138224307200000
138,224,307,200,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138224307200000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
138224307200000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138224307200000:
213 × 55 × 7 × 173 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 157)See below for interesting mathematical facts about the number 138224307200000 from the Numbermatics database.
Names of 138224307200000
- Cardinal: 138224307200000 can be written as One hundred thirty-eight trillion, two hundred twenty-four billion, three hundred seven million, two hundred thousand.
Scientific notation
- Scientific notation: 1.382243072 × 1014
Factors of 138224307200000
Divisors of 138224307200000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 157 160 170 175 200 224 238 250 256 272 280 289 314 320 340 350 400 425 448 476 500 512 544 560 578 595 625 628 640 680 700 785 800 850 875 896 952 1000 1024 1088 1099 1120 1156 1190 1250 1256 1280 1360 1400 1445 1570 1600 1700 1750 1792 1904 2000 2023 2048 2125 2176 2198 2240 2312 2380 2500 2512 2560 2669 2720 2800 2890 2975 3125 3140 3200 3400 3500 3584 3808 3925 4000 4046 4096 4250 4352 4375 4396 4480 4624 4760 4913 5000 5024 5120 5338 5440 5495 5600 5780 5950 6250 6280 6400 6800 7000 7168 7225 7616 7850 8000 8092 8192 8500 8704 8750 8792 8960 9248 9520 9826 10000 10048 10115 10240 10625 10676 10880 10990 11200 11560 11900 12500 12560 12800 13345 13600 14000 14336 14450 14875 15232 15700 16000 16184 17000 17408 17500 17584 17920 18496 18683 19040 19625 19652 20000 20096 20230 20480 21250 21352 21760 21875 21980 22400 23120 23800 24565 25000 25120 25600 26690 27200 27475 28000 28672 28900 29750 30464 31400 32000 32368 34000 34391 34816 35000 35168 35840 36125 36992 37366 38080 39250 39304 40000 40192 40460 40960 42500 42704 43520 43750 43960 44800 45373 46240 47600 49130 50000 50240 50575 51200 53125 53380 54400 54950 56000 57344 57800 59500 60928 62800 64000 64736 66725 68000 68782 69632 70000 70336 71680 72250 73984 74375 74732 76160 78500 78608 80000 80384 80920 85000 85408 87040 87500 87920 89600 90746 92480 93415 95200 98125 98260 100000 100480 101150 102400 106250 106760 108800 109900 112000 115600 119000 121856 122825 125600 128000 129472 133450 136000 137375 137564 139264 140000 140672 143360 144500 147968 148750 149464 152320 157000 157216 160000 160768 161840 170000 170816 171955 174080 175000 175840 179200 180625 181492 184960 186830 190400 196250 196520 200000 200960 202300 204800 212500 213520 217600 219800 224000 226865 231200 238000 243712 245650 251200 252875 256000 258944 266900 272000 274750 275128 280000 281344 286720 289000 295936 297500 298928 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552897228800 580774400000 617072800000 691121536000 789853184000 813084160000 863901920000 880409600000 987316480000 1016355200000 1079877400000 1105794457600 1161548800000 1234145600000 1382243072000 1626168320000 1727803840000 1974632960000 2032710400000 2159754800000 2468291200000 2764486144000 3455607680000 3949265920000 4065420800000 4319509600000 4936582400000 5528972288000 6911215360000 8130841600000 8639019200000 9873164800000 13822430720000 17278038400000 19746329600000 27644861440000 34556076800000 69112153600000 138224307200000
- Sum of all divisors σ(n): 422224322163840
- Sum of proper divisors (its aliquot sum) s(n): 284000014963840
- 138224307200000 is an abundant number, because the sum of its proper divisors (284000014963840) is greater than itself. Its abundance is 145775707763840
Bases of 138224307200000
- Binary: 111110110110110110110101011101011100000000000002
- Hexadecimal: 0x7DB6DABAE000
- Base-36: 1CZVDBNSOW
Squares and roots of 138224307200000
- 138224307200000 squared (1382243072000002) is 19105959100919971840000000000
- 138224307200000 cubed (1382243072000003) is 2640907960116197990227509248000000000000000
-
The
square root of 138224307200000 is 11756883.3965468927 -
The
cube root of 138224307200000 is 51704.4759408517
Scales and comparisons
How big is 138224307200000?- 138,224,307,200,000 seconds is equal to 4,395,105 years, 21 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,224,307,200,000 would take you about ten million, nine hundred eighty-seven thousand, seven hundred sixty-three 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 138224307200000 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138224307200000
- 138224307200000 backwards is 000002703422831
- 138224307200000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138224307200000's digits is 32
- More coming soon!
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The information we have on file for 138224307200000 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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