997413375
997,413,375 is an odd composite number composed of six prime numbers multiplied together.
997413375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 997413375:
3 × 53 × 72 × 17 × 31 × 103
(3 × 5 × 5 × 5 × 7 × 7 × 17 × 31 × 103)See below for interesting mathematical facts about the number 997413375 from the Numbermatics database.
Names of 997413375
- Cardinal: 997413375 can be written as Nine hundred ninety-seven million, four hundred thirteen thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 9.97413375 × 108
Factors of 997413375
Divisors of 997413375
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 7 15 17 21 25 31 35 49 51 75 85 93 103 105 119 125 147 155 175 217 245 255 309 357 375 425 465 515 525 527 595 651 721 735 775 833 875 1085 1225 1275 1519 1545 1581 1751 1785 2125 2163 2325 2499 2575 2625 2635 2975 3193 3255 3605 3675 3689 3875 4165 4557 5047 5253 5425 6125 6375 7595 7725 7905 8755 8925 9579 10815 11067 11625 12257 12495 12875 13175 14875 15141 15965 16275 18025 18375 18445 20825 22351 22785 25235 25823 26265 27125 36771 37975 38625 39525 43775 44625 47895 54075 54281 55335 61285 62475 65875 67053 75705 77469 79825 81375 85799 90125 92225 104125 111755 113925 126175 129115 131325 156457 162843 183855 189875 197625 218875 239475 257397 270375 271405 276675 306425 312375 335265 378525 379967 387345 399125 428995 461125 469371 558775 569625 630875 645575 656625 782285 814215 919275 1139901 1197375 1286985 1357025 1383375 1532125 1676325 1892625 1899835 1936725 2144975 2346855 2659769 2793875 3227875 3911425 4071075 4596375 5699505 6434925 6785125 7979307 8381625 9499175 9683625 10724875 11734275 13298845 19557125 20355375 28497525 32174625 39896535 47495875 58671375 66494225 142487625 199482675 332471125 997413375
- Sum of all divisors σ(n): 2130665472
- Sum of proper divisors (its aliquot sum) s(n): 1133252097
- 997413375 is an abundant number, because the sum of its proper divisors (1133252097) is greater than itself. Its abundance is 135838722
Bases of 997413375
- Binary: 1110110111001101010001111111112
- Hexadecimal: 0x3B7351FF
- Base-36: GHU133
Squares and roots of 997413375
- 997413375 squared (9974133752) is 994833440628890625
- 997413375 cubed (9974133753) is 992260179580523920787109375
-
The
square root of 997413375 is 31581.8519881277 -
The
cube root of 997413375 is 999.1370471933
Scales and comparisons
How big is 997413375?- 997,413,375 seconds is equal to 31 years, 37 weeks, 1 day, 3 hours, 16 minutes, 15 seconds.
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To count from 1 to 997,413,375 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 997413375 cubic inches would be around 83.3 feet tall.
Recreational maths with 997413375
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