42424090225920000
42,424,090,225,920,000 is an even composite number composed of six prime numbers multiplied together.
42424090225920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.
Prime factorization of 42424090225920000:
211 × 35 × 54 × 132 × 43 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 43 × 137 × 137)See below for interesting mathematical facts about the number 42424090225920000 from the Numbermatics database.
Names of 42424090225920000
- Cardinal: 42424090225920000 can be written as Forty-two quadrillion, four hundred twenty-four trillion, ninety billion, two hundred twenty-five million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 4.242409022592 × 1016
Factors of 42424090225920000
Divisors of 42424090225920000
- Number of divisors d(n): 6480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 43 45 48 50 52 54 60 64 65 72 75 78 80 81 86 90 96 100 104 108 117 120 125 128 129 130 135 137 144 150 156 160 162 169 172 180 192 195 200 208 215 216 225 234 240 243 250 256 258 260 270 274 288 300 312 320 324 325 338 344 351 360 375 384 387 390 400 405 411 416 430 432 450 468 480 486 500 507 512 516 520 540 548 559 576 585 600 624 625 640 645 648 650 675 676 685 688 702 720 750 768 774 780 800 810 822 832 845 860 864 900 936 960 972 975 1000 1014 1024 1032 1040 1053 1075 1080 1096 1118 1125 1152 1161 1170 1200 1215 1233 1248 1250 1280 1290 1296 1300 1350 1352 1370 1376 1404 1440 1500 1521 1536 1548 1560 1600 1620 1625 1644 1664 1677 1690 1720 1728 1755 1781 1800 1872 1875 1920 1935 1944 1950 2000 2025 2028 2048 2055 2064 2080 2106 2150 2160 2192 2236 2250 2304 2322 2340 2400 2430 2466 2496 2500 2535 2560 2580 2592 2600 2700 2704 2740 2752 2795 2808 2880 2925 3000 3042 3072 3096 3120 3159 3200 3225 3240 3250 3288 3328 3354 3375 3380 3425 3440 3456 3483 3510 3562 3600 3699 3744 3750 3840 3870 3888 3900 4000 4050 4056 4110 4128 4160 4212 4225 4300 4320 4384 4472 4500 4563 4608 4644 4680 4800 4860 4875 4932 4992 5000 5031 5070 5120 5160 5184 5200 5265 5343 5375 5400 5408 5480 5504 5590 5616 5625 5760 5805 5850 5891 6000 6075 6084 6144 6165 6192 6240 6318 6400 6450 6480 6500 6576 6656 6708 6750 6760 6850 6880 6912 6966 7020 7124 7200 7267 7398 7488 7500 7605 7680 7740 7776 7800 8000 8100 8112 8125 8220 8256 8320 8385 8424 8450 8600 8640 8768 8775 8905 8944 9000 9126 9216 9288 9360 9600 9675 9720 9750 9864 9984 10000 10062 10125 10140 10240 10275 10320 10368 10400 10449 10530 10686 10750 10800 10816 10960 11008 11097 11180 11232 11250 11520 11610 11700 11782 12000 12150 12168 12330 12384 12480 12636 12675 12800 12900 12960 13000 13152 13312 13416 13500 13520 13689 13700 13760 13824 13932 13975 14040 14248 14400 14534 14625 14796 14976 15000 15093 15210 15360 15480 15552 15600 15795 16000 16029 16125 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424240902259200 441917606520000 471378780288000 493303374720000 523754200320000 530301127824000 543898592640000 565654536345600 589223475360000 652678311168000 662876409780000 707068170432000 785631300480000 815847888960000 848481804518400 883835213040000 942757560576000 986606749440000 1060602255648000 1087797185280000 1178446950720000 1325752819560000 1414136340864000 1571262600960000 1631695777920000 1696963609036800 1767670426080000 2121204511296000 2356893901440000 2651505639120000 2828272681728000 3263391555840000 3535340852160000 4242409022592000 4713787802880000 5303011278240000 7070681704320000 8484818045184000 10606022556480000 14141363408640000 21212045112960000 42424090225920000
- Sum of all divisors σ(n): 177228154051668720
- Sum of proper divisors (its aliquot sum) s(n): 134804063825748720
- 42424090225920000 is an abundant number, because the sum of its proper divisors (134804063825748720) is greater than itself. Its abundance is 92379973599828720
Bases of 42424090225920000
- Binary: 100101101011100001111100001110111101010111001000000000002
- Hexadecimal: 0x96B87C3BD5C800
- Base-36: BLQ31ZUYO00
Squares and roots of 42424090225920000
- 42424090225920000 squared (424240902259200002) is 1799803431497000876639846400000000
- 42424090225920000 cubed (424240902259200003) is 76355023166749191164450179310250098688000000000000
-
The
square root of 42424090225920000 is 205971090.7528529839 -
The
cube root of 42424090225920000 is 348768.7080511577
Scales and comparisons
How big is 42424090225920000?- 42,424,090,225,920,000 seconds is equal to 1,348,954,842 years, 44 weeks, 4 days.
-
To count from 1 to 42,424,090,225,920,000 would take you about four billion, forty-six million, eight hundred sixty-four thousand, five hundred twenty-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 42424090225920000 cubic inches would be around 29064.1 feet tall.
Recreational maths with 42424090225920000
- 42424090225920000 backwards is 00002952209042424
- 42424090225920000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42424090225920000's digits is 45
- More coming soon!
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"Number 42424090225920000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 42424090225920000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/42424090225920000/
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The information we have on file for 42424090225920000 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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