138397382344704000
138,397,382,344,704,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138397382344704000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
138397382344704000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138397382344704000:
223 × 3 × 53 × 7 × 232 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 23 × 23 × 109 × 109)See below for interesting mathematical facts about the number 138397382344704000 from the Numbermatics database.
Names of 138397382344704000
- Cardinal: 138397382344704000 can be written as One hundred thirty-eight quadrillion, three hundred ninety-seven trillion, three hundred eighty-two billion, three hundred forty-four million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.38397382344704 × 1017
Factors of 138397382344704000
Divisors of 138397382344704000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 100 105 109 112 115 120 125 128 138 140 150 160 161 168 175 184 192 200 210 218 224 230 240 250 256 276 280 300 320 322 327 336 345 350 368 375 384 400 420 436 448 460 480 483 500 512 525 529 545 552 560 575 600 640 644 654 672 690 700 736 750 763 768 800 805 840 872 875 896 920 960 966 1000 1024 1050 1058 1090 1104 1120 1150 1200 1280 1288 1308 1344 1380 1400 1472 1500 1526 1536 1587 1600 1610 1635 1680 1725 1744 1750 1792 1840 1920 1932 2000 2048 2100 2116 2180 2208 2240 2289 2300 2400 2415 2507 2560 2576 2616 2625 2645 2688 2725 2760 2800 2875 2944 3000 3052 3072 3174 3200 3220 3270 3360 3450 3488 3500 3584 3680 3703 3815 3840 3864 4000 4025 4096 4200 4232 4360 4416 4480 4578 4600 4800 4830 5014 5120 5152 5232 5250 5290 5376 5450 5520 5600 5750 5888 6000 6104 6144 6348 6400 6440 6540 6720 6900 6976 7000 7168 7360 7406 7521 7630 7680 7728 7935 8000 8050 8175 8192 8400 8464 8625 8720 8832 8960 9156 9200 9600 9660 10028 10240 10304 10464 10500 10580 10752 10900 11040 11109 11200 11445 11500 11776 11881 12000 12075 12208 12288 12535 12696 12800 12880 13080 13225 13440 13625 13800 13952 14000 14336 14720 14812 15042 15260 15360 15456 15870 16000 16100 16350 16384 16800 16928 17250 17440 17549 17664 17920 18312 18400 18515 19075 19200 19320 20056 20125 20480 20608 20928 21000 21160 21504 21800 22080 22218 22400 22890 23000 23552 23762 24000 24150 24416 24576 25070 25392 25600 25760 26160 26450 26880 27250 27600 27904 28000 28672 29440 29624 30084 30520 30720 30912 31740 32000 32200 32700 32768 33600 33856 34500 34880 35098 35328 35643 35840 36624 36800 37030 37605 38150 38400 38640 39675 40112 40250 40875 40960 41216 41856 42000 42320 43008 43600 44160 44436 44800 45780 46000 47104 47524 48000 48300 48832 49152 50140 50784 51200 51520 52320 52647 52900 53760 54500 55200 55545 55808 56000 57225 57344 57661 58880 59248 59405 60168 60375 61040 61440 61824 62675 63480 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823793942528000 859611070464000 864983639654400 922649215631360 988552731033600 1002879582208000 1081229549568000 1107179058757632 1153311519539200 1203455498649600 1235690913792000 1269700755456000 1318070308044800 1383973823447040 1441639399424000 1504319373312000 1647587885056000 1729967279308800 1845298431262720 1977105462067200 2005759164416000 2162459099136000 2306623039078400 2471381827584000 2767947646894080 2883278798848000 3008638746624000 3295175770112000 3459934558617600 3954210924134400 4324918198272000 4613246078156800 4942763655168000 5535895293788160 5766557597696000 6017277493248000 6590351540224000 6919869117235200 8649836396544000 9226492156313600 9885527310336000 11533115195392000 13839738234470400 17299672793088000 19771054620672000 23066230390784000 27679476468940800 34599345586176000 46132460781568000 69198691172352000 138397382344704000
- Sum of all divisors σ(n): 555360491916397440
- Sum of proper divisors (its aliquot sum) s(n): 416963109571693440
- 138397382344704000 is an abundant number, because the sum of its proper divisors (416963109571693440) is greater than itself. Its abundance is 278565727226989440
Bases of 138397382344704000
- Binary: 1111010111010111110101111100111001000000000000000000000002
- Hexadecimal: 0x1EBAFAF9C800000
- Base-36: 11UPRZQDIL1C
Squares and roots of 138397382344704000
- 138397382344704000 squared (1383973823447040002) is 19153835439866186448676847616000000
- 138397382344704000 cubed (1383973823447040003) is 2650840686738702326284387007672045392625664000000000
-
The
square root of 138397382344704000 is 372017986.5876164863 -
The
cube root of 138397382344704000 is 517260.4722456599
Scales and comparisons
How big is 138397382344704000?- 138,397,382,344,704,000 seconds is equal to 4,400,608,667 years, 18 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,397,382,344,704,000 would take you about thirteen billion, two hundred one million, eight hundred twenty-six thousand and two 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 138397382344704000 cubic inches would be around 43105 feet tall.
Recreational maths with 138397382344704000
- 138397382344704000 backwards is 000407443283793831
- The number of decimal digits it has is: 18
- The sum of 138397382344704000's digits is 66
- More coming soon!
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"Number 138397382344704000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138397382344704000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138397382344704000/
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The information we have on file for 138397382344704000 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!
Keywords: Divisors of 138397382344704000, math, Factors of 138397382344704000, curriculum, school, college, exams, university, Prime factorization of 138397382344704000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred ninety-seven trillion, three hundred eighty-two billion, three hundred forty-four million, seven hundred four thousand.