138078720
138,078,720 is an even composite number composed of five prime numbers multiplied together.
138078720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138078720:
29 × 32 × 5 × 13 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 461)See below for interesting mathematical facts about the number 138078720 from the Numbermatics database.
Names of 138078720
- Cardinal: 138078720 can be written as One hundred thirty-eight million, seventy-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3807872 × 108
Factors of 138078720
Divisors of 138078720
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 461 468 480 512 520 576 585 624 640 720 768 780 832 922 936 960 1040 1152 1170 1248 1280 1383 1440 1536 1560 1664 1844 1872 1920 2080 2304 2305 2340 2496 2560 2766 2880 3120 3328 3688 3744 3840 4149 4160 4608 4610 4680 4992 5532 5760 5993 6240 6656 6915 7376 7488 7680 8298 8320 9220 9360 9984 11064 11520 11986 12480 13830 14752 14976 16596 16640 17979 18440 18720 19968 20745 22128 23040 23972 24960 27660 29504 29952 29965 33192 33280 35958 36880 37440 41490 44256 47944 49920 53937 55320 59008 59904 59930 66384 71916 73760 74880 82980 88512 89895 95888 99840 107874 110640 118016 119860 132768 143832 147520 149760 165960 177024 179790 191776 215748 221280 236032 239720 265536 269685 287664 295040 299520 331920 354048 359580 383552 431496 442560 479440 531072 539370 575328 590080 663840 708096 719160 767104 862992 885120 958880 1062144 1078740 1150656 1180160 1327680 1438320 1534208 1725984 1770240 1917760 2124288 2157480 2301312 2655360 2876640 3068416 3451968 3540480 3835520 4314960 4602624 5310720 5753280 6903936 7671040 8629920 9205248 10621440 11506560 13807872 15342080 17259840 23013120 27615744 34519680 46026240 69039360 138078720
- Sum of all divisors σ(n): 516107592
- Sum of proper divisors (its aliquot sum) s(n): 378028872
- 138078720 is an abundant number, because the sum of its proper divisors (378028872) is greater than itself. Its abundance is 239950152
Bases of 138078720
- Binary: 10000011101011101010000000002
- Hexadecimal: 0x83AEA00
- Base-36: 2A7I80
Squares and roots of 138078720
- 138078720 squared (1380787202) is 19065732916838400
- 138078720 cubed (1380787203) is 2632571997018912718848000
-
The
square root of 138078720 is 11750.6901924951 -
The
cube root of 138078720 is 516.8631667879
Scales and comparisons
How big is 138078720?- 138,078,720 seconds is equal to 4 years, 20 weeks, 2 days, 3 hours, 12 minutes.
-
To count from 1 to 138,078,720 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 138078720 cubic inches would be around 43.1 feet tall.
Recreational maths with 138078720
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