42097664457072
42,097,664,457,072 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42097664457072 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
42097664457072 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42097664457072:
24 × 32 × 72 × 233 × 29 × 37 × 457
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 23 × 23 × 23 × 29 × 37 × 457)See below for interesting mathematical facts about the number 42097664457072 from the Numbermatics database.
Names of 42097664457072
- Cardinal: 42097664457072 can be written as Forty-two trillion, ninety-seven billion, six hundred sixty-four million, four hundred fifty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 4.2097664457072 × 1013
Factors of 42097664457072
Divisors of 42097664457072
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 29 36 37 42 46 48 49 56 58 63 69 72 74 84 87 92 98 111 112 116 126 138 144 147 148 161 168 174 184 196 203 207 222 232 252 259 261 276 294 296 322 333 336 348 368 392 406 414 441 444 457 464 483 504 518 522 529 552 588 592 609 644 666 667 696 777 784 812 828 851 882 888 914 966 1008 1036 1044 1058 1073 1104 1127 1176 1218 1288 1332 1334 1371 1392 1421 1449 1554 1587 1624 1656 1702 1764 1776 1813 1827 1828 1932 2001 2072 2088 2116 2146 2254 2331 2352 2436 2553 2576 2664 2668 2742 2842 2898 3108 3174 3199 3219 3248 3312 3381 3404 3528 3626 3654 3656 3703 3864 4002 4113 4144 4176 4232 4263 4292 4508 4662 4669 4761 4872 5106 5328 5336 5439 5484 5684 5796 5957 6003 6216 6348 6398 6438 6762 6808 7056 7252 7308 7312 7406 7511 7659 7728 8004 8226 8464 8526 8584 9016 9324 9338 9522 9597 9657 9744 10143 10212 10511 10672 10878 10968 11109 11368 11592 11914 12006 12167 12432 12696 12789 12796 12876 13253 13524 13616 14007 14504 14616 14812 15022 15318 15341 16008 16317 16452 16909 17052 17168 17871 18032 18648 18676 19044 19194 19314 19573 20286 20424 21022 21756 21936 22218 22393 22533 22736 23184 23828 24012 24334 24679 25392 25578 25592 25752 25921 26506 27048 28014 28791 29008 29232 29624 30044 30636 30682 31533 32016 32634 32683 32904 33327 33818 34104 35742 36501 37296 37352 38088 38388 38628 39146 39759 40572 40848 41699 42021 42044 43512 44436 44786 45066 46023 47656 48024 48668 49358 50727 51156 51184 51504 51842 52577 53012 53613 54096 56028 57582 58719 59248 60088 61272 61364 63066 65268 65366 65808 66654 67179 67599 67636 68208 71484 73002 73577 74037 74704 76176 76776 77256 77763 78292 79518 81144 83398 84042 84088 85169 87024 88872 89572 90132 92046 92771 94599 95312 96048 97336 98049 98716 101454 102312 103684 105154 106024 107226 107387 109503 112056 115164 117438 118363 119277 120176 122544 122728 125097 126132 130536 130732 133308 134358 135198 135272 137011 138069 142968 146004 147154 148074 152181 153552 154512 155526 156584 157731 159036 162288 166796 168084 168176 170338 172753 176157 177744 179144 180264 184092 185542 189198 194672 196098 197432 201537 202908 204624 207368 210308 212048 214452 214774 219006 220731 222111 224112 230328 233289 234876 236726 238554 241753 245456 250194 252264 255507 261072 261464 266616 268716 270396 270544 274022 276138 278313 285936 292008 294147 294308 296148 304362 304819 311052 313168 315462 318072 322161 333592 336168 340676 345506 352314 352843 355089 358288 360528 368184 371084 375291 378396 388907 392196 394864 403074 405816 411033 414736 420616 428904 429548 438012 441462 444222 450179 460656 466578 469752 473193 473452 477108 483506 490361 500388 504528 511014 515039 518259 522928 533232 537432 540792 548044 552276 556626 567617 584016 588294 588616 592296 596183 608724 609638 622104 630924 636144 644322 649397 662193 667184 672336 681352 691012 704628 705686 710178 725259 736368 742168 750582 751709 756792 766521 777814 784392 806148 811632 822066 828541 834939 841232 857808 859096 876024 882924 888444 900358 914457 933156 939504 946386 946904 954216 959077 966483 967012 980722 1000776 1022028 1030078 1036518 1058529 1065267 1074864 1081584 1096088 1104552 1113252 1135234 1166721 1176588 1177232 1184592 1192366 1209271 1217448 1219276 1233099 1244208 1261848 1288644 1298794 1324386 1350537 1362704 1382024 1409256 1411372 1420356 1450518 1471083 1484336 1501164 1503418 1513584 1533042 1545117 1554777 1555628 1568784 1612296 1644132 1657082 1669878 1692271 1702851 1718192 1752048 1765848 1776888 1788549 1800716 1828914 1866312 1892772 1893808 1908432 1918154 1932966 