542144640
542,144,640 is an even composite number composed of six prime numbers multiplied together.
542144640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 542144640:
27 × 3 × 5 × 41 × 71 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41 × 71 × 97)See below for interesting mathematical facts about the number 542144640 from the Numbermatics database.
Names of 542144640
- Cardinal: 542144640 can be written as Five hundred forty-two million, one hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 5.4214464 × 108
Factors of 542144640
Divisors of 542144640
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 71 80 82 96 97 120 123 128 142 160 164 192 194 205 213 240 246 284 291 320 328 355 384 388 410 426 480 485 492 568 582 615 640 656 710 776 820 852 960 970 984 1065 1136 1164 1230 1312 1420 1455 1552 1640 1704 1920 1940 1968 2130 2272 2328 2460 2624 2840 2910 2911 3104 3280 3408 3880 3936 3977 4260 4544 4656 4920 5248 5680 5820 5822 6208 6560 6816 6887 7760 7872 7954 8520 8733 9088 9312 9840 11360 11640 11644 11931 12416 13120 13632 13774 14555 15520 15744 15908 17040 17466 18624 19680 19885 20661 22720 23280 23288 23862 26240 27264 27548 29110 31040 31816 34080 34435 34932 37248 39360 39770 41322 43665 45440 46560 46576 47724 55096 58220 59655 62080 63632 68160 68870 69864 78720 79540 82644 87330 93120 93152 95448 103305 110192 116440 119310 127264 136320 137740 139728 159080 165288 174660 186240 186304 190896 206610 220384 232880 238620 254528 275480 279456 282367 318160 330576 349320 372608 381792 413220 440768 465760 477240 509056 550960 558912 564734 636320 661152 698640 763584 826440 847101 881536 931520 954480 1101920 1117824 1129468 1272640 1322304 1397280 1411835 1527168 1652880 1694202 1863040 1908960 2203840 2258936 2545280 2644608 2794560 2823670 3305760 3388404 3817920 4235505 4407680 4517872 5589120 5647340 6611520 6776808 7635840 8471010 9035744 11294680 13223040 13553616 16942020 18071488 22589360 27107232 33884040 36142976 45178720 54214464 67768080 90357440 108428928 135536160 180714880 271072320 542144640
- Sum of all divisors σ(n): 1813674240
- Sum of proper divisors (its aliquot sum) s(n): 1271529600
- 542144640 is an abundant number, because the sum of its proper divisors (1271529600) is greater than itself. Its abundance is 729384960
Bases of 542144640
- Binary: 1000000101000001111000100000002
- Hexadecimal: 0x20507880
- Base-36: 8YS1HC
Squares and roots of 542144640
- 542144640 squared (5421446402) is 293920810680729600
- 542144640 cubed (5421446403) is 159347592095012303929344000
-
The
square root of 542144640 is 23283.9996564167 -
The
cube root of 542144640 is 815.4019069823
Scales and comparisons
How big is 542144640?- 542,144,640 seconds is equal to 17 years, 12 weeks, 2 days, 19 hours, 44 minutes.
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To count from 1 to 542,144,640 would take you about twenty-five 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 542144640 cubic inches would be around 68 feet tall.
Recreational maths with 542144640
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