138849984
138,849,984 is an even composite number composed of five prime numbers multiplied together.
138849984 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 138849984:
26 × 33 × 7 × 13 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 883)See below for interesting mathematical facts about the number 138849984 from the Numbermatics database.
Names of 138849984
- Cardinal: 138849984 can be written as One hundred thirty-eight million, eight hundred forty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38849984 × 108
Factors of 138849984
Divisors of 138849984
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 416 432 448 468 504 546 576 624 672 702 728 756 819 832 864 883 936 1008 1092 1248 1344 1404 1456 1512 1638 1728 1766 1872 2016 2184 2457 2496 2649 2808 2912 3024 3276 3532 3744 4032 4368 4914 5298 5616 5824 6048 6181 6552 7064 7488 7947 8736 9828 10596 11232 11479 12096 12362 13104 14128 15894 17472 18543 19656 21192 22464 22958 23841 24724 26208 28256 31788 34437 37086 39312 42384 45916 47682 49448 52416 55629 56512 63576 68874 74172 78624 80353 84768 91832 95364 98896 103311 111258 127152 137748 148344 157248 160706 166887 169536 183664 190728 197792 206622 222516 241059 254304 275496 296688 309933 321412 333774 367328 381456 395584 413244 445032 482118 508608 550992 593376 619866 642824 667548 723177 734656 762912 826488 890064 964236 1101984 1186752 1239732 1285648 1335096 1446354 1525824 1652976 1780128 1928472 2169531 2203968 2479464 2571296 2670192 2892708 3305952 3560256 3856944 4339062 4958928 5142592 5340384 5785416 6611904 7713888 8678124 9917856 10680768 11570832 15427776 17356248 19835712 23141664 34712496 46283328 69424992 138849984
- Sum of all divisors σ(n): 502960640
- Sum of proper divisors (its aliquot sum) s(n): 364110656
- 138849984 is an abundant number, because the sum of its proper divisors (364110656) is greater than itself. Its abundance is 225260672
Bases of 138849984
- Binary: 10000100011010101110110000002
- Hexadecimal: 0x846AEC0
- Base-36: 2AO1C0
Squares and roots of 138849984
- 138849984 squared (1388499842) is 19279318056800256
- 138849984 cubed (1388499843) is 2676933003717626636795904
-
The
square root of 138849984 is 11783.4623095251 -
The
cube root of 138849984 is 517.8237251959
Scales and comparisons
How big is 138849984?- 138,849,984 seconds is equal to 4 years, 21 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
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To count from 1 to 138,849,984 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 138849984 cubic inches would be around 43.2 feet tall.
Recreational maths with 138849984
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