138046720
138,046,720 is an even composite number composed of five prime numbers multiplied together.
138046720 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 138046720:
28 × 5 × 72 × 31 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 31 × 71)See below for interesting mathematical facts about the number 138046720 from the Numbermatics database.
Names of 138046720
- Cardinal: 138046720 can be written as One hundred thirty-eight million, forty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3804672 × 108
Factors of 138046720
Divisors of 138046720
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 64 70 71 80 98 112 124 128 140 142 155 160 196 217 224 245 248 256 280 284 310 320 355 392 434 448 490 496 497 560 568 620 640 710 784 868 896 980 992 994 1085 1120 1136 1240 1280 1420 1519 1568 1736 1792 1960 1984 1988 2170 2201 2240 2272 2480 2485 2840 3038 3136 3472 3479 3920 3968 3976 4340 4402 4480 4544 4960 4970 5680 6076 6272 6944 6958 7595 7840 7936 7952 8680 8804 8960 9088 9920 9940 11005 11360 12152 12544 13888 13916 15190 15407 15680 15904 17360 17395 17608 18176 19840 19880 22010 22720 24304 27776 27832 30380 30814 31360 31808 34720 34790 35216 39680 39760 44020 45440 48608 55552 55664 60760 61628 62720 63616 69440 69580 70432 77035 79520 88040 90880 97216 107849 111328 121520 123256 127232 138880 139160 140864 154070 159040 176080 194432 215698 222656 243040 246512 277760 278320 281728 308140 318080 352160 388864 431396 445312 486080 493024 539245 556640 563456 616280 636160 704320 862792 890624 972160 986048 1078490 1113280 1232560 1408640 1725584 1944320 1972096 2156980 2226560 2465120 2817280 3451168 3944192 4313960 4453120 4930240 6902336 8627920 9860480 13804672 17255840 19720960 27609344 34511680 69023360 138046720
- Sum of all divisors σ(n): 402651648
- Sum of proper divisors (its aliquot sum) s(n): 264604928
- 138046720 is an abundant number, because the sum of its proper divisors (264604928) is greater than itself. Its abundance is 126558208
Bases of 138046720
- Binary: 10000011101001101101000000002
- Hexadecimal: 0x83A6D00
- Base-36: 2A6TJ4
Squares and roots of 138046720
- 138046720 squared (1380467202) is 19056896902758400
- 138046720 cubed (1380467203) is 2630742110803956072448000
-
The
square root of 138046720 is 11749.3284914503 -
The
cube root of 138046720 is 516.8232357031
Scales and comparisons
How big is 138046720?- 138,046,720 seconds is equal to 4 years, 20 weeks, 1 day, 18 hours, 18 minutes, 40 seconds.
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To count from 1 to 138,046,720 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 138046720 cubic inches would be around 43.1 feet tall.
Recreational maths with 138046720
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The information we have on file for 138046720 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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