642004668
642,004,668 is an even composite number composed of six prime numbers multiplied together.
642004668 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 642004668:
22 × 32 × 29 × 31 × 83 × 239
(2 × 2 × 3 × 3 × 29 × 31 × 83 × 239)See below for interesting mathematical facts about the number 642004668 from the Numbermatics database.
Names of 642004668
- Cardinal: 642004668 can be written as Six hundred forty-two million, four thousand, six hundred sixty-eight.
Scientific notation
- Scientific notation: 6.42004668 × 108
Factors of 642004668
Divisors of 642004668
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 9 12 18 29 31 36 58 62 83 87 93 116 124 166 174 186 239 249 261 279 332 348 372 478 498 522 558 717 747 899 956 996 1044 1116 1434 1494 1798 2151 2407 2573 2697 2868 2988 3596 4302 4814 5146 5394 6931 7221 7409 7719 8091 8604 9628 10292 10788 13862 14442 14818 15438 16182 19837 20793 21663 22227 23157 27724 28884 29636 30876 32364 39674 41586 43326 44454 46314 59511 62379 66681 74617 79348 83172 86652 88908 92628 119022 124758 133362 149234 178533 214861 223851 238044 249516 266724 298468 357066 429722 447702 575273 614947 644583 671553 714132 859444 895404 1150546 1229894 1289166 1343106 1725819 1844841 1933749 2301092 2459788 2578332 2686212 3451638 3689682 3867498 5177457 5534523 6903276 7379364 7734996 10354914 11069046 17833463 20709828 22138092 35666926 53500389 71333852 107000778 160501167 214001556 321002334 642004668
- Sum of all divisors σ(n): 1761177600
- Sum of proper divisors (its aliquot sum) s(n): 1119172932
- 642004668 is an abundant number, because the sum of its proper divisors (1119172932) is greater than itself. Its abundance is 477168264
Bases of 642004668
- Binary: 1001100100010000110110101111002
- Hexadecimal: 0x264436BC
- Base-36: AM8DZ0
Squares and roots of 642004668
- 642004668 squared (6420046682) is 412169993733790224
- 642004668 cubed (6420046683) is 264615059986624073140765632
-
The
square root of 642004668 is 25337.8110341047 -
The
cube root of 642004668 is 862.6727144981
Scales and comparisons
How big is 642004668?- 642,004,668 seconds is equal to 20 years, 21 weeks, 3 days, 14 hours, 37 minutes, 48 seconds.
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To count from 1 to 642,004,668 would take you about thirty 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 642004668 cubic inches would be around 71.9 feet tall.
Recreational maths with 642004668
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