42257971688520
42,257,971,688,520 is an even composite number composed of seven prime numbers multiplied together.
42257971688520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42257971688520:
23 × 3 × 5 × 73 × 193 × 43 × 592
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 19 × 19 × 19 × 43 × 59 × 59)See below for interesting mathematical facts about the number 42257971688520 from the Numbermatics database.
Names of 42257971688520
- Cardinal: 42257971688520 can be written as Forty-two trillion, two hundred fifty-seven billion, nine hundred seventy-one million, six hundred eighty-eight thousand, five hundred twenty.
Scientific notation
- Scientific notation: 4.225797168852 × 1013
Factors of 42257971688520
Divisors of 42257971688520
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 43 49 56 57 59 60 70 76 84 86 95 98 105 114 118 120 129 133 140 147 152 168 172 177 190 196 210 215 228 236 245 258 266 280 285 294 295 301 343 344 354 361 380 392 399 413 420 430 456 472 490 516 532 570 588 590 602 645 665 686 708 722 735 760 798 817 826 840 860 885 903 931 980 1029 1032 1064 1083 1121 1140 1176 1180 1204 1239 1290 1330 1372 1416 1444 1470 1505 1596 1634 1652 1715 1720 1770 1805 1806 1862 1960 1995 2058 2065 2107 2166 2242 2280 2360 2408 2451 2478 2527 2537 2580 2660 2744 2793 2888 2891 2940 3010 3192 3268 3304 3363 3430 3481 3540 3610 3612 3724 3990 4085 4116 4130 4214 4332 4484 4515 4655 4902 4956 5054 5074 5145 5160 5320 5415 5586 5605 5719 5782 5880 6020 6195 6321 6517 6536 6726 6859 6860 6962 7080 7220 7224 7448 7581 7611 7847 7980 8170 8232 8260 8428 8664 8673 8968 9030 9310 9804 9912 10108 10148 10290 10443 10535 10830 11172 11210 11438 11564 12040 12255 12390 12635 12642 12685 13034 13452 13718 13720 13924 13965 14440 14455 14749 15162 15222 15523 15694 15960 16340 16520 16815 16856 17157 17346 17405 17689 17759 18060 18620 19551 19608 20216 20237 20296 20577 20580 20886 21070 21299 21660 22344 22420 22876 23128 23541 24367 24510 24780 25270 25284 25370 26068 26904 27436 27848 27930 28595 28910 29498 30324 30444 31046 31388 31605 32585 32680 33630 34295 34314 34692 34810 35378 35518 36120 37240 37905 38055 39102 39235 40033 40474 41154 41160 41772 42140 42598 43320 43365 44247 44840 45752 46569 47082 48013 48203 48734 49020 49560 50540 50568 50740 52136 52215 53067 53277 54872 54929 55860 57190 57820 58996 60648 60711 60888 62092 62776 63210 63897 65170 66139 67260 68590 68628 69384 69620 70756 71036 73101 73745 75810 76110 77615 78204 78470 80066 80948 82308 83544 84280 85196 85785 86730 88445 88494 88795 93138 94164 96026 96406 97468 97755 98040 101080 101185 101480 102885 104430 106134 106495 106554 108661 109858 111720 114380 115640 117705 117992 120099 121422 121835 123823 124184 124313 126420 127794 130340 132278 134520 137180 137256 139240 141512 142072 144039 144609 146202 147490 149093 149683 151620 152220 155230 156408 156940 160132 161896 164616 164787 170392 170569 171570 173460 176890 176988 177590 186276 188328 192052 192812 194936 195510 198417 200165 202370 205770 208860 212268 212990 213108 217322 219716 221235 228760 232845 235410 240065 240198 241015 242844 243670 247646 248626 252840 255588 260680 264556 265335 266385 274360 274645 280231 288078 289218 292404 294937 294980 298186 299366 303240 303555 304440 310460 313880 319485 320264 325983 329574 330695 336091 337421 341138 343140 346920 353780 353976 355180 365505 371469 372552 372939 384104 384503 385624 391020 396834 400330 404681 404740 411540 417720 424536 425980 426216 434644 439432 442470 447279 449049 462973 465690 470820 480130 480396 482030 485688 487340 495292 497252 511176 511707 529112 530670 532770 543305 549290 560462 576156 578436 584808 589874 589960 596372 598732 600495 607110 619115 620920 621565 638970 651966 659148 661390 672182 674842 682276 686280 707560 710360 720195 723045 731010 742938 745465 745878 748415 760627 769006 782040 793668 800660 809362 809480 823080 823935 840693 851960 852845 869288 870191 884811 884940 894558 898098 915857 925946 931380 941640 960260 960792 964060 974680 990584 992085 994504 1008273 1012263 1023414 1043651 1047781 1061340 1065540 1086610 1098580 1120924 1152312 