642116020
642,116,020 is an even composite number composed of seven prime numbers multiplied together.
What does the number 642116020 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 192 divisors.
642116020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 642116020:
22 × 5 × 7 × 13 × 19 × 31 × 599
(2 × 2 × 5 × 7 × 13 × 19 × 31 × 599)See below for interesting mathematical facts about the number 642116020 from the Numbermatics database.
Names of 642116020
- Cardinal: 642116020 can be written as Six hundred forty-two million, one hundred sixteen thousand and twenty.
Scientific notation
- Scientific notation: 6.4211602 × 108
Factors of 642116020
Divisors of 642116020
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 10 13 14 19 20 26 28 31 35 38 52 62 65 70 76 91 95 124 130 133 140 155 182 190 217 247 260 266 310 364 380 403 434 455 494 532 589 599 620 665 806 868 910 988 1085 1178 1198 1235 1330 1612 1729 1820 2015 2170 2356 2396 2470 2660 2821 2945 2995 3458 4030 4123 4193 4340 4940 5642 5890 5990 6916 7657 7787 8060 8246 8386 8645 11284 11381 11780 11980 14105 15314 15574 16492 16772 17290 18569 20615 20965 22762 28210 30628 31148 34580 37138 38285 38935 41230 41930 45524 53599 54509 56420 56905 74276 76570 77870 79667 82460 83860 92845 107198 109018 113810 129983 147953 153140 155740 159334 185690 214396 218036 227620 241397 259966 267995 272545 295906 318668 352811 371380 398335 482794 519932 535990 545090 591812 649915 705622 739765 796670 965588 1035671 1071980 1090180 1206985 1299830 1411244 1479530 1593340 1689779 1764055 2071342 2413970 2469677 2599660 2959060 3379558 3528110 4142684 4586543 4827940 4939354 5178355 6759116 7056220 8448895 9173086 9878708 10356710 12348385 16897790 18346172 20713420 22932715 24696770 32105801 33795580 45865430 49393540 64211602 91730860 128423204 160529005 321058010 642116020
- Sum of all divisors σ(n): 1806336000
- Sum of proper divisors (its aliquot sum) s(n): 1164219980
- 642116020 is an abundant number, because the sum of its proper divisors (1164219980) is greater than itself. Its abundance is 522103960
Bases of 642116020
- Binary: 1001100100010111101001101101002
- Hexadecimal: 0x2645E9B4
- Base-36: AMARW4
Squares and roots of 642116020
- 642116020 squared (6421160202) is 412312983140640400
- 642116020 cubed (6421160203) is 264752771728595113899208000
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The
square root of 642116020 is 25340.0082872915 -
The
cube root of 642116020 is 862.7225868143
Scales and comparisons
How big is 642116020?- 642,116,020 seconds is equal to 20 years, 21 weeks, 4 days, 21 hours, 33 minutes, 40 seconds.
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To count from 1 to 642,116,020 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 642116020 cubic inches would be around 71.9 feet tall.
Recreational maths with 642116020
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