42093424348416
42,093,424,348,416 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42093424348416 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
42093424348416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42093424348416:
28 × 35 × 7 × 31 × 43 × 127 × 571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 31 × 43 × 127 × 571)See below for interesting mathematical facts about the number 42093424348416 from the Numbermatics database.
Names of 42093424348416
- Cardinal: 42093424348416 can be written as Forty-two trillion, ninety-three billion, four hundred twenty-four million, three hundred forty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2093424348416 × 1013
Factors of 42093424348416
Divisors of 42093424348416
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 43 48 54 56 62 63 64 72 81 84 86 93 96 108 112 124 126 127 128 129 144 162 168 172 186 189 192 216 217 224 243 248 252 254 256 258 279 288 301 324 336 344 372 378 381 384 387 432 434 448 486 496 504 508 516 558 567 571 576 602 648 651 672 688 744 756 762 768 774 837 864 868 889 896 903 972 992 1008 1016 1032 1116 1134 1142 1143 1152 1161 1204 1296 1302 1333 1344 1376 1488 1512 1524 1548 1674 1701 1713 1728 1736 1778 1792 1806 1944 1953 1984 2016 2032 2064 2232 2268 2284 2286 2304 2322 2408 2511 2592 2604 2666 2667 2688 2709 2752 2976 3024 3048 3096 3348 3402 3426 3429 3456 3472 3483 3556 3612 3888 3906 3937 3968 3997 3999 4032 4064 4128 4464 4536 4568 4572 4644 4816 5022 5139 5184 5208 5332 5334 5376 5418 5461 5504 5859 5952 6048 6096 6192 6696 6804 6852 6858 6912 6944 6966 7112 7224 7533 7776 7812 7874 7936 7994 7998 8001 8064 8127 8128 8256 8928 9072 9136 9144 9288 9331 9632 10044 10278 10287 10368 10416 10449 10664 10668 10836 10922 11008 11718 11811 11904 11991 11997 12096 12192 12384 13392 13608 13704 13716 13888 13932 14224 14448 15066 15417 15552 15624 15748 15988 15996 16002 16128 16254 16256 16383 16512 17577 17701 17856 18144 18272 18288 18576 18662 19264 20088 20556 20574 20736 20832 20898 21328 21336 21672 21844 23436 23622 23808 23982 23994 24003 24192 24381 24384 24553 24768 26784 27216 27408 27432 27559 27776 27864 27993 28448 28896 30132 30834 30861 31104 31248 31496 31976 31992 32004 32508 32512 32766 33024 35154 35402 35433 35712 35973 35991 36288 36544 36576 37152 37324 38227 38528 40176 41112 41148 41664 41796 42656 42672 43344 43688 46251 46872 47244 47964 47988 48006 48384 48762 48768 49106 49149 49536 52731 53103 53568 54432 54816 54864 55118 55552 55728 55986 56896 57792 60264 61668 61722 62208 62496 62992 63952 63984 64008 65016 65532 70308 70804 70866 71424 71946 71982 72009 72517 72576 73088 73143 73152 73659 74304 74648 76454 77056 80352 82224 82296 82677 83328 83592 83979 85312 85344 86688 87376 92502 93744 94488 95928 95976 96012 97524 97536 98212 98298 99072 105462 106206 106299 107136 107919 107973 108864 109632 109728 110236 111456 111972 113792 114681 115584 120528 123336 123444 123907 124992 125984 127904 127968 128016 130032 131064 138753 140616 141608 141732 143892 143964 144018 145034 145152 146176 146286 146304 147318 147447 148608 149296 152908 159309 160704 164448 164592 165354 166656 167184 167958 169291 170624 170688 171871 173376 174752 185004 187488 188976 191856 191952 192024 195048 196424 196596 210924 212412 212598 214272 215838 215946 216027 217551 217728 219264 219456 220472 220977 222912 223944 227584 229362 231168 241056 246672 246888 247814 248031 249984 251937 251968 255808 255936 256032 260064 262128 277506 281232 283216 283464 287784 287928 288036 290068 292572 292608 294636 294894 297216 298592 305816 318618 318897 321408 323757 323919 328896 329184 330708 334368 335916 338582 341248 341376 343742 344043 346752 349504 370008 371721 374976 377952 383712 383904 384048 390096 392848 393192 421848 424824 425196 431676 431892 432054 435102 435456 438528 438912 440944 441954 442341 445824 447888 458724 477927 482112 493344 493776 495628 