42421767241728000
42,421,767,241,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42421767241728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.
42421767241728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42421767241728000:
220 × 3 × 53 × 77 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 131)See below for interesting mathematical facts about the number 42421767241728000 from the Numbermatics database.
Names of 42421767241728000
- Cardinal: 42421767241728000 can be written as Forty-two quadrillion, four hundred twenty-one trillion, seven hundred sixty-seven billion, two hundred forty-one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2421767241728 × 1016
Factors of 42421767241728000
Divisors of 42421767241728000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 131 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 262 280 294 300 320 336 343 350 375 384 392 393 400 420 448 480 490 500 512 524 525 560 588 600 640 655 672 686 700 735 750 768 784 786 800 840 875 896 917 960 980 1000 1024 1029 1048 1050 1120 1176 1200 1225 1280 1310 1344 1372 1400 1470 1500 1536 1568 1572 1600 1680 1715 1750 1792 1834 1920 1960 1965 2000 2048 2058 2096 2100 2240 2352 2400 2401 2450 2560 2620 2625 2688 2744 2751 2800 2940 3000 3072 3136 3144 3200 3275 3360 3430 3500 3584 3668 3675 3840 3920 3930 4000 4096 4116 4192 4200 4480 4585 4704 4800 4802 4900 5120 5145 5240 5250 5376 5488 5502 5600 5880 6000 6125 6144 6272 6288 6400 6419 6550 6720 6860 7000 7168 7203 7336 7350 7680 7840 7860 8000 8192 8232 8384 8400 8575 8960 9170 9408 9600 9604 9800 9825 10240 10290 10480 10500 10752 10976 11004 11200 11760 12000 12005 12250 12288 12544 12576 12800 12838 13100 13440 13720 13755 14000 14336 14406 14672 14700 15360 15680 15720 16000 16375 16384 16464 16768 16800 16807 17150 17920 18340 18375 18816 19200 19208 19257 19600 19650 20480 20580 20960 21000 21504 21952 22008 22400 22925 23520 24000 24010 24500 24576 25088 25152 25600 25676 25725 26200 26880 27440 27510 28000 28672 28812 29344 29400 30720 31360 31440 32000 32095 32750 32768 32928 33536 33600 33614 34300 35840 36015 36680 36750 37632 38400 38416 38514 39200 39300 40960 41160 41920 42000 42875 43008 43904 44016 44800 44933 45850 47040 48000 48020 49000 49125 49152 50176 50304 50421 51200 51352 51450 52400 53760 54880 55020 56000 57344 57624 58688 58800 60025 61440 62720 62880 64000 64190 65500 65536 65856 67072 67200 67228 68600 68775 71680 72030 73360 73500 75264 76800 76832 77028 78400 78600 81920 82320 83840 84000 84035 85750 86016 87808 88032 89600 89866 91700 94080 96000 96040 96285 98000 98250 98304 100352 100608 100842 102400 102704 102900 104800 107520 109760 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3314200565760 3373232128000 3381837312000 3452292256000 3463001407488 3533674905600 3535147270144 3607293132800 3787657789440 3855122432000 3864956928000 3945476864000 4040168308736 4047878553600 4122620723200 4142750707200 4317737123840 4328751759360 4417093632000 4418934087680 4509116416000 4626146918400 4734572236800 4947144867840 5050210385920 5059848192000 5153275904000 5178438384000 5302720905216 5397171404800 5410939699200 5523667609600 5771669012480 5782683648000 5889458176000 5918215296000 6060252463104 6183931084800 6312762982400 6476605685760 6608781312000 6628401131520 6746464256000 6763674624000 6904584512000 6926002814976 7070294540288 7214586265600 7575315578880 7710244864000 7729913856000 7890953728000 8080336617472 8095757107200 8245241446400 8285501414400 8657503518720 8834187264000 8837868175360 9018232832000 9252293836800 9469144473600 10100420771840 10119696384000 10306551808000 10356876768000 10605441810432 10794342809600 10821879398400 11047335219200 11543338024960 11565367296000 11836430592000 12120504926208 12367862169600 12625525964800 12953211371520 13256802263040 13492928512000 13527349248000 13809169024000 14140589080576 14429172531200 15150631157760 15420489728000 15459827712000 15781907456000 16160673234944 16191514214400 16571002828800 17315007037440 