42388639314944000
42,388,639,314,944,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42388639314944000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3584 divisors.
42388639314944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 42388639314944000:
213 × 53 × 133 × 193 × 41 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 19 × 41 × 67)See below for interesting mathematical facts about the number 42388639314944000 from the Numbermatics database.
Names of 42388639314944000
- Cardinal: 42388639314944000 can be written as Forty-two quadrillion, three hundred eighty-eight trillion, six hundred thirty-nine billion, three hundred fourteen million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2388639314944 × 1016
Factors of 42388639314944000
Divisors of 42388639314944000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 41 50 52 64 65 67 76 80 82 95 100 104 125 128 130 134 152 160 164 169 190 200 205 208 247 250 256 260 268 304 320 325 328 335 338 361 380 400 410 416 475 494 500 512 520 533 536 608 640 650 656 670 676 722 760 779 800 820 832 845 871 950 988 1000 1024 1025 1040 1066 1072 1216 1235 1273 1280 1300 1312 1340 1352 1444 1520 1558 1600 1625 1640 1664 1675 1690 1742 1805 1900 1976 2000 2048 2050 2080 2132 2144 2197 2375 2432 2470 2546 2560 2600 2624 2665 2680 2704 2747 2888 3040 3116 3200 3211 3250 3280 3328 3350 3380 3484 3610 3800 3895 3952 4000 4096 4100 4160 4225 4264 4288 4355 4394 4693 4750 4864 4940 5092 5120 5125 5200 5248 5330 5360 5408 5494 5776 6080 6175 6232 6365 6400 6422 6500 6560 6656 6700 6760 6859 6929 6968 7220 7600 7790 7904 8000 8192 8200 8320 8375 8450 8528 8576 8710 8788 9025 9386 9500 9728 9880 10127 10184 10240 10250 10400 10496 10660 10720 10816 10985 10988 11323 11552 12160 12350 12464 12730 12800 12844 13000 13120 13312 13325 13400 13520 13718 13735 13858 13936 14440 14801 15200 15580 15808 16000 16055 16400 16549 16640 16750 16900 17056 17152 17420 17576 18050 18772 19000 19456 19475 19760 20254 20368 20480 20500 20800 20992 21125 21320 21440 21632 21775 21970 21976 22646 23104 23465 24187 24320 24700 24928 25460 25600 25688 26000 26240 26624 26650 26800 27040 27436 27470 27716 27872 28880 29602 30400 30875 31160 31616 31825 32000 32110 32800 33098 33280 33500 33800 34112 34295 34304 34645 34840 35152 35711 36100 37544 38000 38912 38950 39520 40508 40736 40960 41000 41600 41743 41984 42250 42640 42880 43264 43550 43940 43952 45125 45292 46208 46930 48374 48640 49400 49856 50635 50920 51200 51376 52000 52193 52480 53248 53300 53600 54080 54872 54925 54940 55432 55744 56615 57760 59204 60800 61009 61750 62320 63232 63650 64000 64220 65600 66196 66560 66625 67000 67600 68224 68590 68608 68675 69290 69680 70304 71422 72200 74005 75088 76000 77824 77900 79040 80275 81016 81472 82000 82745 83200 83486 83968 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1059715982873600 1115490508288000 1324644978592000 1630332281344000 1695545572597760 2119431965747200 2230981016576000 2649289957184000 3260664562688000 4238863931494400 5298579914368000 8477727862988800 10597159828736000 21194319657472000 42388639314944000
- Sum of all divisors σ(n): 125774255701785600
- Sum of proper divisors (its aliquot sum) s(n): 83385616386841600
- 42388639314944000 is an abundant number, because the sum of its proper divisors (83385616386841600) is greater than itself. Its abundance is 40996977071897600
Bases of 42388639314944000
- Binary: 100101101001100000111110001011001110000100100000000000002
- Hexadecimal: 0x96983E2CE12000
- Base-36: BLDIO2LVSOW
Squares and roots of 42388639314944000
- 42388639314944000 squared (423886393149440002) is 1796796742972416141621723136000000
- 42388639314944000 cubed (423886393149440003) is 76163769060123888203680725876763875344384000000000
-
The
square root of 42388639314944000 is 205885014.7896733157 -
The
cube root of 42388639314944000 is 348671.5335926719
Scales and comparisons
How big is 42388639314944000?- 42,388,639,314,944,000 seconds is equal to 1,347,827,613 years, 28 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 42,388,639,314,944,000 would take you about four billion, forty-three million, four hundred eighty-two thousand, eight hundred forty 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 42388639314944000 cubic inches would be around 29056 feet tall.
Recreational maths with 42388639314944000
- 42388639314944000 backwards is 00044941393688324
- The number of decimal digits it has is: 17
- The sum of 42388639314944000's digits is 68
- More coming soon!
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"Number 42388639314944000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 42388639314944000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/42388639314944000/
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Numbermatics. 2024. "Number 42388639314944000 - Facts about the integer". https://numbermatics.com/n/42388639314944000/
The information we have on file for 42388639314944000 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 42388639314944000, math, Factors of 42388639314944000, curriculum, school, college, exams, university, Prime factorization of 42388639314944000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, three hundred eighty-eight trillion, six hundred thirty-nine billion, three hundred fourteen million, nine hundred forty-four thousand.