42252210
42,252,210 is an even composite number composed of seven prime numbers multiplied together.
42252210 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 42252210:
2 × 32 × 5 × 72 × 11 × 13 × 67
(2 × 3 × 3 × 5 × 7 × 7 × 11 × 13 × 67)See below for interesting mathematical facts about the number 42252210 from the Numbermatics database.
Names of 42252210
- Cardinal: 42252210 can be written as Forty-two million, two hundred fifty-two thousand, two hundred ten.
Scientific notation
- Scientific notation: 4.225221 × 107
Factors of 42252210
Divisors of 42252210
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 30 33 35 39 42 45 49 55 63 65 66 67 70 77 78 90 91 98 99 105 110 117 126 130 134 143 147 154 165 182 195 198 201 210 231 234 245 273 286 294 315 330 335 385 390 402 429 441 455 462 469 490 495 539 546 585 603 630 637 670 693 715 735 737 770 819 858 871 882 910 938 990 1001 1005 1078 1155 1170 1206 1274 1287 1365 1386 1407 1430 1470 1474 1617 1638 1742 1911 2002 2010 2145 2205 2211 2310 2345 2574 2613 2695 2730 2814 3003 3015 3185 3234 3283 3465 3685 3822 4095 4221 4290 4355 4410 4422 4690 4851 5005 5159 5226 5390 5733 6006 6030 6097 6370 6435 6566 6633 6930 7007 7035 7370 7839 8085 8190 8442 8710 9009 9555 9581 9702 9849 10010 10318 11055 11466 12194 12870 13065 13266 14014 14070 15015 15477 15678 16170 16415 18018 18291 19110 19162 19698 21021 21105 22110 24255 25795 26130 28665 28743 29547 30030 30485 30954 32830 33165 35035 36113 36582 39195 42042 42210 42679 45045 46431 47905 48510 49245 51590 54873 57330 57486 59094 60970 63063 66330 67067 70070 72226 77385 78390 85358 86229 90090 91455 92862 95810 98490 105105 108339 109746 126126 128037 134134 143715 147735 154770 172458 180565 182910 201201 210210 213395 216678 232155 256074 274365 287430 295470 315315 325017 335335 361130 384111 402402 426790 431145 464310 469469 541695 548730 603603 630630 640185 650034 670670 768222 862290 938938 1006005 1083390 1207206 1280370 1408407 1625085 1920555 2012010 2347345 2816814 3018015 3250170 3841110 4225221 4694690 6036030 7042035 8450442 14084070 21126105 42252210
- Sum of all divisors σ(n): 152373312
- Sum of proper divisors (its aliquot sum) s(n): 110121102
- 42252210 is an abundant number, because the sum of its proper divisors (110121102) is greater than itself. Its abundance is 67868892
Bases of 42252210
- Binary: 101000010010110111101100102
- Hexadecimal: 0x284B7B2
- Base-36: P5M0I
Squares and roots of 42252210
- 42252210 squared (422522102) is 1785249249884100
- 42252210 cubed (422522103) is 75430726208445468861000
-
The
square root of 42252210 is 6500.1699977769 -
The
cube root of 42252210 is 348.2970610543
Scales and comparisons
How big is 42252210?- 42,252,210 seconds is equal to 1 year, 17 weeks, 6 days, 43 minutes, 30 seconds.
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To count from 1 to 42,252,210 would take you about two 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 42252210 cubic inches would be around 29 feet tall.
Recreational maths with 42252210
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