138540506328000

Names of 138540506328000

• Cardinal: 138540506328000 can be written as One hundred thirty-eight trillion, five hundred forty billion, five hundred six million, three hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.38540506328 × 10¹⁴

Factors of 138540506328000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 13089634

Divisors of 138540506328000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 270 280 288 294 300 315 320 336 350 360 375 378 392 400 420 432 441 448 450 480 490 500 504 525 540 560 576 588 600 630 672 675 700 720 735 750 756 784 800 840 864 875 882 900 945 960 980 1000 1008 1050 1080 1120 1125 1176 1200 1225 1260 1323 1344 1350 1400 1440 1470 1500 1512 1568 1575 1600 1680 1728 1750 1764 1800 1890 1960 2000 2016 2100 2160 2205 2240 2250 2352 2400 2450 2520 2625 2646 2700 2800 2880 2940 3000 3024 3136 3150 3360 3375 3500 3528 3600 3675 3780 3920 4000 4032 4200 4320 4410 4500 4704 4725 4800 4900 5040 5250 5292 5400 5600 5880 6000 6048 6125 6300 6615 6720 6750 7000 7056 7200 7350 7560 7840 7875 8000 8400 8640 8820 9000 9408 9450 9800 10080 10500 10584 10800 11025 11200 11760 12000 12096 12250 12600 13230 13500 14000 14112 14400 14700 15120 15680 15750 16800 17640 18000 18375 18900 19600 20160 21000 21168 21600 22050 23520 23625 24000 24500 25200 26460 27000 28000 28224 29400 30240 31500 33075 33600 35280 36000 36750 37800 39200 42000 42336 43200 44100 47040 47250 49000 50400 52920 54000 55125 56000 58800 60480 63000 66150 70560 72000 73500 75600 78400 84000 84672 88200 94500 98000 100800 105840 108000 110250 117600 126000 132300 141120 147000 151200 165375 168000 176400 189000 196000 211680 216000 220500 235200 252000 264600 294000 302400 330750 352800 378000 392000 423360 441000 504000 529200 588000 661500 705600 756000 882000 1058400 1176000 1323000 1512000 1764000 2116800 2646000 3528000 5292000 10584000 13089617 26179234 39268851 52358468 65448085 78537702 91627319 104716936 117806553 130896170 157075404 183254638 196344255 209433872 235613106 261792340 274881957 314150808 327240425 353419659 366509276 392688510 418867744 458136595 471226212 523584680 549763914 589032765 628301616 641391233 654480850 706839318 733018552 785377020 824645871 837735488 916273190 942452424 981721275 1047169360 1099527828 1178065530 1256603232 1282782466 1308961700 1374409785 1413678636 1466037104 1570754040 1636202125 1649291742 1767098295 1832546380 1884904848 1924173699 1963442550 2094338720 2199055656 2290682975 2356131060 2473937613 2513206464 2565564932 2617923400 2748819570 2827357272 2932074208 2945163825 3141508080 3206956165 3272404250 3298583484 3534196590 3665092760 3769809696 3848347398 3926885100 4123229355 4188677440 4398111312 4581365950 4712262120 4908606375 4947875226 5131129864 5235846800 5497639140 5654714544 5772521097 5864148416 5890327650 6283016160 6413912330 6544808500 6597166968 6872048925 7068393180 7330185520 7539619392 7696694796 7853770200 8246458710 8796222624 8835491475 9162731900 9424524240 9620868495 9817212750 9895750452 10262259728 10471693600 10995278280 11309429088 11453414875 11545042194 11780655300 12369688065 12566032320 12827824660 13089617000 13194333936 13744097850 14136786360 14660371040 14725819125 15393389592 15707540400 16034780825 16492917420 17317563291 17592445248 17670982950 18325463800 18849048480 19241736990 19634425500 19791500904 20524519456 20616146775 20943387200 21990556560 22618858176 22906829750 23090084388 23561310600 24739376130 25655649320 26179234000 26388667872 27488195700 28273572720 28862605485 29320742080 29451638250 30786779184 31415080800 32069561650 32985834840 34360244625 34635126582 35341965900 36650927600 37698096960 38483473980 39268851000 39583001808 41049038912 41232293550 43981113120 44177457375 45813659500 46180168776 47122621200 48104342475 49478752260 51311298640 52358468000 52777335744 54976391400 56547145440 57725210970 58903276500 61573558368 61848440325 62830161600 64139123300 65971669680 68720489250 69270253164 70683931800 73301855200 76966947960 78537702000 79166003616 80173904125 82464587100 86587816455 87962226240 88354914750 91627319000 92360337552 94245242400 96208684950 98957504520 102622597280 103080733875 104716936000 109952782800 113094290880 115450421940 117806553000 123147116736 123696880650 128278246600 131943339360 137440978500 138540506328 141367863600 144313027425 146603710400 153933895920 157075404000 158332007232 160347808250 164929174200 173175632910 176709829500 183254638000 184720675104 188490484800 192417369900 197915009040 205245194560 206161467750 219905565600 230900843880 235613106000 240521712375 247393761300 256556493200 263886678720 274881957000 277081012656 282735727200 288626054850 307867791840 309242201625 314150808000 320695616500 329858348400 346351265820 353419659000 366509276000 369441350208 384834739800 395830018080 412322935500 432939082275 439811131200 461801687760 471226212000 481043424750 494787522600 513112986400 549763914000 554162025312 565471454400 577252109700 615735583680 618484403250 641391233000 659716696800 692702531640 706839318000 721565137125 733018552000 769669479600 791660036160 824645871000 865878164550 923603375520 942452424000 962086849500 989575045200 1026225972800 1099527828000 1108324050624 1154504219400 1236968806500 1282782466000 1319433393600 1385405063280 1413678636000 1443130274250 1539338959200 1649291742000 1731756329100 1847206751040 1924173699000 1979150090400 2164695411375 2199055656000 2309008438800 2473937613000 2565564932000 2770810126560 2827357272000 2886260548500 3078677918400 3298583484000 3463512658200 3848347398000 3958300180800 4329390822750 4618016877600 4947875226000 5131129864000 5541620253120 5772521097000 6597166968000 6927025316400 7696694796000 8658781645500 9236033755200 9895750452000 11545042194000 13854050632800 15393389592000 17317563291000 19791500904000 23090084388000 27708101265600 34635126582000 46180168776000 69270253164000 138540506328000
• Sum of all divisors σ(n): 591275846940480
• Sum of proper divisors (its aliquot sum) s(n): 452735340612480
• 138540506328000 is an abundant number, because the sum of its proper divisors (452735340612480) is greater than itself. Its abundance is 314194834284480

Bases of 138540506328000

• Binary: 11111100000000001111001101010101010101111000000₂
• Hexadecimal: 0x7E0079AAABC0
• Base-36: 1D3WMOGHC0

Squares and roots of 138540506328000

• 138540506328000 squared (138540506328000²) is 19193471893618608043584000000
• 138540506328000 cubed (138540506328000³) is 2659073314334158910480700851799552000000000
• The square root of 138540506328000 is 11770323.1190991525
• The cube root of 138540506328000 is 51743.8719532167

Scales and comparisons

• 138,540,506,328,000 seconds is equal to 4,405,159 years, 29 weeks, 3 days, 12 hours.
• To count from 1 to 138,540,506,328,000 would take you about eleven million, twelve thousand, eight hundred ninety-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 138540506328000 cubic inches would be around 4312 feet tall.

Recreational maths with 138540506328000

• 138540506328000 backwards is 000823605045831
• 138540506328000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138540506328000's digits is 45
• More coming soon!