42432122680640
42,432,122,680,640 is an even composite number composed of six prime numbers multiplied together.
42432122680640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42432122680640:
26 × 5 × 73 × 112 × 293 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 29 × 29 × 29 × 131)See below for interesting mathematical facts about the number 42432122680640 from the Numbermatics database.
Names of 42432122680640
- Cardinal: 42432122680640 can be written as Forty-two trillion, four hundred thirty-two billion, one hundred twenty-two million, six hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.243212268064 × 1013
Factors of 42432122680640
Divisors of 42432122680640
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 29 32 35 40 44 49 55 56 58 64 70 77 80 88 98 110 112 116 121 131 140 145 154 160 176 196 203 220 224 232 242 245 262 280 290 308 319 320 343 352 385 392 406 440 448 464 484 490 524 539 560 580 605 616 638 655 686 704 770 784 812 841 847 880 917 928 968 980 1015 1048 1078 1120 1160 1210 1232 1276 1310 1372 1421 1441 1540 1568 1595 1624 1682 1694 1715 1760 1834 1856 1936 1960 2030 2096 2156 2233 2240 2320 2420 2464 2552 2620 2695 2744 2842 2882 3080 3136 3190 3248 3364 3388 3430 3509 3520 3668 3773 3799 3872 3920 4060 4192 4205 4235 4312 4466 4585 4640 4840 4928 5104 5240 5390 5488 5684 5764 5887 5929 6160 6380 6419 6496 6728 6776 6860 7018 7105 7205 7336 7546 7598 7744 7840 8120 8384 8410 8470 8624 8932 9170 9251 9280 9680 9947 10087 10208 10480 10780 10976 11165 11368 11528 11774 11858 12320 12760 12838 12992 13456 13552 13720 14036 14210 14410 14672 15092 15196 15631 15680 15851 16240 16820 16940 17248 17545 17864 18340 18502 18865 18995 19360 19894 20174 20416 20960 21560 21952 22330 22736 23056 23548 23716 24389 24563 24640 25520 25676 26593 26912 27104 27440 28072 28420 28820 29344 29435 29645 30184 30392 31262 31702 32095 32480 33640 33880 34496 35090 35728 36680 37004 37730 37990 38720 39788 40348 41209 41503 41789 41920 43120 44660 44933 45472 46112 46255 47096 47432 48778 49126 49735 50435 51040 51352 53186 53824 54208 54880 56144 56840 57640 58688 58870 59290 60368 60784 62524 63404 64190 64757 64960 67280 67760 70180 70609 71456 73360 74008 75460 75980 78155 79255 79576 80696 82418 83006 83578 86240 89320 89866 90944 92224 92510 94192 94864 97556 98252 99470 100870 101761 102080 102704 106372 109417 109760 110171 110957 112288 113680 115280 117740 118580 120736 121568 121945 122815 125048 126808 128380 129514 132965 134560 135520 140360 141218 142912 146720 148016 150920 151960 156310 158510 159152 161392 164836 166012 167156 170723 171941 172480 178640 179732 185020 186151 188384 189728 195112 196504 198940 201740 203522 205408 206045 207515 208945 212744 218834 220342 221914 224576 224665 227360 230560 235480 237160 241472 243136 243890 245630 250096 253616 256760 259028 265930 268279 269120 271040 280720 282436 288463 292523 293440 296032 301840 303920 312620 317020 318304 322784 323785 329672 332024 334312 341446 343882 353045 357280 359464 370040 372302 376768 379456 390224 393008 397880 403480 407044 410816 412090 415030 417890 425488 437668 440684 443828 449330 453299 454720 459679 461120 470960 474320 487780 491260 494263 500192 507232 508805 513520 518056 531860 536558 547085 550855 554785 561440 564872 576926 585046 592064 603680 607840 625240 634040 636608 645568 647570 659344 664048 668624 682892 687764 706090 712327 714560 718928 740080 744604 771197 776699 780448 786016 795760 806960 814088 824180 830060 835780 850976 853615 859705 875336 881368 887656 898660 906598 919358 930755 941920 948640 975560 982520 988526 1000384 1014464 1017610 1027040 1036112 1063720 1073116 1094170 1101710 1109570 1122880 1129744 1153852 1170092 1195061 1203587 1207360 1211881 1215680 1250480 1268080 1295140 1303057 1318688 1328096 1337248 1341395 1365784 1375528 1412180 1424654 1437856 