138109020
138,109,020 is an even composite number composed of seven prime numbers multiplied together.
138109020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138109020:
22 × 3 × 5 × 7 × 17 × 23 × 292
(2 × 2 × 3 × 5 × 7 × 17 × 23 × 29 × 29)See below for interesting mathematical facts about the number 138109020 from the Numbermatics database.
Names of 138109020
- Cardinal: 138109020 can be written as One hundred thirty-eight million, one hundred nine thousand and twenty.
Scientific notation
- Scientific notation: 1.3810902 × 108
Factors of 138109020
Divisors of 138109020
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 17 20 21 23 28 29 30 34 35 42 46 51 58 60 68 69 70 84 85 87 92 102 105 115 116 119 138 140 145 161 170 174 203 204 210 230 238 255 276 290 322 340 345 348 357 391 406 420 435 460 476 483 493 510 580 595 609 644 667 690 714 782 805 812 841 870 966 986 1015 1020 1173 1190 1218 1334 1380 1428 1479 1564 1610 1682 1740 1785 1932 1955 1972 2001 2030 2346 2380 2415 2436 2465 2523 2668 2737 2958 3045 3220 3335 3364 3451 3570 3910 4002 4060 4205 4669 4692 4830 4930 5046 5474 5865 5887 5916 6090 6670 6902 7140 7395 7820 8004 8211 8410 9338 9660 9860 10005 10092 10353 10948 11339 11730 11774 12180 12615 13340 13685 13804 14007 14297 14790 16422 16820 17255 17661 18676 19343 20010 20706 22678 23345 23460 23548 25230 27370 28014 28594 29435 29580 32844 34017 34510 35322 38686 40020 41055 41412 42891 45356 46690 50460 51765 54740 56028 56695 57188 58029 58870 68034 69020 70035 70644 71485 77372 79373 82110 85782 88305 93380 96715 100079 103530 113390 116058 117740 135401 136068 140070 142970 158746 164220 170085 171564 176610 193430 200158 207060 214455 226780 232116 238119 270802 280140 285940 290145 300237 317492 328831 340170 353220 386860 396865 400316 406203 428910 476238 500395 541604 580290 600474 657662 677005 680340 793730 812406 857820 952476 986493 1000790 1160580 1190595 1200948 1315324 1354010 1501185 1587460 1624812 1644155 1972986 2001580 2031015 2301817 2381190 2708020 3002370 3288310 3945972 4062030 4603634 4762380 4932465 6004740 6576620 6905451 8124060 9207268 9864930 11509085 13810902 19729860 23018170 27621804 34527255 46036340 69054510 138109020
- Sum of all divisors σ(n): 505709568
- Sum of proper divisors (its aliquot sum) s(n): 367600548
- 138109020 is an abundant number, because the sum of its proper divisors (367600548) is greater than itself. Its abundance is 229491528
Bases of 138109020
- Binary: 10000011101101100000010111002
- Hexadecimal: 0x83B605C
- Base-36: 2A85LO
Squares and roots of 138109020
- 138109020 squared (1381090202) is 19074101405360400
- 138109020 cubed (1381090203) is 2634305452474947590808000
-
The
square root of 138109020 is 11751.9794077423 -
The
cube root of 138109020 is 516.9009708477
Scales and comparisons
How big is 138109020?- 138,109,020 seconds is equal to 4 years, 20 weeks, 2 days, 11 hours, 37 minutes.
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To count from 1 to 138,109,020 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 138109020 cubic inches would be around 43.1 feet tall.
Recreational maths with 138109020
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