42688105230336000
42,688,105,230,336,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42688105230336000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3072 divisors.
42688105230336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 42688105230336000:
215 × 3 × 53 × 195 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 19 × 19 × 23 × 61)See below for interesting mathematical facts about the number 42688105230336000 from the Numbermatics database.
Names of 42688105230336000
- Cardinal: 42688105230336000 can be written as Forty-two quadrillion, six hundred eighty-eight trillion, one hundred five billion, two hundred thirty million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.2688105230336 × 1016
Factors of 42688105230336000
Divisors of 42688105230336000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 25 30 32 38 40 46 48 50 57 60 61 64 69 75 76 80 92 95 96 100 114 115 120 122 125 128 138 150 152 160 183 184 190 192 200 228 230 240 244 250 256 276 285 300 304 305 320 345 361 366 368 375 380 384 400 437 456 460 475 480 488 500 512 552 570 575 600 608 610 640 690 722 732 736 750 760 768 800 874 912 915 920 950 960 976 1000 1024 1083 1104 1140 1150 1159 1200 1216 1220 1280 1311 1380 1403 1425 1444 1464 1472 1500 1520 1525 1536 1600 1725 1748 1805 1824 1830 1840 1900 1920 1952 2000 2048 2166 2185 2208 2280 2300 2318 2375 2400 2432 2440 2560 2622 2760 2806 2850 2875 2888 2928 2944 3000 3040 3050 3072 3200 3450 3477 3496 3610 3648 3660 3680 3800 3840 3904 4000 4096 4209 4332 4370 4416 4560 4575 4600 4636 4750 4800 4864 4880 5120 5244 5415 5520 5612 5700 5750 5776 5795 5856 5888 6000 6080 6100 6144 6400 6555 6859 6900 6954 6992 7015 7125 7220 7296 7320 7360 7600 7625 7680 7808 8000 8192 8303 8418 8625 8664 8740 8832 9025 9120 9150 9200 9272 9500 9600 9728 9760 10240 10488 10830 10925 11040 11224 11400 11500 11552 11590 11712 11776 12000 12160 12200 12288 12800 13110 13718 13800 13908 13984 14030 14250 14440 14592 14640 14720 15200 15250 15360 15616 16000 16384 16606 16836 17250 17328 17385 17480 17664 18050 18240 18300 18400 18544 19000 19200 19456 19520 20480 20577 20976 21045 21660 21850 22021 22080 22448 22800 22875 23000 23104 23180 23424 23552 24000 24320 24400 24576 24909 25600 26220 26657 27075 27436 27600 27816 27968 28060 28500 28880 28975 29184 29280 29440 30400 30500 30720 31232 32000 32768 32775 33212 33672 34295 34500 34656 34770 34960 35075 35328 36100 36480 36600 36800 37088 38000 38400 38912 39040 40960 41154 41515 41952 42090 43320 43700 44042 44160 44896 45125 45600 45750 46000 46208 46360 46848 47104 48000 48640 48800 49152 49818 51200 52440 53314 54150 54625 54872 55200 55632 55936 56120 57000 57760 57950 58368 58560 58880 60800 61000 61440 62464 64000 65550 66063 66424 67344 68590 69000 69312 69540 69920 70150 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88933552563200 89869695221760 92800228761600 93614265856000 97684451328000 106720263075840 111166940704000 112337119027200 113834947280896 116000285952000 116634167296000 118249598976000 123733638348800 133400328844800 139961000755200 140421398784000 142293684101120 149782825369600 154667047936000 166750411056000 170752420921344 174951250944000 177867105126400 185600457523200 187228531712000 213440526151680 222333881408000 224674238054400 232000571904000 233268334592000 266800657689600 280842797568000 284587368202240 309334095872000 333500822112000 341504841842688 349902501888000 355734210252800 371200915046400 374457063424000 426881052303360 444667762816000 449348476108800 464001143808000 533601315379200 561685595136000 569174736404480 618668191744000 667001644224000 699805003776000 711468420505600 748914126848000 853762104606720 889335525632000 928002287616000 1067202630758400 1123371190272000 1334003288448000 1422936841011200 1707524209213440 1778671051264000 1856004575232000 2134405261516800 2246742380544000 2668006576896000 2845873682022400 3557342102528000 4268810523033600 5336013153792000 7114684205056000 8537621046067200 10672026307584000 14229368410112000 21344052615168000 42688105230336000
- Sum of all divisors σ(n): 159041299655347200
- Sum of proper divisors (its aliquot sum) s(n): 116353194425011200
- 42688105230336000 is an abundant number, because the sum of its proper divisors (116353194425011200) is greater than itself. Its abundance is 73665089194675200
Bases of 42688105230336000
- Binary: 100101111010100010011011000001000110001110000000000000002
- Hexadecimal: 0x97A89B04638000
- Base-36: BOBO4TBXD6O
Squares and roots of 42688105230336000
- 42688105230336000 squared (426881052303360002) is 1822274328156239759614672896000000
- 42688105230336000 cubed (426881052303360003) is 77789438278873398913801557395707376173056000000000
-
The
square root of 42688105230336000 is 206610999.7805925143 -
The
cube root of 42688105230336000 is 349490.7020648541
Scales and comparisons
How big is 42688105230336000?- 42,688,105,230,336,000 seconds is equal to 1,357,349,703 years, 17 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 42,688,105,230,336,000 would take you about four billion, seventy-two million, forty-nine thousand, one hundred ten 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 42688105230336000 cubic inches would be around 29124.2 feet tall.
Recreational maths with 42688105230336000
- 42688105230336000 backwards is 00063303250188624
- The number of decimal digits it has is: 17
- The sum of 42688105230336000's digits is 51
- More coming soon!
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"Number 42688105230336000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 42688105230336000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42688105230336000/
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Numbermatics. 2024. "Number 42688105230336000 - Facts about the integer". https://numbermatics.com/n/42688105230336000/
The information we have on file for 42688105230336000 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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