1442315 1462615 1480160 1489208 1542394 1553398 1560896 1572032 1591520 1613920 1628176 1648360 1660120 1671560 1701952 1707230 1719410 1750672 1762736 1775312 1797320 1813196 1838716 1861510 1877953 1883840 1897280 1951120 1965040 1977052 2035220 2047661 2054080 2072224 2127440 2146232 2188340 2203420 2219140 2259488 2266495 2298395 2307704 2340184 2390122 2407174 2423762 2471315 2500960 2536160 2590280 2606114 2637376 2656192 2674496 2682790 2731568 2751056 2824360 2849308 2875712 2884630 2925230 2951069 2960320 2978416 3084788 3106796 3173093 3183040 3194959 3217753 3227840 3256352 3296720 3320240 3343120 3414460 3438820 3501344 3525472 3550624 3561635 3594640 3626392 3677432 3723020 3755906 3855985 3883495 3902240 3930080 3954104 4070440 4095322 4144448 4254880 4292464 4376680 4406840 4438280 4518976 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60094496 61695760 62135920 63461860 63899180 64355060 65525152 65728355 66653455 66923416 67865336 69808046 70289098 71668135 72527840 73548640 75118120 75577306 76483904 77029568 77560384 79082080 79780624 81906440 82629932 83395648 83654270 84831670 85849280 86374064 86990288 89458852 90097084 92019697 92308160 93314837 93607360 94434208 95604880 96286960 96950480 99725780 101538976 102238688 102968096 103287415 104244560 105165368 106645528 107967580 108737860 111823565 112621355 113972320 114669016 118042760 118764338 120188992 123391520 124271840 126923720 127798360 128710120 131050304 131456710 133306910 133846832 135730672 139616092 140578196 143336270 144602381 145055680 147097280 150236240 151154612 156552991 157669897 158164160 159561248 163812880 165259864 167308540 169663340 172748128 173980576 174520115 175722745 178917704 180194168 184039394 186629674 188868416 188943265 191209760 192573920 193900960 199451560 203077952 204477376 205936192 206574830 208489120 210330736 213291056 215935160 217475720 223647130 225242710 227944640 229338032 236085520 237528676 246011843 246783040 248543680 253847440 255596720 257420240 262913420 266613820 267693664 271461344 279232184 281156392 286672540 289204762 296910845 300472480 302309224 313105982 315339794 319122496 327625760 330519728 334617080 339326680 345496256 347961152 349040230 351445490 357835408 360388336 368078788 373259348 377886530 382419520 385147840 386590039 387801920 398903120 413149660 415675183 416978240 420661472 426582112 431870320 434951440 447294260 450485420 458676064 460098485 466574185 472171040 475057352 492023686 507694880 511193440 514840480 525826840 533227640 535387328 542922688 558464368 562312784 573345080 578409524 593821690 600944960 604618448 626211964 630679588 653203859 655251520 661039456 669234160 678653360 698080460 702890980 715670816 720776672 723011905 736157576 746518696 755773060 773180078 782764955 788349485 797806240 826299320 831350366 841322944 853164224 863740640 869902880 894588520 900970840 917352128 920196970 933148370 944342080 950114704 984047372 1012216667 1015389760 1022386880 1029680960 1051653680 1066455280 1095870937 1116928736 1124625568 1146690160 1156819048 1187643380 1209236896 1230059215 1252423928 1261359176 1306407718 1322078912 1338468320 1357306720 1396160920 1405781960 1431341632 1441553344 1446023810 1472315152 1493037392 1511546120 1546360156 1565529910 1576698970 1595612480 1652598640 1662700732 1722082901 1727481280 1739805760 1789177040 1801941680 1840393940 1866296740 1900229408 1932950195 1968094744 2024433334 2078375915 2103307360 2132910560 2191741874 2233857472 2249251136 2293380320 2313638096 2375286760 2418473792 2460118430 2504847856 2522718352 2612815436 2676936640 2706130273 2714613440 2792321840 2811563920 2892047620 2944630304 2986074784 3023092240 3092720312 3131059820 3153397940 3266019295 3305197280 3325401464 3444165802 3578354080 3603883360 3680787880 3732593480 3800458816 3865900390 3936189488 4048866668 4156751830 