135103200
135,103,200 is an even composite number composed of five prime numbers multiplied together.
135103200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135103200:
25 × 3 × 52 × 41 × 1373
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 41 × 1373)See below for interesting mathematical facts about the number 135103200 from the Numbermatics database.
Names of 135103200
- Cardinal: 135103200 can be written as One hundred thirty-five million, one hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 1.351032 × 108
Factors of 135103200
Divisors of 135103200
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 150 160 164 200 205 240 246 300 328 400 410 480 492 600 615 656 800 820 984 1025 1200 1230 1312 1373 1640 1968 2050 2400 2460 2746 3075 3280 3936 4100 4119 4920 5492 6150 6560 6865 8200 8238 9840 10984 12300 13730 16400 16476 19680 20595 21968 24600 27460 32800 32952 34325 41190 43936 49200 54920 56293 65904 68650 82380 98400 102975 109840 112586 131808 137300 164760 168879 205950 219680 225172 274600 281465 329520 337758 411900 450344 549200 562930 659040 675516 823800 844395 900688 1098400 1125860 1351032 1407325 1647600 1688790 1801376 2251720 2702064 2814650 3295200 3377580 4221975 4503440 5404128 5629300 6755160 8443950 9006880 11258600 13510320 16887900 22517200 27020640 33775800 45034400 67551600 135103200
- Sum of all divisors σ(n): 450814896
- Sum of proper divisors (its aliquot sum) s(n): 315711696
- 135103200 is an abundant number, because the sum of its proper divisors (315711696) is greater than itself. Its abundance is 180608496
Bases of 135103200
- Binary: 10000000110110000010111000002
- Hexadecimal: 0x80D82E0
- Base-36: 28FQAO
Squares and roots of 135103200
- 135103200 squared (1351032002) is 18252874650240000
- 135103200 cubed (1351032003) is 2466021774446304768000000
-
The
square root of 135103200 is 11623.3902111217 -
The
cube root of 135103200 is 513.1234688695
Scales and comparisons
How big is 135103200?- 135,103,200 seconds is equal to 4 years, 15 weeks, 2 days, 16 hours, 40 minutes.
-
To count from 1 to 135,103,200 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 135103200 cubic inches would be around 42.8 feet tall.
Recreational maths with 135103200
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