138648000
138,648,000 is an even composite number composed of five prime numbers multiplied together.
138648000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138648000:
26 × 3 × 53 × 53 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 53 × 109)See below for interesting mathematical facts about the number 138648000 from the Numbermatics database.
Names of 138648000
- Cardinal: 138648000 can be written as One hundred thirty-eight million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38648 × 108
Factors of 138648000
Divisors of 138648000
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 109 120 125 150 159 160 192 200 212 218 240 250 265 300 318 320 327 375 400 424 436 480 500 530 545 600 636 654 750 795 800 848 872 960 1000 1060 1090 1200 1272 1308 1325 1500 1590 1600 1635 1696 1744 2000 2120 2180 2400 2544 2616 2650 2725 3000 3180 3270 3392 3488 3975 4000 4240 4360 4800 5088 5232 5300 5450 5777 6000 6360 6540 6625 6976 7950 8000 8175 8480 8720 10176 10464 10600 10900 11554 12000 12720 13080 13250 13625 15900 16350 16960 17331 17440 19875 20928 21200 21800 23108 24000 25440 26160 26500 27250 28885 31800 32700 34662 34880 39750 40875 42400 43600 46216 50880 52320 53000 54500 57770 63600 65400 69324 79500 81750 84800 86655 87200 92432 104640 106000 109000 115540 127200 130800 138648 144425 159000 163500 173310 174400 184864 212000 218000 231080 254400 261600 277296 288850 318000 327000 346620 369728 424000 433275 436000 462160 523200 554592 577700 636000 654000 693240 722125 866550 872000 924320 1109184 1155400 1272000 1308000 1386480 1444250 1733100 1848640 2166375 2310800 2616000 2772960 2888500 3466200 4332750 4621600 5545920 5777000 6932400 8665500 9243200 11554000 13864800 17331000 23108000 27729600 34662000 46216000 69324000 138648000
- Sum of all divisors σ(n): 470733120
- Sum of proper divisors (its aliquot sum) s(n): 332085120
- 138648000 is an abundant number, because the sum of its proper divisors (332085120) is greater than itself. Its abundance is 193437120
Bases of 138648000
- Binary: 10000100001110011001110000002
- Hexadecimal: 0x84399C0
- Base-36: 2AJPHC
Squares and roots of 138648000
- 138648000 squared (1386480002) is 19223267904000000
- 138648000 cubed (1386480003) is 2665267648353792000000000
-
The
square root of 138648000 is 11774.8885345043 -
The
cube root of 138648000 is 517.5725119517
Scales and comparisons
How big is 138648000?- 138,648,000 seconds is equal to 4 years, 21 weeks, 1 day, 17 hours, 20 minutes.
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To count from 1 to 138,648,000 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 138648000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138648000
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The information we have on file for 138648000 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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