997432128
997,432,128 is an even composite number composed of six prime numbers multiplied together.
997432128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 997432128:
26 × 32 × 7 × 11 × 43 × 523
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 43 × 523)See below for interesting mathematical facts about the number 997432128 from the Numbermatics database.
Names of 997432128
- Cardinal: 997432128 can be written as Nine hundred ninety-seven million, four hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.97432128 × 108
Factors of 997432128
Divisors of 997432128
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 43 44 48 56 63 64 66 72 77 84 86 88 96 99 112 126 129 132 144 154 168 172 176 192 198 224 231 252 258 264 288 301 308 336 344 352 387 396 448 462 473 504 516 523 528 576 602 616 672 688 693 704 774 792 903 924 946 1008 1032 1046 1056 1204 1232 1344 1376 1386 1419 1548 1569 1584 1806 1848 1892 2016 2064 2092 2112 2408 2464 2709 2752 2772 2838 3096 3138 3168 3311 3612 3661 3696 3784 4032 4128 4184 4257 4707 4816 4928 5418 5544 5676 5753 6192 6276 6336 6622 7224 7322 7392 7568 8256 8368 8514 9414 9632 9933 10836 10983 11088 11352 11506 12384 12552 13244 14448 14644 14784 15136 16736 17028 17259 18828 19264 19866 21672 21966 22176 22489 22704 23012 24768 25104 26488 28896 29288 29799 30272 32949 33472 34056 34518 37656 39732 40271 43344 43932 44352 44978 45408 46024 50208 51777 52976 57792 58576 59598 65898 67467 68112 69036 75312 79464 80542 86688 87864 89956 90816 92048 100416 103554 105952 117152 119196 120813 131796 134934 136224 138072 150624 157423 158928 161084 173376 175728 179912 184096 202401 207108 211904 234304 238392 241626 247379 263592 269868 272448 276144 301248 314846 317856 322168 351456 359824 362439 368192 404802 414216 472269 476784 483252 494758 527184 539736 552288 629692 635712 644336 702912 719648 724878 742137 809604 828432 944538 953568 966504 989516 1054368 1079472 1104576 1259384 1288672 1416807 1439296 1449756 1484274 1619208 1656864 1731653 1889076 1907136 1933008 1979032 2108736 2158944 2226411 2518768 2577344 2833614 2899512 2968548 3238416 3313728 3463306 3778152 3866016 3958064 4317888 4452822 5037536 5194959 5667228 5799024 5937096 6476832 6926612 7556304 7732032 7916128 8905644 10075072 10389918 11334456 11598048 11874192 12953664 13853224 15112608 15584877 15832256 17811288 20779836 22668912 23196096 23748384 27706448 30225216 31169754 35622576 41559672 45337824 47496768 55412896 62339508 71245152 83119344 90675648 110825792 124679016 142490304 166238688 249358032 332477376 498716064 997432128
- Sum of all divisors σ(n): 3654283776
- Sum of proper divisors (its aliquot sum) s(n): 2656851648
- 997432128 is an abundant number, because the sum of its proper divisors (2656851648) is greater than itself. Its abundance is 1659419520
Bases of 997432128
- Binary: 1110110111001110011011010000002
- Hexadecimal: 0x3B739B40
- Base-36: GHUFK0
Squares and roots of 997432128
- 997432128 squared (9974321282) is 994870849966608384
- 997432128 cubed (9974321283) is 992316148967362929395761152
-
The
square root of 997432128 is 31582.1488819237 -
The
cube root of 997432128 is 999.1433089567
Scales and comparisons
How big is 997432128?- 997,432,128 seconds is equal to 31 years, 37 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
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To count from 1 to 997,432,128 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 997432128 cubic inches would be around 83.3 feet tall.
Recreational maths with 997432128
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