138716928
138,716,928 is an even composite number composed of five prime numbers multiplied together.
138716928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138716928:
28 × 33 × 7 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 47 × 61)See below for interesting mathematical facts about the number 138716928 from the Numbermatics database.
Names of 138716928
- Cardinal: 138716928 can be written as One hundred thirty-eight million, seven hundred sixteen thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38716928 × 108
Factors of 138716928
Divisors of 138716928
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 54 56 61 63 64 72 84 94 96 108 112 122 126 128 141 144 168 183 188 189 192 216 224 244 252 256 282 288 329 336 366 376 378 384 423 427 432 448 488 504 549 564 576 658 672 732 752 756 768 846 854 864 896 976 987 1008 1098 1128 1152 1269 1281 1316 1344 1464 1504 1512 1647 1692 1708 1728 1792 1952 1974 2016 2196 2256 2304 2538 2562 2632 2688 2867 2928 2961 3008 3024 3294 3384 3416 3456 3843 3904 3948 4032 4392 4512 5076 5124 5264 5376 5734 5856 5922 6016 6048 6588 6768 6832 6912 7686 7808 7896 8064 8601 8784 8883 9024 10152 10248 10528 11468 11529 11712 11844 12032 12096 13176 13536 13664 15372 15616 15792 16128 17202 17568 17766 18048 20069 20304 20496 21056 22936 23058 23424 23688 24192 25803 26352 27072 27328 30744 31584 34404 35136 35532 36096 40138 40608 40992 42112 45872 46116 46848 47376 48384 51606 52704 54144 54656 60207 61488 63168 68808 70272 71064 77409 80276 81216 81984 84224 91744 92232 94752 103212 105408 108288 109312 120414 122976 126336 137616 140544 142128 154818 160552 162432 163968 180621 183488 184464 189504 206424 210816 240828 245952 252672 275232 284256 309636 321104 324864 327936 361242 366976 368928 379008 412848 421632 481656 491904 541863 550464 568512 619272 642208 722484 733952 737856 758016 825696 963312 983808 1083726 1100928 1137024 1238544 1284416 1444968 1475712 1651392 1926624 2167452 2201856 2274048 2477088 2568832 2889936 2951424 3302784 3853248 4334904 4954176 5137664 5779872 6605568 7706496 8669808 9908352 11559744 15412992 17339616 19816704 23119488 34679232 46238976 69358464 138716928
- Sum of all divisors σ(n): 486635520
- Sum of proper divisors (its aliquot sum) s(n): 347918592
- 138716928 is an abundant number, because the sum of its proper divisors (347918592) is greater than itself. Its abundance is 209201664
Bases of 138716928
- Binary: 10000100010010100111000000002
- Hexadecimal: 0x844A700
- Base-36: 2AL6O0
Squares and roots of 138716928
- 138716928 squared (1387169282) is 19242386113757184
- 138716928 cubed (1387169283) is 2669244689090255102410752
-
The
square root of 138716928 is 11777.8150775091 -
The
cube root of 138716928 is 517.6582670721
Scales and comparisons
How big is 138716928?- 138,716,928 seconds is equal to 4 years, 21 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,716,928 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 138716928 cubic inches would be around 43.1 feet tall.
Recreational maths with 138716928
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