213402420
213,402,420 is an even composite number composed of seven prime numbers multiplied together.
What does the number 213402420 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
213402420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 213402420:
22 × 32 × 5 × 7 × 11 × 89 × 173
(2 × 2 × 3 × 3 × 5 × 7 × 11 × 89 × 173)See below for interesting mathematical facts about the number 213402420 from the Numbermatics database.
Names of 213402420
- Cardinal: 213402420 can be written as Two hundred thirteen million, four hundred two thousand, four hundred twenty.
Scientific notation
- Scientific notation: 2.1340242 × 108
Factors of 213402420
Divisors of 213402420
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 89 90 99 105 110 126 132 140 154 165 173 178 180 198 210 220 231 252 267 308 315 330 346 356 385 396 420 445 462 495 519 534 623 630 660 692 693 770 801 865 890 924 979 990 1038 1068 1155 1211 1246 1260 1335 1386 1540 1557 1602 1730 1780 1869 1903 1958 1980 2076 2310 2422 2492 2595 2670 2772 2937 3114 3115 3204 3460 3465 3633 3738 3806 3916 4005 4620 4844 4895 5190 5340 5607 5709 5874 6055 6228 6230 6853 6930 7266 7476 7612 7785 8010 8811 9345 9515 9790 10380 10899 11214 11418 11748 12110 12460 13321 13706 13860 14532 14685 15397 15570 16020 17127 17622 18165 18690 19030 19580 20559 21798 22428 22836 24220 26642 27412 28035 28545 29370 30794 31140 34254 34265 35244 36330 37380 38060 39963 41118 43596 44055 46191 53284 54495 56070 57090 58740 61588 61677 66605 68508 68530 72660 76985 79926 82236 85635 88110 92382 102795 107779 108990 112140 114180 119889 123354 133210 137060 138573 153970 159852 169367 171270 176220 184764 199815 205590 215558 217980 230955 239778 246708 266420 277146 307940 308385 323337 338734 342540 399630 411180 431116 461910 479556 508101 538895 554292 599445 616770 646674 677468 692865 799260 846835 923820 970011 1016202 1077790 1185569 1198890 1233540 1293348 1385730 1524303 1616685 1693670 1940022 2032404 2155580 2371138 2397780 2540505 2771460 3048606 3233370 3387340 3556707 3880044 4742276 4850055 5081010 5927845 6097212 6466740 7113414 7621515 9700110 10162020 10670121 11855690 14226828 15243030 17783535 19400220 21340242 23711380 30486060 35567070 42680484 53350605 71134140 106701210 213402420
- Sum of all divisors σ(n): 820834560
- Sum of proper divisors (its aliquot sum) s(n): 607432140
- 213402420 is an abundant number, because the sum of its proper divisors (607432140) is greater than itself. Its abundance is 394029720
Bases of 213402420
- Binary: 11001011100001000011001101002
- Hexadecimal: 0xCB84334
- Base-36: 3J1YD0
Squares and roots of 213402420
- 213402420 squared (2134024202) is 45540592861856400
- 213402420 cubed (2134024203) is 9718472724954881452488000
-
The
square root of 213402420 is 14608.2996957211 -
The
cube root of 213402420 is 597.5851270203
Scales and comparisons
How big is 213402420?- 213,402,420 seconds is equal to 6 years, 40 weeks, 5 days, 22 hours, 27 minutes.
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To count from 1 to 213,402,420 would take you about ten 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 213402420 cubic inches would be around 49.8 feet tall.
Recreational maths with 213402420
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