1934024 1948191 1961444 2001552 2044056 2060156 2073036 2117058 2130534 2133733 2175777 2192176 2209104 2226504 2255127 2270468 2333442 2353176 2384732 2418542 2434896 2438552 2466198 2469901 2485623 2523696 2577288 2597588 2648772 2701074 2722349 2743371 2764048 2818512 2822744 2840712 2877231 2901036 2942166 3002328 3006836 3066084 3090234 3109554 3111256 3151253 3175587 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8842189552 9016419888 9029958056 9338434884 9808402716 9875126544 9947463246 10080858347 10158702813 10235269744 10519156536 10894840698 11368529424 11514678462 11520980968 11609946072 11932444574 12367116468 12451246512 12710647481 12961103589 13077870288 13159632528 13263284328 13544937084 14526454264 14812689816 15352904616 15778734804 15802426598 16342261047 16489488624 17281471452 17898666861 18059916112 18676869768 19616805432 19894926492 20161716694 20317405626 21038313072 21789681396 23029356924 23041961936 23219892144 23703639897 23864889148 24734232936 25421294962 25922207178 26526568656 27089874168 29052908528 29625379632 30242575041 30705809232 31557469608 31604853196 32684522094 34562942904 35797333722 37353739536 38131942443 39233610864 39789852984 40323433388 40634811252 41763556009 43579362792 46058713848 47407279794 47729778296 49468465872 50842589924 51844414356 53696000583 54179748336 60485150082 63114939216 63209706392 65369044188 69125885808 71110919691 71594667444 76263884886 79579705968 80646866776 81269622504 83527112018 87158725584 90727725123 92117427696 94814559588 95459556592 101685179848 103688828712 107392001166 114395827329 120970300164 125290668027 126419412784 130738088376 142221839382 143189334888 152527769772 161293733552 162539245008 167054224036 181455450246 189629119176 203370359696 207377657424 214784002332 228791654658 241940600328 250581336054 261476176752 284443678764 286378669776 292344892063 305055539544 334108448072 362910900492 375872004081 379258238352 429568004664 457583309316 483881200656 501162672108 568887357528 584689784126 610111079088 668216896144 725821800984 751744008162 859136009328 877034676189 915166618632 1002325344216 1137774715056 1169379568252 1451643601968 1503488016324 1754069352378 1830333237264 2004650688432 2338759136504 2631104028567 3006976032648 3508138704756 4677518273008 5262208057134 6013952065296 7016277409512 10524416114268 14032554819024 21048832228536 42097664457072
- Sum of all divisors σ(n): 152558827574400
- Sum of proper divisors (its aliquot sum) s(n): 110461163117328
- 42097664457072 is an abundant number, because the sum of its proper divisors (110461163117328) is greater than itself. Its abundance is 68363498660256
Bases of 42097664457072
- Binary: 10011001001001101000000101010111111001011100002
- Hexadecimal: 0x2649A055F970
- Base-36: EX7EEHKS0
Squares and roots of 42097664457072
- 42097664457072 squared (420976644570722) is 1772213352740223168530813184
- 42097664457072 cubed (420976644570723) is 74606043070000495797504831153518019637248
-
The
square root of 42097664457072 is 6488271.2995891287 -
The
cube root of 42097664457072 is 34787.1887865791
Scales and comparisons
How big is 42097664457072?- 42,097,664,457,072 seconds is equal to 1,338,575 years, 26 weeks, 4 days, 18 hours, 31 minutes, 12 seconds.
-
To count from 1 to 42,097,664,457,072 would take you about three million, three hundred forty-six thousand, four hundred thirty-eight 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 42097664457072 cubic inches would be around 2898.9 feet tall.
Recreational maths with 42097664457072
- 42097664457072 backwards is 27075446679024
- 42097664457072 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42097664457072's digits is 63
- More coming soon!
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"Number 42097664457072 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 42097664457072 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42097664457072/
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The information we have on file for 42097664457072 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 42097664457072, math, Factors of 42097664457072, curriculum, school, college, exams, university, Prime factorization of 42097664457072, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, ninety-seven billion, six hundred sixty-four million, four hundred fifty-seven thousand and seventy-two.