40042080
40,042,080 is an even composite number composed of six prime numbers multiplied together.
40042080 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 40042080:
25 × 33 × 5 × 13 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 23 × 31)See below for interesting mathematical facts about the number 40042080 from the Numbermatics database.
Names of 40042080
- Cardinal: 40042080 can be written as Forty million, forty-two thousand and eighty.
Scientific notation
- Scientific notation: 4.004208 × 107
Factors of 40042080
Divisors of 40042080
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 31 32 36 39 40 45 46 48 52 54 60 62 65 69 72 78 80 90 92 93 96 104 108 115 117 120 124 130 135 138 144 155 156 160 180 184 186 195 207 208 216 230 234 240 248 260 270 276 279 288 299 310 312 345 351 360 368 372 390 403 414 416 432 460 465 468 480 496 520 540 552 558 585 598 620 621 624 690 702 713 720 736 744 780 806 828 837 864 897 920 930 936 992 1035 1040 1080 1104 1116 1170 1196 1209 1240 1242 1248 1380 1395 1404 1426 1440 1488 1495 1560 1612 1656 1674 1755 1794 1840 1860 1872 2015 2070 2080 2139 2160 2208 2232 2340 2392 2418 2480 2484 2691 2760 2790 2808 2852 2976 2990 3105 3120 3224 3312 3348 3510 3565 3588 3627 3680 3720 3744 4030 4140 4185 4278 4320 4464 4485 4680 4784 4836 4960 4968 5382 5520 5580 5616 5704 5980 6045 6210 6240 6417 6448 6624 6696 7020 7130 7176 7254 7440 8060 8073 8280 8370 8556 8928 8970 9269 9360 9568 9672 9936 10695 10764 10881 11040 11160 11232 11408 11960 12090 12420 12834 12896 13392 13455 14040 14260 14352 14508 14880 16120 16146 16560 16740 17112 17940 18135 18538 18720 19251 19344 19872 21390 21528 21762 22320 22816 23920 24180 24840 25668 26784 26910 27807 28080 28520 28704 29016 32085 32240 32292 33120 33480 34224 35880 36270 37076 38502 38688 40365 42780 43056 43524 44640 46345 47840 48360 49680 51336 53820 54405 55614 56160 57040 58032 64170 64480 64584 66960 68448 71760 72540 74152 77004 80730 83421 85560 86112 87048 92690 96255 96720 99360 102672 107640 108810 111228 114080 116064 128340 129168 133920 139035 143520 145080 148304 154008 161460 166842 171120 174096 185380 192510 193440 205344 215280 217620 222456 250263 256680 258336 278070 290160 296608 308016 322920 333684 342240 348192 370760 385020 417105 430560 435240 444912 500526 513360 556140 580320 616032 645840 667368 741520 770040 834210 870480 889824 1001052 1026720 1112280 1251315 1291680 1334736 1483040 1540080 1668420 1740960 2002104 2224560 2502630 2669472 3080160 3336840 4004208 4449120 5005260 6673680 8008416 10010520 13347360 20021040 40042080
- Sum of all divisors σ(n): 162570240
- Sum of proper divisors (its aliquot sum) s(n): 122528160
- 40042080 is an abundant number, because the sum of its proper divisors (122528160) is greater than itself. Its abundance is 82486080
Bases of 40042080
- Binary: 100110001011111110011000002
- Hexadecimal: 0x262FE60
- Base-36: NU8O0
Squares and roots of 40042080
- 40042080 squared (400420802) is 1603368170726400
- 40042080 cubed (400420803) is 64202196561680166912000
-
The
square root of 40042080 is 6327.8811619689 -
The
cube root of 40042080 is 342.1150736189
Scales and comparisons
How big is 40042080?- 40,042,080 seconds is equal to 1 year, 14 weeks, 1 day, 10 hours, 48 minutes.
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To count from 1 to 40,042,080 would take you about forty-seven weeks!
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 40042080 cubic inches would be around 28.5 feet tall.
Recreational maths with 40042080
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