048 135232000 136068800 141993600 145788000 151459840 154025022 155507200 162278400 163282560 170086000 174168064 177492000 179695859 186608640 189324800 194384000 202848000 204103200 205366696 217710080 227189760 233260800 236656000 255129000 256708370 261252096 270464000 272137600 283987200 291576000 308050044 311014400 324556800 326565120 340172000 354984000 359391718 373217280 378649600 385062555 388768000 405696000 408206400 410733392 435420160 454379520 466521600 473312000 510258000 513416740 522504192 539087577 540928000 544275200 567974400 583152000 616100088 622028800 641770925 653130240 680344000 709968000 718783436 757299200 770125110 777536000 811392000 816412800 821466784 870840320 898479295 933043200 946624000 1020516000 1026833480 1078175154 1088550400 1135948800 1166304000 1232200176 1283541850 1306260480 1360688000 1419936000 1437566872 1540250220 1555072000 1622784000 1632825600 1642933568 1796958590 1866086400 1893248000 1925312775 2041032000 2053666960 2156350308 2177100800 2271897600 2332608000 2464400352 2567083700 2612520960 2695437885 2721376000 2839872000 2875133744 3080500440 3110144000 3208854625 3265651200 3285867136 3593917180 3786496000 3850625550 4082064000 4107333920 4312700616 4354201600 4492396475 4665216000 4928800704 5134167400 5390875770 5442752000 5679744000 5750267488 6161000880 6417709250 6531302400 6571734272 7187834360 7701251100 8164128000 8214667840 8625401232 8984792950 9330432000 9626563875 9857601408 10268334800 10781751540 10885504000 11359488000 11500534976 12322001760 12835418500 13062604800 13143468544 13477189425 14375668720 15402502200 16328256000 16429335680 17250802464 17969585900 19253127750 19715202816 20536669600 21563503080 21771008000 22461982375 23001069952 24644003520 25670837000 26286937088 26954378850 28751337440 30805004400 32656512000 32858671360 34501604928 35939171800 38506255500 39430405632 41073339200 43127006160 44923964750 46002139904 49288007040 51341674000 52573874176 53908757700 57502674880 61610008800 65313024000 65717342720 67385947125 69003209856 71878343600 77012511000 78860811264 82146678400 86254012320 89847929500 92004279808 98576014080 102683348000 107817515400 115005349760 123220017600 131434685440 134771894250 138006419712 143756687200 154025022000 157721622528 164293356800 172508024640 179695859000 184008559616 197152028160 205366696000 215635030800 230010699520 246440035200 262869370880 269543788500 276012839424 287513374400 308050044000 328586713600 345016049280 359391718000 368017119232 394304056320 410733392000 431270061600 460021399040 492880070400 539087577000 552025678848 575026748800 616100088000 657173427200 690032098560 718783436000 788608112640 821466784000 862540123200 920042798080 985760140800 1078175154000 1104051357696 1150053497600 1232200176000 1314346854400 1380064197120 1437566872000 1642933568000 1725080246400 1840085596160 1971520281600 2156350308000 2300106995200 2464400352000 2760128394240 2875133744000 3285867136000 3450160492800 3943040563200 4312700616000 4600213990400 4928800704000 5520256788480 5750267488000 6571734272000 6900320985600 8625401232000 9200427980800 9857601408000 11500534976000 13800641971200 17250802464000 19715202816000 23001069952000 27601283942400 34501604928000 46002139904000 69003209856000 138006419712000
• Sum of all divisors σ(n): 525060978624000
• Sum of proper divisors (its aliquot sum) s(n): 387054558912000
• 138006419712000 is an abundant number, because the sum of its proper divisors (387054558912000) is greater than itself. Its abundance is 249048139200000

Bases of 138006419712000

• Binary: 11111011000010000011111100111111010100000000000₂
• Hexadecimal: 0x7D841F9FA800
• Base-36: 1CX39V2QYO

Squares and roots of 138006419712000

• 138006419712000 squared (138006419712000²) is 19045771881724702162944000000
• 138006419712000 cubed (138006419712000³) is 2628438788048307269137443877552128000000000
• The square root of 138006419712000 is 11747613.3623813139
• The cube root of 138006419712000 is 51677.2938353633

Scales and comparisons

• 138,006,419,712,000 seconds is equal to 4,388,177 years, 13 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 138,006,419,712,000 would take you about ten million, nine hundred seventy thousand, four hundred forty-three 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 138006419712000 cubic inches would be around 4306.4 feet tall.

Recreational maths with 138006419712000

• 138006419712000 backwards is 000217914600831
• 138006419712000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138006419712000's digits is 42
• More coming soon!