4206614720 4265821120 4383483748 4572427013 4586760640 4627276192 4750573520 4920236860 5009695712 5045436704 5061083335 5225630872 5412260546 5479354685 5584643680 5623127840 5784095240 5889260608 5972149568 6046184480 6185440624 6262119640 6306795880 6532038590 6610394560 6650802928 6888331604 7156708160 7207766720 7361575760 7465186960 7731800780 7872378976 8097733336 8313503660 8610414505 8766967496 9144854026 9254552384 9501147040 9840473720 10019391424 10090873408 10122166670 10451261744 10824521092 10958709370 11169287360 11246255680 11568190480 12054580307 12092368960 12370881248 12524239280 12613591760 13064077180 13301605856 13530651365 13776663208 14723151520 14930373920 15463601560 15744757952 16195466672 16627007320 17220829010 17533934992 18289708052 18942911911 19002294080 19680947440 20244333340 20902523488 21649042184 21917418740 22862135065 23136380960 24109160614 24741762496 25048478560 25227183520 26128154360 26603211712 27061302730 27553326416 29446303040 29860747840 30927203120 32390933344 33254014640 34441658020 35067869984 36579416104 37885823822 39361894880 40488666680 41805046976 43298084368 43834837480 45724270130 46272761920 48218321228 50096957120 50454367040 52256308720 54122605460 55106652832 60272901535 61854406240 64781866688 66508029280 68883316040 70135739968 73158832208 75771647644 78723789760 80977333360 86596168736 87669674960 91448540260 94714559555 96436642456 104512617440 108245210920 110213305664 120545803070 123708812480 132600383377 133016058560 137766632080 146317664416 151543295288 161954666720 173192337472 175339349920 182897080520 189429119110 192873284912 209025234880 216490421840 241091606140 265200766754 275533264160 292635328832 303086590576 323909333440 350678699840 365794161040 378858238220 385746569824 432980843680 482183212280 530401533508 551066528320 606173181152 663001916885 731588322080 757716476440 771493139648 865961687360 964366424560 1060803067016 1212346362304 1326003833770 1463176644160 1515432952880 1928732849120 2121606134032 2652007667540 3030865905760 3857465698240 4243212268064 5304015335080 6061731811520 8486424536128 10608030670160 21216061340320 42432122680640
- Sum of all divisors σ(n): 135167997888000
- Sum of proper divisors (its aliquot sum) s(n): 92735875207360
- 42432122680640 is an abundant number, because the sum of its proper divisors (92735875207360) is greater than itself. Its abundance is 50303752526720
Bases of 42432122680640
- Binary: 10011010010111011111111001100101110101010000002
- Hexadecimal: 0x26977F997540
- Base-36: F1H1QA1Q8
Squares and roots of 42432122680640
- 42432122680640 squared (424321226806402) is 1800485035184883499430809600
- 42432122680640 cubed (424321226806403) is 76398401897621403551874148558557446144000
-
The
square root of 42432122680640 is 6513994.3721682781 -
The
cube root of 42432122680640 is 34879.0718282071
Scales and comparisons
How big is 42432122680640?- 42,432,122,680,640 seconds is equal to 1,349,210 years, 13 weeks, 37 minutes, 20 seconds.
-
To count from 1 to 42,432,122,680,640 would take you about three million, three hundred seventy-three thousand and twenty-five 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 42432122680640 cubic inches would be around 2906.6 feet tall.
Recreational maths with 42432122680640
- 42432122680640 backwards is 04608622123424
- 42432122680640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42432122680640's digits is 44
- More coming soon!
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"Number 42432122680640 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 42432122680640 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42432122680640/
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The information we have on file for 42432122680640 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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