993920016
993,920,016 is an even composite number composed of five prime numbers multiplied together.
993920016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 993920016:
24 × 3 × 29 × 312 × 743
(2 × 2 × 2 × 2 × 3 × 29 × 31 × 31 × 743)See below for interesting mathematical facts about the number 993920016 from the Numbermatics database.
Names of 993920016
- Cardinal: 993920016 can be written as Nine hundred ninety-three million, nine hundred twenty thousand and sixteen.
Scientific notation
- Scientific notation: 9.93920016 × 108
Factors of 993920016
Divisors of 993920016
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 743 744 899 961 1392 1486 1488 1798 1922 2229 2697 2883 2972 3596 3844 4458 5394 5766 5944 7192 7688 8916 10788 11532 11888 14384 15376 17832 21547 21576 23033 23064 27869 35664 43094 43152 46066 46128 55738 64641 69099 83607 86188 92132 111476 129282 138198 167214 172376 184264 222952 258564 276396 334428 344752 368528 445904 517128 552792 667957 668856 714023 1034256 1105584 1335914 1337712 1428046 2003871 2142069 2671828 2856092 4007742 4284138 5343656 5712184 8015484 8568276 10687312 11424368 16030968 17136552 20706667 32061936 34273104 41413334 62120001 82826668 124240002 165653336 248480004 331306672 496960008 993920016
- Sum of all divisors σ(n): 2748306240
- Sum of proper divisors (its aliquot sum) s(n): 1754386224
- 993920016 is an abundant number, because the sum of its proper divisors (1754386224) is greater than itself. Its abundance is 760466208
Bases of 993920016
- Binary: 1110110011111000000100000100002
- Hexadecimal: 0x3B3E0410
- Base-36: GFR5LC
Squares and roots of 993920016
- 993920016 squared (9939200162) is 987876998205440256
- 993920016 cubed (9939200163) is 981870721862383150530564096
-
The
square root of 993920016 is 31526.4970461357 -
The
cube root of 993920016 is 997.9692173805
Scales and comparisons
How big is 993920016?- 993,920,016 seconds is equal to 31 years, 31 weeks, 2 days, 16 hours, 53 minutes, 36 seconds.
-
To count from 1 to 993,920,016 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 993920016 cubic inches would be around 83.2 feet tall.
Recreational maths with 993920016
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