138153540
138,153,540 is an even composite number composed of five prime numbers multiplied together.
138153540 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 138153540:
22 × 3 × 5 × 75 × 137
(2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 137)See below for interesting mathematical facts about the number 138153540 from the Numbermatics database.
Names of 138153540
- Cardinal: 138153540 can be written as One hundred thirty-eight million, one hundred fifty-three thousand, five hundred forty.
Scientific notation
- Scientific notation: 1.3815354 × 108
Factors of 138153540
Divisors of 138153540
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 137 140 147 196 210 245 274 294 343 411 420 490 548 588 685 686 735 822 959 980 1029 1370 1372 1470 1644 1715 1918 2055 2058 2401 2740 2877 2940 3430 3836 4110 4116 4795 4802 5145 5754 6713 6860 7203 8220 9590 9604 10290 11508 12005 13426 14385 14406 16807 19180 20139 20580 24010 26852 28770 28812 33565 33614 36015 40278 46991 48020 50421 57540 67130 67228 72030 80556 84035 93982 100695 100842 134260 140973 144060 168070 187964 201390 201684 234955 252105 281946 328937 336140 402780 469910 504210 563892 657874 704865 939820 986811 1008420 1315748 1409730 1644685 1973622 2302559 2819460 3289370 3947244 4605118 4934055 6578740 6907677 9210236 9868110 11512795 13815354 19736220 23025590 27630708 34538385 46051180 69076770 138153540
- Sum of all divisors σ(n): 454591872
- Sum of proper divisors (its aliquot sum) s(n): 316438332
- 138153540 is an abundant number, because the sum of its proper divisors (316438332) is greater than itself. Its abundance is 178284792
Bases of 138153540
- Binary: 10000011110000001110010001002
- Hexadecimal: 0x83C0E44
- Base-36: 2A93YC
Squares and roots of 138153540
- 138153540 squared (1381535402) is 19086400614531600
- 138153540 cubed (1381535403) is 2636853810755715981864000
-
The
square root of 138153540 is 11753.8734041167 -
The
cube root of 138153540 is 516.9565065853
Scales and comparisons
How big is 138153540?- 138,153,540 seconds is equal to 4 years, 20 weeks, 2 days, 23 hours, 59 minutes.
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To count from 1 to 138,153,540 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 138153540 cubic inches would be around 43.1 feet tall.
Recreational maths with 138153540
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