997441368
997,441,368 is an even composite number composed of seven prime numbers multiplied together.
997441368 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 997441368:
23 × 3 × 7 × 11 × 23 × 31 × 757
(2 × 2 × 2 × 3 × 7 × 11 × 23 × 31 × 757)See below for interesting mathematical facts about the number 997441368 from the Numbermatics database.
Names of 997441368
- Cardinal: 997441368 can be written as Nine hundred ninety-seven million, four hundred forty-one thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 9.97441368 × 108
Factors of 997441368
Divisors of 997441368
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 31 33 42 44 46 56 62 66 69 77 84 88 92 93 124 132 138 154 161 168 184 186 217 231 248 253 264 276 308 322 341 372 434 462 483 506 552 616 644 651 682 713 744 757 759 868 924 966 1012 1023 1288 1302 1364 1426 1514 1518 1736 1771 1848 1932 2024 2046 2139 2271 2387 2604 2728 2852 3028 3036 3542 3864 4092 4278 4542 4774 4991 5208 5299 5313 5704 6056 6072 7084 7161 7843 8184 8327 8556 9084 9548 9982 10598 10626 14168 14322 14973 15686 15897 16654 17112 17411 18168 19096 19964 21196 21252 23467 23529 24981 28644 29946 31372 31794 33308 34822 39928 42392 42504 46934 47058 49962 52233 54901 57288 58289 59892 62744 63588 66616 69644 70401 93868 94116 99924 104466 109802 116578 119784 121877 127176 139288 140802 164269 164703 174867 187736 188232 191521 199848 208932 219604 233156 243754 258137 281604 328538 329406 349734 365631 383042 417864 439208 466312 487508 492807 516274 539741 563208 574563 657076 658812 699468 731262 766084 774411 975016 985614 1032548 1079482 1149126 1314152 1317624 1340647 1398936 1462524 1532168 1548822 1619223 1806959 1971228 2065096 2158964 2298252 2681294 2925048 3097644 3238446 3613918 3778187 3942456 4021941 4317928 4596504 5362588 5420877 5937151 6195288 6476892 7227836 7556374 8043882 10725176 10841754 11334561 11874302 12953784 14455672 15112748 16087764 17811453 21683508 22669122 23748604 30225496 32175528 35622906 41560057 43367016 45338244 47497208 71245812 83120114 90676488 124680171 142491624 166240228 249360342 332480456 498720684 997441368
- Sum of all divisors σ(n): 3353149440
- Sum of proper divisors (its aliquot sum) s(n): 2355708072
- 997441368 is an abundant number, because the sum of its proper divisors (2355708072) is greater than itself. Its abundance is 1358266704
Bases of 997441368
- Binary: 1110110111001110111111010110002
- Hexadecimal: 0x3B73BF58
- Base-36: GHUMOO
Squares and roots of 997441368
- 997441368 squared (9974413682) is 994889282597711424
- 997441368 cubed (9974413683) is 992343727042799876423788032
-
The
square root of 997441368 is 31582.2951667545 -
The
cube root of 997441368 is 999.1463942311
Scales and comparisons
How big is 997441368?- 997,441,368 seconds is equal to 31 years, 37 weeks, 1 day, 11 hours, 2 minutes, 48 seconds.
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To count from 1 to 997,441,368 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 997441368 cubic inches would be around 83.3 feet tall.
Recreational maths with 997441368
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