135152640
135,152,640 is an even composite number composed of five prime numbers multiplied together.
135152640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 135152640:
210 × 32 × 5 × 7 × 419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 419)See below for interesting mathematical facts about the number 135152640 from the Numbermatics database.
Names of 135152640
- Cardinal: 135152640 can be written as One hundred thirty-five million, one hundred fifty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3515264 × 108
Factors of 135152640
Divisors of 135152640
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 419 420 448 480 504 512 560 576 630 640 672 720 768 838 840 896 960 1008 1024 1120 1152 1257 1260 1280 1344 1440 1536 1676 1680 1792 1920 2016 2095 2240 2304 2514 2520 2560 2688 2880 2933 3072 3352 3360 3584 3771 3840 4032 4190 4480 4608 5028 5040 5120 5376 5760 5866 6285 6704 6720 7168 7542 7680 8064 8380 8799 8960 9216 10056 10080 10752 11520 11732 12570 13408 13440 14665 15084 15360 16128 16760 17598 17920 18855 20112 20160 21504 23040 23464 25140 26397 26816 26880 29330 30168 32256 33520 35196 35840 37710 40224 40320 43995 46080 46928 50280 52794 53632 53760 58660 60336 64512 67040 70392 75420 80448 80640 87990 93856 100560 105588 107264 107520 117320 120672 131985 134080 140784 150840 160896 161280 175980 187712 201120 211176 214528 234640 241344 263970 268160 281568 301680 321792 322560 351960 375424 402240 422352 429056 469280 482688 527940 536320 563136 603360 643584 703920 750848 804480 844704 938560 965376 1055880 1072640 1126272 1206720 1287168 1407840 1501696 1608960 1689408 1877120 1930752 2111760 2145280 2252544 2413440 2815680 3003392 3217920 3378816 3754240 3861504 4223520 4505088 4826880 5631360 6435840 6757632 7508480 8447040 9010176 9653760 11262720 13515264 15016960 16894080 19307520 22525440 27030528 33788160 45050880 67576320 135152640
- Sum of all divisors σ(n): 536477760
- Sum of proper divisors (its aliquot sum) s(n): 401325120
- 135152640 is an abundant number, because the sum of its proper divisors (401325120) is greater than itself. Its abundance is 266172480
Bases of 135152640
- Binary: 10000000111001000100000000002
- Hexadecimal: 0x80E4400
- Base-36: 28GSG0
Squares and roots of 135152640
- 135152640 squared (1351526402) is 18266236098969600
- 135152640 cubed (1351526403) is 2468730031639042719744000
-
The
square root of 135152640 is 11625.5167627077 -
The
cube root of 135152640 is 513.1860524609
Scales and comparisons
How big is 135152640?- 135,152,640 seconds is equal to 4 years, 15 weeks, 3 days, 6 hours, 24 minutes.
-
To count from 1 to 135,152,640 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 135152640 cubic inches would be around 42.8 feet tall.
Recreational maths with 135152640
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