138309899806310400000
138,309,899,806,310,400,000 is an even composite number composed of five prime numbers multiplied together.
138309899806310400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six thousand, three hundred divisors.
Prime factorization of 138309899806310400000:
224 × 36 × 55 × 7 × 7192
(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 × 7 × 719 × 719)See below for interesting mathematical facts about the number 138309899806310400000 from the Numbermatics database.
Names of 138309899806310400000
- Cardinal: 138309899806310400000 can be written as One hundred thirty-eight quintillion, three hundred nine quadrillion, eight hundred ninety-nine trillion, eight hundred six billion, three hundred ten million, four hundred thousand.
Scientific notation
- Scientific notation: 1.383098998063104 × 1020
Factors of 138309899806310400000
Divisors of 138309899806310400000
- Number of divisors d(n): 6300
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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 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 512 525 540 560 567 576 600 625 630 640 648 672 675 700 719 720 729 750 756 768 800 810 840 864 875 896 900 945 960 972 1000 1008 1024 1050 1080 1120 1125 1134 1152 1200 1215 1250 1260 1280 1296 1344 1350 1400 1438 1440 1458 1500 1512 1536 1575 1600 1620 1680 1701 1728 1750 1792 1800 1875 1890 1920 1944 2000 2016 2025 2048 2100 2157 2160 2240 2250 2268 2304 2400 2430 2500 2520 2560 2592 2625 2688 2700 2800 2835 2876 2880 2916 3000 3024 3072 3125 3150 3200 3240 3360 3375 3402 3456 3500 3584 3595 3600 3645 3750 3780 3840 3888 4000 4032 4050 4096 4200 4314 4320 4375 4480 4500 4536 4608 4725 4800 4860 5000 5033 5040 5103 5120 5184 5250 5376 5400 5600 5625 5670 5752 5760 5832 6000 6048 6075 6144 6250 6300 6400 6471 6480 6720 6750 6804 6912 7000 7168 7190 7200 7290 7500 7560 7680 7776 7875 8000 8064 8100 8192 8400 8505 8628 8640 8750 8960 9000 9072 9216 9375 9450 9600 9720 10000 10066 10080 10125 10206 10240 10368 10500 10752 10785 10800 11200 11250 11340 11504 11520 11664 12000 12096 12150 12288 12500 12600 12800 12942 12960 13125 13440 13500 13608 13824 14000 14175 14336 14380 14400 14580 15000 15099 15120 15360 15552 15750 16000 16128 16200 16384 16800 16875 17010 17256 17280 17500 17920 17975 18000 18144 18225 18432 18750 18900 19200 19413 19440 20000 20132 20160 20250 20412 20480 20736 21000 21504 21570 21600 21875 22400 22500 22680 23008 23040 23328 23625 24000 24192 24300 24576 25000 25165 25200 25515 25600 25884 25920 26250 26880 27000 27216 27648 28000 28125 28350 28672 28760 28800 29160 30000 30198 30240 30375 30720 31104 31500 32000 32256 32355 32400 32768 33600 33750 34020 34512 34560 35000 35840 35950 36000 36288 36450 36864 37500 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11525824983859200000 13830989980631040000 15367766645145600000 17288737475788800000 19758557115187200000 23051649967718400000 27661979961262080000 34577474951577600000 46103299935436800000 69154949903155200000 138309899806310400000
- Sum of all divisors σ(n): 593272874799577942704
- Sum of proper divisors (its aliquot sum) s(n): 454962974993267542704
- 138309899806310400000 is an abundant number, because the sum of its proper divisors (454962974993267542704) is greater than itself. Its abundance is 316653075186957142704
Bases of 138309899806310400000
- Binary: 11101111111011011110111100100010011100110110000000000000000000000002
- Hexadecimal: 0x77F6F79139B000000
- Base-36: T6TANLLBSW000
Squares and roots of 138309899806310400000
- 138309899806310400000 squared (1383098998063104000002) is 19129628384431621623435661148160000000000
- 138309899806310400000 cubed (1383098998063104000003) is 2645816985182689073646016930241290950477348864000000000000000
-
The
square root of 138309899806310400000 is 11760522939.3216354543 -
The
cube root of 138309899806310400000 is 5171514.6055696277
Scales and comparisons
How big is 138309899806310400000?- 138,309,899,806,310,400,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,309,899,806,310,400,000 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 138309899806310400000 cubic inches would be around 430959.6 feet tall.
Recreational maths with 138309899806310400000
- 138309899806310400000 backwards is 000004013608998903831
- 138309899806310400000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138309899806310400000's digits is 72
- More coming soon!
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The information we have on file for 138309899806310400000 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 138309899806310400000, math, Factors of 138309899806310400000, curriculum, school, college, exams, university, Prime factorization of 138309899806310400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred nine quadrillion, eight hundred ninety-nine trillion, eight hundred six billion, three hundred ten million, four hundred thousand.