42106680
42,106,680 is an even composite number composed of six prime numbers multiplied together.
42106680 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 42106680:
23 × 32 × 5 × 73 × 11 × 31
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 31)See below for interesting mathematical facts about the number 42106680 from the Numbermatics database.
Names of 42106680
- Cardinal: 42106680 can be written as Forty-two million, one hundred six thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.210668 × 107
Factors of 42106680
Divisors of 42106680
- 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 28 30 31 33 35 36 40 42 44 45 49 55 56 60 62 63 66 70 72 77 84 88 90 93 98 99 105 110 120 124 126 132 140 147 154 155 165 168 180 186 196 198 210 217 220 231 245 248 252 264 279 280 294 308 310 315 330 341 343 360 372 385 392 396 420 434 440 441 462 465 490 495 504 539 558 588 616 620 630 651 660 682 686 693 735 744 770 792 840 868 882 924 930 980 990 1023 1029 1078 1085 1116 1155 1176 1240 1260 1302 1320 1364 1372 1386 1395 1470 1519 1540 1617 1705 1715 1736 1764 1848 1860 1953 1960 1980 2046 2058 2156 2170 2205 2232 2310 2387 2520 2604 2695 2728 2744 2772 2790 2940 3038 3069 3080 3087 3234 3255 3410 3430 3465 3528 3720 3773 3906 3960 4092 4116 4312 4340 4410 4557 4620 4774 4851 5115 5145 5208 5390 5544 5580 5880 6076 6138 6174 6468 6510 6820 6860 6930 7161 7546 7595 7812 8085 8184 8232 8680 8820 9114 9240 9548 9702 9765 10230 10290 10633 10780 11160 11319 11935 12152 12276 12348 12936 13020 13640 13671 13720 13860 14322 15092 15190 15345 15435 15624 16170 16709 17640 18228 18865 19096 19404 19530 20460 20580 21266 21483 21560 22638 22785 23870 24255 24552 24696 26040 27342 27720 28644 30184 30380 30690 30870 31899 32340 33418 33957 35805 36456 37730 38808 39060 40920 41160 42532 42966 45276 45570 47740 48510 50127 53165 54684 56595 57288 60760 61380 61740 63798 64680 66836 67914 68355 71610 75460 78120 83545 85064 85932 90552 91140 95480 95697 97020 100254 106330 107415 109368 113190 116963 122760 123480 127596 133672 135828 136710 143220 150381 150920 159495 167090 169785 171864 182280 191394 194040 200508 212660 214830 226380 233926 250635 255192 271656 273420 286440 300762 318990 334180 339570 350889 382788 401016 425320 429660 452760 467852 478485 501270 546840 584815 601524 637980 668360 679140 701778 751905 765576 859320 935704 956970 1002540 1052667 1169630 1203048 1275960 1358280 1403556 1503810 1754445 1913940 2005080 2105334 2339260 2807112 3007620 3508890 3827880 4210668 4678520 5263335 6015240 7017780 8421336 10526670 14035560 21053340 42106680
- Sum of all divisors σ(n): 179712000
- Sum of proper divisors (its aliquot sum) s(n): 137605320
- 42106680 is an abundant number, because the sum of its proper divisors (137605320) is greater than itself. Its abundance is 95498640
Bases of 42106680
- Binary: 101000001001111111001110002
- Hexadecimal: 0x2827F38
- Base-36: P2HQ0
Squares and roots of 42106680
- 42106680 squared (421066802) is 1772972500622400
- 42106680 cubed (421066803) is 74653985732507197632000
-
The
square root of 42106680 is 6488.9660193285 -
The
cube root of 42106680 is 347.8967192519
Scales and comparisons
How big is 42106680?- 42,106,680 seconds is equal to 1 year, 17 weeks, 4 days, 8 hours, 18 minutes.
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To count from 1 to 42,106,680 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 42106680 cubic inches would be around 29 feet tall.
Recreational maths with 42106680
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