138452768391168000000
138,452,768,391,168,000,000 is an even composite number composed of six prime numbers multiplied together.
138452768391168000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of fourteen thousand, seven hundred divisors.
Prime factorization of 138452768391168000000:
224 × 36 × 56 × 7 × 11 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 97 × 97)See below for interesting mathematical facts about the number 138452768391168000000 from the Numbermatics database.
Names of 138452768391168000000
- Cardinal: 138452768391168000000 can be written as One hundred thirty-eight quintillion, four hundred fifty-two quadrillion, seven hundred sixty-eight trillion, three hundred ninety-one billion, one hundred sixty-eight million.
Scientific notation
- Scientific notation: 1.38452768391168 × 1020
Factors of 138452768391168000000
Divisors of 138452768391168000000
- Number of divisors d(n): 14700
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 64 66 70 72 75 77 80 81 84 88 90 96 97 99 100 105 108 110 112 120 125 126 128 132 135 140 144 150 154 160 162 165 168 175 176 180 189 192 194 198 200 210 216 220 224 225 231 240 243 250 252 256 264 270 275 280 288 291 297 300 308 315 320 324 330 336 350 352 360 375 378 384 385 388 396 400 405 420 432 440 448 450 462 480 485 486 495 500 504 512 525 528 540 550 560 567 576 582 594 600 616 625 630 640 648 660 672 675 679 693 700 704 720 729 750 756 768 770 776 792 800 810 825 840 864 873 875 880 891 896 900 924 945 960 970 972 990 1000 1008 1024 1050 1056 1067 1080 1100 1120 1125 1134 1152 1155 1164 1188 1200 1215 1232 1250 1260 1280 1296 1320 1344 1350 1358 1375 1386 1400 1408 1440 1455 1458 1485 1500 1512 1536 1540 1552 1575 1584 1600 1620 1650 1680 1701 1728 1746 1750 1760 1782 1792 1800 1848 1875 1890 1920 1925 1940 1944 1980 2000 2016 2025 2037 2048 2079 2100 2112 2134 2160 2200 2240 2250 2268 2304 2310 2328 2376 2400 2425 2430 2464 2475 2500 2520 2560 2592 2619 2625 2640 2673 2688 2700 2716 2750 2772 2800 2816 2835 2880 2910 2916 2970 3000 3024 3072 3080 3104 3125 3150 3168 3200 3201 3240 3300 3360 3375 3395 3402 3456 3465 3492 3500 3520 3564 3584 3600 3645 3696 3750 3780 3840 3850 3880 3888 3960 4000 4032 4050 4074 4096 4125 4158 4200 4224 4268 4320 4365 4375 4400 4455 4480 4500 4536 4608 4620 4656 4725 4752 4800 4850 4860 4928 4950 5000 5040 5103 5120 5184 5238 5250 5280 5335 5346 5376 5400 5432 5500 5544 5600 5625 5632 5670 5760 5775 5820 5832 5940 6000 6048 6075 6111 6144 6160 6208 6237 6250 6300 6336 6400 6402 6480 6600 6720 6750 6790 6804 6875 6912 6930 6984 7000 7040 7128 7168 7200 7275 7290 7392 7425 7469 7500 7560 7680 7700 7760 7776 7857 7875 7920 8000 8019 8064 8100 8148 8192 8250 8316 8400 8448 8505 8536 8640 8730 8750 8800 8910 8960 9000 9072 9216 9240 9312 9375 9409 9450 9504 9600 9603 9625 9700 9720 9856 9900 10000 10080 10125 10185 10206 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2472370864128000000 2517323061657600000 2563940155392000000 2769055367823360000 2884432674816000000 3076728186470400000 3146653827072000000 3296494485504000000 3461319209779200000 3845910233088000000 3955793382604800000 4195538436096000000 4326649012224000000 4615092279705600000 4944741728256000000 5127880310784000000 5538110735646720000 5768865349632000000 6293307654144000000 6592988971008000000 6922638419558400000 7691820466176000000 8653298024448000000 9230184559411200000 9889483456512000000 11537730699264000000 12586615308288000000 13845276839116800000 15383640932352000000 17306596048896000000 19778966913024000000 23075461398528000000 27690553678233600000 34613192097792000000 46150922797056000000 69226384195584000000 138452768391168000000
- Sum of all divisors σ(n): 653746305515330113056
- Sum of proper divisors (its aliquot sum) s(n): 515293537124162113056
- 138452768391168000000 is an abundant number, because the sum of its proper divisors (515293537124162113056) is greater than itself. Its abundance is 376840768732994113056
Bases of 138452768391168000000
- Binary: 11110000001011010110000101101001100001011010000000000000000000000002
- Hexadecimal: 0x7816B0B4C2D000000
- Base-36: T7WDEAB4ZK000
Squares and roots of 138452768391168000000
- 138452768391168000000 squared (1384527683911680000002) is 19169169075178408859060404224000000000000
- 138452768391168000000 cubed (1384527683911680000003) is 2654024526216816329172022680592632231493632000000000000000000
-
The
square root of 138452768391168000000 is 11766595446.0569434503 -
The
cube root of 138452768391168000000 is 5173294.6485996161
Scales and comparisons
How big is 138452768391168000000?- 138,452,768,391,168,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,452,768,391,168,000,000 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 138452768391168000000 cubic inches would be around 431107.9 feet tall.
Recreational maths with 138452768391168000000
- 138452768391168000000 backwards is 000000861193867254831
- 138452768391168000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138452768391168000000's digits is 72
- More coming soon!
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"Number 138452768391168000000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138452768391168000000 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138452768391168000000/
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The information we have on file for 138452768391168000000 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 138452768391168000000, math, Factors of 138452768391168000000, curriculum, school, college, exams, university, Prime factorization of 138452768391168000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred fifty-two quadrillion, seven hundred sixty-eight trillion, three hundred ninety-one billion, one hundred sixty-eight million.