997641225
997,641,225 is an odd composite number composed of five prime numbers multiplied together.
997641225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 997641225:
33 × 52 × 73 × 31 × 139
(3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 31 × 139)See below for interesting mathematical facts about the number 997641225 from the Numbermatics database.
Names of 997641225
- Cardinal: 997641225 can be written as Nine hundred ninety-seven million, six hundred forty-one thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 9.97641225 × 108
Factors of 997641225
Divisors of 997641225
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 7 9 15 21 25 27 31 35 45 49 63 75 93 105 135 139 147 155 175 189 217 225 245 279 315 343 417 441 465 525 651 675 695 735 775 837 945 973 1029 1085 1225 1251 1323 1395 1519 1575 1715 1953 2085 2205 2325 2919 3087 3255 3475 3675 3753 4185 4309 4557 4725 4865 5145 5425 5859 6255 6615 6811 6975 7595 8575 8757 9261 9765 10425 10633 11025 12927 13671 14595 15435 16275 18765 20433 20925 21545 22785 24325 25725 26271 29295 30163 31275 31899 33075 34055 37975 38781 41013 43785 46305 47677 48825 53165 61299 64635 68355 72975 77175 90489 93825 95697 102165 107725 113925 116343 131355 143031 146475 150815 159495 170275 183897 193905 205065 211141 218925 231525 238385 265825 271467 287091 306495 323175 341775 429093 452445 478485 510825 581715 633423 656775 715155 754075 797475 814401 919485 969525 1025325 1055705 1191925 1287279 1357335 1435455 1477987 1532475 1900269 2145465 2262225 2392425 2908575 3167115 3575775 4072005 4433961 4597425 5278525 5700807 6436395 6786675 7177275 7389935 9501345 10727325 13301883 15835575 20360025 22169805 28504035 32181975 36949675 39905649 47506725 66509415 110849025 142520175 199528245 332547075 997641225
- Sum of all divisors σ(n): 2222080000
- Sum of proper divisors (its aliquot sum) s(n): 1224438775
- 997641225 is an abundant number, because the sum of its proper divisors (1224438775) is greater than itself. Its abundance is 226797550
Bases of 997641225
- Binary: 1110110111011011001100000010012
- Hexadecimal: 0x3B76CC09
- Base-36: GHYWW9
Squares and roots of 997641225
- 997641225 squared (9976412252) is 995288013819500625
- 997641225 cubed (9976412253) is 992940353334703532413265625
-
The
square root of 997641225 is 31585.4590753403 -
The
cube root of 997641225 is 999.2131226531
Scales and comparisons
How big is 997641225?- 997,641,225 seconds is equal to 31 years, 37 weeks, 3 days, 18 hours, 33 minutes, 45 seconds.
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To count from 1 to 997,641,225 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 997641225 cubic inches would be around 83.3 feet tall.
Recreational maths with 997641225
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Keywords: Divisors of 997641225, math, Factors of 997641225, curriculum, school, college, exams, university, Prime factorization of 997641225, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven million, six hundred forty-one thousand, two hundred twenty-five.