138540480
138,540,480 is an even composite number composed of six prime numbers multiplied together.
138540480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138540480:
26 × 3 × 5 × 13 × 17 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 653)See below for interesting mathematical facts about the number 138540480 from the Numbermatics database.
Names of 138540480
- Cardinal: 138540480 can be written as One hundred thirty-eight million, five hundred forty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3854048 × 108
Factors of 138540480
Divisors of 138540480
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 130 136 156 160 170 192 195 204 208 221 240 255 260 272 312 320 340 390 408 416 442 480 510 520 544 624 653 663 680 780 816 832 884 960 1020 1040 1088 1105 1248 1306 1326 1360 1560 1632 1768 1959 2040 2080 2210 2496 2612 2652 2720 3120 3264 3265 3315 3536 3918 4080 4160 4420 5224 5304 5440 6240 6530 6630 7072 7836 8160 8489 8840 9795 10448 10608 11101 12480 13060 13260 14144 15672 16320 16978 17680 19590 20896 21216 22202 25467 26120 26520 31344 33303 33956 35360 39180 41792 42432 42445 44404 50934 52240 53040 55505 62688 66606 67912 70720 78360 84890 88808 101868 104480 106080 111010 125376 127335 133212 135824 144313 156720 166515 169780 177616 203736 208960 212160 222020 254670 266424 271648 288626 313440 333030 339560 355232 407472 432939 444040 509340 532848 543296 577252 626880 666060 679120 710464 721565 814944 865878 888080 1018680 1065696 1154504 1332120 1358240 1443130 1629888 1731756 1776160 2037360 2131392 2164695 2309008 2664240 2716480 2886260 3463512 3552320 4074720 4329390 4618016 5328480 5772520 6927024 8149440 8658780 9236032 10656960 11545040 13854048 17317560 23090080 27708096 34635120 46180160 69270240 138540480
- Sum of all divisors σ(n): 502334784
- Sum of proper divisors (its aliquot sum) s(n): 363794304
- 138540480 is an abundant number, because the sum of its proper divisors (363794304) is greater than itself. Its abundance is 225253824
Bases of 138540480
- Binary: 10000100000111110101110000002
- Hexadecimal: 0x841F5C0
- Base-36: 2AHEIO
Squares and roots of 138540480
- 138540480 squared (1385404802) is 19193464598630400
- 138540480 cubed (1385404803) is 2659071798357262958592000
-
The
square root of 138540480 is 11770.3220006931 -
The
cube root of 138540480 is 517.4386867545
Scales and comparisons
How big is 138540480?- 138,540,480 seconds is equal to 4 years, 21 weeks, 11 hours, 28 minutes.
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To count from 1 to 138,540,480 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 138540480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138540480
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The information we have on file for 138540480 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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