42745443926016000
42,745,443,926,016,000 is an even composite number composed of six prime numbers multiplied together.
42745443926016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42745443926016000:
217 × 3 × 53 × 133 × 31 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 31 × 113 × 113)See below for interesting mathematical facts about the number 42745443926016000 from the Numbermatics database.
Names of 42745443926016000
- Cardinal: 42745443926016000 can be written as Forty-two quadrillion, seven hundred forty-five trillion, four hundred forty-three billion, nine hundred twenty-six million, sixteen thousand.
Scientific notation
- Scientific notation: 4.2745443926016 × 1016
Factors of 42745443926016000
Divisors of 42745443926016000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 113 120 124 125 128 130 150 155 156 160 169 186 192 195 200 208 226 240 248 250 256 260 300 310 312 320 325 338 339 372 375 384 390 400 403 416 452 465 480 496 500 507 512 520 565 600 620 624 640 650 676 678 744 750 768 775 780 800 806 832 845 904 930 960 975 992 1000 1014 1024 1040 1130 1200 1209 1240 1248 1280 1300 1352 1356 1469 1488 1500 1536 1550 1560 1600 1612 1625 1664 1690 1695 1808 1860 1920 1950 1984 2000 2015 2028 2048 2080 2197 2260 2325 2400 2418 2480 2496 2535 2560 2600 2704 2712 2825 2938 2976 3000 3072 3100 3120 3200 3224 3250 3328 3380 3390 3503 3616 3720 3840 3875 3900 3968 4000 4030 4056 4096 4160 4225 4394 4407 4520 4650 4800 4836 4875 4960 4992 5070 5120 5200 5239 5408 5424 5650 5876 5952 6000 6045 6144 6200 6240 6400 6448 6500 6591 6656 6760 6780 7006 7232 7345 7440 7680 7750 7800 7936 8000 8060 8112 8192 8320 8450 8475 8788 8814 9040 9300 9600 9672 9750 9920 9984 10075 10140 10240 10400 10478 10509 10816 10848 10985 11300 11625 11752 11904 12000 12090 12288 12400 12480 12675 12769 12800 12896 13000 13182 13312 13520 13560 14012 14125 14464 14690 14880 15360 15500 15600 15717 15872 16000 16120 16224 16384 16640 16900 16950 17515 17576 17628 18080 18600 19097 19200 19344 19500 19840 19968 20150 20280 20480 20800 20956 21018 21125 21632 21696 21970 22035 22600 23250 23504 23808 24000 24180 24576 24800 24960 25350 25538 25600 25792 26000 26195 26364 26624 27040 27120 28024 28250 28928 29380 29760 30225 30720 31000 31200 31434 31744 32000 32240 32448 32768 32955 33280 33800 33900 35030 35152 35256 36160 36725 37200 38194 38307 38400 38688 39000 39680 39936 40300 40560 40960 41600 41912 42036 42250 42375 43264 43392 43940 44070 45200 45539 46500 47008 47616 48000 48360 49152 49600 49920 50375 50700 51076 51200 51584 52000 52390 52545 52728 53248 54080 54240 54925 56048 56500 57291 57856 58760 59520 60450 61440 62000 62400 62868 63375 63488 63845 64000 64480 64896 65536 65910 66560 67600 67800 68107 70060 70304 70512 72320 73450 74400 76388 76614 76800 77376 78000 78585 79360 79872 80600 81120 81920 83200 83824 84072 84500 84750 86528 86784 87575 87880 88140 90400 91078 93000 94016 95232 95485 96000 96720 98304 99200 99840 100750 101400 102152 102400 103168 104000 104780 105090 105456 106496 108160 108480 109850 110175 112096 113000 114582 115712 117520 119040 120900 122880 124000 124800 125736 126750 126976 127690 128000 128960 129792 130975 131072 131820 133120 135200 135600 136214 136617 140120 140608 141024 144640 146900 148800 151125 152776 153228 153600 154752 156000 157170 158720 159744 161200 162240 163840 164775 165997 166400 167648 168144 169000 169500 173056 173568 175150 175760 176280 180800 182156 183625 186000 188032 190464 190970 191535 192000 193440 196608 198400 199680 201500 202800 204304 204321 204800 206336 208000 209560 210180 210912 212992 216320 216960 219700 220350 224192 226000 227695 229164 231424 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42745443926016000
- Sum of all divisors σ(n): 160496954945832960
- Sum of proper divisors (its aliquot sum) s(n): 117751511019816960
- 42745443926016000 is an abundant number, because the sum of its proper divisors (117751511019816960) is greater than itself. Its abundance is 75006067093800960
Bases of 42745443926016000
- Binary: 100101111101110011000001001110001111101000000000000000002
- Hexadecimal: 0x97DCC138FA0000
- Base-36: BOVZTUIW5XC
Squares and roots of 42745443926016000
- 42745443926016000 squared (427454439260160002) is 1827172976432178147681632256000000
- 42745443926016000 cubed (427454439260160003) is 78103320007213425321390673349363783172096000000000
-
The
square root of 42745443926016000 is 206749713.2428869897 -
The
cube root of 42745443926016000 is 349647.1107826445
Scales and comparisons
How big is 42745443926016000?- 42,745,443,926,016,000 seconds is equal to 1,359,172,896 years, 26 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 42,745,443,926,016,000 would take you about four billion, seventy-seven million, five hundred eighteen thousand, six hundred eighty-nine 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 42745443926016000 cubic inches would be around 29137.3 feet tall.
Recreational maths with 42745443926016000
- 42745443926016000 backwards is 00061062934454724
- The number of decimal digits it has is: 17
- The sum of 42745443926016000's digits is 57
- More coming soon!
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MLA style:
"Number 42745443926016000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 42745443926016000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/42745443926016000/
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Numbermatics. 2024. "Number 42745443926016000 - Facts about the integer". https://numbermatics.com/n/42745443926016000/
The information we have on file for 42745443926016000 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!
Keywords: Divisors of 42745443926016000, math, Factors of 42745443926016000, curriculum, school, college, exams, university, Prime factorization of 42745443926016000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred forty-five trillion, four hundred forty-three billion, nine hundred twenty-six million, sixteen thousand.