138468124786800000
138,468,124,786,800,000 is an even composite number composed of six prime numbers multiplied together.
138468124786800000 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 138468124786800000:
27 × 3 × 55 × 232 × 312 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 23 × 23 × 31 × 31 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138468124786800000 from the Numbermatics database.
Names of 138468124786800000
- Cardinal: 138468124786800000 can be written as One hundred thirty-eight quadrillion, four hundred sixty-eight trillion, one hundred twenty-four billion, seven hundred eighty-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.384681247868 × 1017
Factors of 138468124786800000
Divisors of 138468124786800000
- Number of divisors d(n): 3456
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 48 50 60 61 62 64 69 75 80 92 93 96 100 115 120 122 124 125 128 138 150 155 160 183 184 186 192 200 230 240 244 248 250 276 300 305 310 320 345 366 368 372 375 384 400 460 465 480 488 496 500 529 552 575 600 610 620 625 640 690 713 732 736 744 750 775 800 915 920 930 960 961 976 992 1000 1058 1104 1150 1200 1220 1240 1250 1380 1403 1426 1464 1472 1488 1500 1525 1550 1587 1600 1725 1830 1840 1860 1875 1891 1920 1922 1952 1984 2000 2116 2139 2208 2300 2325 2400 2440 2480 2500 2645 2760 2806 2852 2875 2883 2928 2944 2976 3000 3050 3100 3125 3174 3200 3450 3565 3660 3680 3720 3721 3750 3782 3844 3875 3904 3968 4000 4209 4232 4278 4416 4575 4600 4650 4800 4805 4880 4960 5000 5290 5520 5612 5673 5704 5750 5766 5856 5952 6000 6100 6200 6250 6348 6900 7015 7130 7320 7360 7440 7442 7500 7564 7625 7688 7750 7808 7935 8000 8418 8464 8556 8625 8832 9150 9200 9300 9375 9455 9600 9610 9760 9920 10000 10580 10695 11040 11163 11224 11346 11408 11500 11532 11625 11712 11904 12000 12200 12400 12500 12696 13225 13800 14030 14260 14375 14415 14640 14720 14880 14884 15000 15128 15250 15376 15500 15870 16000 16399 16836 16928 17112 17250 17825 18300 18400 18600 18605 18750 18910 19220 19375 19520 19840 20000 21045 21160 21390 22080 22103 22326 22448 22692 22816 22875 23000 23064 23250 23424 24000 24025 24400 24800 25000 25392 26450 27600 28060 28365 28520 28750 28830 29280 29760 29768 30000 30256 30500 30752 31000 31740 32269 32798 33672 33856 34224 34500 35075 35650 36600 36800 37200 37210 37500 37820 38125 38440 38750 39040 39675 40000 42090 42320 42780 43125 43493 44160 44206 44652 44896 45384 45632 45750 46000 46128 46500 47275 48000 48050 48800 49197 49600 50000 50784 52900 53475 55200 55815 56120 56730 57040 57500 57660 58125 58560 58621 59520 59536 60000 60512 61000 61504 62000 63480 64538 65596 66125 66309 67344 67712 68448 69000 70150 71300 71875 72075 73200 73600 74400 74420 75000 75640 76250 76880 77500 79350 80000 81995 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567492314700000 576950519945000 602035325160000 692340623934000 721188149931250 744452283800000 752544156450000 756656419600000 865425779917500 893342740560000 923120831912000 1003392208600000 1081782224896875 1107744998294400 1116678425700000 1134984629400000 1153901039890000 1204070650320000 1384681247868000 1442376299862500 1488904567600000 1505088312900000 1730851559835000 1846241663824000 2006784417200000 2163564449793750 2233356851400000 2269969258800000 2307802079780000 2769362495736000 2884752599725000 3010176625800000 3461703119670000 4327128899587500 4466713702800000 4615604159560000 5538724991472000 5769505199450000 6020353251600000 6923406239340000 8654257799175000 9231208319120000 11539010398900000 13846812478680000 17308515598350000 23078020797800000 27693624957360000 34617031196700000 46156041595600000 69234062393400000 138468124786800000
- Sum of all divisors σ(n): 504864517255650720
- Sum of proper divisors (its aliquot sum) s(n): 366396392468850720
- 138468124786800000 is an abundant number, because the sum of its proper divisors (366396392468850720) is greater than itself. Its abundance is 227928267682050720
Bases of 138468124786800000
- Binary: 1111010111111000000000110100111101010000110110101100000002
- Hexadecimal: 0x1EBF0069EA1B580
- Base-36: 11VEUQD10VPC
Squares and roots of 138468124786800000
- 138468124786800000 squared (1384681247868000002) is 19173421581972816545454240000000000
- 138468124786800000 cubed (1384681247868000003) is 2654907732202536226741421398609156032000000000000000
-
The
square root of 138468124786800000 is 372113053.7710280329 -
The
cube root of 138468124786800000 is 517348.5905693571
Scales and comparisons
How big is 138468124786800000?- 138,468,124,786,800,000 seconds is equal to 4,402,858,058 years, 9 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 138,468,124,786,800,000 would take you about thirteen billion, two hundred eight million, five hundred seventy-four thousand, one hundred seventy-four 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 138468124786800000 cubic inches would be around 43112.4 feet tall.
Recreational maths with 138468124786800000
- 138468124786800000 backwards is 000008687421864831
- The number of decimal digits it has is: 18
- The sum of 138468124786800000's digits is 66
- More coming soon!
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"Number 138468124786800000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138468124786800000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138468124786800000/
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The information we have on file for 138468124786800000 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 138468124786800000, math, Factors of 138468124786800000, curriculum, school, college, exams, university, Prime factorization of 138468124786800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred sixty-eight trillion, one hundred twenty-four billion, seven hundred eighty-six million, eight hundred thousand.