42457409703116800
42,457,409,703,116,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42457409703116800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2268 divisors.
42457409703116800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 42457409703116800:
220 × 52 × 73 × 412 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 42457409703116800 from the Numbermatics database.
Names of 42457409703116800
- Cardinal: 42457409703116800 can be written as Forty-two quadrillion, four hundred fifty-seven trillion, four hundred nine billion, seven hundred three million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 4.24574097031168 × 1016
Factors of 42457409703116800
Divisors of 42457409703116800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 53 56 64 70 80 82 98 100 106 112 128 140 160 164 175 196 200 205 212 224 245 256 265 280 287 320 328 343 350 371 392 400 410 424 448 490 512 530 560 574 640 656 686 700 742 784 800 820 848 896 980 1024 1025 1060 1120 1148 1225 1280 1312 1325 1372 1400 1435 1484 1568 1600 1640 1681 1696 1715 1792 1855 1960 2009 2048 2050 2120 2173 2240 2296 2450 2560 2597 2624 2650 2744 2800 2809 2870 2968 3136 3200 3280 3362 3392 3430 3584 3710 3920 4018 4096 4100 4240 4346 4480 4592 4900 5120 5194 5248 5300 5488 5600 5618 5740 5936 6272 6400 6560 6724 6784 6860 7168 7175 7420 7840 8036 8192 8200 8405 8480 8575 8692 8960 9184 9275 9800 10045 10240 10388 10496 10600 10865 10976 11200 11236 11480 11767 11872 12544 12800 12985 13120 13448 13568 13720 14045 14063 14336 14350 14840 15211 15680 16072 16384 16400 16810 16960 17150 17384 17920 18179 18368 18550 19600 19663 20090 20480 20776 20992 21200 21730 21952 22400 22472 22960 23534 23744 25088 25600 25970 26240 26896 27136 27440 28090 28126 28672 28700 29680 30422 31360 32144 32768 32800 33620 33920 34300 34768 35840 36358 36736 37100 39200 39326 40180 40960 41552 41984 42025 42400 43460 43904 44800 44944 45920 47068 47488 50176 50225 51200 51940 52480 53792 54272 54325 54880 56180 56252 57344 57400 58835 59360 60844 62720 64288 64925 65536 65600 67240 67840 68600 69536 70225 70315 71680 72716 73472 74200 76055 78400 78652 80360 81920 82369 83104 83968 84050 84800 86920 87808 89093 89600 89888 90895 91840 94136 94976 98315 100352 100450 102400 103880 104960 106477 107584 108544 108650 109760 112360 112504 114688 114800 115169 117670 118720 121688 125440 128576 129850 131072 131200 134480 135680 137200 137641 139072 140450 140630 143360 145432 146944 148400 152110 156800 157304 160720 163840 164738 166208 167936 168100 169600 173840 175616 178186 179200 179776 181790 183680 188272 189952 196630 200704 200900 204800 207760 209920 212954 215168 217088 217300 219520 224720 225008 229376 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4951301423104 5006770012160 5051446722560 5177732890624 5182789270400 5283400908800 5415485931520 5722022871040 5917409017856 5923187737600 6189126778880 6258462515200 6314308403200 6472166113280 6633970266112 6769357414400 7152528588800 7396761272320 7557388697600 7581680304128 7736408473600 8010832019456 8090207641600 8174318387200 8292462832640 8664777490432 9245951590400 9477100380160 9769307340800 10013540024320 10355465781248 10365578540800 10566801817600 10830971863040 11444045742080 11846375475200 12378253557760 12516925030400 12628616806400 12944332226560 13267940532224 13538714828800 14305057177600 14793522544640 15114777395200 15163360608256 15472816947200 16021664038912 16180415283200 16348636774400 16584925665280 17329554980864 18491903180800 18954200760320 19538614681600 20027080048640 20710931562496 20731157081600 21133603635200 21661943726080 22888091484160 23692750950400 24756507115520 25033850060800 25257233612800 25888664453120 26535881064448 27077429657600 28610114355200 29587045089280 30326721216512 30945633894400 32043328077824 32360830566400 33169851330560 34659109961728 36983806361600 37908401520640 40054160097280 41421863124992 41462314163200 43323887452160 47385501900800 50067700121600 51777328906240 53071762128896 54154859315200 57220228710400 60653442433024 61891267788800 64721661132800 66339702661120 73967612723200 75816803041280 80108320194560 82924628326400 86647774904320 94771003801600 100135400243200 103554657812480 106143524257792 108309718630400 114440457420800 121306884866048 123782535577600 129443322265600 132679405322240 147935225446400 151633606082560 160216640389120 165849256652800 173295549808640 189542007603200 200270800486400 207109315624960 212287048515584 216619437260800 242613769732096 258886644531200 265358810644480 303267212165120 331698513305600 379084015206400 400541600972800 424574097031168 433238874521600 517773289062400 530717621288960 606534424330240 663397026611200 758168030412800 801083201945600 849148194062336 866477749043200 1035546578124800 1061435242577920 1213068848660480 1326794053222400 1516336060825600 1698296388124672 2122870485155840 2653588106444800 3032672121651200 4245740970311680 5307176212889600 6065344243302400 8491481940623360 10614352425779200 21228704851558400 42457409703116800
- Sum of all divisors σ(n): 128279722710907600
- Sum of proper divisors (its aliquot sum) s(n): 85822313007790800
- 42457409703116800 is an abundant number, because the sum of its proper divisors (85822313007790800) is greater than itself. Its abundance is 43364903304674000
Bases of 42457409703116800
- Binary: 100101101101011011001010000001110111000000000000000000002
- Hexadecimal: 0x96D6CA07700000
- Base-36: BM1W8R3EHOG
Squares and roots of 42457409703116800
- 42457409703116800 squared (424574097031168002) is 1802631638698316599115634442240000
- 42457409703116800 cubed (424574097031168003) is 76535070028015244840458062365738275157573632000000
-
The
square root of 42457409703116800 is 206051958.7461298561 -
The
cube root of 42457409703116800 is 348859.9907005005
Scales and comparisons
How big is 42457409703116800?- 42,457,409,703,116,800 seconds is equal to 1,350,014,299 years, 8 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,457,409,703,116,800 would take you about four billion, fifty million, forty-two thousand, eight hundred ninety-seven 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 42457409703116800 cubic inches would be around 29071.7 feet tall.
Recreational maths with 42457409703116800
- 42457409703116800 backwards is 00861130790475424
- The number of decimal digits it has is: 17
- The sum of 42457409703116800's digits is 61
- More coming soon!
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"Number 42457409703116800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 42457409703116800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42457409703116800/
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The information we have on file for 42457409703116800 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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