138516480
138,516,480 is an even composite number composed of four prime numbers multiplied together.
138516480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138516480:
211 × 34 × 5 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 167)See below for interesting mathematical facts about the number 138516480 from the Numbermatics database.
Names of 138516480
- Cardinal: 138516480 can be written as One hundred thirty-eight million, five hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3851648 × 108
Factors of 138516480
Divisors of 138516480
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 167 180 192 216 240 256 270 288 320 324 334 360 384 405 432 480 501 512 540 576 640 648 668 720 768 810 835 864 960 1002 1024 1080 1152 1280 1296 1336 1440 1503 1536 1620 1670 1728 1920 2004 2048 2160 2304 2505 2560 2592 2672 2880 3006 3072 3240 3340 3456 3840 4008 4320 4509 4608 5010 5120 5184 5344 5760 6012 6144 6480 6680 6912 7515 7680 8016 8640 9018 9216 10020 10240 10368 10688 11520 12024 12960 13360 13527 13824 15030 15360 16032 17280 18036 18432 20040 20736 21376 22545 23040 24048 25920 26720 27054 27648 30060 30720 32064 34560 36072 40080 41472 42752 45090 46080 48096 51840 53440 54108 55296 60120 64128 67635 69120 72144 80160 82944 85504 90180 92160 96192 103680 106880 108216 120240 128256 135270 138240 144288 160320 165888 171008 180360 192384 207360 213760 216432 240480 256512 270540 276480 288576 320640 342016 360720 384768 414720 427520 432864 480960 513024 541080 577152 641280 721440 769536 829440 855040 865728 961920 1026048 1082160 1154304 1282560 1442880 1539072 1710080 1731456 1923840 2164320 2308608 2565120 2885760 3078144 3462912 3847680 4328640 4617216 5130240 5771520 6925824 7695360 8657280 9234432 11543040 13851648 15390720 17314560 23086080 27703296 34629120 46172160 69258240 138516480
- Sum of all divisors σ(n): 499458960
- Sum of proper divisors (its aliquot sum) s(n): 360942480
- 138516480 is an abundant number, because the sum of its proper divisors (360942480) is greater than itself. Its abundance is 222426000
Bases of 138516480
- Binary: 10000100000110011000000000002
- Hexadecimal: 0x8419800
- Base-36: 2AGW00
Squares and roots of 138516480
- 138516480 squared (1385164802) is 19186815231590400
- 138516480 cubed (1385164803) is 2657690108290287009792000
-
The
square root of 138516480 is 11769.3024432207 -
The
cube root of 138516480 is 517.4088056067
Scales and comparisons
How big is 138516480?- 138,516,480 seconds is equal to 4 years, 21 weeks, 4 hours, 48 minutes.
-
To count from 1 to 138,516,480 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 138516480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138516480
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