138310920
138,310,920 is an even composite number composed of six prime numbers multiplied together.
138310920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138310920:
23 × 32 × 5 × 11 × 53 × 659
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 53 × 659)See below for interesting mathematical facts about the number 138310920 from the Numbermatics database.
Names of 138310920
- Cardinal: 138310920 can be written as One hundred thirty-eight million, three hundred ten thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3831092 × 108
Factors of 138310920
Divisors of 138310920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 53 55 60 66 72 88 90 99 106 110 120 132 159 165 180 198 212 220 264 265 318 330 360 396 424 440 477 495 530 583 636 659 660 792 795 954 990 1060 1166 1272 1318 1320 1590 1749 1908 1977 1980 2120 2332 2385 2636 2915 3180 3295 3498 3816 3954 3960 4664 4770 5247 5272 5830 5931 6360 6590 6996 7249 7908 8745 9540 9885 10494 11660 11862 13180 13992 14498 15816 17490 19080 19770 20988 21747 23320 23724 26235 26360 28996 29655 34927 34980 36245 39540 41976 43494 47448 52470 57992 59310 65241 69854 69960 72490 79080 86988 104781 104940 108735 118620 130482 139708 144980 173976 174635 209562 209880 217470 237240 260964 279416 289960 314343 326205 349270 384197 419124 434940 521928 523905 628686 652410 698540 768394 838248 869880 1047810 1152591 1257372 1304820 1397080 1536788 1571715 1920985 2095620 2305182 2514744 2609640 3073576 3143430 3457773 3841970 4191240 4610364 5762955 6286860 6915546 7683940 9220728 11525910 12573720 13831092 15367880 17288865 23051820 27662184 34577730 46103640 69155460 138310920
- Sum of all divisors σ(n): 500385600
- Sum of proper divisors (its aliquot sum) s(n): 362074680
- 138310920 is an abundant number, because the sum of its proper divisors (362074680) is greater than itself. Its abundance is 223763760
Bases of 138310920
- Binary: 10000011111001110101000010002
- Hexadecimal: 0x83E7508
- Base-36: 2ACHE0
Squares and roots of 138310920
- 138310920 squared (1383109202) is 19129910591246400
- 138310920 cubed (1383109203) is 2645875533393033530688000
-
The
square root of 138310920 is 11760.5663128949 -
The
cube root of 138310920 is 517.1527320815
Scales and comparisons
How big is 138310920?- 138,310,920 seconds is equal to 4 years, 20 weeks, 4 days, 19 hours, 42 minutes.
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To count from 1 to 138,310,920 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 138310920 cubic inches would be around 43.1 feet tall.
Recreational maths with 138310920
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