133814400
133,814,400 is an even composite number composed of five prime numbers multiplied together.
133814400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 133814400:
27 × 3 × 52 × 53 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 53 × 263)See below for interesting mathematical facts about the number 133814400 from the Numbermatics database.
Names of 133814400
- Cardinal: 133814400 can be written as One hundred thirty-three million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.338144 × 108
Factors of 133814400
Divisors of 133814400
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 128 150 159 160 192 200 212 240 263 265 300 318 320 384 400 424 480 526 530 600 636 640 789 795 800 848 960 1052 1060 1200 1272 1315 1325 1578 1590 1600 1696 1920 2104 2120 2400 2544 2630 2650 3156 3180 3200 3392 3945 3975 4208 4240 4800 5088 5260 5300 6312 6360 6575 6784 7890 7950 8416 8480 9600 10176 10520 10600 12624 12720 13150 13939 15780 15900 16832 16960 19725 20352 21040 21200 25248 25440 26300 27878 31560 31800 33664 33920 39450 41817 42080 42400 50496 50880 52600 55756 63120 63600 69695 78900 83634 84160 84800 100992 101760 105200 111512 126240 127200 139390 157800 167268 168320 169600 209085 210400 223024 252480 254400 278780 315600 334536 348475 418170 420800 446048 504960 508800 557560 631200 669072 696950 836340 841600 892096 1045425 1115120 1262400 1338144 1393900 1672680 1784192 2090850 2230240 2524800 2676288 2787800 3345360 4181700 4460480 5352576 5575600 6690720 8363400 8920960 11151200 13381440 16726800 22302400 26762880 33453600 44604800 66907200 133814400
- Sum of all divisors σ(n): 450774720
- Sum of proper divisors (its aliquot sum) s(n): 316960320
- 133814400 is an abundant number, because the sum of its proper divisors (316960320) is greater than itself. Its abundance is 183145920
Bases of 133814400
- Binary: 1111111100111011000100000002
- Hexadecimal: 0x7F9D880
- Base-36: 27O3UO
Squares and roots of 133814400
- 133814400 squared (1338144002) is 17906293647360000
- 133814400 cubed (1338144003) is 2396119940645289984000000
-
The
square root of 133814400 is 11567.8174259451 -
The
cube root of 133814400 is 511.4866273501
Scales and comparisons
How big is 133814400?- 133,814,400 seconds is equal to 4 years, 13 weeks, 1 day, 18 hours, 40 minutes.
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To count from 1 to 133,814,400 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 133814400 cubic inches would be around 42.6 feet tall.
Recreational maths with 133814400
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