42494760
42,494,760 is an even composite number composed of six prime numbers multiplied together.
42494760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42494760:
23 × 33 × 5 × 72 × 11 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 73)See below for interesting mathematical facts about the number 42494760 from the Numbermatics database.
Names of 42494760
- Cardinal: 42494760 can be written as Forty-two million, four hundred ninety-four thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.249476 × 107
Factors of 42494760
Divisors of 42494760
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 49 54 55 56 60 63 66 70 72 73 77 84 88 90 98 99 105 108 110 120 126 132 135 140 146 147 154 165 168 180 189 196 198 210 216 219 220 231 245 252 264 270 280 292 294 297 308 315 330 360 365 378 385 392 396 420 438 440 441 462 490 495 504 511 539 540 584 588 594 616 630 657 660 693 730 735 756 770 792 803 840 876 882 924 945 980 990 1022 1078 1080 1095 1155 1176 1188 1260 1314 1320 1323 1386 1460 1470 1485 1512 1533 1540 1606 1617 1752 1764 1848 1890 1960 1971 1980 2044 2079 2156 2190 2205 2310 2376 2409 2520 2555 2628 2646 2695 2772 2920 2940 2970 3066 3080 3212 3234 3285 3465 3528 3577 3780 3942 3960 4015 4088 4158 4312 4380 4410 4599 4620 4818 4851 5110 5256 5292 5390 5544 5621 5880 5940 6132 6424 6468 6570 6615 6930 7154 7227 7560 7665 7884 8030 8085 8316 8760 8820 9198 9240 9636 9702 9855 10220 10395 10584 10731 10780 11242 11880 12045 12264 12936 13140 13230 13797 13860 14308 14454 14553 15330 15768 16060 16170 16632 16863 17640 17885 18396 19272 19404 19710 20440 20790 21462 21560 21681 22484 22995 24090 24255 26280 26460 27594 27720 28105 28616 28908 29106 30660 32120 32193 32340 33726 35770 36135 36792 38808 39347 39420 41580 42924 43362 44968 45990 48180 48510 50589 52920 53655 55188 56210 57816 58212 61320 64386 64680 67452 68985 71540 72270 72765 78694 78840 83160 84315 85848 86724 91980 96360 96579 97020 101178 107310 108405 110376 112420 116424 118041 128772 134904 137970 143080 144540 145530 151767 157388 160965 168630 173448 183960 193158 194040 196735 202356 214620 216810 224840 236082 252945 257544 275940 289080 291060 303534 314776 321930 337260 354123 386316 393470 404712 429240 433620 472164 482895 505890 551880 582120 590205 607068 643860 674520 708246 758835 772632 786940 867240 944328 965790 1011780 1062369 1180410 1214136 1287720 1416492 1517670 1573880 1770615 1931580 2023560 2124738 2360820 2832984 3035340 3541230 3863160 4249476 4721640 5311845 6070680 7082460 8498952 10623690 14164920 21247380 42494760
- Sum of all divisors σ(n): 182217600
- Sum of proper divisors (its aliquot sum) s(n): 139722840
- 42494760 is an abundant number, because the sum of its proper divisors (139722840) is greater than itself. Its abundance is 97228080
Bases of 42494760
- Binary: 101000100001101011001010002
- Hexadecimal: 0x2886B28
- Base-36: PAT60
Squares and roots of 42494760
- 42494760 squared (424947602) is 1805804627457600
- 42494760 cubed (424947603) is 76737234250700122176000
-
The
square root of 42494760 is 6518.8005031601 -
The
cube root of 42494760 is 348.9622595019
Scales and comparisons
How big is 42494760?- 42,494,760 seconds is equal to 1 year, 18 weeks, 1 day, 20 hours, 6 minutes.
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To count from 1 to 42,494,760 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 42494760 cubic inches would be around 29.1 feet tall.
Recreational maths with 42494760
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