133538328
133,538,328 is an even composite number composed of six prime numbers multiplied together.
133538328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 133538328:
23 × 33 × 72 × 11 × 31 × 37
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 31 × 37)See below for interesting mathematical facts about the number 133538328 from the Numbermatics database.
Names of 133538328
- Cardinal: 133538328 can be written as One hundred thirty-three million, five hundred thirty-eight thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.33538328 × 108
Factors of 133538328
Divisors of 133538328
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 31 33 36 37 42 44 49 54 56 62 63 66 72 74 77 84 88 93 98 99 108 111 124 126 132 147 148 154 168 186 189 196 198 216 217 222 231 248 252 259 264 279 294 296 297 308 333 341 372 378 392 396 407 434 441 444 462 504 518 539 558 588 594 616 651 666 682 693 744 756 777 792 814 837 868 882 888 924 999 1023 1036 1078 1116 1147 1176 1188 1221 1302 1323 1332 1364 1386 1512 1519 1554 1617 1628 1674 1736 1764 1813 1848 1953 1998 2046 2072 2079 2156 2232 2294 2331 2376 2387 2442 2604 2646 2664 2728 2772 2849 3038 3069 3108 3234 3256 3348 3441 3528 3626 3663 3906 3996 4092 4158 4312 4557 4588 4662 4774 4851 4884 5208 5292 5439 5544 5698 5859 6076 6138 6216 6468 6696 6882 6993 7161 7252 7326 7812 7992 8029 8184 8316 8547 9114 9176 9207 9324 9548 9702 9768 10323 10584 10878 10989 11396 11718 12152 12276 12617 12936 13671 13764 13986 14322 14504 14553 14652 15624 16058 16317 16632 16709 17094 18228 18414 18648 19096 19404 19943 20646 21483 21756 21978 22792 23436 24087 24552 25234 25641 27342 27528 27972 28644 29106 29304 30969 32116 32634 33418 34188 36456 36828 37851 38808 39886 41013 41292 42966 43512 43956 46872 48174 48951 50127 50468 51282 54684 55944 56203 57288 58212 59829 61938 64232 64449 65268 66836 68376 72261 73656 75702 76923 79772 82026 82584 85932 87912 88319 96348 97902 100254 100936 102564 109368 112406 113553 116424 119658 123876 128898 130536 133672 144522 150381 151404 153846 159544 164052 168609 171864 176638 179487 192696 195804 200508 205128 216783 224812 227106 239316 247752 257796 264957 289044 300762 302808 307692 328104 337218 340659 353276 358974 391608 401016 433566 449624 451143 454212 478632 505827 515592 529914 538461 578088 601524 615384 618233 674436 681318 706552 717948 794871 867132 902286 908424 1011654 1059828 1076922 1203048 1236466 1348872 1362636 1435896 1517481 1589742 1734264 1804572 1854699 2023308 2119656 2153844 2384613 2472932 2725272 3034962 3179484 3609144 3709398 4046616 4307688 4769226 4945864 5564097 6069924 6358968 7418796 9538452 11128194 12139848 14837592 16692291 19076904 22256388 33384582 44512776 66769164 133538328
- Sum of all divisors σ(n): 499046400
- Sum of proper divisors (its aliquot sum) s(n): 365508072
- 133538328 is an abundant number, because the sum of its proper divisors (365508072) is greater than itself. Its abundance is 231969744
Bases of 133538328
- Binary: 1111111010110100010000110002
- Hexadecimal: 0x7F5A218
- Base-36: 27I6U0
Squares and roots of 133538328
- 133538328 squared (1335383282) is 17832485045035584
- 133538328 cubed (1335383283) is 2381320236999056587863552
-
The
square root of 133538328 is 11555.8785040343 -
The
cube root of 133538328 is 511.1346364443
Scales and comparisons
How big is 133538328?- 133,538,328 seconds is equal to 4 years, 12 weeks, 5 days, 13 hours, 58 minutes, 48 seconds.
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To count from 1 to 133,538,328 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 133538328 cubic inches would be around 42.6 feet tall.
Recreational maths with 133538328
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