17668374528000 17675736350720 18036465664000 18938288947200 20200841543680 20239392768000 20613103616000 20713753536000 21210883620864 21588685619200 21643758796800 22094670438400 23130734592000 23672861184000 24241009852416 24735724339200 25251051929600 26513604526080 26985857024000 27054698496000 27618338048000 28281178161152 28858345062400 30301262315520 30919655424000 31563814912000 32383028428800 33142005657600 34630014074880 35351472701440 36072931328000 37876577894400 40401683087360 40478785536000 41226207232000 41427507072000 42421767241728 43287517593600 44189340876800 46261469184000 47345722368000 48482019704832 50502103859200 53027209052160 53971714048000 54109396992000 55236676096000 56562356322304 57716690124800 60602524631040 61839310848000 63127629824000 64766056857600 66284011315200 70702945402880 72145862656000 75753155788800 80803366174720 80957571072000 82855014144000 84843534483456 86575035187200 88378681753600 94691444736000 101004207718400 106054418104320 107943428096000 108218793984000 110473352192000 113124712644608 121205049262080 123678621696000 126255259648000 132568022630400 141405890805760 144291725312000 151506311577600 161915142144000 165710028288000 169687068966912 173150070374400 176757363507200 189382889472000 202008415436800 212108836208640 216437587968000 220946704384000 242410098524160 252510519296000 265136045260800 282811781611520 288583450624000 303012623155200 323830284288000 331420056576000 339374137933824 353514727014400 378765778944000 404016830873600 424217672417280 432875175936000 441893408768000 505021038592000 530272090521600 565623563223040 606025246310400 662840113152000 707029454028800 757531557888000 848435344834560 865750351872000 883786817536000 1010042077184000 1060544181043200 1212050492620800 1325680226304000 1414058908057600 1515063115776000 1696870689669120 1767573635072000 2020084154368000 2121088362086400 2651360452608000 2828117816115200 3030126231552000 3535147270144000 4242176724172800 5302720905216000 6060252463104000 7070294540288000 8484353448345600 10605441810432000 14140589080576000 21210883620864000 42421767241728000
- Sum of all divisors σ(n): 165966798732134400
- Sum of proper divisors (its aliquot sum) s(n): 123545031490406400
- 42421767241728000 is an abundant number, because the sum of its proper divisors (123545031490406400) is greater than itself. Its abundance is 81123264248678400
Bases of 42421767241728000
- Binary: 100101101011011001011111010111110011000000000000000000002
- Hexadecimal: 0x96B65F5F300000
- Base-36: BLP9ETY5HXC
Squares and roots of 42421767241728000
- 42421767241728000 squared (424217672417280002) is 1799606335911346845184425984000000
- 42421767241728000 cubed (424217672417280003) is 76342481108770128889776841314734652260352000000000
-
The
square root of 42421767241728000 is 205965451.5731412659 -
The
cube root of 42421767241728000 is 348762.3421791641
Scales and comparisons
How big is 42421767241728000?- 42,421,767,241,728,000 seconds is equal to 1,348,880,979 years, 7 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,421,767,241,728,000 would take you about four billion, forty-six million, six hundred forty-two thousand, nine hundred thirty-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 42421767241728000 cubic inches would be around 29063.5 feet tall.
Recreational maths with 42421767241728000
- 42421767241728000 backwards is 00082714276712424
- The number of decimal digits it has is: 17
- The sum of 42421767241728000's digits is 57
- More coming soon!
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Cite this page
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"Number 42421767241728000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 42421767241728000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/42421767241728000/
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The information we have on file for 42421767241728000 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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