133398144
133,398,144 is an even composite number composed of four prime numbers multiplied together.
133398144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 133398144:
27 × 33 × 113 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 29)See below for interesting mathematical facts about the number 133398144 from the Numbermatics database.
Names of 133398144
- Cardinal: 133398144 can be written as One hundred thirty-three million, three hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.33398144 × 108
Factors of 133398144
Divisors of 133398144
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 32 33 36 44 48 54 58 64 66 72 87 88 96 99 108 116 121 128 132 144 174 176 192 198 216 232 242 261 264 288 297 319 348 352 363 384 396 432 464 484 522 528 576 594 638 696 704 726 783 792 864 928 957 968 1044 1056 1089 1152 1188 1276 1331 1392 1408 1452 1566 1584 1728 1856 1914 1936 2088 2112 2178 2376 2552 2662 2784 2871 2904 3132 3168 3267 3456 3509 3712 3828 3872 3993 4176 4224 4356 4752 5104 5324 5568 5742 5808 6264 6336 6534 7018 7656 7744 7986 8352 8613 8712 9504 10208 10527 10648 11136 11484 11616 11979 12528 12672 13068 14036 15312 15488 15972 16704 17226 17424 19008 20416 21054 21296 22968 23232 23958 25056 26136 28072 30624 31581 31944 33408 34452 34848 35937 38016 38599 40832 42108 42592 45936 46464 47916 50112 52272 56144 61248 63162 63888 68904 69696 71874 77198 84216 85184 91872 94743 95832 100224 104544 112288 115797 122496 126324 127776 137808 139392 143748 154396 168432 170368 183744 189486 191664 209088 224576 231594 252648 255552 275616 287496 308792 336864 347391 367488 378972 383328 418176 449152 463188 505296 511104 551232 574992 617584 673728 694782 757944 766656 926376 1010592 1042173 1102464 1149984 1235168 1347456 1389564 1515888 1533312 1852752 2021184 2084346 2299968 2470336 2779128 3031776 3705504 4042368 4168692 4599936 4940672 5558256 6063552 7411008 8337384 11116512 12127104 14822016 16674768 22233024 33349536 44466048 66699072 133398144
- Sum of all divisors σ(n): 447984000
- Sum of proper divisors (its aliquot sum) s(n): 314585856
- 133398144 is an abundant number, because the sum of its proper divisors (314585856) is greater than itself. Its abundance is 181187712
Bases of 133398144
- Binary: 1111111001101111110100000002
- Hexadecimal: 0x7F37E80
- Base-36: 27F6O0
Squares and roots of 133398144
- 133398144 squared (1333981442) is 17795064822644736
- 133398144 cubed (1333981443) is 2373828619700496953769984
-
The
square root of 133398144 is 11549.8114270321 -
The
cube root of 133398144 is 510.9557165629
Scales and comparisons
How big is 133398144?- 133,398,144 seconds is equal to 4 years, 12 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 133,398,144 would take you about six 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 133398144 cubic inches would be around 42.6 feet tall.
Recreational maths with 133398144
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