42342710073664
42,342,710,073,664 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42342710073664 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1792 divisors.
42342710073664 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 42342710073664:
26 × 7 × 11 × 13 × 17 × 29 × 31 × 59 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 17 × 29 × 31 × 59 × 733)See below for interesting mathematical facts about the number 42342710073664 from the Numbermatics database.
Names of 42342710073664
- Cardinal: 42342710073664 can be written as Forty-two trillion, three hundred forty-two billion, seven hundred ten million, seventy-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2342710073664 × 1013
Factors of 42342710073664
Divisors of 42342710073664
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 29 31 32 34 44 52 56 58 59 62 64 68 77 88 91 104 112 116 118 119 124 136 143 154 176 182 187 203 208 217 221 224 232 236 238 248 272 286 308 319 341 352 364 374 377 403 406 413 416 434 442 448 464 472 476 493 496 527 544 572 616 638 649 682 704 728 733 748 754 767 806 812 826 832 868 884 899 928 944 952 986 992 1001 1003 1054 1088 1144 1232 1276 1298 1309 1364 1456 1466 1496 1508 1534 1547 1612 1624 1652 1711 1736 1768 1798 1829 1856 1888 1904 1972 1984 2002 2006 2108 2233 2288 2387 2431 2464 2552 2596 2618 2639 2728 2821 2912 2932 2992 3016 3068 3094 3224 3248 3304 3422 3451 3472 3536 3596 3658 3689 3776 3808 3944 4004 4012 4147 4216 4433 4466 4543 4576 4774 4862 4928 5104 5131 5192 5236 5278 5369 5423 5456 5642 5797 5824 5864 5984 6032 6136 6188 6293 6409 6448 6496 6608 6844 6851 6902 6944 7021 7072 7192 7316 7378 7616 7888 8008 8024 8063 8294 8432 8437 8866 8932 9086 9152 9529 9548 9724 9889 10208 10262 10384 10472 10556 10738 10846 10912 11033 11284 11594 11687 11728 11968 11977 12064 12272 12376 12461 12586 12803 12818 12896 12992 13039 13216 13688 13702 13804 13888 14042 14144 14384 14632 14756 15283 15776 16016 16048 16126 16588 16864 16874 17017 17732 17864 18172 18821 19058 19096 19448 19778 20119 20416 20524 20768 20944 21112 21257 21476 21692 21824 22066 22243 22568 22723 23188 23374 23456 23777 23954 24128 24544 24752 24922 25172 25606 25636 25792 26078 26432 27376 27404 27608 28084 28768 29029 29087 29264 29512 30566 31031 31093 31552 32032 32096 32252 33176 33728 33748 34034 35464 35728 36344 37642 37961 38116 38192 38896 39556 40238 40579 41048 41536 41888 42224 42514 42952 43247 43384 44132 44486 44863 45136 45446 46376 46748 46912 47554 47908 47957 49088 49504 49844 50344 51212 51272 52156 53041 54752 54808 55216 56168 56441 57536 58058 58174 58528 59024 59059 61132 62062 62186 64064 64192 64504 66352 66703 67496 68068 69223 70499 70928 71456 72688 75284 75361 75922 76232 76384 77231 77792 79112 80476 81158 81809 82096 83776 84448 85028 85904 86494 86768 87227 88264 88972 89726 90272 90892 91273 92752 93496 95108 95816 95914 99008 99688 100688 102424 102544 104312 104819 106082 106981 109504 109616 110432 112336 112882 116116 116348 117056 118048 118118 122264 124124 124372 128557 129008 131747 132704 133406 134992 136136 137071 138446 140833 140998 141856 142912 143429 145376 148799 150568 150722 151844 152464 152768 154462 155584 155701 158224 159061 160952 161993 162316 163618 164192 166439 168113 168896 170056 171808 172988 173536 174454 176528 177944 179452 180544 181784 182546 185504 186992 190216 191632 191828 198679 199376 201376 203609 204848 205088 208624 209638 212164 213962 217651 219232 220864 224672 225764 232232 232696 233827 236096 236236 244528 244673 248248 248744 249953 257114 258016 261547 263494 265408 266812 269984 272272 274142 276341 276892 281666 281996 283712 286858 290752 295399 297598 301136 301444 302729 303688 304928 308924 311402 316448 318122 319957 321904 323986 324632 327236 328384 332878 336226 340112 342023 343616 345976 347072 348908 353056 355888 358904 361369 363568 365092 371008 371287 373984 378131 380432 383264 383656 386291 397358 398752 402752 404209 407218 409696 410176 417248 419276 424328 427924 435302 438464 449344 451528 464464 465392 467654 472472 475717 489056 489346 493493 496496 497488 499906 514228 516032 523094 526988 527527 533624 539968 544544 548284 552682 553784 562211 563332 563992 573716 583451 590798 595196 602272 602888 605458 607376 609856 617848 622804 632896 636244 639914 643808 647972 649264 654472 658967 665756 672452 680224 684046 689533 691952 697816 706112 711776 717808 722738 727136 730184 733733 735199 742574 747968 756262 760864 766528 767312 772582 794716 797504 808418 814436 819392 834496 838552 848656 855848 870604 899899 901697 903056 928928 930784 935308 944944 951434 959497 978112 978692 986986 992992 994976 999812 1004003 1028456 1046188 1053976 1055054 1067248 1089088 