420124068
420,124,068 is an even composite number composed of six prime numbers multiplied together.
420124068 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 420124068:
22 × 32 × 7 × 13 × 257 × 499
(2 × 2 × 3 × 3 × 7 × 13 × 257 × 499)See below for interesting mathematical facts about the number 420124068 from the Numbermatics database.
Names of 420124068
- Cardinal: 420124068 can be written as Four hundred twenty million, one hundred twenty-four thousand and sixty-eight.
Scientific notation
- Scientific notation: 4.20124068 × 108
Factors of 420124068
Divisors of 420124068
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 257 273 364 468 499 514 546 771 819 998 1028 1092 1497 1542 1638 1799 1996 2313 2994 3084 3276 3341 3493 3598 4491 4626 5397 5988 6487 6682 6986 7196 8982 9252 10023 10479 10794 12974 13364 13972 16191 17964 19461 20046 20958 21588 23387 25948 30069 31437 32382 38922 40092 41916 45409 46774 58383 60138 62874 64764 70161 77844 90818 93548 116766 120276 125748 128243 136227 140322 181636 210483 233532 256486 272454 280644 384729 408681 420966 512972 544908 769458 817362 841932 897701 1154187 1538916 1634724 1667159 1795402 2308374 2693103 3334318 3590804 4616748 5001477 5386206 6668636 8079309 10002954 10772412 11670113 15004431 16158618 20005908 23340226 30008862 32317236 35010339 46680452 60017724 70020678 105031017 140041356 210062034 420124068
- Sum of all divisors σ(n): 1314768000
- Sum of proper divisors (its aliquot sum) s(n): 894643932
- 420124068 is an abundant number, because the sum of its proper divisors (894643932) is greater than itself. Its abundance is 474519864
Bases of 420124068
- Binary: 110010000101010010101101001002
- Hexadecimal: 0x190A95A4
- Base-36: 6Y4PT0
Squares and roots of 420124068
- 420124068 squared (4201240682) is 176504232512868624
- 420124068 cubed (4201240683) is 74153676182524228664442432
-
The
square root of 420124068 is 20496.9282576683 -
The
cube root of 420124068 is 748.9609718919
Scales and comparisons
How big is 420124068?- 420,124,068 seconds is equal to 13 years, 18 weeks, 4 days, 13 hours, 7 minutes, 48 seconds.
-
To count from 1 to 420,124,068 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 420124068 cubic inches would be around 62.4 feet tall.
Recreational maths with 420124068
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