997972128
997,972,128 is an even composite number composed of four prime numbers multiplied together.
What does the number 997972128 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.
997972128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 997972128:
25 × 32 × 29 × 119489
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 119489)See below for interesting mathematical facts about the number 997972128 from the Numbermatics database.
Names of 997972128
- Cardinal: 997972128 can be written as Nine hundred ninety-seven million, nine hundred seventy-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.97972128 × 108
Factors of 997972128
Divisors of 997972128
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 119489 238978 358467 477956 716934 955912 1075401 1433868 1911824 2150802 2867736 3465181 3823648 4301604 5735472 6930362 8603208 10395543 11470944 13860724 17206416 20791086 27721448 31186629 34412832 41582172 55442896 62373258 83164344 110885792 124746516 166328688 249493032 332657376 498986064 997972128
- Sum of all divisors σ(n): 2935869300
- Sum of proper divisors (its aliquot sum) s(n): 1937897172
- 997972128 is an abundant number, because the sum of its proper divisors (1937897172) is greater than itself. Its abundance is 939925044
Bases of 997972128
- Binary: 1110110111101111011000101000002
- Hexadecimal: 0x3B7BD8A0
- Base-36: GI6080
Squares and roots of 997972128
- 997972128 squared (9979721282) is 995948368264848384
- 997972128 cubed (9979721283) is 993928712455398409377841152
-
The
square root of 997972128 is 31590.6968584107 -
The
cube root of 997972128 is 999.3235852329
Scales and comparisons
How big is 997972128?- 997,972,128 seconds is equal to 31 years, 38 weeks, 14 hours, 28 minutes, 48 seconds.
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To count from 1 to 997,972,128 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 997972128 cubic inches would be around 83.3 feet tall.
Recreational maths with 997972128
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