135368640
135,368,640 is an even composite number composed of five prime numbers multiplied together.
135368640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 135368640:
26 × 32 × 5 × 11 × 4273
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 4273)See below for interesting mathematical facts about the number 135368640 from the Numbermatics database.
Names of 135368640
- Cardinal: 135368640 can be written as One hundred thirty-five million, three hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3536864 × 108
Factors of 135368640
Divisors of 135368640
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 192 198 220 240 264 288 320 330 352 360 396 440 480 495 528 576 660 704 720 792 880 960 990 1056 1320 1440 1584 1760 1980 2112 2640 2880 3168 3520 3960 4273 5280 6336 7920 8546 10560 12819 15840 17092 21365 25638 31680 34184 38457 42730 47003 51276 64095 68368 76914 85460 94006 102552 128190 136736 141009 153828 170920 188012 192285 205104 235015 256380 273472 282018 307656 341840 376024 384570 410208 423027 470030 512760 564036 615312 683680 705045 752048 769140 820416 846054 940060 1025520 1128072 1230624 1367360 1410090 1504096 1538280 1692108 1880120 2051040 2115135 2256144 2461248 2820180 3008192 3076560 3384216 3760240 4102080 4230270 4512288 5640360 6153120 6768432 7520480 8460540 9024576 11280720 12306240 13536864 15040960 16921080 22561440 27073728 33842160 45122880 67684320 135368640
- Sum of all divisors σ(n): 508058928
- Sum of proper divisors (its aliquot sum) s(n): 372690288
- 135368640 is an abundant number, because the sum of its proper divisors (372690288) is greater than itself. Its abundance is 237321648
Bases of 135368640
- Binary: 10000001000110001111110000002
- Hexadecimal: 0x8118FC0
- Base-36: 28LF40
Squares and roots of 135368640
- 135368640 squared (1353686402) is 18324668695449600
- 135368640 cubed (1353686403) is 2480585479753586540544000
-
The
square root of 135368640 is 11634.8029635229 -
The
cube root of 135368640 is 513.4592970617
Scales and comparisons
How big is 135368640?- 135,368,640 seconds is equal to 4 years, 15 weeks, 5 days, 18 hours, 24 minutes.
-
To count from 1 to 135,368,640 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 135368640 cubic inches would be around 42.8 feet tall.
Recreational maths with 135368640
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