138379920
138,379,920 is an even composite number composed of five prime numbers multiplied together.
138379920 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 138379920:
24 × 3 × 5 × 73 × 412
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 41 × 41)See below for interesting mathematical facts about the number 138379920 from the Numbermatics database.
Names of 138379920
- Cardinal: 138379920 can be written as One hundred thirty-eight million, three hundred seventy-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3837992 × 108
Factors of 138379920
Divisors of 138379920
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 49 56 60 70 80 82 84 98 105 112 120 123 140 147 164 168 196 205 210 240 245 246 280 287 294 328 336 343 392 410 420 490 492 560 574 588 615 656 686 735 784 820 840 861 980 984 1029 1148 1176 1230 1372 1435 1470 1640 1680 1681 1715 1722 1960 1968 2009 2058 2296 2352 2460 2744 2870 2940 3280 3362 3430 3444 3920 4018 4116 4305 4592 4920 5043 5145 5488 5740 5880 6027 6724 6860 6888 8036 8232 8405 8610 9840 10045 10086 10290 11480 11760 11767 12054 13448 13720 13776 14063 16072 16464 16810 17220 20090 20172 20580 22960 23534 24108 25215 26896 27440 28126 30135 32144 33620 34440 35301 40180 40344 41160 42189 47068 48216 50430 56252 58835 60270 67240 68880 70315 70602 80360 80688 82320 82369 84378 94136 96432 100860 112504 117670 120540 134480 140630 141204 160720 164738 168756 176505 188272 201720 210945 225008 235340 241080 247107 281260 282408 329476 337512 353010 403440 411845 421890 470680 482160 494214 562520 564816 576583 658952 675024 706020 823690 843780 941360 988428 1125040 1153166 1235535 1317904 1412040 1647380 1687560 1729749 1976856 2306332 2471070 2824080 2882915 3294760 3375120 3459498 3953712 4612664 4942140 5765830 6589520 6918996 8648745 9225328 9884280 11531660 13837992 17297490 19768560 23063320 27675984 34594980 46126640 69189960 138379920
- Sum of all divisors σ(n): 512764800
- Sum of proper divisors (its aliquot sum) s(n): 374384880
- 138379920 is an abundant number, because the sum of its proper divisors (374384880) is greater than itself. Its abundance is 236004960
Bases of 138379920
- Binary: 10000011111110000010100100002
- Hexadecimal: 0x83F8290
- Base-36: 2ADYMO
Squares and roots of 138379920
- 138379920 squared (1383799202) is 19149002259206400
- 138379920 cubed (1383799203) is 2649837400708800895488000
-
The
square root of 138379920 is 11763.4994793217 -
The
cube root of 138379920 is 517.2387161487
Scales and comparisons
How big is 138379920?- 138,379,920 seconds is equal to 4 years, 20 weeks, 5 days, 14 hours, 52 minutes.
-
To count from 1 to 138,379,920 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 138379920 cubic inches would be around 43.1 feet tall.
Recreational maths with 138379920
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