138317940
138,317,940 is an even composite number composed of six prime numbers multiplied together.
138317940 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138317940:
22 × 32 × 5 × 71 × 79 × 137
(2 × 2 × 3 × 3 × 5 × 71 × 79 × 137)See below for interesting mathematical facts about the number 138317940 from the Numbermatics database.
Names of 138317940
- Cardinal: 138317940 can be written as One hundred thirty-eight million, three hundred seventeen thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3831794 × 108
Factors of 138317940
Divisors of 138317940
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 79 90 137 142 158 180 213 237 274 284 316 355 395 411 426 474 548 639 685 710 711 790 822 852 948 1065 1185 1233 1278 1370 1420 1422 1580 1644 2055 2130 2370 2466 2556 2740 2844 3195 3555 4110 4260 4740 4932 5609 6165 6390 7110 8220 9727 10823 11218 12330 12780 14220 16827 19454 21646 22436 24660 28045 29181 32469 33654 38908 43292 48635 50481 54115 56090 58362 64938 67308 84135 87543 97270 97407 100962 108230 112180 116724 129876 145905 162345 168270 175086 194540 194814 201924 216460 252405 291810 324690 336540 350172 389628 437715 487035 504810 583620 649380 768433 875430 974070 1009620 1536866 1750860 1948140 2305299 3073732 3842165 4610598 6915897 7684330 9221196 11526495 13831794 15368660 23052990 27663588 34579485 46105980 69158970 138317940
- Sum of all divisors σ(n): 434004480
- Sum of proper divisors (its aliquot sum) s(n): 295686540
- 138317940 is an abundant number, because the sum of its proper divisors (295686540) is greater than itself. Its abundance is 157368600
Bases of 138317940
- Binary: 10000011111010010000011101002
- Hexadecimal: 0x83E9074
- Base-36: 2ACMT0
Squares and roots of 138317940
- 138317940 squared (1383179402) is 19131852525843600
- 138317940 cubed (1383179403) is 2646278429758483514184000
-
The
square root of 138317940 is 11760.8647641235 -
The
cube root of 138317940 is 517.1614813325
Scales and comparisons
How big is 138317940?- 138,317,940 seconds is equal to 4 years, 20 weeks, 4 days, 21 hours, 39 minutes.
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To count from 1 to 138,317,940 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 138317940 cubic inches would be around 43.1 feet tall.
Recreational maths with 138317940
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