138141855618624000000
138,141,855,618,624,000,000 is an even composite number composed of six prime numbers multiplied together.
138141855618624000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eleven thousand, six hundred forty-eight divisors.
Prime factorization of 138141855618624000000:
212 × 33 × 56 × 11 × 133 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 149 × 149 × 149)See below for interesting mathematical facts about the number 138141855618624000000 from the Numbermatics database.
Names of 138141855618624000000
- Cardinal: 138141855618624000000 can be written as One hundred thirty-eight quintillion, one hundred forty-one quadrillion, eight hundred fifty-five trillion, six hundred eighteen billion, six hundred twenty-four million.
Scientific notation
- Scientific notation: 1.38141855618624 × 1020
Factors of 138141855618624000000
Divisors of 138141855618624000000
- Number of divisors d(n): 11648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 125 128 130 132 135 143 144 149 150 156 160 165 169 176 180 192 195 198 200 208 216 220 225 234 240 250 256 260 264 270 275 286 288 297 298 300 312 320 325 330 338 351 352 360 375 384 390 396 400 416 429 432 440 447 450 468 480 495 500 507 512 520 528 540 550 572 576 585 594 596 600 624 625 640 650 660 675 676 702 704 715 720 745 750 768 780 792 800 825 832 845 858 864 880 894 900 936 960 975 990 1000 1014 1024 1040 1056 1080 1100 1125 1144 1152 1170 1188 1192 1200 1248 1250 1280 1287 1300 1320 1341 1350 1352 1375 1404 1408 1430 1440 1485 1490 1500 1521 1536 1560 1584 1600 1625 1639 1650 1664 1690 1716 1728 1755 1760 1788 1800 1859 1872 1875 1920 1937 1950 1980 2000 2028 2048 2080 2112 2145 2160 2197 2200 2235 2250 2288 2304 2340 2376 2384 2400 2475 2496 2500 2535 2560 2574 2600 2640 2682 2700 2704 2750 2808 2816 2860 2880 2925 2970 2980 3000 3042 3072 3120 3125 3168 3200 3250 3278 3300 3328 3375 3380 3432 3456 3510 3520 3575 3576 3600 3718 3725 3744 3750 3840 3861 3874 3900 3960 4000 4023 4056 4096 4125 4160 4224 4225 4290 4320 4394 4400 4470 4500 4563 4576 4608 4680 4752 4768 4800 4875 4917 4950 4992 5000 5070 5120 5148 5200 5280 5364 5400 5408 5500 5577 5616 5625 5632 5720 5760 5811 5850 5940 5960 6000 6084 6144 6240 6250 6336 6400 6435 6500 6556 6591 6600 6656 6705 6750 6760 6864 6875 6912 7020 7040 7150 7152 7200 7425 7436 7450 7488 7500 7605 7680 7722 7748 7800 7920 8000 8046 8112 8125 8195 8250 8320 8448 8450 8580 8640 8775 8788 8800 8940 9000 9126 9152 9216 9295 9360 9375 9504 9536 9600 9685 9750 9834 9900 9984 10000 10140 10240 10296 10400 10560 10725 10728 10800 10816 10985 11000 11154 11175 11232 11250 11264 11440 11520 11622 11700 11880 11920 12000 12168 12288 12375 12480 12500 12672 12675 12800 12870 13000 13112 13182 13200 13312 13410 13500 13520 13728 13750 13824 14040 14080 14300 14304 14400 14625 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8633865976164000000 9209457041241600000 10626296586048000000 11511821301552000000 12558350510784000000 13814185561862400000 15349095068736000000 17267731952328000000 23023642603104000000 27628371123724800000 34535463904656000000 46047285206208000000 69070927809312000000 138141855618624000000
- Sum of all divisors σ(n): 608643457145277120000
- Sum of proper divisors (its aliquot sum) s(n): 470501601526653120000
- 138141855618624000000 is an abundant number, because the sum of its proper divisors (470501601526653120000) is greater than itself. Its abundance is 332359745908029120000
Bases of 138141855618624000000
- Binary: 11101111101000110100111010111000111001110010110001000010000000000002
- Hexadecimal: 0x77D1A75C739621000
- Base-36: T5JC0WN8OR9C0
Squares and roots of 138141855618624000000
- 138141855618624000000 squared (1381418556186240000002) is 19083172273756759197735653376000000000000
- 138141855618624000000 cubed (1381418556186240000003) is 2636184828986634899044016358937673314074624000000000000000000
-
The
square root of 138141855618624000000 is 11753376349.7398482649 -
The
cube root of 138141855618624000000 is 5169419.3225193169
Scales and comparisons
How big is 138141855618624000000?- 138,141,855,618,624,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,141,855,618,624,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138141855618624000000 cubic inches would be around 430784.9 feet tall.
Recreational maths with 138141855618624000000
- 138141855618624000000 backwards is 000000426816558141831
- The number of decimal digits it has is: 21
- The sum of 138141855618624000000's digits is 63
- More coming soon!
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"Number 138141855618624000000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 138141855618624000000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138141855618624000000/
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Numbermatics. 2024. "Number 138141855618624000000 - Facts about the integer". https://numbermatics.com/n/138141855618624000000/
The information we have on file for 138141855618624000000 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 138141855618624000000, math, Factors of 138141855618624000000, curriculum, school, college, exams, university, Prime factorization of 138141855618624000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred forty-one quadrillion, eight hundred fifty-five trillion, six hundred eighteen billion, six hundred twenty-four million.