134304768
134,304,768 is an even composite number composed of five prime numbers multiplied together.
134304768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 134304768:
210 × 32 × 13 × 19 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 59)See below for interesting mathematical facts about the number 134304768 from the Numbermatics database.
Names of 134304768
- Cardinal: 134304768 can be written as One hundred thirty-four million, three hundred four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.34304768 × 108
Factors of 134304768
Divisors of 134304768
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 59 64 72 76 78 96 104 114 117 118 128 144 152 156 171 177 192 208 228 234 236 247 256 288 304 312 342 354 384 416 456 468 472 494 512 531 576 608 624 684 708 741 767 768 832 912 936 944 988 1024 1062 1121 1152 1216 1248 1368 1416 1482 1534 1536 1664 1824 1872 1888 1976 2124 2223 2242 2301 2304 2432 2496 2736 2832 2964 3068 3072 3328 3363 3648 3744 3776 3952 4248 4446 4484 4602 4608 4864 4992 5472 5664 5928 6136 6656 6726 6903 7296 7488 7552 7904 8496 8892 8968 9204 9216 9728 9984 10089 10944 11328 11856 12272 13312 13452 13806 14573 14592 14976 15104 15808 16992 17784 17936 18408 19456 19968 20178 21888 22656 23712 24544 26904 27612 29146 29184 29952 30208 31616 33984 35568 35872 36816 39936 40356 43719 43776 45312 47424 49088 53808 55224 58292 58368 59904 60416 63232 67968 71136 71744 73632 80712 87438 87552 90624 94848 98176 107616 110448 116584 119808 126464 131157 135936 142272 143488 147264 161424 174876 175104 181248 189696 196352 215232 220896 233168 252928 262314 271872 284544 286976 294528 322848 349752 379392 392704 430464 441792 466336 524628 543744 569088 573952 589056 645696 699504 758784 785408 860928 883584 932672 1049256 1138176 1147904 1178112 1291392 1399008 1721856 1767168 1865344 2098512 2276352 2356224 2582784 2798016 3443712 3534336 3730688 4197024 5165568 5596032 7068672 7461376 8394048 10331136 11192064 14922752 16788096 22384128 33576192 44768256 67152384 134304768
- Sum of all divisors σ(n): 447064800
- Sum of proper divisors (its aliquot sum) s(n): 312760032
- 134304768 is an abundant number, because the sum of its proper divisors (312760032) is greater than itself. Its abundance is 178455264
Bases of 134304768
- Binary: 10000000000101010100000000002
- Hexadecimal: 0x8015400
- Base-36: 27YM80
Squares and roots of 134304768
- 134304768 squared (1343047682) is 18037770707533824
- 134304768 cubed (1343047683) is 2422558610112526084472832
-
The
square root of 134304768 is 11588.9933989109 -
The
cube root of 134304768 is 512.1106531673
Scales and comparisons
How big is 134304768?- 134,304,768 seconds is equal to 4 years, 14 weeks, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 134,304,768 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 134304768 cubic inches would be around 42.7 feet tall.
Recreational maths with 134304768
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