420073128
420,073,128 is an even composite number composed of five prime numbers multiplied together.
420073128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 420073128:
23 × 36 × 17 × 19 × 223
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 19 × 223)See below for interesting mathematical facts about the number 420073128 from the Numbermatics database.
Names of 420073128
- Cardinal: 420073128 can be written as Four hundred twenty million, seventy-three thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.20073128 × 108
Factors of 420073128
Divisors of 420073128
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 223 228 243 306 323 324 342 408 446 456 459 486 513 612 646 648 669 684 729 892 918 969 972 1026 1224 1292 1338 1368 1377 1458 1539 1784 1836 1938 1944 2007 2052 2584 2676 2754 2907 2916 3078 3672 3791 3876 4014 4104 4131 4237 4617 5352 5508 5814 5832 6021 6156 7582 7752 8028 8262 8474 8721 9234 11016 11373 11628 12042 12312 12393 12711 13851 15164 16056 16524 16948 17442 18063 18468 22746 23256 24084 24786 25422 26163 27702 30328 33048 33896 34119 34884 36126 36936 38133 45492 48168 49572 50844 52326 54189 55404 68238 69768 72029 72252 76266 78489 90984 99144 101688 102357 104652 108378 110808 114399 136476 144058 144504 152532 156978 162567 204714 209304 216087 216756 228798 235467 272952 288116 305064 307071 313956 325134 343197 409428 432174 433512 457596 470934 576232 614142 627912 648261 650268 686394 818856 864348 915192 921213 941868 1029591 1228284 1296522 1300536 1372788 1728696 1842426 1883736 1944783 2059182 2456568 2593044 2745576 2763639 3088773 3684852 3889566 4118364 5186088 5527278 5834349 6177546 7369704 7779132 8236728 11054556 11668698 12355092 15558264 17503047 22109112 23337396 24710184 35006094 46674792 52509141 70012188 105018282 140024376 210036564 420073128
- Sum of all divisors σ(n): 1322092800
- Sum of proper divisors (its aliquot sum) s(n): 902019672
- 420073128 is an abundant number, because the sum of its proper divisors (902019672) is greater than itself. Its abundance is 481946544
Bases of 420073128
- Binary: 110010000100111001110101010002
- Hexadecimal: 0x1909CEA8
- Base-36: 6Y3MI0
Squares and roots of 420073128
- 420073128 squared (4200731282) is 176461432867704384
- 420073128 cubed (4200731283) is 74126706076098590766193152
-
The
square root of 420073128 is 20495.6855947783 -
The
cube root of 420073128 is 748.9307001885
Scales and comparisons
How big is 420073128?- 420,073,128 seconds is equal to 13 years, 18 weeks, 3 days, 22 hours, 58 minutes, 48 seconds.
-
To count from 1 to 420,073,128 would take you about twenty 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 420073128 cubic inches would be around 62.4 feet tall.
Recreational maths with 420073128
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