138649536
138,649,536 is an even composite number composed of five prime numbers multiplied together.
138649536 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138649536:
26 × 33 × 19 × 41 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 41 × 103)See below for interesting mathematical facts about the number 138649536 from the Numbermatics database.
Names of 138649536
- Cardinal: 138649536 can be written as One hundred thirty-eight million, six hundred forty-nine thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.38649536 × 108
Factors of 138649536
Divisors of 138649536
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 41 48 54 57 64 72 76 82 96 103 108 114 123 144 152 164 171 192 206 216 228 246 288 304 309 328 342 369 412 432 456 492 513 576 608 618 656 684 738 779 824 864 912 927 984 1026 1107 1216 1236 1312 1368 1476 1558 1648 1728 1824 1854 1957 1968 2052 2214 2337 2472 2624 2736 2781 2952 3116 3296 3648 3708 3914 3936 4104 4223 4428 4674 4944 5472 5562 5871 5904 6232 6592 7011 7416 7828 7872 8208 8446 8856 9348 9888 10944 11124 11742 11808 12464 12669 14022 14832 15656 16416 16892 17613 17712 18696 19776 21033 22248 23484 23616 24928 25338 28044 29664 31312 32832 33784 35226 35424 37392 38007 42066 44496 46968 49856 50676 52839 56088 59328 62624 67568 70452 70848 74784 76014 80237 84132 88992 93936 101352 105678 112176 114021 125248 135136 140904 149568 152028 160474 168264 177984 187872 202704 211356 224352 228042 240711 270272 281808 304056 320948 336528 375744 405408 422712 448704 456084 481422 563616 608112 641896 673056 722133 810816 845424 912168 962844 1127232 1216224 1283792 1346112 1444266 1690848 1824336 1925688 2166399 2432448 2567584 2888532 3381696 3648672 3851376 4332798 5135168 5777064 7297344 7702752 8665596 11554128 15405504 17331192 23108256 34662384 46216512 69324768 138649536
- Sum of all divisors σ(n): 443788800
- Sum of proper divisors (its aliquot sum) s(n): 305139264
- 138649536 is an abundant number, because the sum of its proper divisors (305139264) is greater than itself. Its abundance is 166489728
Bases of 138649536
- Binary: 10000100001110011111110000002
- Hexadecimal: 0x8439FC0
- Base-36: 2AJQO0
Squares and roots of 138649536
- 138649536 squared (1386495362) is 19223693833015296
- 138649536 cubed (1386495363) is 2665356230153632271302656
-
The
square root of 138649536 is 11774.9537578711 -
The
cube root of 138649536 is 517.5744232389
Scales and comparisons
How big is 138649536?- 138,649,536 seconds is equal to 4 years, 21 weeks, 1 day, 17 hours, 45 minutes, 36 seconds.
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To count from 1 to 138,649,536 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 138649536 cubic inches would be around 43.1 feet tall.
Recreational maths with 138649536
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