135315148800000
135,315,148,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135315148800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
135315148800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 135315148800000:
215 × 3 × 55 × 13 × 31 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 31 × 1093)See below for interesting mathematical facts about the number 135315148800000 from the Numbermatics database.
Names of 135315148800000
- Cardinal: 135315148800000 can be written as One hundred thirty-five trillion, three hundred fifteen billion, one hundred forty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.353151488 × 1014
Factors of 135315148800000
Divisors of 135315148800000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 150 155 156 160 186 192 195 200 208 240 248 250 256 260 300 310 312 320 325 372 375 384 390 400 403 416 465 480 496 500 512 520 600 620 624 625 640 650 744 750 768 775 780 800 806 832 930 960 975 992 1000 1024 1040 1093 1200 1209 1240 1248 1250 1280 1300 1488 1500 1536 1550 1560 1600 1612 1625 1664 1860 1875 1920 1950 1984 2000 2015 2048 2080 2186 2325 2400 2418 2480 2496 2500 2560 2600 2976 3000 3072 3100 3120 3125 3200 3224 3250 3279 3328 3720 3750 3840 3875 3900 3968 4000 4030 4096 4160 4372 4650 4800 4836 4875 4960 4992 5000 5120 5200 5465 5952 6000 6045 6144 6200 6240 6250 6400 6448 6500 6558 6656 7440 7500 7680 7750 7800 7936 8000 8060 8125 8192 8320 8744 9300 9375 9600 9672 9750 9920 9984 10000 10075 10240 10400 10930 11625 11904 12000 12090 12288 12400 12480 12500 12800 12896 13000 13116 13312 14209 14880 15000 15360 15500 15600 15872 16000 16120 16250 16384 16395 16640 17488 18600 18750 19200 19344 19375 19500 19840 19968 20000 20150 20480 20800 21860 23250 23808 24000 24180 24375 24576 24800 24960 25000 25600 25792 26000 26232 26624 27325 28418 29760 30000 30225 30720 31000 31200 31744 32000 32240 32500 32768 32790 33280 33883 34976 37200 37500 38400 38688 38750 39000 39680 39936 40000 40300 40625 40960 41600 42627 43720 46500 47616 48000 48360 48750 49152 49600 49920 50000 50375 51200 51584 52000 52464 53248 54650 56836 58125 59520 60000 60450 61440 62000 62400 63488 64000 64480 65000 65580 66560 67766 69952 71045 74400 75000 76800 77376 77500 78000 79360 79872 80000 80600 81250 81920 81975 83200 85254 87440 93000 95232 96000 96720 96875 97500 98304 99200 99840 100000 100750 101649 102400 103168 104000 104928 106496 109300 113672 116250 119040 120000 120900 121875 122880 124000 124800 126976 128000 128960 130000 131160 133120 135532 136625 139904 142090 148800 150000 151125 153600 154752 155000 156000 158720 159744 160000 161200 162500 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6765757440000 8457196800000 9021009920000 10408857600000 11276262400000 13531514880000 16914393600000 22552524800000 27063029760000 33828787200000 45105049600000 67657574400000 135315148800000
- Sum of all divisors σ(n): 501834910510080
- Sum of proper divisors (its aliquot sum) s(n): 366519761710080
- 135315148800000 is an abundant number, because the sum of its proper divisors (366519761710080) is greater than itself. Its abundance is 231204612910080
Bases of 135315148800000
- Binary: 111101100010001100000110110000010000000000000002
- Hexadecimal: 0x7B1183608000
- Base-36: 1BYQX5V11C
Squares and roots of 135315148800000
- 135315148800000 squared (1353151488000002) is 18310189494766141440000000000
- 135315148800000 cubed (1353151488000003) is 2477646016040477250155446272000000000000000
-
The
square root of 135315148800000 is 11632503.9780779787 -
The
cube root of 135315148800000 is 51339.1656647915
Scales and comparisons
How big is 135315148800000?- 135,315,148,800,000 seconds is equal to 4,302,603 years, 9 weeks, 13 hours, 20 minutes.
-
To count from 1 to 135,315,148,800,000 would take you about ten million, seven hundred fifty-six thousand, five hundred seven 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 135315148800000 cubic inches would be around 4278.3 feet tall.
Recreational maths with 135315148800000
- 135315148800000 backwards is 000008841513531
- 135315148800000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135315148800000's digits is 39
- More coming soon!
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The information we have on file for 135315148800000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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