135456000
135,456,000 is an even composite number composed of five prime numbers multiplied together.
135456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 135456000:
28 × 3 × 53 × 17 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 83)See below for interesting mathematical facts about the number 135456000 from the Numbermatics database.
Names of 135456000
- Cardinal: 135456000 can be written as One hundred thirty-five million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.35456 × 108
Factors of 135456000
Divisors of 135456000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 83 85 96 100 102 120 125 128 136 150 160 166 170 192 200 204 240 249 250 255 256 272 300 320 332 340 375 384 400 408 415 425 480 498 500 510 544 600 640 664 680 750 768 800 816 830 850 960 996 1000 1020 1088 1200 1245 1275 1280 1328 1360 1411 1500 1600 1632 1660 1700 1920 1992 2000 2040 2075 2125 2176 2400 2490 2550 2656 2720 2822 3000 3200 3264 3320 3400 3840 3984 4000 4080 4150 4233 4250 4352 4800 4980 5100 5312 5440 5644 6000 6225 6375 6400 6528 6640 6800 7055 7968 8000 8160 8300 8466 8500 9600 9960 10200 10375 10624 10880 11288 12000 12450 12750 13056 13280 13600 14110 15936 16000 16320 16600 16932 17000 19200 19920 20400 20750 21165 21248 21760 22576 24000 24900 25500 26560 27200 28220 31125 31872 32000 32640 33200 33864 34000 35275 39840 40800 41500 42330 45152 48000 49800 51000 53120 54400 56440 62250 63744 65280 66400 67728 68000 70550 79680 81600 83000 84660 90304 96000 99600 102000 105825 106240 108800 112880 124500 132800 135456 136000 141100 159360 163200 166000 169320 176375 180608 199200 204000 211650 225760 249000 265600 270912 272000 282200 318720 326400 332000 338640 352750 361216 398400 408000 423300 451520 498000 529125 531200 541824 544000 564400 664000 677280 705500 796800 816000 846600 903040 996000 1058250 1083648 1128800 1328000 1354560 1411000 1593600 1632000 1693200 1806080 1992000 2116500 2257600 2656000 2709120 2822000 3386400 3984000 4233000 4515200 5418240 5644000 6772800 7968000 8466000 9030400 11288000 13545600 16932000 22576000 27091200 33864000 45152000 67728000 135456000
- Sum of all divisors σ(n): 482122368
- Sum of proper divisors (its aliquot sum) s(n): 346666368
- 135456000 is an abundant number, because the sum of its proper divisors (346666368) is greater than itself. Its abundance is 211210368
Bases of 135456000
- Binary: 10000001001011100101000000002
- Hexadecimal: 0x812E500
- Base-36: 28NAIO
Squares and roots of 135456000
- 135456000 squared (1354560002) is 18348327936000000
- 135456000 cubed (1354560003) is 2485391108898816000000000
-
The
square root of 135456000 is 11638.5566115391 -
The
cube root of 135456000 is 513.5697267703
Scales and comparisons
How big is 135456000?- 135,456,000 seconds is equal to 4 years, 15 weeks, 6 days, 18 hours, 40 minutes.
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To count from 1 to 135,456,000 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 135456000 cubic inches would be around 42.8 feet tall.
Recreational maths with 135456000
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