420134688
420,134,688 is an even composite number composed of four prime numbers multiplied together.
420134688 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 420134688:
25 × 34 × 192 × 449
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 449)See below for interesting mathematical facts about the number 420134688 from the Numbermatics database.
Names of 420134688
- Cardinal: 420134688 can be written as Four hundred twenty million, one hundred thirty-four thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.20134688 × 108
Factors of 420134688
Divisors of 420134688
- Number of divisors d(n): 180
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 361 432 449 456 513 608 648 684 722 864 898 912 1026 1083 1296 1347 1368 1444 1539 1796 1824 2052 2166 2592 2694 2736 2888 3078 3249 3592 4041 4104 4332 5388 5472 5776 6156 6498 7184 8082 8208 8531 8664 9747 10776 11552 12123 12312 12996 14368 16164 16416 17062 17328 19494 21552 24246 24624 25593 25992 29241 32328 34124 34656 36369 38988 43104 48492 49248 51186 51984 58482 64656 68248 72738 76779 77976 96984 102372 103968 116964 129312 136496 145476 153558 155952 162089 193968 204744 230337 233928 272992 290952 307116 311904 324178 387936 409488 460674 467856 486267 581904 614232 648356 691011 818976 921348 935712 972534 1163808 1228464 1296712 1382022 1458801 1842696 1945068 2456928 2593424 2764044 2917602 3685392 3890136 4376403 5186848 5528088 5835204 7370784 7780272 8752806 11056176 11670408 13129209 15560544 17505612 22112352 23340816 26258418 35011224 46681632 52516836 70022448 105033672 140044896 210067344 420134688
- Sum of all divisors σ(n): 1306963350
- Sum of proper divisors (its aliquot sum) s(n): 886828662
- 420134688 is an abundant number, because the sum of its proper divisors (886828662) is greater than itself. Its abundance is 466693974
Bases of 420134688
- Binary: 110010000101010111111001000002
- Hexadecimal: 0x190ABF20
- Base-36: 6Y4Y00
Squares and roots of 420134688
- 420134688 squared (4201346882) is 176513156060857344
- 420134688 cubed (4201346883) is 74159299749523609233948672
-
The
square root of 420134688 is 20497.1873192395 -
The
cube root of 420134688 is 748.9672826459
Scales and comparisons
How big is 420134688?- 420,134,688 seconds is equal to 13 years, 18 weeks, 4 days, 16 hours, 4 minutes, 48 seconds.
-
To count from 1 to 420,134,688 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 420134688 cubic inches would be around 62.4 feet tall.
Recreational maths with 420134688
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