997128144
997,128,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 997128144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 120 divisors.
997128144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 997128144:
24 × 35 × 31 × 8273
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 31 × 8273)See below for interesting mathematical facts about the number 997128144 from the Numbermatics database.
Names of 997128144
- Cardinal: 997128144 can be written as Nine hundred ninety-seven million, one hundred twenty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.97128144 × 108
Factors of 997128144
Divisors of 997128144
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 8273 10044 13392 15066 16546 20088 24819 30132 33092 40176 49638 60264 66184 74457 99276 120528 132368 148914 198552 223371 256463 297828 397104 446742 512926 595656 670113 769389 893484 1025852 1191312 1340226 1538778 1786968 2010339 2051704 2308167 2680452 3077556 3573936 4020678 4103408 4616334 5360904 6155112 6924501 8041356 9232668 10721808 12310224 13849002 16082712 18465336 20773503 27698004 32165424 36930672 41547006 55396008 62320509 83094012 110792016 124641018 166188024 249282036 332376048 498564072 997128144
- Sum of all divisors σ(n): 2987642112
- Sum of proper divisors (its aliquot sum) s(n): 1990513968
- 997128144 is an abundant number, because the sum of its proper divisors (1990513968) is greater than itself. Its abundance is 993385824
Bases of 997128144
- Binary: 1110110110111011110111110100002
- Hexadecimal: 0x3B6EF7D0
- Base-36: GHNX00
Squares and roots of 997128144
- 997128144 squared (9971281442) is 994264535556884736
- 997128144 cubed (9971281443) is 991409150984858483229609984
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The
square root of 997128144 is 31577.3359230953 -
The
cube root of 997128144 is 999.0417968065
Scales and comparisons
How big is 997128144?- 997,128,144 seconds is equal to 31 years, 36 weeks, 4 days, 20 hours, 2 minutes, 24 seconds.
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To count from 1 to 997,128,144 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 997128144 cubic inches would be around 83.3 feet tall.
Recreational maths with 997128144
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