42396920947584
42,396,920,947,584 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42396920947584 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
42396920947584 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 42396920947584:
27 × 33 × 7 × 29 × 41 × 61 × 73 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 41 × 61 × 73 × 331)See below for interesting mathematical facts about the number 42396920947584 from the Numbermatics database.
Names of 42396920947584
- Cardinal: 42396920947584 can be written as Forty-two trillion, three hundred ninety-six billion, nine hundred twenty million, nine hundred forty-seven thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 4.2396920947584 × 1013
Factors of 42396920947584
Divisors of 42396920947584
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 41 42 48 54 56 58 61 63 64 72 73 82 84 87 96 108 112 116 122 123 126 128 144 146 164 168 174 183 189 192 203 216 219 224 232 244 246 252 261 287 288 292 328 331 336 348 366 369 378 384 406 427 432 438 448 464 488 492 504 511 522 549 574 576 584 609 656 657 662 672 696 732 738 756 783 812 854 861 864 876 896 928 976 984 993 1008 1022 1044 1098 1107 1148 1152 1168 1189 1218 1281 1312 1314 1324 1344 1392 1464 1476 1512 1533 1566 1624 1647 1708 1722 1728 1752 1769 1827 1856 1952 1968 1971 1986 2016 2044 2088 2117 2196 2214 2296 2317 2336 2378 2436 2501 2562 2583 2624 2628 2648 2688 2784 2928 2952 2979 2993 3024 3066 3132 3248 3294 3416 3444 3456 3504 3538 3567 3654 3712 3843 3904 3936 3942 3972 4032 4088 4176 4234 4392 4428 4453 4592 4599 4634 4672 4756 4872 5002 5124 5166 5248 5256 5296 5307 5481 5568 5856 5904 5958 5986 6048 6132 6264 6351 6496 6588 6832 6888 6951 7008 7076 7134 7308 7503 7686 7749 7808 7872 7884 7944 8064 8176 8323 8352 8468 8784 8856 8906 8937 8979 9184 9198 9268 9344 9512 9599 9744 10004 10248 10332 10512 10592 10614 10701 10962 11136 11529 11712 11808 11916 11972 12096 12264 12383 12528 12702 12992 13176 13359 13571 13664 13776 13797 13902 14016 14152 14268 14616 14819 15006 15372 15498 15744 15768 15888 15921 16352 16646 16704 16936 17507 17568 17712 17812 17874 17958 18368 18396 18536 19024 19053 19198 19488 20008 20191 20496 20664 20853 20951 21024 21184 21228 21402 21924 22509 23058 23424 23616 23832 23944 24163 24192 24528 24766 24969 25056 25404 25984 26352 26718 26937 27142 27328 27552 27594 27804 28032 28304 28536 28797 29232 29638 30012 30744 30996 31171 31536 31776 31842 32103 32704 33292 33408 33872 35014 35136 35424 35624 35748 35916 36736 36792 37072 37149 38048 38106 38396 38976 40016 40077 40382 40713 40992 41328 41706 41902 42048 42368 42456 42804 43848 44457 45018 46116 47232 47664 47763 47888 48326 49056 49532 49938 50112 50808 52521 52704 53436 53874 54284 54656 55104 55188 55608 56608 57072 57159 57594 58464 59276 60024 60573 61488 61992 62342 62559 62853 63072 63552 63684 64206 65408 66584 67193 67527 67744 70028 70272 70848 71248 71496 71832 72489 72529 73584 74144 74298 74907 76096 76212 76792 77952 80032 80154 80764 80811 81426 81984 82656 83412 83804 84096 84912 85608 86391 86797 87696 88914 90036 92232 93513 94997 95328 95526 95776 96652 98112 99064 99876 100224 101616 105042 105408 106872 107748 108568 110208 110376 111216 111447 113216 114144 114318 115188 116928 118552 120048 120231 121146 122139 122976 123984 124684 125118 125706 126144 127104 127368 128412 129137 133168 133371 134386 135054 135488 140056 141337 141696 142496 142992 143664 144978 145058 147168 148288 148596 149814 152192 152424 153584 157563 160064 160308 161528 161622 162852 163968 165312 166824 167608 169141 169824 171216 172782 173594 175392 177828 180072 181719 182573 184464 187026 188559 189994 190656 191052 191552 193304 196224 198128 199752 201579 203232 210084 210816 213744 215496 217136 217467 217587 220752 222432 222894 224721 226432 228288 228636 230376 233856 237104 240096 240462 242292 244278 245952 247968 249368 250236 251412 252288 254736 256824 258274 259173 260391 266336 266742 268772 270108 270976 280112 280539 282674 284991 284992 285984 287328 289956 290116 294336 296576 297192 299628 304848 307168 315126 320128 320616 323056 323244 325704 330624 333648 334341 335216 338282 339648 342432 345564 347188 350784 355656 360144 363438 365146 366417 368928 374052 377118 379988 381312 382104 383104 386608 387411 393559 396256 399504 400113 403158 406464 420168 424011 427488 430992 434272 434934 435174 441504 444864 445788 449442 456576 457272 