4042090984064000
4,042,090,984,064,000 is an even composite number composed of seven prime numbers multiplied together.
4042090984064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 4042090984064000:
210 × 53 × 72 × 31 × 37 × 612 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 31 × 37 × 61 × 61 × 151)See below for interesting mathematical facts about the number 4042090984064000 from the Numbermatics database.
Names of 4042090984064000
- Cardinal: 4042090984064000 can be written as Four quadrillion, forty-two trillion, ninety billion, nine hundred eighty-four million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.042090984064 × 1015
Factors of 4042090984064000
Divisors of 4042090984064000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 37 40 49 50 56 61 62 64 70 74 80 98 100 112 122 124 125 128 140 148 151 155 160 175 185 196 200 217 224 244 245 248 250 256 259 280 296 302 305 310 320 350 370 392 400 427 434 448 488 490 496 500 512 518 560 592 604 610 620 640 700 740 755 775 784 800 854 868 875 896 925 976 980 992 1000 1024 1036 1057 1085 1120 1147 1184 1208 1220 1225 1240 1280 1295 1400 1480 1510 1519 1525 1550 1568 1600 1708 1736 1750 1792 1813 1850 1891 1952 1960 1984 2000 2072 2114 2135 2170 2240 2257 2294 2368 2416 2440 2450 2480 2560 2590 2800 2960 2989 3020 3038 3050 3100 3136 3200 3416 3472 3500 3584 3626 3700 3721 3775 3782 3875 3904 3920 3968 4000 4144 4228 4270 4340 4480 4514 4588 4625 4681 4736 4832 4880 4900 4960 5120 5180 5285 5425 5587 5600 5735 5920 5978 6040 6076 6100 6125 6200 6272 6400 6475 6832 6944 7000 7168 7252 7399 7400 7442 7550 7564 7595 7625 7750 7808 7840 7936 8000 8029 8288 8456 8540 8680 8960 9028 9065 9176 9211 9250 9362 9455 9472 9664 9760 9800 9920 10360 10570 10675 10850 11174 11200 11285 11470 11840 11956 12080 12152 12200 12250 12400 12544 12800 12950 13237 13664 13888 14000 14504 14798 14800 14884 14945 15100 15128 15190 15250 15500 15616 15680 15799 15872 16000 16058 16576 16912 17080 17360 17920 18056 18130 18352 18422 18500 18605 18724 18875 18910 18944 19328 19520 19600 19840 20720 21140 21350 21700 22348 22400 22570 22940 23405 23680 23912 24160 24304 24400 24500 24800 25088 25600 25900 26047 26425 26474 27125 27328 27776 27935 28000 28675 29008 29596 29600 29768 29890 30200 30256 30380 30500 31000 31232 31360 31598 31744 32000 32116 32375 32767 33152 33824 34160 34720 35840 36112 36260 36704 36844 36995 37000 37210 37448 37750 37820 37888 37975 38656 39040 39109 39200 39680 40145 41440 42280 42700 43400 44696 44800 45140 45325 45880 46055 46810 47275 47360 47824 48320 48608 48800 49000 49600 50176 51800 52094 52850 52948 53375 54250 54656 55552 55870 56000 56203 56425 57350 58016 59192 59200 59536 59780 60400 60512 60760 61000 62000 62464 62720 63196 64000 64232 64477 64750 65534 66185 66304 67648 68320 69440 69967 72224 72520 73408 73688 73990 74000 74420 74725 74896 75500 75640 75950 77312 78080 78218 78400 78995 79360 80290 82880 84560 85400 86800 89392 89600 90280 90650 91760 92110 92659 93025 93620 94550 94720 95648 96640 97216 97600 98000 99200 103600 104188 105700 105896 106750 108500 109312 110593 111104 111740 112000 112406 112850 114700 115351 116032 117025 118384 118400 119072 119560 120800 121024 121520 122000 124000 125440 126392 128000 128464 128954 129500 130235 131068 132125 132370 132608 135296 136640 137677 138880 139675 139934 143375 144448 145040 146816 147376 147980 148000 148840 149450 149792 151000 151280 151900 154624 156160 156436 156800 157990 158720 160580 163835 165760 169120 170800 173197 173600 178784 179200 180560 181300 182329 183520 184220 184975 185318 186050 187240 189100 189440 189875 191296 193280 194432 195200 195545 196000 198400 200725 207200 208376 211400 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31578835813000 32336727872512 32597507936000 33131893312000 36090098072000 40420909840640 41245826368000 50526137300800 54622851136000 57744156915200 63157671626000 65195015872000 66263786624000 72180196144000 80841819681280 82491652736000 101052274601600 109245702272000 115488313830400 126315343252000 130390031744000 144360392288000 161683639362560 202104549203200 252630686504000 288720784576000 404209098406400 505261373008000 577441569152000 808418196812800 1010522746016000 2021045492032000 4042090984064000
- Sum of all divisors σ(n): 12727139397433344
- Sum of proper divisors (its aliquot sum) s(n): 8685048413369344
- 4042090984064000 is an abundant number, because the sum of its proper divisors (8685048413369344) is greater than itself. Its abundance is 4642957429305344
Bases of 4042090984064000
- Binary: 11100101110001000010101001010100000101000100000000002
- Hexadecimal: 0xE5C42A5414400
- Base-36: 13SSUYO7QWW
Squares and roots of 4042090984064000
- 4042090984064000 squared (40420909840640002) is 16338499523451475901956096000000
- 4042090984064000 cubed (40420909840640003) is 66041701616877171274290898063163654144000000000
-
The
square root of 4042090984064000 is 63577440.8423616875 -
The
cube root of 4042090984064000 is 159294.9574706419
Scales and comparisons
How big is 4042090984064000?- 4,042,090,984,064,000 seconds is equal to 128,525,990 years, 14 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 4,042,090,984,064,000 would take you about three hundred eighty-five million, five hundred seventy-seven thousand, nine hundred seventy 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 4042090984064000 cubic inches would be around 13274.6 feet tall.
Recreational maths with 4042090984064000
- 4042090984064000 backwards is 0004604890902404
- 4042090984064000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4042090984064000's digits is 50
- More coming soon!
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Cite this page
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"Number 4042090984064000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 4042090984064000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/4042090984064000/
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The information we have on file for 4042090984064000 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 4042090984064000, math, Factors of 4042090984064000, curriculum, school, college, exams, university, Prime factorization of 4042090984064000, STEM, science, technology, engineering, physics, economics, calculator, four quadrillion, forty-two trillion, ninety billion, nine hundred eighty-four million, sixty-four thousand.