131820000
131,820,000 is an even composite number composed of four prime numbers multiplied together.
131820000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 131820000:
25 × 3 × 54 × 133
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 13)See below for interesting mathematical facts about the number 131820000 from the Numbermatics database.
Names of 131820000
- Cardinal: 131820000 can be written as One hundred thirty-one million, eight hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3182 × 108
Factors of 131820000
Divisors of 131820000
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 125 130 150 156 160 169 195 200 208 240 250 260 300 312 325 338 375 390 400 416 480 500 507 520 600 624 625 650 676 750 780 800 845 975 1000 1014 1040 1200 1248 1250 1300 1352 1500 1560 1625 1690 1875 1950 2000 2028 2080 2197 2400 2500 2535 2600 2704 3000 3120 3250 3380 3750 3900 4000 4056 4225 4394 4875 5000 5070 5200 5408 6000 6240 6500 6591 6760 7500 7800 8112 8125 8450 8788 9750 10000 10140 10400 10985 12000 12675 13000 13182 13520 15000 15600 16224 16250 16900 17576 19500 20000 20280 21125 21970 24375 25350 26000 26364 27040 30000 31200 32500 32955 33800 35152 39000 40560 42250 43940 48750 50700 52000 52728 54925 60000 63375 65000 65910 67600 70304 78000 81120 84500 87880 97500 101400 105456 105625 109850 126750 130000 131820 135200 156000 164775 169000 175760 195000 202800 210912 211250 219700 253500 260000 263640 274625 316875 329550 338000 351520 390000 405600 422500 439400 507000 527280 549250 633750 659100 676000 780000 823875 845000 878800 1014000 1054560 1098500 1267500 1318200 1373125 1647750 1690000 1757600 2028000 2197000 2535000 2636400 2746250 3295500 3380000 4119375 4394000 5070000 5272800 5492500 6591000 8238750 8788000 10140000 10985000 13182000 16477500 21970000 26364000 32955000 43940000 65910000 131820000
- Sum of all divisors σ(n): 468412560
- Sum of proper divisors (its aliquot sum) s(n): 336592560
- 131820000 is an abundant number, because the sum of its proper divisors (336592560) is greater than itself. Its abundance is 204772560
Bases of 131820000
- Binary: 1111101101101101001111000002
- Hexadecimal: 0x7DB69E0
- Base-36: 26HCYO
Squares and roots of 131820000
- 131820000 squared (1318200002) is 17376512400000000
- 131820000 cubed (1318200003) is 2290571864568000000000000
-
The
square root of 131820000 is 11481.2891262263 -
The
cube root of 131820000 is 508.9327933519
Scales and comparisons
How big is 131820000?- 131,820,000 seconds is equal to 4 years, 9 weeks, 6 days, 16 hours, 40 minutes.
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To count from 1 to 131,820,000 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 131820000 cubic inches would be around 42.4 feet tall.
Recreational maths with 131820000
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