460752 472689 474208 480192 480924 484584 488556 491904 495936 498736 500472 502824 507423 507703 509472 513648 516548 518346 520782 532672 533484 537544 540216 545157 547719 560224 561078 565348 565677 569982 569984 571968 574656 579912 580232 585539 588672 594384 599256 604737 607579 609696 614336 630252 641232 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14020145816 14165359488 14231930496 14362100592 14479822728 15228779076 15772664043 16010921808 16132770528 16157363166 16413829248 16548368832 16951987584 17404318944 17828814528 18149366844 18298196352 18465557904 19149467456 19306430304 20026887552 20305038768 20742133536 21030218724 21347895744 21510360704 21543150888 21719734092 22843168614 23205758592 23966603136 24199155792 24535255178 24620743872 24822553248 25741907072 26106478416 27073385024 27656178048 28040291632 28724201184 28959645456 30457558152 31545328086 32021843616 32265541056 32314726332 33096737664 34808637888 35657629056 36298733688 36802882767 36931115808 38298934912 38612860608 40610077536 41484267072 42060437448 42695791488 43086301776 43439468184 45686337228 47317992129 48398311584 49070510356 49241487744 49645106496 52212956832 54146770048 56080583264 57448402368 57919290912 60915116304 63090656172 64043687232 64531082112 64629452664 69617275776 72597467376 73605765534 73862231616 77225721216 81220155072 82968534144 84120874896 86172603552 86878936368 91372674456 94635984258 96796623168 98141020712 99290212992 104425913664 110408648301 112161166528 114896804736 115838581824 121830232608 126181312344 128087374464 129258905328 145194934752 147211531068 147724463232 162440310144 168241749792 172345207104 173757872736 182745348912 189271968516 193593246336 196282041424 208851827328 220817296602 224322333056 231677163648 243660465216 252362624688 258517810656 290389869504 294423062136 331225944903 336483499584 344690414208 347515745472 365490697824 378543937032 392564082848 441634593204 487320930432 504725249376 517035621312 580779739008 588846124272 662451889806 672966999168 695031490944 730981395648 757087874064 785128165696 883269186408 1009450498752 1034071242624 1177692248544 1324903779612 1461962791296 1514175748128 1570256331392 1766538372816 2018900997504 2355384497088 2649807559224 3028351496256 3533076745632 4710768994176 5299615118448 6056702992512 7066153491264 10599230236896 14132306982528 21198460473792 42396920947584
- Sum of all divisors σ(n): 156610976256000
- Sum of proper divisors (its aliquot sum) s(n): 114214055308416
- 42396920947584 is an abundant number, because the sum of its proper divisors (114214055308416) is greater than itself. Its abundance is 71817134360832
Bases of 42396920947584
- Binary: 10011010001111010011010110100110100011100000002
- Hexadecimal: 0x268F4D69A380
- Base-36: F10VK2QO0
Squares and roots of 42396920947584
- 42396920947584 squared (423969209475842) is 1797498905835686980475437056
- 42396920947584 cubed (423969209475843) is 76208419014084357243662278535104067272704
-
The
square root of 42396920947584 is 6511291.8032894209 -
The
cube root of 42396920947584 is 34869.4239216697
Scales and comparisons
How big is 42396920947584?- 42,396,920,947,584 seconds is equal to 1,348,090 years, 49 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 42,396,920,947,584 would take you about three million, three hundred seventy thousand, two hundred twenty-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 42396920947584 cubic inches would be around 2905.8 feet tall.
Recreational maths with 42396920947584
- 42396920947584 backwards is 48574902969324
- 42396920947584 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42396920947584's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 42396920947584 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 42396920947584 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42396920947584/
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Numbermatics. 2024. "Number 42396920947584 - Facts about the integer". https://numbermatics.com/n/42396920947584/
The information we have on file for 42396920947584 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 42396920947584, math, Factors of 42396920947584, curriculum, school, college, exams, university, Prime factorization of 42396920947584, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, three hundred ninety-six billion, nine hundred twenty million, nine hundred forty-seven thousand, five hundred eighty-four.