389918144
389,918,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 389918144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.
389918144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 389918144:
26 × 7 × 112 × 7193
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 7193)See below for interesting mathematical facts about the number 389918144 from the Numbermatics database.
Names of 389918144
- Cardinal: 389918144 can be written as Three hundred eighty-nine million, nine hundred eighteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.89918144 × 108
Factors of 389918144
Divisors of 389918144
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1936 2464 3388 3872 4928 6776 7193 7744 13552 14386 27104 28772 50351 54208 57544 79123 100702 115088 158246 201404 230176 316492 402808 460352 553861 632984 805616 870353 1107722 1265968 1611232 1740706 2215444 2531936 3222464 3481412 4430888 5063872 6092471 6962824 8861776 12184942 13925648 17723552 24369884 27851296 35447104 48739768 55702592 97479536 194959072 389918144
- Sum of all divisors σ(n): 972110832
- Sum of proper divisors (its aliquot sum) s(n): 582192688
- 389918144 is an abundant number, because the sum of its proper divisors (582192688) is greater than itself. Its abundance is 192274544
Bases of 389918144
- Binary: 101110011110110101101110000002
- Hexadecimal: 0x173DADC0
- Base-36: 6G5ARK
Squares and roots of 389918144
- 389918144 squared (3899181442) is 152036159020404736
- 389918144 cubed (3899181443) is 59281656946125072789929984
-
The
square root of 389918144 is 19746.3450795331 -
The
cube root of 389918144 is 730.5632383005
Scales and comparisons
How big is 389918144?- 389,918,144 seconds is equal to 12 years, 20 weeks, 4 days, 22 hours, 35 minutes, 44 seconds.
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To count from 1 to 389,918,144 would take you about eighteen 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 389918144 cubic inches would be around 60.9 feet tall.
Recreational maths with 389918144
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