135312128
135,312,128 is an even composite number composed of four prime numbers multiplied together.
135312128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135312128:
28 × 73 × 23 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 23 × 67)See below for interesting mathematical facts about the number 135312128 from the Numbermatics database.
Names of 135312128
- Cardinal: 135312128 can be written as One hundred thirty-five million, three hundred twelve thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35312128 × 108
Factors of 135312128
Divisors of 135312128
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 7 8 14 16 23 28 32 46 49 56 64 67 92 98 112 128 134 161 184 196 224 256 268 322 343 368 392 448 469 536 644 686 736 784 896 938 1072 1127 1288 1372 1472 1541 1568 1792 1876 2144 2254 2576 2744 2944 3082 3136 3283 3752 4288 4508 5152 5488 5888 6164 6272 6566 7504 7889 8576 9016 10304 10787 10976 12328 12544 13132 15008 15778 17152 18032 20608 21574 21952 22981 24656 26264 30016 31556 36064 41216 43148 43904 45962 49312 52528 60032 63112 72128 75509 86296 87808 91924 98624 105056 120064 126224 144256 151018 172592 183848 197248 210112 252448 288512 302036 345184 367696 394496 420224 504896 528563 604072 690368 735392 840448 1009792 1057126 1208144 1380736 1470784 2019584 2114252 2416288 2761472 2941568 4228504 4832576 5883136 8457008 9665152 16914016 19330304 33828032 67656064 135312128
- Sum of all divisors σ(n): 333580800
- Sum of proper divisors (its aliquot sum) s(n): 198268672
- 135312128 is an abundant number, because the sum of its proper divisors (198268672) is greater than itself. Its abundance is 62956544
Bases of 135312128
- Binary: 10000001000010110011000000002
- Hexadecimal: 0x810B300
- Base-36: 28K7I8
Squares and roots of 135312128
- 135312128 squared (1353121282) is 18309371983888384
- 135312128 cubed (1353121283) is 2477480085483518953521152
-
The
square root of 135312128 is 11632.3741342857 -
The
cube root of 135312128 is 513.3878362697
Scales and comparisons
How big is 135312128?- 135,312,128 seconds is equal to 4 years, 15 weeks, 5 days, 2 hours, 42 minutes, 8 seconds.
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To count from 1 to 135,312,128 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 135312128 cubic inches would be around 42.8 feet tall.
Recreational maths with 135312128
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