988146016
988,146,016 is an even composite number composed of five prime numbers multiplied together.
988146016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 988146016:
25 × 112 × 13 × 67 × 293
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 67 × 293)See below for interesting mathematical facts about the number 988146016 from the Numbermatics database.
Names of 988146016
- Cardinal: 988146016 can be written as Nine hundred eighty-eight million, one hundred forty-six thousand and sixteen.
Scientific notation
- Scientific notation: 9.88146016 × 108
Factors of 988146016
Divisors of 988146016
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 67 88 104 121 134 143 176 208 242 268 286 293 352 416 484 536 572 586 737 871 968 1072 1144 1172 1474 1573 1742 1936 2144 2288 2344 2948 3146 3223 3484 3809 3872 4576 4688 5896 6292 6446 6968 7618 8107 9376 9581 11792 12584 12892 13936 15236 16214 19162 19631 23584 25168 25784 27872 30472 32428 35453 38324 39262 41899 50336 51568 60944 64856 70906 76648 78524 83798 103136 105391 121888 129712 141812 153296 157048 167596 210782 215941 255203 259424 283624 306592 314096 335192 421564 431882 460889 510406 567248 628192 670384 843128 863764 921778 1020812 1134496 1340768 1686256 1727528 1843556 2041624 2375351 2807233 3372512 3455056 3687112 4083248 4750702 5614466 6910112 7374224 8166496 9501404 11228932 14748448 19002808 22457864 30879563 38005616 44915728 61759126 76011232 89831456 123518252 247036504 494073008 988146016
- Sum of all divisors σ(n): 2345181552
- Sum of proper divisors (its aliquot sum) s(n): 1357035536
- 988146016 is an abundant number, because the sum of its proper divisors (1357035536) is greater than itself. Its abundance is 368889520
Bases of 988146016
- Binary: 1110101110010111101001011000002
- Hexadecimal: 0x3AE5E960
- Base-36: GCBECG
Squares and roots of 988146016
- 988146016 squared (9881460162) is 976432548936672256
- 988146016 cubed (9881460163) is 964857933124497726064132096
-
The
square root of 988146016 is 31434.7898990911 -
The
cube root of 988146016 is 996.0329553673
Scales and comparisons
How big is 988146016?- 988,146,016 seconds is equal to 31 years, 21 weeks, 5 days, 21 hours, 16 seconds.
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To count from 1 to 988,146,016 would take you about forty-seven 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 988146016 cubic inches would be around 83 feet tall.
Recreational maths with 988146016
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