138916512
138,916,512 is an even composite number composed of five prime numbers multiplied together.
138916512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138916512:
25 × 33 × 7 × 103 × 223
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 103 × 223)See below for interesting mathematical facts about the number 138916512 from the Numbermatics database.
Names of 138916512
- Cardinal: 138916512 can be written as One hundred thirty-eight million, nine hundred sixteen thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38916512 × 108
Factors of 138916512
Divisors of 138916512
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 103 108 112 126 144 168 189 206 216 223 224 252 288 309 336 378 412 432 446 504 618 669 672 721 756 824 864 892 927 1008 1236 1338 1442 1512 1561 1648 1784 1854 2007 2016 2163 2472 2676 2781 2884 3024 3122 3296 3568 3708 4014 4326 4683 4944 5352 5562 5768 6021 6048 6244 6489 7136 7416 8028 8652 9366 9888 10704 11124 11536 12042 12488 12978 14049 14832 16056 17304 18732 19467 21408 22248 22969 23072 24084 24976 25956 28098 29664 32112 34608 37464 38934 42147 44496 45938 48168 49952 51912 56196 64224 68907 69216 74928 77868 84294 88992 91876 96336 103824 112392 137814 149856 155736 160783 168588 183752 192672 206721 207648 224784 275628 311472 321566 337176 367504 413442 449568 482349 551256 620163 622944 643132 674352 735008 826884 964698 1102512 1240326 1286264 1348704 1447047 1653768 1929396 2205024 2480652 2572528 2894094 3307536 3858792 4341141 4961304 5145056 5788188 6615072 7717584 8682282 9922608 11576376 15435168 17364564 19845216 23152752 34729128 46305504 69458256 138916512
- Sum of all divisors σ(n): 469647360
- Sum of proper divisors (its aliquot sum) s(n): 330730848
- 138916512 is an abundant number, because the sum of its proper divisors (330730848) is greater than itself. Its abundance is 191814336
Bases of 138916512
- Binary: 10000100011110110010101000002
- Hexadecimal: 0x847B2A0
- Base-36: 2APGO0
Squares and roots of 138916512
- 138916512 squared (1389165122) is 19297797306246144
- 138916512 cubed (1389165123) is 2680782691066710137929728
-
The
square root of 138916512 is 11786.2849108615 -
The
cube root of 138916512 is 517.9064146213
Scales and comparisons
How big is 138916512?- 138,916,512 seconds is equal to 4 years, 21 weeks, 4 days, 19 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,916,512 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 138916512 cubic inches would be around 43.2 feet tall.
Recreational maths with 138916512
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