135416320
135,416,320 is an even composite number composed of four prime numbers multiplied together.
135416320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 135416320:
29 × 5 × 132 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 313)See below for interesting mathematical facts about the number 135416320 from the Numbermatics database.
Names of 135416320
- Cardinal: 135416320 can be written as One hundred thirty-five million, four hundred sixteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3541632 × 108
Factors of 135416320
Divisors of 135416320
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 256 260 313 320 338 416 512 520 626 640 676 832 845 1040 1252 1280 1352 1565 1664 1690 2080 2504 2560 2704 3130 3328 3380 4069 4160 5008 5408 6260 6656 6760 8138 8320 10016 10816 12520 13520 16276 16640 20032 20345 21632 25040 27040 32552 33280 40064 40690 43264 50080 52897 54080 65104 80128 81380 86528 100160 105794 108160 130208 160256 162760 200320 211588 216320 260416 264485 325520 400640 423176 432640 520832 528970 651040 801280 846352 1041664 1057940 1302080 1692704 2083328 2115880 2604160 3385408 4231760 5208320 6770816 8463520 10416640 13541632 16927040 27083264 33854080 67708160 135416320
- Sum of all divisors σ(n): 352701756
- Sum of proper divisors (its aliquot sum) s(n): 217285436
- 135416320 is an abundant number, because the sum of its proper divisors (217285436) is greater than itself. Its abundance is 81869116
Bases of 135416320
- Binary: 10000001001001001010000000002
- Hexadecimal: 0x8124A00
- Base-36: 28MFWG
Squares and roots of 135416320
- 135416320 squared (1354163202) is 18337579722342400
- 135416320 cubed (1354163203) is 2483207563706229587968000
-
The
square root of 135416320 is 11636.8518079419 -
The
cube root of 135416320 is 513.5195741083
Scales and comparisons
How big is 135416320?- 135,416,320 seconds is equal to 4 years, 15 weeks, 6 days, 7 hours, 38 minutes, 40 seconds.
-
To count from 1 to 135,416,320 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 135416320 cubic inches would be around 42.8 feet tall.
Recreational maths with 135416320
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