42142138521600
42,142,138,521,600 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42142138521600 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
42142138521600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42142138521600:
211 × 3 × 52 × 132 × 17 × 29 × 37 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 17 × 29 × 37 × 89)See below for interesting mathematical facts about the number 42142138521600 from the Numbermatics database.
Names of 42142138521600
- Cardinal: 42142138521600 can be written as Forty-two trillion, one hundred forty-two billion, one hundred thirty-eight million, five hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.21421385216 × 1013
Factors of 42142138521600
Divisors of 42142138521600
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 29 30 32 34 37 39 40 48 50 51 52 58 60 64 65 68 74 75 78 80 85 87 89 96 100 102 104 111 116 120 128 130 136 145 148 150 156 160 169 170 174 178 185 192 195 200 204 208 221 222 232 240 255 256 260 267 272 290 296 300 312 320 325 338 340 348 356 370 377 384 390 400 408 416 425 435 442 444 445 464 480 481 493 507 510 512 520 534 544 555 580 592 600 624 629 640 650 663 676 680 696 712 725 740 754 768 780 800 816 832 845 850 870 884 888 890 925 928 960 962 975 986 1014 1020 1024 1040 1068 1073 1088 1105 1110 1131 1157 1160 1184 1200 1248 1258 1275 1280 1300 1326 1335 1352 1360 1392 1424 1443 1450 1479 1480 1508 1513 1536 1560 1600 1632 1664 1690 1700 1740 1768 1776 1780 1850 1856 1885 1887 1920 1924 1950 1972 2028 2040 2048 2080 2136 2146 2175 2176 2210 2220 2225 2262 2314 2320 2368 2400 2405 2465 2496 2516 2535 2550 2560 2581 2600 2652 2670 2704 2720 2775 2784 2848 2873 2886 2900 2958 2960 3016 3026 3072 3120 3145 3200 3219 3264 3293 3315 3328 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43806796800 43898060960 45411787200 45559068672 47350717440 47457363200 47672102400 48439239680 49578986496 49872353280 50651608800 51644777600 52677673152 54028382720 54872576200 55891430400 56948835840 58127087616 59188396800 60549049600 61973733120 62340441600 63562803200 64834059264 65847091440 66998630400 67535478400 70236897536 71186044800 72658859520 75931781120 77467166400 78917862400 81042574080 82308864300 82631644160 83120588800 85481011200 87613593600 87796121920 90823574400 94701434880 94914726400 95344204800 96878479360 99157972992 101303217600 103289555200 105355346304 108056765440 109745152400 111782860800 113897671680 118376793600 121098099200 123947466240 124680883200 129668118528 131694182880 135070956800 140473795072 142372089600 145317719040 154934332800 157835724800 162085148160 164617728600 165263288320 175592243840 181647148800 189829452800 190688409600 202606435200 206579110400 210710692608 216113530880 219490304800 227795343360 236753587200 242196198400 247894932480 249361766400 263388365760 270141913600 280947590144 284744179200 290635438080 309868665600 324170296320 329235457200 351184487680 363294297600 379658905600 405212870400 413158220800 421421385216 438980609600 473507174400 484392396800 495789864960 526776731520 540283827200 561895180288 569488358400 619737331200 648340592640 658470914400 702368975360 726588595200 810425740800 826316441600 842842770432 877961219200 1053553463040 1080567654400 1138976716800 1239474662400 1316941828800 1404737950720 1453177190400 1620851481600 1685685540864 1755922438400 2107106926080 2478949324800 2633883657600 2809475901440 3241702963200 3511844876800 4214213852160 5267767315200 7023689753600 8428427704320 10535534630400 14047379507200 21071069260800 42142138521600
- Sum of all divisors σ(n): 171611563032000
- Sum of proper divisors (its aliquot sum) s(n): 129469424510400
- 42142138521600 is an abundant number, because the sum of its proper divisors (129469424510400) is greater than itself. Its abundance is 87327285988800
Bases of 42142138521600
- Binary: 10011001010011111110110011001001011000000000002
- Hexadecimal: 0x2653FB325800
- Base-36: EXRTX74LC
Squares and roots of 42142138521600
- 42142138521600 squared (421421385216002) is 1775959839173722633666560000
- 42142138521600 cubed (421421385216003) is 74842745551257477314713343225757696000000
-
The
square root of 42142138521600 is 6491697.6609820639 -
The
cube root of 42142138521600 is 34799.4347800919
Scales and comparisons
How big is 42142138521600?- 42,142,138,521,600 seconds is equal to 1,339,989 years, 33 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 42,142,138,521,600 would take you about three million, three hundred forty-nine thousand, nine hundred seventy-four 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 42142138521600 cubic inches would be around 2900 feet tall.
Recreational maths with 42142138521600
- 42142138521600 backwards is 00612583124124
- 42142138521600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42142138521600's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 42142138521600 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 42142138521600 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/42142138521600/
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Numbermatics. 2024. "Number 42142138521600 - Facts about the integer". https://numbermatics.com/n/42142138521600/
The information we have on file for 42142138521600 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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