131461200
131,461,200 is an even composite number composed of five prime numbers multiplied together.
131461200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 131461200:
24 × 32 × 52 × 13 × 532
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 53 × 53)See below for interesting mathematical facts about the number 131461200 from the Numbermatics database.
Names of 131461200
- Cardinal: 131461200 can be written as One hundred thirty-one million, four hundred sixty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.314612 × 108
Factors of 131461200
Divisors of 131461200
- Number of divisors d(n): 270
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 53 60 65 72 75 78 80 90 100 104 106 117 120 130 144 150 156 159 180 195 200 208 212 225 234 240 260 265 300 312 318 325 360 390 400 424 450 468 477 520 530 585 600 624 636 650 689 720 780 795 848 900 936 954 975 1040 1060 1170 1200 1272 1300 1325 1378 1560 1590 1800 1872 1908 1950 2067 2120 2340 2385 2544 2600 2650 2756 2809 2925 3120 3180 3445 3600 3816 3900 3975 4134 4240 4680 4770 5200 5300 5512 5618 5850 6201 6360 6890 7632 7800 7950 8268 8427 9360 9540 10335 10600 11024 11236 11700 11925 12402 12720 13780 14045 15600 15900 16536 16854 17225 19080 20670 21200 22472 23400 23850 24804 25281 27560 28090 31005 31800 33072 33708 34450 36517 38160 41340 42135 44944 46800 47700 49608 50562 51675 55120 56180 62010 63600 67416 68900 70225 73034 82680 84270 95400 99216 101124 103350 109551 112360 124020 126405 134832 137800 140450 146068 155025 165360 168540 182585 190800 202248 206700 210675 219102 224720 248040 252810 275600 280900 292136 310050 328653 337080 365170 404496 413400 421350 438204 496080 505620 547755 561800 584272 620100 632025 657306 674160 730340 826800 842700 876408 912925 1011240 1095510 1123600 1240200 1264050 1314612 1460680 1643265 1685400 1752816 1825850 2022480 2191020 2480400 2528100 2629224 2738775 2921360 3286530 3370800 3651700 4382040 5056200 5258448 5477550 6573060 7303400 8216325 8764080 10112400 10955100 13146120 14606800 16432650 21910200 26292240 32865300 43820400 65730600 131461200
- Sum of all divisors σ(n): 500744426
- Sum of proper divisors (its aliquot sum) s(n): 369283226
- 131461200 is an abundant number, because the sum of its proper divisors (369283226) is greater than itself. Its abundance is 237822026
Bases of 131461200
- Binary: 1111101010111110000010100002
- Hexadecimal: 0x7D5F050
- Base-36: 269O40
Squares and roots of 131461200
- 131461200 squared (1314612002) is 17282047105440000
- 131461200 cubed (1314612003) is 2271918650937668928000000
-
The
square root of 131461200 is 11465.6530559755 -
The
cube root of 131461200 is 508.4706201501
Scales and comparisons
How big is 131461200?- 131,461,200 seconds is equal to 4 years, 9 weeks, 2 days, 13 hours.
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To count from 1 to 131,461,200 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 131461200 cubic inches would be around 42.4 feet tall.
Recreational maths with 131461200
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