138435840
138,435,840 is an even composite number composed of five prime numbers multiplied together.
138435840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138435840:
28 × 32 × 5 × 61 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 61 × 197)See below for interesting mathematical facts about the number 138435840 from the Numbermatics database.
Names of 138435840
- Cardinal: 138435840 can be written as One hundred thirty-eight million, four hundred thirty-five thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3843584 × 108
Factors of 138435840
Divisors of 138435840
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 64 72 80 90 96 120 122 128 144 160 180 183 192 197 240 244 256 288 305 320 360 366 384 394 480 488 549 576 591 610 640 720 732 768 788 915 960 976 985 1098 1152 1182 1220 1280 1440 1464 1576 1773 1830 1920 1952 1970 2196 2304 2364 2440 2745 2880 2928 2955 3152 3546 3660 3840 3904 3940 4392 4728 4880 5490 5760 5856 5910 6304 7092 7320 7808 7880 8784 8865 9456 9760 10980 11520 11712 11820 12017 12608 14184 14640 15616 15760 17568 17730 18912 19520 21960 23424 23640 24034 25216 28368 29280 31520 35136 35460 36051 37824 39040 43920 46848 47280 48068 50432 56736 58560 60085 63040 70272 70920 72102 75648 78080 87840 94560 96136 108153 113472 117120 120170 126080 140544 141840 144204 151296 175680 180255 189120 192272 216306 226944 234240 240340 252160 283680 288408 351360 360510 378240 384544 432612 453888 480680 540765 567360 576816 702720 721020 756480 769088 865224 961360 1081530 1134720 1153632 1442040 1538176 1730448 1922720 2163060 2269440 2307264 2884080 3076352 3460896 3845440 4326120 4614528 5768160 6921792 7690880 8652240 9229056 11536320 13843584 15381760 17304480 23072640 27687168 34608960 46145280 69217920 138435840
- Sum of all divisors σ(n): 489296808
- Sum of proper divisors (its aliquot sum) s(n): 350860968
- 138435840 is an abundant number, because the sum of its proper divisors (350860968) is greater than itself. Its abundance is 212425128
Bases of 138435840
- Binary: 10000100000001011101000000002
- Hexadecimal: 0x8405D00
- Base-36: 2AF5S0
Squares and roots of 138435840
- 138435840 squared (1384358402) is 19164481796505600
- 138435840 cubed (1384358403) is 2653051135663961800704000
-
The
square root of 138435840 is 11765.8760829783 -
The
cube root of 138435840 is 517.3083796609
Scales and comparisons
How big is 138435840?- 138,435,840 seconds is equal to 4 years, 20 weeks, 6 days, 6 hours, 24 minutes.
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To count from 1 to 138,435,840 would take you about six 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 138435840 cubic inches would be around 43.1 feet tall.
Recreational maths with 138435840
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The information we have on file for 138435840 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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