993472128
993,472,128 is an even composite number composed of five prime numbers multiplied together.
993472128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 993472128:
27 × 34 × 11 × 31 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 31 × 281)See below for interesting mathematical facts about the number 993472128 from the Numbermatics database.
Names of 993472128
- Cardinal: 993472128 can be written as Nine hundred ninety-three million, four hundred seventy-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.93472128 × 108
Factors of 993472128
Divisors of 993472128
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 81 88 93 96 99 108 124 128 132 144 162 176 186 192 198 216 248 264 279 281 288 297 324 341 352 372 384 396 432 496 528 558 562 576 594 648 682 704 744 792 837 843 864 891 992 1023 1056 1116 1124 1152 1188 1296 1364 1408 1488 1584 1674 1686 1728 1782 1984 2046 2112 2232 2248 2376 2511 2529 2592 2728 2976 3069 3091 3168 3348 3372 3456 3564 3968 4092 4224 4464 4496 4752 5022 5058 5184 5456 5952 6138 6182 6336 6696 6744 7128 7587 8184 8711 8928 8992 9207 9273 9504 10044 10116 10368 10912 11904 12276 12364 12672 13392 13488 14256 15174 16368 17422 17856 17984 18414 18546 19008 20088 20232 21824 22761 24552 24728 26133 26784 26976 27621 27819 28512 30348 32736 34844 35712 35968 36828 37092 38016 40176 40464 43648 45522 49104 49456 52266 53568 53952 55242 55638 57024 60696 65472 69688 73656 74184 78399 80352 80928 83457 91044 95821 98208 98912 104532 107136 107904 110484 111276 114048 121392 130944 139376 147312 148368 156798 160704 161856 166914 182088 191642 196416 197824 209064 220968 222552 235197 242784 250371 278752 287463 294624 296736 313596 321408 323712 333828 364176 383284 392832 395648 418128 441936 445104 470394 485568 500742 557504 574926 589248 593472 627192 667656 705591 728352 766568 836256 862389 883872 890208 940788 971136 1001484 1115008 1149852 1178496 1186944 1254384 1335312 1411182 1456704 1533136 1672512 1724778 1767744 1780416 1881576 2002968 2299704 2508768 2587167 2670624 2822364 2913408 3066272 3345024 3449556 3535488 3560832 3763152 4005936 4599408 5017536 5174334 5341248 5644728 6132544 6899112 7526304 7761501 8011872 9198816 10035072 10348668 10682496 11289456 12265088 13798224 15052608 15523002 16023744 18397632 20697336 22578912 27596448 30105216 31046004 32047488 36795264 41394672 45157824 55192896 62092008 82789344 90315648 110385792 124184016 165578688 248368032 331157376 496736064 993472128
- Sum of all divisors σ(n): 3341226240
- Sum of proper divisors (its aliquot sum) s(n): 2347754112
- 993472128 is an abundant number, because the sum of its proper divisors (2347754112) is greater than itself. Its abundance is 1354281984
Bases of 993472128
- Binary: 1110110011011100101110100000002
- Hexadecimal: 0x3B372E80
- Base-36: GFHK00
Squares and roots of 993472128
- 993472128 squared (9934721282) is 986986869112848384
- 993472128 cubed (9934721283) is 980543945165598956193841152
-
The
square root of 993472128 is 31519.3928875541 -
The
cube root of 993472128 is 997.8192906301
Scales and comparisons
How big is 993472128?- 993,472,128 seconds is equal to 31 years, 30 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 993,472,128 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 993472128 cubic inches would be around 83.2 feet tall.
Recreational maths with 993472128
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