138319650
138,319,650 is an even composite number composed of six prime numbers multiplied together.
138319650 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138319650:
2 × 34 × 52 × 72 × 17 × 41
(2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 41)See below for interesting mathematical facts about the number 138319650 from the Numbermatics database.
Names of 138319650
- Cardinal: 138319650 can be written as One hundred thirty-eight million, three hundred nineteen thousand, six hundred fifty.
Scientific notation
- Scientific notation: 1.3831965 × 108
Factors of 138319650
Divisors of 138319650
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 17 18 21 25 27 30 34 35 41 42 45 49 50 51 54 63 70 75 81 82 85 90 98 102 105 119 123 126 135 147 150 153 162 170 175 189 205 210 225 238 245 246 255 270 287 294 306 315 350 357 369 378 405 410 425 441 450 459 490 510 525 567 574 595 615 630 675 697 714 735 738 765 810 833 850 861 882 918 945 1025 1050 1071 1107 1134 1190 1225 1230 1275 1323 1350 1377 1394 1435 1470 1530 1575 1666 1722 1785 1845 1890 2009 2025 2050 2091 2142 2205 2214 2295 2450 2499 2550 2583 2646 2754 2835 2870 2975 3075 3150 3213 3321 3485 3570 3675 3690 3825 3969 4018 4050 4165 4182 4305 4410 4590 4725 4879 4998 5166 5355 5535 5670 5950 6027 6150 6273 6426 6615 6642 6885 6970 7175 7350 7497 7650 7749 7938 8330 8610 8925 9225 9450 9639 9758 10045 10455 10710 11025 11070 11475 12054 12495 12546 12915 13230 13770 14175 14350 14637 14994 15498 16065 16605 17425 17850 18081 18450 18819 19278 19845 20090 20825 20910 21525 22050 22491 22950 23247 24395 24990 25830 26775 27675 28350 29274 30135 31365 32130 33075 33210 34153 34425 34850 36162 37485 37638 38745 39690 41650 43050 43911 44982 46494 48195 48790 50225 52275 53550 54243 55350 56457 60270 62475 62730 64575 66150 67473 68306 68850 73185 74970 77490 80325 83025 87822 90405 94095 96390 99225 100450 102459 104550 108486 112455 112914 116235 121975 124950 129150 131733 134946 146370 150675 156825 160650 162729 166050 170765 180810 187425 188190 193725 198450 204918 219555 224910 232470 240975 243950 263466 271215 282285 301350 307377 313650 325458 337365 341530 365925 374850 387450 395199 439110 452025 470475 481950 512295 542430 562275 564570 581175 614754 658665 674730 731850 790398 813645 853825 904050 922131 940950 1024590 1097775 1124550 1162350 1317330 1356075 1411425 1536885 1627290 1686825 1707650 1844262 1975995 2195550 2561475 2712150 2766393 2822850 3073770 3293325 3373650 3951990 4068225 4610655 5122950 5532786 6586650 7684425 8136450 9221310 9879975 13831965 15368850 19759950 23053275 27663930 46106550 69159825 138319650
- Sum of all divisors σ(n): 484914276
- Sum of proper divisors (its aliquot sum) s(n): 346594626
- 138319650 is an abundant number, because the sum of its proper divisors (346594626) is greater than itself. Its abundance is 208274976
Bases of 138319650
- Binary: 10000011111010010111001000102
- Hexadecimal: 0x83E9722
- Base-36: 2ACO4I
Squares and roots of 138319650
- 138319650 squared (1383196502) is 19132325576122500
- 138319650 cubed (1383196503) is 2646376577375312557125000
-
The
square root of 138319650 is 11760.9374626345 -
The
cube root of 138319650 is 517.1636125153
Scales and comparisons
How big is 138319650?- 138,319,650 seconds is equal to 4 years, 20 weeks, 4 days, 22 hours, 7 minutes, 30 seconds.
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To count from 1 to 138,319,650 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 138319650 cubic inches would be around 43.1 feet tall.
Recreational maths with 138319650
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