496062 499968 503874 503936 507619 507873 511616 511872 512064 515613 520128 524256 555012 562464 566432 566928 575568 575856 576072 580136 585144 589272 589788 597184 611632 637236 637794 642816 647514 647838 652653 657792 658368 661416 662931 668736 671832 677164 682752 687484 688086 693504 699008 740016 743442 744093 749952 755811 755904 761143 767424 767808 768096 780192 785696 786384 843696 849648 850392 863352 863784 864108 870204 877824 881888 883908 884682 891648 895776 917448 955854 956691 964224 971271 986688 987552 991256 992124 1007748 1007872 1015238 1015746 1023232 1023744 1024128 1031226 1032129 1040256 1048512 1110024 1115163 1124928 1132864 1133856 1151136 1151712 1152144 1160272 1170288 1178544 1179576 1185037 1194368 1223264 1274472 1275588 1295028 1295676 1305306 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32479494096 34961315904 36256179456 36539430858 36827142912 36859390848 37119421824 37718122176 40788201888 41430535776 41759349552 42432887448 43305992128 46615087872 46979268246 47349183744 48494728512 48719241144 50290829568 54384269184 54809146287 55240714368 55679132736 56577183264 61182302832 62639024328 64659638016 64958988192 69922631808 73078861716 73718781696 74238843648 75436244352 81576403776 82861071552 83518699104 84865774896 86611984256 93958536492 96989457024 97438482288 108768538368 109618292574 110481428736 111358265472 113154366528 122364605664 125278048656 129917976384 139845263616 146157723432 150872488704 163152807552 164427438861 165722143104 167037398208 169731549792 173223968512 187917072984 193978914048 194876964576 219236585148 222716530944 226308733056 244729211328 250556097312 259835952768 292315446864 326305615104 328854877722 331444286208 334074796416 339463099584 375834145968 389753929152 438473170296 452617466112 489458422656 501112194624 519671905536 584630893728 657709755444 668149592832 678926199168 751668291936 779507858304 876946340592 978916845312 1002224389248 1169261787456 1315419510888 1357852398336 1503336583872 1559015716608 1753892681184 2004448778496 2338523574912 2630839021776 3006673167744 3507785362368 4677047149824 5261678043552 6013346335488 7015570724736 10523356087104 14031141449472 21046712174208 42093424348416
- Sum of all divisors σ(n): 153398433284096
- Sum of proper divisors (its aliquot sum) s(n): 111305008935680
- 42093424348416 is an abundant number, because the sum of its proper divisors (111305008935680) is greater than itself. Its abundance is 69211584587264
Bases of 42093424348416
- Binary: 10011001001000101000111001101100001101000000002
- Hexadecimal: 0x2648A39B0D00
- Base-36: EX5GA1C00
Squares and roots of 42093424348416
- 42093424348416 squared (420934243484162) is 1771856373375820954161709056
- 42093424348416 cubed (420934243484163) is 74583502208953852957723417424053766455296
-
The
square root of 42093424348416 is 6487944.5395607383 -
The
cube root of 42093424348416 is 34786.0208166959
Scales and comparisons
How big is 42093424348416?- 42,093,424,348,416 seconds is equal to 1,338,440 years, 35 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,093,424,348,416 would take you about three million, three hundred forty-six thousand, one hundred one 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 42093424348416 cubic inches would be around 2898.8 feet tall.
Recreational maths with 42093424348416
- 42093424348416 backwards is 61484342439024
- 42093424348416 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42093424348416's digits is 54
- More coming soon!
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"Number 42093424348416 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 42093424348416 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/42093424348416/
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The information we have on file for 42093424348416 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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