138364679225344000000
138,364,679,225,344,000,000 is an even composite number composed of five prime numbers multiplied together.
138364679225344000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight thousand and sixty-four divisors.
Prime factorization of 138364679225344000000:
223 × 56 × 113 × 133 × 192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 19 × 19)See below for interesting mathematical facts about the number 138364679225344000000 from the Numbermatics database.
Names of 138364679225344000000
- Cardinal: 138364679225344000000 can be written as One hundred thirty-eight quintillion, three hundred sixty-four quadrillion, six hundred seventy-nine trillion, two hundred twenty-five billion, three hundred forty-four million.
Scientific notation
- Scientific notation: 1.38364679225344 × 1020
Factors of 138364679225344000000
Divisors of 138364679225344000000
- Number of divisors d(n): 8064
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 32 38 40 44 50 52 55 64 65 76 80 88 95 100 104 110 121 125 128 130 143 152 160 169 176 190 200 208 209 220 242 247 250 256 260 275 286 304 320 325 338 352 361 380 400 416 418 440 475 484 494 500 512 520 550 572 605 608 625 640 650 676 704 715 722 760 800 832 836 845 880 950 968 988 1000 1024 1040 1045 1100 1144 1210 1216 1235 1250 1280 1300 1331 1352 1375 1408 1430 1444 1520 1573 1600 1625 1664 1672 1690 1760 1805 1859 1900 1936 1976 2000 2048 2080 2090 2197 2200 2288 2299 2375 2420 2432 2470 2500 2560 2600 2662 2704 2717 2750 2816 2860 2888 3025 3040 3125 3146 3200 3211 3250 3328 3344 3380 3520 3575 3610 3718 3800 3872 3952 3971 4000 4096 4160 4180 4225 4394 4400 4576 4598 4693 4750 4840 4864 4940 5000 5120 5200 5225 5324 5408 5434 5500 5632 5720 5776 6050 6080 6175 6250 6292 6400 6422 6500 6655 6656 6688 6760 6875 7040 7150 7220 7436 7600 7744 7865 7904 7942 8000 8125 8192 8320 8360 8450 8788 8800 9025 9152 9196 9295 9386 9500 9680 9728 9880 10000 10240 10400 10450 10648 10816 10868 10985 11000 11264 11440 11495 11552 11875 12100 12160 12350 12500 12584 12800 12844 13000 13310 13312 13376 13520 13585 13750 14080 14300 14440 14872 15125 15200 15488 15625 15730 15808 15884 16000 16055 16250 16384 16640 16720 16900 17303 17576 17600 17875 18050 18304 18392 18590 18772 19000 19360 19456 19760 19855 20000 20449 20480 20800 20900 21125 21296 21632 21736 21970 22000 22528 22880 22990 23104 23465 23750 24167 24200 24320 24700 25000 25168 25289 25600 25688 26000 26125 26620 26624 26752 27040 27170 27500 28160 28600 28880 29744 29887 30250 30400 30875 30976 31250 31460 31616 31768 32000 32110 32500 32768 33275 33280 33440 33800 34375 34606 35152 35200 35321 35750 36100 36608 36784 37180 37544 38000 38720 38912 39325 39520 39710 40000 40625 40898 40960 41600 41743 41800 42250 42592 43264 43472 43681 43940 44000 45056 45125 45760 45980 46208 46475 46930 47500 48334 48400 48640 49400 50000 50336 50578 51200 51376 51623 52000 52250 53240 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- Sum of all divisors σ(n): 434998099490414896800
- Sum of proper divisors (its aliquot sum) s(n): 296633420265070896800
- 138364679225344000000 is an abundant number, because the sum of its proper divisors (296633420265070896800) is greater than itself. Its abundance is 158268741039726896800
Bases of 138364679225344000000
- Binary: 11110000000001100100001011010101010111111111000000000000000000000002
- Hexadecimal: 0x7803216AAFF800000
- Base-36: T78A1A70QT3B4
Squares and roots of 138364679225344000000
- 138364679225344000000 squared (1383646792253440000002) is 19144784457132341499931918336000000000000
- 138364679225344000000 cubed (1383646792253440000003) is 2648961960249468000864488765375512349507584000000000000000000
-
The
square root of 138364679225344000000 is 11762851662.1329540595 -
The
cube root of 138364679225344000000 is 5172197.2637974747
Scales and comparisons
How big is 138364679225344000000?- 138,364,679,225,344,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,364,679,225,344,000,000 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 138364679225344000000 cubic inches would be around 431016.4 feet tall.
Recreational maths with 138364679225344000000
- 138364679225344000000 backwards is 000000443522976463831
- The number of decimal digits it has is: 21
- The sum of 138364679225344000000's digits is 67
- More coming soon!
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"Number 138364679225344000000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138364679225344000000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138364679225344000000/
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The information we have on file for 138364679225344000000 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 138364679225344000000, math, Factors of 138364679225344000000, curriculum, school, college, exams, university, Prime factorization of 138364679225344000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred sixty-four quadrillion, six hundred seventy-nine trillion, two hundred twenty-five billion, three hundred forty-four million.