138259968
138,259,968 is an even composite number composed of five prime numbers multiplied together.
138259968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138259968:
29 × 3 × 72 × 11 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 167)See below for interesting mathematical facts about the number 138259968 from the Numbermatics database.
Names of 138259968
- Cardinal: 138259968 can be written as One hundred thirty-eight million, two hundred fifty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38259968 × 108
Factors of 138259968
Divisors of 138259968
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 128 132 147 154 167 168 176 192 196 224 231 256 264 294 308 334 336 352 384 392 448 462 501 512 528 539 588 616 668 672 704 768 784 896 924 1002 1056 1078 1169 1176 1232 1336 1344 1408 1536 1568 1617 1792 1837 1848 2004 2112 2156 2338 2352 2464 2672 2688 2816 3136 3234 3507 3584 3674 3696 4008 4224 4312 4676 4704 4928 5344 5376 5511 5632 6272 6468 7014 7348 7392 8016 8183 8448 8624 9352 9408 9856 10688 10752 11022 12544 12859 12936 14028 14696 14784 16032 16366 16896 17248 18704 18816 19712 21376 22044 24549 25088 25718 25872 28056 29392 29568 32064 32732 34496 37408 37632 38577 39424 42752 44088 49098 51436 51744 56112 58784 59136 64128 65464 68992 74816 75264 77154 85504 88176 90013 98196 102872 103488 112224 117568 118272 128256 130928 137984 149632 154308 176352 180026 196392 205744 206976 224448 235136 256512 261856 270039 275968 299264 308616 352704 360052 392784 411488 413952 448896 470272 523712 540078 598528 617232 705408 720104 785568 822976 827904 897792 940544 1047424 1080156 1234464 1410816 1440208 1571136 1645952 1795584 2094848 2160312 2468928 2821632 2880416 3142272 3291904 4189696 4320624 4937856 5760832 6284544 6583808 8641248 9875712 11521664 12569088 17282496 19751424 23043328 34564992 46086656 69129984 138259968
- Sum of all divisors σ(n): 470219904
- Sum of proper divisors (its aliquot sum) s(n): 331959936
- 138259968 is an abundant number, because the sum of its proper divisors (331959936) is greater than itself. Its abundance is 193699968
Bases of 138259968
- Binary: 10000011110110101110000000002
- Hexadecimal: 0x83DAE00
- Base-36: 2ABE2O
Squares and roots of 138259968
- 138259968 squared (1382599682) is 19115818751361024
- 138259968 cubed (1382599683) is 2642952488856975134687232
-
The
square root of 138259968 is 11758.3998911415 -
The
cube root of 138259968 is 517.0892200987
Scales and comparisons
How big is 138259968?- 138,259,968 seconds is equal to 4 years, 20 weeks, 4 days, 5 hours, 32 minutes, 48 seconds.
-
To count from 1 to 138,259,968 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 138259968 cubic inches would be around 43.1 feet tall.
Recreational maths with 138259968
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