137085000
137,085,000 is an even composite number composed of six prime numbers multiplied together.
137085000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137085000:
23 × 3 × 54 × 13 × 19 × 37
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 19 × 37)See below for interesting mathematical facts about the number 137085000 from the Numbermatics database.
Names of 137085000
- Cardinal: 137085000 can be written as One hundred thirty-seven million, eighty-five thousand.
Scientific notation
- Scientific notation: 1.37085 × 108
Factors of 137085000
Divisors of 137085000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 19 20 24 25 26 30 37 38 39 40 50 52 57 60 65 74 75 76 78 95 100 104 111 114 120 125 130 148 150 152 156 185 190 195 200 222 228 247 250 260 285 296 300 312 325 370 375 380 390 444 456 475 481 494 500 520 555 570 600 625 650 703 740 741 750 760 780 888 925 950 962 975 988 1000 1110 1140 1235 1250 1300 1406 1425 1443 1480 1482 1500 1560 1625 1850 1875 1900 1924 1950 1976 2109 2220 2280 2375 2405 2470 2500 2600 2775 2812 2850 2886 2964 3000 3250 3515 3700 3705 3750 3800 3848 3900 4218 4440 4625 4750 4810 4875 4940 5000 5550 5624 5700 5772 5928 6175 6500 7030 7125 7215 7400 7410 7500 7800 8125 8436 9139 9250 9500 9620 9750 9880 10545 11100 11400 11544 11875 12025 12350 13000 13875 14060 14250 14430 14820 15000 16250 16872 17575 18278 18500 18525 19000 19240 19500 21090 22200 23125 23750 24050 24375 24700 27417 27750 28120 28500 28860 29640 30875 32500 35150 35625 36075 36556 37000 37050 39000 42180 45695 46250 47500 48100 48750 49400 52725 54834 55500 57000 57720 60125 61750 65000 69375 70300 71250 72150 73112 74100 84360 87875 91390 92500 92625 95000 96200 97500 105450 109668 111000 120250 123500 137085 138750 140600 142500 144300 148200 154375 175750 180375 182780 185000 185250 195000 210900 219336 228475 240500 247000 263625 274170 277500 285000 288600 300625 308750 351500 360750 365560 370500 421800 439375 456950 463125 481000 527250 548340 555000 601250 617500 685425 703000 721500 741000 878750 901875 913900 926250 1054500 1096680 1142375 1202500 1235000 1318125 1370850 1443000 1757500 1803750 1827800 1852500 2109000 2284750 2405000 2636250 2741700 3427125 3515000 3607500 3705000 4569500 5272500 5483400 5711875 6854250 7215000 9139000 10545000 11423750 13708500 17135625 22847500 27417000 34271250 45695000 68542500 137085000
- Sum of all divisors σ(n): 498590400
- Sum of proper divisors (its aliquot sum) s(n): 361505400
- 137085000 is an abundant number, because the sum of its proper divisors (361505400) is greater than itself. Its abundance is 224420400
Bases of 137085000
- Binary: 10000010101111000000010010002
- Hexadecimal: 0x82BC048
- Base-36: 29M7GO
Squares and roots of 137085000
- 137085000 squared (1370850002) is 18792297225000000
- 137085000 cubed (1370850003) is 2576142065089125000000000
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The
square root of 137085000 is 11708.3303677339 -
The
cube root of 137085000 is 515.6202662559
Scales and comparisons
How big is 137085000?- 137,085,000 seconds is equal to 4 years, 18 weeks, 4 days, 15 hours, 10 minutes.
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To count from 1 to 137,085,000 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 137085000 cubic inches would be around 43 feet tall.
Recreational maths with 137085000
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