133824768
133,824,768 is an even composite number composed of six prime numbers multiplied together.
133824768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 133824768:
28 × 3 × 7 × 11 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 31 × 73)See below for interesting mathematical facts about the number 133824768 from the Numbermatics database.
Names of 133824768
- Cardinal: 133824768 can be written as One hundred thirty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.33824768 × 108
Factors of 133824768
Divisors of 133824768
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 44 48 56 62 64 66 73 77 84 88 93 96 112 124 128 132 146 154 168 176 186 192 217 219 224 231 248 256 264 292 308 336 341 352 372 384 434 438 448 462 496 511 528 584 616 651 672 682 704 744 768 803 868 876 896 924 992 1022 1023 1056 1168 1232 1302 1344 1364 1408 1488 1533 1606 1736 1752 1792 1848 1984 2044 2046 2112 2263 2336 2387 2409 2464 2604 2688 2728 2816 2976 3066 3212 3472 3504 3696 3968 4088 4092 4224 4526 4672 4774 4818 4928 5208 5376 5456 5621 5952 6132 6424 6789 6944 7008 7161 7392 7936 8176 8184 8448 9052 9344 9548 9636 9856 10416 10912 11242 11904 12264 12848 13578 13888 14016 14322 14784 15841 16352 16368 16863 18104 18688 19096 19272 19712 20832 21824 22484 23808 24528 24893 25696 27156 27776 28032 28644 29568 31682 32704 32736 33726 36208 38192 38544 41664 43648 44968 47523 49056 49786 51392 54312 55552 56064 57288 59136 63364 65408 65472 67452 72416 74679 76384 77088 83328 87296 89936 95046 98112 99572 102784 108624 114576 126728 130816 130944 134904 144832 149358 152768 154176 166656 174251 179872 190092 196224 199144 205568 217248 229152 253456 261888 269808 289664 298716 305536 308352 348502 359744 380184 392448 398288 434496 458304 506912 522753 539616 579328 597432 611072 616704 697004 719488 760368 796576 868992 916608 1013824 1045506 1079232 1194864 1394008 1438976 1520736 1593152 1737984 1833216 2027648 2091012 2158464 2389728 2788016 3041472 3186304 4055296 4182024 4316928 4779456 5576032 6082944 6372608 8364048 9558912 11152064 12165888 16728096 19117824 22304128 33456192 44608256 66912384 133824768
- Sum of all divisors σ(n): 464658432
- Sum of proper divisors (its aliquot sum) s(n): 330833664
- 133824768 is an abundant number, because the sum of its proper divisors (330833664) is greater than itself. Its abundance is 197008896
Bases of 133824768
- Binary: 1111111101000000001000000002
- Hexadecimal: 0x7FA0100
- Base-36: 27OBUO
Squares and roots of 133824768
- 133824768 squared (1338247682) is 17909068530253824
- 133824768 cubed (1338247683) is 2396676941157318977912832
-
The
square root of 133824768 is 11568.2655571179 -
The
cube root of 133824768 is 511.4998370805
Scales and comparisons
How big is 133824768?- 133,824,768 seconds is equal to 4 years, 13 weeks, 1 day, 21 hours, 32 minutes, 48 seconds.
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To count from 1 to 133,824,768 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 133824768 cubic inches would be around 42.6 feet tall.
Recreational maths with 133824768
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