990063648
990,063,648 is an even composite number composed of five prime numbers multiplied together.
990063648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990063648:
25 × 37 × 7 × 43 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 43 × 47)See below for interesting mathematical facts about the number 990063648 from the Numbermatics database.
Names of 990063648
- Cardinal: 990063648 can be written as Nine hundred ninety million, sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 9.90063648 × 108
Factors of 990063648
Divisors of 990063648
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 47 48 54 56 63 72 81 84 86 94 96 108 112 126 129 141 144 162 168 172 188 189 216 224 243 252 258 282 288 301 324 329 336 344 376 378 387 423 432 486 504 516 564 567 602 648 658 672 688 729 752 756 774 846 864 903 972 987 1008 1032 1128 1134 1161 1204 1269 1296 1316 1376 1458 1504 1512 1548 1692 1701 1806 1944 1974 2016 2021 2064 2187 2256 2268 2322 2408 2538 2592 2632 2709 2916 2961 3024 3096 3384 3402 3483 3612 3807 3888 3948 4042 4128 4374 4512 4536 4644 4816 5076 5103 5264 5418 5832 5922 6048 6063 6192 6768 6804 6966 7224 7614 7776 7896 8084 8127 8748 8883 9072 9288 9632 10152 10206 10449 10528 10836 11421 11664 11844 12126 12384 13536 13608 13932 14147 14448 15228 15309 15792 16168 16254 17496 17766 18144 18189 18576 20304 20412 20898 21672 22842 23328 23688 24252 24381 26649 27216 27864 28294 28896 30456 30618 31347 31584 32336 32508 34263 34992 35532 36378 37152 40608 40824 41796 42441 43344 45684 47376 48504 48762 53298 54432 54567 55728 56588 60912 61236 62694 64672 65016 68526 69984 71064 72756 73143 79947 81648 83592 84882 86688 91368 94041 94752 97008 97524 102789 106596 109134 111456 113176 121824 122472 125388 127323 130032 137052 142128 145512 146286 159894 163296 163701 167184 169764 182736 188082 194016 195048 205578 213192 218268 219429 226352 239841 244944 250776 254646 260064 274104 284256 291024 292572 319788 327402 334368 339528 365472 376164 381969 390096 411156 426384 436536 438858 452704 479682 489888 491103 501552 509292 548208 582048 585144 639576 654804 658287 679056 719523 752328 763938 780192 822312 852768 873072 877716 959364 982206 1003104 1018584 1096416 1145907 1170288 1279152 1309608 1316574 1358112 1439046 1473309 1504656 1527876 1644624 1746144 1755432 1918728 1964412 2037168 2291814 2340576 2558304 2619216 2633148 2878092 2946618 3009312 3055752 3289248 3437721 3510864 3837456 3928824 4074336 4419927 4583628 5238432 5266296 5756184 5893236 6111504 6875442 7021728 7674912 7857648 8839854 9167256 10313163 10532592 11512368 11786472 12223008 13750884 15715296 17679708 18334512 20626326 21065184 23024736 23572944 27501768 30939489 35359416 36669024 41252652 47145888 55003536 61878978 70718832 82505304 110007072 123757956 141437664 165010608 247515912 330021216 495031824 990063648
- Sum of all divisors σ(n): 3491389440
- Sum of proper divisors (its aliquot sum) s(n): 2501325792
- 990063648 is an abundant number, because the sum of its proper divisors (2501325792) is greater than itself. Its abundance is 1511262144
Bases of 990063648
- Binary: 1110110000001100101100001000002
- Hexadecimal: 0x3B032C20
- Base-36: GDGI00
Squares and roots of 990063648
- 990063648 squared (9900636482) is 980226027091067904
- 990063648 cubed (9900636483) is 970486156246329517249953792
-
The
square root of 990063648 is 31465.2768619633 -
The
cube root of 990063648 is 996.6768515841
Scales and comparisons
How big is 990063648?- 990,063,648 seconds is equal to 31 years, 25 weeks, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 990,063,648 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 990063648 cubic inches would be around 83.1 feet tall.
Recreational maths with 990063648
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