980148224
980,148,224 is an even composite number composed of four prime numbers multiplied together.
What does the number 980148224 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 112 divisors.
980148224 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 980148224:
213 × 11 × 73 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 73 × 149)See below for interesting mathematical facts about the number 980148224 from the Numbermatics database.
Names of 980148224
- Cardinal: 980148224 can be written as Nine hundred eighty million, one hundred forty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 9.80148224 × 108
Factors of 980148224
Divisors of 980148224
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 8 11 16 22 32 44 64 73 88 128 146 149 176 256 292 298 352 512 584 596 704 803 1024 1168 1192 1408 1606 1639 2048 2336 2384 2816 3212 3278 4096 4672 4768 5632 6424 6556 8192 9344 9536 10877 11264 12848 13112 18688 19072 21754 22528 25696 26224 37376 38144 43508 45056 51392 52448 74752 76288 87016 90112 102784 104896 119647 149504 152576 174032 205568 209792 239294 299008 305152 348064 411136 419584 478588 598016 610304 696128 822272 839168 957176 1220608 1392256 1644544 1678336 1914352 2784512 3289088 3356672 3828704 5569024 6578176 6713344 7657408 11138048 13426688 15314816 22276096 30629632 44552192 61259264 89104384 122518528 245037056 490074112 980148224
- Sum of all divisors σ(n): 2182215600
- Sum of proper divisors (its aliquot sum) s(n): 1202067376
- 980148224 is an abundant number, because the sum of its proper divisors (1202067376) is greater than itself. Its abundance is 221919152
Bases of 980148224
- Binary: 1110100110101111100000000000002
- Hexadecimal: 0x3A6BE000
- Base-36: G7JZ7K
Squares and roots of 980148224
- 980148224 squared (9801482242) is 960690541010354176
- 980148224 cubed (9801482243) is 941619127584897811217383424
-
The
square root of 980148224 is 31307.3190164855 -
The
cube root of 980148224 is 993.3384638065
Scales and comparisons
How big is 980148224?- 980,148,224 seconds is equal to 31 years, 8 weeks, 4 days, 7 hours, 23 minutes, 44 seconds.
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To count from 1 to 980,148,224 would take you about forty-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 980148224 cubic inches would be around 82.8 feet tall.
Recreational maths with 980148224
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Keywords: Divisors of 980148224, math, Factors of 980148224, curriculum, school, college, exams, university, Prime factorization of 980148224, STEM, science, technology, engineering, physics, economics, calculator, nine hundred eighty million, one hundred forty-eight thousand, two hundred twenty-four.