1153509 1156872 1179748 1192744 1193983 1197464 1200990 1214043 1214220 1238230 1243130 1256641 1277940 1303932 1318296 1322780 1344364 1349684 1364552 1388919 1401155 1440390 1446090 1462020 1474685 1485876 1490930 1491756 1496830 1521254 1538012 1587336 1601320 1618724 1629915 1647870 1680455 1681386 1687105 1705690 1740382 1769622 1769880 1789116 1796196 1831714 1851892 1857345 1862760 1864695 1920520 1922515 1928120 1984170 2016546 2023405 2024526 2046828 2064559 2087302 2095562 2122680 2131080 2173220 2197160 2236395 2241848 2245245 2281881 2307018 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71628537 71638980 72259565 73055570 73344670 75398460 76931988 77779464 79317476 79631356 79865835 82582360 82668145 84983010 85319310 86711478 87006415 87666684 87964870 88013604 89753986 90742708 91275240 94105480 94477880 95504716 96164985 97224330 99146845 99201774 99539195 101163391 102682538 104407698 104422920 105557844 106487780 108071126 109583355 109902840 110017005 113310680 113428385 113759080 115615304 118976214 119380895 119447034 121808981 123150818 123873540 125238120 125733720 127785336 128219980 129632440 131947305 132269032 134630979 136114062 138805583 139210264 139354873 141158220 141716820 143257074 143277960 144519130 146111140 146689340 150796920 153863976 154023807 158634952 159262712 159731670 162106689 165336290 167133253 169966020 170638620 173422956 174012830 175333368 175929740 176027208 179507972 181485416 184726227 191009432 192329970 194448660 198293690 198403548 199078390 202326782 205365076 208815396 211115688 212975560 216142252 216778695 219166710 220034010 224384965 226856770 237952428 238761790 238894068 243617962 246301636 247747080 248004435 256439960 256706345 261019245 263894610 269261958 270177815 272228124 277611166 278709746 282316440 283433640 286514148 289038260 292222280 293378680 297440535 298617585 303490173 307877045 308047614 314138951 319463340 324213378 330672580 334266506 339932040 340285155 341277240 346845912 348025660 351859480 358142685 359015944 365426943 369452454 378248941 384659940 388897320 396587380 396807096 398156780 404653564 410730152 416416749 417630792 418064619 431027863 432284504 433557390 438333420 440068020 448769930 453713540 475904856 477523580 477788136 487235924 492603272 496008870 501399759 505816955 513412690 522038490 527789220 538523916 540355630 544456248 555222332 557419492 573028296 578076520 594881070 597235170 606980346 609044905 615754090 616095228 628277902 638926680 648426756 661345160 668533012 673154895 680570310 694027915 696051320 696774365 716285370 730853886 738904908 756497882 769319880 770119035 793174760 796313560 809307128 810533445 832833498 835666265 836129238 852662867 862055726 867114780 876666840 880136040 897539860 907427080 923631135 942416853 955047160 974471848 975484111 992017740 1002799518 1011633910 1026675697 1026825380 1044076980 1055578440 1077047832 1080711260 1110444664 1114838984 1134746823 1169932771 1189762140 1194470340 1213960692 1218089810 1231508180 1232190456 1256555804 1293083589 1296853512 1337066024 1346309790 1361140620 1388055830 1393548730 1432570740 1461707772 1477809816 1512995764 1517450865 1540238070 1570694755 1621066890 1665666996 1671332530 1672258476 1705325734 1724111452 1734229560 1795079720 1827134715 1847262270 1884833706 1891244705 1950968222 1984035480 2005599036 2023267820 2053351394 2053650760 2082083745 2088153960 2090323095 2155139315 2161422520 2269493646 2339865542 2379524280 2388940680 2427921384 2436179620 2463016360 2506998795 2513111608 2557988601 2586167178 2647742587 2692619580 2722281240 2776111660 2787097460 2865141480 2923415544 2926452333 3025991528 3034901730 3080027091 3080476140 3141389510 3242133780 3331333992 3342665060 3344516952 3410651468 3448222904 3509798313 3654269430 3694524540 3769667412 3782489410 3901936444 4011198072 4046535640 4106702788 4164167490 4180646190 4263314335 4310278630 4538987292 4679731084 4712084265 4872359240 4877420555 5013997590 5115977202 5133378485 5172334356 5295485174 5385239160 5552223320 5574194920 5673734115 5849663855 5852904666 5968640069 6069803460 6160054182 6160952280 6282779020 6465417945 