138201918400000
138,201,918,400,000 is an even composite number composed of seven prime numbers multiplied together.
138201918400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138201918400000:
29 × 55 × 7 × 13 × 31 × 67 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 13 × 31 × 67 × 457)See below for interesting mathematical facts about the number 138201918400000 from the Numbermatics database.
Names of 138201918400000
- Cardinal: 138201918400000 can be written as One hundred thirty-eight trillion, two hundred one billion, nine hundred eighteen million, four hundred thousand.
Scientific notation
- Scientific notation: 1.382019184 × 1014
Factors of 138201918400000
Divisors of 138201918400000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 67 70 80 91 100 104 112 124 125 128 130 134 140 155 160 175 182 200 208 217 224 248 250 256 260 268 280 310 320 325 335 350 364 400 403 416 434 448 455 457 469 496 500 512 520 536 560 620 625 640 650 670 700 728 775 800 806 832 868 871 875 896 910 914 938 992 1000 1040 1072 1085 1120 1240 1250 1280 1300 1340 1400 1456 1550 1600 1612 1625 1664 1675 1736 1742 1750 1792 1820 1828 1876 1984 2000 2015 2077 2080 2144 2170 2240 2275 2285 2345 2480 2500 2560 2600 2680 2800 2821 2912 3100 3125 3199 3200 3224 3250 3328 3350 3472 3484 3500 3584 3640 3656 3752 3875 3968 4000 4030 4154 4160 4288 4340 4355 4375 4480 4550 4570 4690 4960 5000 5200 5360 5425 5600 5642 5824 5941 6097 6200 6250 6398 6400 6448 6500 6656 6700 6944 6968 7000 7280 7312 7504 7750 7936 8000 8060 8125 8308 8320 8375 8576 8680 8710 8750 8960 9100 9140 9380 9920 10000 10075 10385 10400 10720 10850 11200 11284 11375 11425 11648 11725 11882 12194 12400 12500 12796 12800 12896 13000 13400 13888 13936 14000 14105 14167 14539 14560 14624 15008 15500 15872 15995 16000 16120 16250 16616 16640 16750 17152 17360 17420 17500 17920 18200 18280 18760 19375 19840 20000 20150 20770 20800 21440 21700 21775 21875 22400 22568 22750 22850 23296 23450 23764 24388 24800 25000 25592 25792 26000 26800 27001 27125 27776 27872 28000 28210 28334 29078 29120 29248 29705 30016 30485 30619 31000 31990 32000 32240 32500 33232 33280 33500 34304 34720 34840 35000 36400 36560 37520 38750 39680 40000 40300 40625 41540 41587 41600 41875 42880 43400 43550 43750 44800 45136 45500 45700 46592 46900 47528 48776 49600 50000 50375 51184 51584 51925 52000 53600 54002 54250 55552 55744 56000 56420 56668 56875 57125 58156 58240 58496 58625 59410 60032 60970 61238 62000 63980 64000 64480 65000 66464 67000 69440 69680 70000 70525 70835 72695 72800 73120 75040 77500 79360 79975 80000 80600 81250 83080 83174 83200 83750 85760 86800 87100 87500 89600 90272 91000 91400 93800 95056 96875 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1079702487500 1105615347200 1114531600000 1233945700000 1328864600000 1382019184000 1518702400000 1727523980000 1974313120000 2062715200000 2126183360000 2159404975000 2229063200000 2467891400000 2657729200000 2764038368000 3455047960000 3948626240000 4318809950000 4458126400000 4935782800000 5315458400000 5528076736000 6910095920000 8637619900000 9871565600000 10630916800000 13820191840000 17275239800000 19743131200000 27640383680000 34550479600000 69100959200000 138201918400000
- Sum of all divisors σ(n): 446015821160448
- Sum of proper divisors (its aliquot sum) s(n): 307813902760448
- 138201918400000 is an abundant number, because the sum of its proper divisors (307813902760448) is greater than itself. Its abundance is 169611984360448
Bases of 138201918400000
- Binary: 111110110110001101001000100000011100110000000002
- Hexadecimal: 0x7DB1A440E600
- Base-36: 1CZL31Y41S
Squares and roots of 138201918400000
- 138201918400000 squared (1382019184000002) is 19099770249440258560000000000
- 138201918400000 cubed (1382019184000003) is 2639624889471890259184021504000000000000000
-
The
square root of 138201918400000 is 11755931.2008874907 -
The
cube root of 138201918400000 is 51701.6841895295
Scales and comparisons
How big is 138201918400000?- 138,201,918,400,000 seconds is equal to 4,394,393 years, 26 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,201,918,400,000 would take you about ten million, nine hundred eighty-five thousand, nine hundred eighty-three 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 138201918400000 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138201918400000
- 138201918400000 backwards is 000004819102831
- The number of decimal digits it has is: 15
- The sum of 138201918400000's digits is 37
- More coming soon!
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The information we have on file for 138201918400000 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!
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