135423360
135,423,360 is an even composite number composed of five prime numbers multiplied together.
135423360 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135423360:
27 × 33 × 5 × 17 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 461)See below for interesting mathematical facts about the number 135423360 from the Numbermatics database.
Names of 135423360
- Cardinal: 135423360 can be written as One hundred thirty-five million, four hundred twenty-three thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3542336 × 108
Factors of 135423360
Divisors of 135423360
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 270 272 288 306 320 340 360 384 408 432 459 461 480 510 540 544 576 612 640 680 720 765 816 864 918 922 960 1020 1080 1088 1152 1224 1360 1383 1440 1530 1632 1728 1836 1844 1920 2040 2160 2176 2295 2305 2448 2720 2766 2880 3060 3264 3456 3672 3688 4080 4149 4320 4590 4610 4896 5440 5532 5760 6120 6528 6915 7344 7376 7837 8160 8298 8640 9180 9220 9792 10880 11064 12240 12447 13830 14688 14752 15674 16320 16596 17280 18360 18440 19584 20745 22128 23511 24480 24894 27660 29376 29504 31348 32640 33192 36720 36880 39185 41490 44256 47022 48960 49788 55320 58752 59008 62235 62696 66384 70533 73440 73760 78370 82980 88512 94044 97920 99576 110640 117555 124470 125392 132768 141066 146880 147520 156740 165960 177024 188088 199152 211599 221280 235110 248940 250784 265536 282132 293760 295040 313480 331920 352665 376176 398304 423198 442560 470220 497880 501568 531072 564264 626960 663840 705330 752352 796608 846396 885120 940440 995760 1003136 1057995 1128528 1253920 1327680 1410660 1504704 1593216 1692792 1880880 1991520 2115990 2257056 2507840 2655360 2821320 3009408 3385584 3761760 3983040 4231980 4514112 5015680 5642640 6771168 7523520 7966080 8463960 9028224 11285280 13542336 15047040 16927920 22570560 27084672 33855840 45141120 67711680 135423360
- Sum of all divisors σ(n): 508939200
- Sum of proper divisors (its aliquot sum) s(n): 373515840
- 135423360 is an abundant number, because the sum of its proper divisors (373515840) is greater than itself. Its abundance is 238092480
Bases of 135423360
- Binary: 10000001001001100101100000002
- Hexadecimal: 0x8126580
- Base-36: 28MLC0
Squares and roots of 135423360
- 135423360 squared (1354233602) is 18339486433689600
- 135423360 cubed (1354233603) is 2483594873524662829056000
-
The
square root of 135423360 is 11637.1542913205 -
The
cube root of 135423360 is 513.5284728761
Scales and comparisons
How big is 135423360?- 135,423,360 seconds is equal to 4 years, 15 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 135,423,360 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 135423360 cubic inches would be around 42.8 feet tall.
Recreational maths with 135423360
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