138861216
138,861,216 is an even composite number composed of four prime numbers multiplied together.
138861216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 138861216:
25 × 34 × 132 × 317
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 317)See below for interesting mathematical facts about the number 138861216 from the Numbermatics database.
Names of 138861216
- Cardinal: 138861216 can be written as One hundred thirty-eight million, eight hundred sixty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38861216 × 108
Factors of 138861216
Divisors of 138861216
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 169 208 216 234 288 312 317 324 338 351 416 432 468 507 624 634 648 676 702 864 936 951 1014 1053 1248 1268 1296 1352 1404 1521 1872 1902 2028 2106 2536 2592 2704 2808 2853 3042 3744 3804 4056 4121 4212 4563 5072 5408 5616 5706 6084 7608 8112 8242 8424 8559 9126 10144 11232 11412 12168 12363 13689 15216 16224 16484 16848 17118 18252 22824 24336 24726 25677 27378 30432 32968 33696 34236 36504 37089 45648 48672 49452 51354 53573 54756 65936 68472 73008 74178 91296 98904 102708 107146 109512 111267 131872 136944 146016 148356 160719 197808 205416 214292 219024 222534 273888 296712 321438 333801 395616 410832 428584 438048 445068 482157 593424 642876 667602 821664 857168 890136 964314 1186848 1285752 1335204 1446471 1714336 1780272 1928628 2571504 2670408 2892942 3560544 3857256 4339413 5143008 5340816 5785884 7714512 8678826 10681632 11571768 15429024 17357652 23143536 34715304 46287072 69430608 138861216
- Sum of all divisors σ(n): 443612862
- Sum of proper divisors (its aliquot sum) s(n): 304751646
- 138861216 is an abundant number, because the sum of its proper divisors (304751646) is greater than itself. Its abundance is 165890430
Bases of 138861216
- Binary: 10000100011011011010101000002
- Hexadecimal: 0x846DAA0
- Base-36: 2AOA00
Squares and roots of 138861216
- 138861216 squared (1388612162) is 19282437308998656
- 138861216 cubed (1388612163) is 2677582692171321114525696
-
The
square root of 138861216 is 11783.9389000453 -
The
cube root of 138861216 is 517.8376876011
Scales and comparisons
How big is 138861216?- 138,861,216 seconds is equal to 4 years, 21 weeks, 4 days, 4 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,861,216 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 138861216 cubic inches would be around 43.2 feet tall.
Recreational maths with 138861216
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