1096568 1105364 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975998296 979090112 985814632 995970976 1002811436 1010855378 1019421949 1031541368 1043463616 1052306528 1070449744 1088613484 1108680092 1110890704 1115426624 1124879392 1165053656 1185140788 1193963176 1244129696 1254673168 1255417163 1276305464 1312870832 1319251934 1321887802 1341997657 1361808448 1364529344 1385287904 1434762472 1446921476 1455726272 1458634816 1471868398 1507716496 1533711608 1545128816 1546709164 1601948777 1623694688 1641699367 1651689424 1653624544 1682135312 1699009312 1710678332 1725175606 1754920013 1767667616 1780826432 1805197394 1811530336 1826061328 1863429568 1876227848 1903642048 1918911904 1940190161 1951996592 1971629264 1991941952 2005622872 2021710756 2038843898 2063082736 2073996379 2104613056 2140899488 2177226968 2217360184 2221781408 2249758784 2330107312 2370281576 2387926352 2488259392 2509346336 2510834326 2552610928 2625741664 2638503868 2643775604 2683995314 2770575808 2869524944 2893842952 2943736796 2993687081 3015432992 3048870253 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11575371808 11774947184 11974748324 12195481012 12269692864 12373673312 12815590216 13036548668 13133594936 13685426656 13801404848 14039360104 14151975292 14441579152 14540765822 15009822784 15521521288 16044982976 16173686048 16310751184 16591971032 17184541426 17417815744 17738881472 18506429228 18962252608 20086674608 21108030944 21150204832 21342091771 21471962512 22238818316 22427282878 22813960169 23150743616 23549894368 23949496648 24390962024 24747346624 25631180432 26073097336 26267189872 27370853312 27602809696 28078720208 28303950584 28883158304 29081531644 31043042576 32347372096 32621502368 33183942064 34369082852 37012858456 38917932053 40173349216 42216061888 42300409664 42684183542 42943925024 44477636632 44854565756 45627920338 47099788736 47898993296 48781924048 50892680377 51262360864 52146194672 52534379744 55205619392 56157440416 56607901168 57766316608 58163063288 60145894991 62086085152 65243004736 66367884128 68738165704 74025716912 77835864106 80346698432 85368367084 85887850048 88955273264 89709131512 91255840676 94514977843 95797986592 97563848096 101785360754 102524721728 104292389344 105068759488 112314880832 113215802336 116326126576 120291789982 124172170304 132735768256 137476331408 148051433824 155671728212 170736734168 177910546528 179418263024 182511681352 189029955686 191595973184 195127696192 203570721508 208584778688 226431604672 232652253152 240583579964 274952662816 296102867648 311343456424 341473468336 355821093056 358836526048 365023362704 378059911372 407141443016 465304506304 481167159928 549905325632 622686912848 661604844901 682946936672 717673052096 730046725408 756119822744 814282886032 962334319856 1245373825696 1323209689802 1365893873344 1460093450816 1512239645488 1628565772064 1924668639712 2490747651392 2646419379604 3024479290976 3257131544128 3849337279424 5292838759208 6048958581952 10585677518416 21171355036832 42342710073664
- Sum of all divisors σ(n): 129895479705600
- Sum of proper divisors (its aliquot sum) s(n): 87552769631936
- 42342710073664 is an abundant number, because the sum of its proper divisors (87552769631936) is greater than itself. Its abundance is 45210059558272
Bases of 42342710073664
- Binary: 10011010000010101011100011000101011001010000002
- Hexadecimal: 0x2682AE315940
- Base-36: F0BZ0BKN4
Squares and roots of 42342710073664
- 42342710073664 squared (423427100736642) is 1792905096382366784306384896
- 42342710073664 cubed (423427100736643) is 75916460685713166881428473598853696978944
-
The
square root of 42342710073664 is 6507127.6361897191 -
The
cube root of 42342710073664 is 34854.5556391517
Scales and comparisons
How big is 42342710073664?- 42,342,710,073,664 seconds is equal to 1,346,367 years, 10 weeks, 4 days, 21 hours, 21 minutes, 4 seconds.
-
To count from 1 to 42,342,710,073,664 would take you about three million, three hundred sixty-five thousand, nine hundred eighteen 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 42342710073664 cubic inches would be around 2904.5 feet tall.
Recreational maths with 42342710073664
- 42342710073664 backwards is 46637001724324
- The number of decimal digits it has is: 14
- The sum of 42342710073664's digits is 49
- More coming soon!
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"Number 42342710073664 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 42342710073664 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42342710073664/
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The information we have on file for 42342710073664 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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