42742080
42,742,080 is an even composite number composed of five prime numbers multiplied together.
42742080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 42742080:
26 × 34 × 5 × 17 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 97)See below for interesting mathematical facts about the number 42742080 from the Numbermatics database.
Names of 42742080
- Cardinal: 42742080 can be written as Forty-two million, seven hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 4.274208 × 107
Factors of 42742080
Divisors of 42742080
- Number of divisors d(n): 280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 97 102 108 120 135 136 144 153 160 162 170 180 192 194 204 216 240 255 270 272 288 291 306 320 324 340 360 388 405 408 432 459 480 485 510 540 544 576 582 612 648 680 720 765 776 810 816 864 873 918 960 970 1020 1080 1088 1164 1224 1296 1360 1377 1440 1455 1530 1552 1620 1632 1649 1728 1746 1836 1940 2040 2160 2295 2328 2448 2592 2619 2720 2754 2880 2910 3060 3104 3240 3264 3298 3492 3672 3880 4080 4320 4365 4590 4656 4896 4947 5184 5238 5440 5508 5820 6120 6208 6480 6596 6885 6984 7344 7760 7857 8160 8245 8640 8730 9180 9312 9792 9894 10476 11016 11640 12240 12960 13095 13192 13770 13968 14688 14841 15520 15714 16320 16490 17460 18360 18624 19788 20952 22032 23280 24480 24735 25920 26190 26384 27540 27936 29376 29682 31040 31428 32980 34920 36720 39285 39576 41904 44064 44523 46560 48960 49470 52380 52768 55080 55872 59364 62856 65960 69840 73440 74205 78570 79152 83808 88128 89046 93120 98940 104760 105536 110160 118728 125712 131920 133569 139680 146880 148410 157140 158304 167616 178092 197880 209520 220320 222615 237456 251424 263840 267138 279360 296820 314280 316608 356184 395760 419040 440640 445230 474912 502848 527680 534276 593640 628560 667845 712368 791520 838080 890460 949824 1068552 1187280 1257120 1335690 1424736 1583040 1780920 2137104 2374560 2514240 2671380 2849472 3561840 4274208 4749120 5342760 7123680 8548416 10685520 14247360 21371040 42742080
- Sum of all divisors σ(n): 162644328
- Sum of proper divisors (its aliquot sum) s(n): 119902248
- 42742080 is an abundant number, because the sum of its proper divisors (119902248) is greater than itself. Its abundance is 77160168
Bases of 42742080
- Binary: 101000110000110001010000002
- Hexadecimal: 0x28C3140
- Base-36: PG400
Squares and roots of 42742080
- 42742080 squared (427420802) is 1826885402726400
- 42742080 cubed (427420803) is 78084882034164006912000
-
The
square root of 42742080 is 6537.7427297195 -
The
cube root of 42742080 is 349.6379385155
Scales and comparisons
How big is 42742080?- 42,742,080 seconds is equal to 1 year, 18 weeks, 4 days, 16 hours, 48 minutes.
-
To count from 1 to 42,742,080 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 42742080 cubic inches would be around 29.1 feet tall.
Recreational maths with 42742080
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