6484267560 6685330120 6821302936 7019596626 7186729879 7308538860 7389049080 7539334824 7564978820 7803872888 7943227761 8189529397 8213405576 8328334980 8361292380 8526628670 8620557260 9077974584 9359462168 9424168530 9754841110 10027995180 10231954404 10266756970 10344668712 10590970348 11347468230 11699327710 11705809332 11937280138 12139606920 12320108364 12565558040 12789943005 12930835890 13238712935 14039193252 14373459758 14617077720 14632261665 15129957640 15400135455 15886455522 16379058794 16656669960 16722584760 17053257340 17241114520 17548991565 17905920207 18534198109 18848337060 19509682220 20055990360 20463908808 20533513940 21181940696 21560189637 22694936460 23398655420 23411618664 23874560276 24568588191 24640216728 25579886010 25861671780 26477425870 28078386504 28746919516 29264523330 29843200345 30800270910 31772911044 32758117588 34106514680 35097983130 35811840414 35933649395 37068396218 37696674120 39019364440 39716138805 40947646985 41067027880 43120379274 45389872920 46797310840 47749120552 49137176382 50307109153 51159772020 51723343560 52954851740 55602594327 57493839032 58529046660 59686400690 61600541820 63545822088 65516235176 70195966260 71623680828 71867298790 74136792436 79432277610 81895293970 86240758548 89529601035 92670990545 98274352764 100614218306 102319544040 105909703480 107800948185 111205188654 117058093320 119372801380 122842940955 123201083640 140391932520 143247361656 143734597580 148273584872 150921327459 158864555220 163790587940 172481517096 179059202070 185341981090 196548705528 201228436612 215601896370 222410377308 238745602760 245685881910 251535545765 278012971635 287469195160 301842654918 317729110440 327581175880 352149764071 358118404140 370683962180 402456873224 431203792740 444820754616 491371763820 503071091530 556025943270 603685309836 704299528142 716236808280 741367924360 754606637295 862407585480 982743527640 1006142183060 1056449292213 1112051886540 1207370619672 1408599056284 1509213274590 1760748820355 2012284366120 2112898584426 2224103773080 2817198112568 3018426549180 3521497640710 4225797168852 5282246461065 6036853098360 7042995281420 8451594337704 10564492922130 14085990562840 21128985844260 42257971688520
- Sum of all divisors σ(n): 162435018240000
- Sum of proper divisors (its aliquot sum) s(n): 120177046551480
- 42257971688520 is an abundant number, because the sum of its proper divisors (120177046551480) is greater than itself. Its abundance is 77919074862960
Bases of 42257971688520
- Binary: 10011001101110111100110110010000110100010010002
- Hexadecimal: 0x266EF3643448
- Base-36: EZ91L9W7C
Squares and roots of 42257971688520
- 42257971688520 squared (422579716885202) is 1785736171227757859899790400
- 42257971688520 cubed (422579716885203) is 75461588566908694652403247327482086208000
-
The
square root of 42257971688520 is 6500613.1778871445 -
The
cube root of 42257971688520 is 34831.2892083849
Scales and comparisons
How big is 42257971688520?- 42,257,971,688,520 seconds is equal to 1,343,672 years, 40 weeks, 6 days, 13 hours, 2 minutes.
-
To count from 1 to 42,257,971,688,520 would take you about three million, three hundred fifty-nine thousand, one hundred eighty-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 42257971688520 cubic inches would be around 2902.6 feet tall.
Recreational maths with 42257971688520
- 42257971688520 backwards is 02588617975224
- The number of decimal digits it has is: 14
- The sum of 42257971688520's digits is 66
- More coming soon!
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"Number 42257971688520 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 42257971688520 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/42257971688520/
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The information we have on file for 42257971688520 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 42257971688520, math, Factors of 42257971688520, curriculum, school, college, exams, university, Prime factorization of 42257971688520, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred fifty-seven billion, nine hundred seventy-one million, six hundred eighty-eight thousand, five hundred twenty.