42412644041011200
42,412,644,041,011,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 42412644041011200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2106 divisors.
42412644041011200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 42412644041011200:
212 × 38 × 52 × 112 × 521723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 521723)See below for interesting mathematical facts about the number 42412644041011200 from the Numbermatics database.
Names of 42412644041011200
- Cardinal: 42412644041011200 can be written as Forty-two quadrillion, four hundred twelve trillion, six hundred forty-four billion, forty-one million, eleven thousand, two hundred.
Scientific notation
- Scientific notation: 4.24126440410112 × 1016
Factors of 42412644041011200
Divisors of 42412644041011200
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 256 264 270 275 288 297 300 320 324 330 352 360 363 384 396 400 405 432 440 450 480 484 486 495 512 528 540 550 576 594 600 605 640 648 660 675 704 720 726 729 768 792 800 810 825 864 880 891 900 960 968 972 990 1024 1056 1080 1089 1100 1152 1188 1200 1210 1215 1280 1296 1320 1350 1408 1440 1452 1458 1485 1536 1584 1600 1620 1650 1728 1760 1782 1800 1815 1920 1936 1944 1980 2025 2048 2112 2160 2178 2187 2200 2304 2376 2400 2420 2430 2475 2560 2592 2640 2673 2700 2816 2880 2904 2916 2970 3025 3072 3168 3200 3240 3267 3300 3456 3520 3564 3600 3630 3645 3840 3872 3888 3960 4050 4096 4224 4320 4356 4374 4400 4455 4608 4752 4800 4840 4860 4950 5120 5184 5280 5346 5400 5445 5632 5760 5808 5832 5940 6050 6075 6144 6336 6400 6480 6534 6561 6600 6912 7040 7128 7200 7260 7290 7425 7680 7744 7776 7920 8019 8100 8448 8640 8712 8748 8800 8910 9075 9216 9504 9600 9680 9720 9801 9900 10240 10368 10560 10692 10800 10890 10935 11264 11520 11616 11664 11880 12100 12150 12288 12672 12800 12960 13068 13122 13200 13365 13824 14080 14256 14400 14520 14580 14850 15360 15488 15552 15840 16038 16200 16335 16896 17280 17424 17496 17600 17820 18150 18225 18432 19008 19200 19360 19440 19602 19800 20480 20736 21120 21384 21600 21780 21870 22275 22528 23040 23232 23328 23760 24057 24200 24300 25344 25600 25920 26136 26244 26400 26730 27225 27648 28160 28512 28800 29040 29160 29403 29700 30720 30976 31104 31680 32076 32400 32670 32805 33792 34560 34848 34992 35200 35640 36300 36450 36864 38016 38400 38720 38880 39204 39600 40095 41472 42240 42768 43200 43560 43740 44550 45056 46080 46464 46656 47520 48114 48400 48600 49005 50688 51200 51840 52272 52488 52800 53460 54450 54675 55296 56320 57024 57600 58080 58320 58806 59400 61440 61952 62208 63360 64152 64800 65340 65610 66825 67584 69120 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53015805051264 53551318233600 55224796928400 58179209932800 58419619891200 58906450056960 60245233012800 62833546727424 64261581880320 65451611174400 66269756314080 70103543869440 70687740068352 71401757644800 73633062571200 77113898256384 78541933409280 80326977350400 82837195392600 85682109173760 87268814899200 87629429836800 88359675085440 94250320091136 96392372820480 98177416761600 104722577879040 106031610102528 107102636467200 110449593856800 116839239782400 117812900113920 120490466025600 128523163760640 130903222348800 132539512628160 141375480136704 142803515289600 147266125142400 154227796512768 157083866818560 160653954700800 165674390785200 174537629798400 175258859673600 176719350170880 188500640182272 192784745640960 196354833523200 212063220205056 214205272934400 220899187713600 235625800227840 240980932051200 257046327521280 261806444697600 265079025256320 282750960273408 294532250284800 314167733637120 321307909401600 331348781570400 350517719347200 353438700341760 385569491281920 392709667046400 424126440410112 428410545868800 441798375427200 471251600455680 481961864102400 523612889395200 530158050512640 565501920546816 589064500569600 642615818803200 662697563140800 706877400683520 771138982563840 785419334092800 848252880820224 883596750854400 942503200911360 963923728204800 1060316101025280 1178129001139200 1285231637606400 1325395126281600 1413754801367040 1570838668185600 1696505761640448 1767193501708800 1927847456409600 2120632202050560 2356258002278400 2650790252563200 2827509602734080 3534387003417600 3855694912819200 4241264404101120 4712516004556800 5301580505126400 7068774006835200 8482528808202240 10603161010252800 14137548013670400 21206322020505600 42412644041011200
- Sum of all divisors σ(n): 173392499791504812
- Sum of proper divisors (its aliquot sum) s(n): 130979855750493612
- 42412644041011200 is an abundant number, because the sum of its proper divisors (130979855750493612) is greater than itself. Its abundance is 88567211709482412
Bases of 42412644041011200
- Binary: 100101101010111000010011001101100000110010110000000000002
- Hexadecimal: 0x96AE13360CB000
- Base-36: BLM0ZOW0000
Squares and roots of 42412644041011200
- 42412644041011200 squared (424126440410112002) is 1798832374549522852907518525440000
- 42412644041011200 cubed (424126440410112003) is 76293237191215847409356339768052487110524928000000
-
The
square root of 42412644041011200 is 205943302.9768416627 -
The
cube root of 42412644041011200 is 348737.3388441753
Scales and comparisons
How big is 42412644041011200?- 42,412,644,041,011,200 seconds is equal to 1,348,590,889 years, 30 weeks, 2 days.
-
To count from 1 to 42,412,644,041,011,200 would take you about four billion, forty-five million, seven hundred seventy-two thousand, six hundred sixty-eight 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 42412644041011200 cubic inches would be around 29061.4 feet tall.
Recreational maths with 42412644041011200
- 42412644041011200 backwards is 00211014044621424
- 42412644041011200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42412644041011200's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 42412644041011200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42412644041011200/
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The information we have on file for 42412644041011200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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