138773440512000
138,773,440,512,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138773440512000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
138773440512000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138773440512000:
214 × 34 × 53 × 7 × 127 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 127 × 941)See below for interesting mathematical facts about the number 138773440512000 from the Numbermatics database.
Names of 138773440512000
- Cardinal: 138773440512000 can be written as One hundred thirty-eight trillion, seven hundred seventy-three billion, four hundred forty million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38773440512 × 1014
Factors of 138773440512000
Divisors of 138773440512000
- Number of divisors d(n): 2400
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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 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 127 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 250 252 254 256 270 280 288 300 315 320 324 336 350 360 375 378 381 384 400 405 420 432 448 450 480 500 504 508 512 525 540 560 567 576 600 630 635 640 648 672 675 700 720 750 756 762 768 800 810 840 864 875 889 896 900 941 945 960 1000 1008 1016 1024 1050 1080 1120 1125 1134 1143 1152 1200 1260 1270 1280 1296 1344 1350 1400 1440 1500 1512 1524 1536 1575 1600 1620 1680 1728 1750 1778 1792 1800 1882 1890 1905 1920 2000 2016 2025 2032 2048 2100 2160 2240 2250 2268 2286 2304 2400 2520 2540 2560 2592 2625 2667 2688 2700 2800 2823 2835 2880 3000 3024 3048 3072 3150 3175 3200 3240 3360 3375 3429 3456 3500 3556 3584 3600 3764 3780 3810 3840 4000 4032 4050 4064 4096 4200 4320 4445 4480 4500 4536 4572 4608 4705 4725 4800 5040 5080 5120 5184 5250 5334 5376 5400 5600 5646 5670 5715 5760 6000 6048 6096 6144 6300 6350 6400 6480 6587 6720 6750 6858 6912 7000 7112 7168 7200 7528 7560 7620 7680 7875 8000 8001 8064 8100 8128 8192 8400 8469 8640 8890 8960 9000 9072 9144 9216 9410 9450 9525 9600 10080 10125 10160 10240 10287 10368 10500 10668 10752 10800 11200 11292 11340 11430 11520 12000 12096 12192 12288 12600 12700 12800 12960 13174 13335 13440 13500 13716 13824 14000 14115 14175 14224 14336 14400 15056 15120 15240 15360 15750 15875 16000 16002 16128 16200 16256 16384 16800 16938 17145 17280 17780 17920 18000 18144 18288 18432 18820 18900 19050 19200 19761 20160 20250 20320 20480 20574 20736 21000 21336 21504 21600 22225 22400 22584 22680 22860 23040 23525 23625 24000 24003 24192 24384 24576 25200 25400 25407 25600 25920 26348 26670 26880 27000 27432 27648 28000 28230 28350 28448 28575 28672 28800 30112 30240 30480 30720 31500 31750 32000 32004 32256 32400 32512 32935 33600 33876 34290 34560 35560 35840 36000 36288 36576 36864 37640 37800 38100 38400 39522 40005 40320 40500 40640 40960 41148 41472 42000 42345 42672 43008 43200 44450 44800 45168 45360 45720 46080 47050 47250 47625 48000 48006 48384 48768 49152 50400 50800 50814 51200 51435 51840 52696 53340 53760 54000 54864 55296 56000 56460 56700 56896 57150 57344 57600 59283 60224 60480 60960 61440 63000 63500 64000 64008 64512 64800 65024 65870 66675 67200 67752 68580 69120 70575 70875 71120 71680 72000 72009 72576 73152 73728 75280 75600 76200 76221 76800 79044 80010 80640 81000 81280 81920 82296 82944 84000 84690 85344 85725 86016 86400 88900 89600 90336 90720 91440 92160 94100 94500 95250 96000 96012 96768 97536 98805 100800 101600 101628 102400 102870 103680 105392 106680 107520 108000 109728 110592 111125 112000 112920 113400 113792 114300 114688 115200 117625 118566 119507 120015 120448 120960 121920 122880 126000 127000 127035 128000 128016 129024 129600 130048 131740 133350 134400 135504 137160 138240 141150 141750 142240 142875 143360 144000 144018 145152 146304 147456 150560 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165206476800 171325235200 173466800640 180694584000 182117376000 183562752000 185031254016 192740889600 198247772160 205590282240 206508096000 214156544000 216833500800 218540851200 220275302400 231289067520 240926112000 244750336000 247809715200 256987852800 264330362880 271041876000 273176064000 275344128000 277546881024 289111334400 308385423360 309762144000 321234816000 330412953600 342650470400 346933601280 361389168000 364234752000 367125504000 370062508032 385481779200 396495544320 413016192000 428313088000 433667001600 440550604800 462578135040 481852224000 495619430400 513975705600 542083752000 546352128000 550688256000 555093762048 578222668800 616770846720 619524288000 642469632000 660825907200 693867202560 722778336000 734251008000 770963558400 792991088640 826032384000 856626176000 867334003200 925156270080 963704448000 991238860800 1027951411200 1084167504000 1092704256000 1101376512000 1110187524096 1156445337600 1239048576000 1284939264000 1321651814400 1387734405120 1445556672000 1541927116800 1652064768000 1713252352000 1734668006400 1850312540160 1927408896000 1982477721600 2168335008000 2202753024000 2312890675200 2478097152000 2569878528000 2775468810240 2891113344000 3083854233600 3304129536000 3469336012800 3854817792000 3964955443200 4336670016000 4625781350400 4956194304000 5139757056000 5550937620480 5782226688000 6608259072000 6938672025600 7709635584000 8673340032000 9251562700800 9912388608000 11564453376000 13877344051200 15419271168000 17346680064000 19824777216000 23128906752000 27754688102400 34693360128000 46257813504000 69386720256000 138773440512000
- Sum of all divisors σ(n): 596619589902336
- Sum of proper divisors (its aliquot sum) s(n): 457846149390336
- 138773440512000 is an abundant number, because the sum of its proper divisors (457846149390336) is greater than itself. Its abundance is 319072708878336
Bases of 138773440512000
- Binary: 111111000110110101101011010000001000000000000002
- Hexadecimal: 0x7E36B5A04000
- Base-36: 1D6VMZGG00
Squares and roots of 138773440512000
- 138773440512000 squared (1387734405120002) is 19258067791537602822144000000
- 138773440512000 cubed (1387734405120003) is 2672508325045006742249883700297728000000000
-
The
square root of 138773440512000 is 11780213.9416905329 -
The
cube root of 138773440512000 is 51772.8554569857
Scales and comparisons
How big is 138773440512000?- 138,773,440,512,000 seconds is equal to 4,412,566 years, 8 weeks.
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To count from 1 to 138,773,440,512,000 would take you about eleven million, thirty-one thousand, four hundred fifteen 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 138773440512000 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138773440512000
- 138773440512000 backwards is 000215044377831
- 138773440512000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138773440512000's digits is 45
- More coming soon!
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The information we have on file for 138773440512000 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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