138249216
138,249,216 is an even composite number composed of four prime numbers multiplied together.
138249216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-two divisors.
Prime factorization of 138249216:
210 × 32 × 7 × 2143
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 2143)See below for interesting mathematical facts about the number 138249216 from the Numbermatics database.
Names of 138249216
- Cardinal: 138249216 can be written as One hundred thirty-eight million, two hundred forty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38249216 × 108
Factors of 138249216
Divisors of 138249216
- Number of divisors d(n): 132
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2143 2304 2688 3072 3584 4032 4286 4608 5376 6429 7168 8064 8572 9216 10752 12858 15001 16128 17144 19287 21504 25716 30002 32256 34288 38574 45003 51432 60004 64512 68576 77148 90006 102864 120008 135009 137152 154296 180012 205728 240016 270018 274304 308592 360024 411456 480032 540036 548608 617184 720048 822912 960064 1080072 1097216 1234368 1440096 1645824 1920128 2160144 2194432 2468736 2880192 3291648 3840256 4320288 4937472 5760384 6583296 7680512 8640576 9874944 11520768 15361024 17281152 19749888 23041536 34562304 46083072 69124608 138249216
- Sum of all divisors σ(n): 456431872
- Sum of proper divisors (its aliquot sum) s(n): 318182656
- 138249216 is an abundant number, because the sum of its proper divisors (318182656) is greater than itself. Its abundance is 179933440
Bases of 138249216
- Binary: 10000011110110000100000000002
- Hexadecimal: 0x83D8400
- Base-36: 2AB5S0
Squares and roots of 138249216
- 138249216 squared (1382492162) is 19112845724614656
- 138249216 cubed (1382492163) is 2642335936956928094109696
-
The
square root of 138249216 is 11757.9426771863 -
The
cube root of 138249216 is 517.0758156707
Scales and comparisons
How big is 138249216?- 138,249,216 seconds is equal to 4 years, 20 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,249,216 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 138249216 cubic inches would be around 43.1 feet tall.
Recreational maths with 138249216
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