42009349868640
42,009,349,868,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42009349868640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
42009349868640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42009349868640:
25 × 32 × 5 × 7 × 11 × 67 × 972 × 601
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 67 × 97 × 97 × 601)See below for interesting mathematical facts about the number 42009349868640 from the Numbermatics database.
Names of 42009349868640
- Cardinal: 42009349868640 can be written as Forty-two trillion, nine billion, three hundred forty-nine million, eight hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.200934986864 × 1013
Factors of 42009349868640
Divisors of 42009349868640
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 66 67 70 72 77 80 84 88 90 96 97 99 105 110 112 120 126 132 134 140 144 154 160 165 168 176 180 194 198 201 210 220 224 231 240 252 264 268 280 288 291 308 315 330 335 336 352 360 385 388 396 402 420 440 462 469 480 485 495 504 528 536 560 582 601 603 616 630 660 670 672 679 693 720 737 770 776 792 804 840 873 880 924 938 970 990 1005 1008 1056 1067 1072 1120 1155 1164 1202 1206 1232 1260 1320 1340 1358 1386 1407 1440 1455 1474 1540 1552 1584 1608 1680 1746 1760 1803 1848 1876 1940 1980 2010 2016 2037 2134 2144 2211 2310 2328 2345 2404 2412 2464 2520 2640 2680 2716 2772 2814 2910 2948 3005 3015 3080 3104 3168 3201 3216 3360 3395 3465 3492 3606 3685 3696 3752 3880 3960 4020 4074 4207 4221 4268 4365 4422 4620 4656 4690 4808 4824 5040 5159 5280 5335 5360 5409 5432 5544 5628 5820 5896 6010 6030 6111 6160 6402 6432 6499 6611 6633 6790 6930 6984 7035 7212 7370 7392 7469 7504 7760 7920 8040 8148 8414 8442 8536 8730 8844 9015 9240 9312 9380 9409 9603 9616 9648 10080 10185 10318 10670 10720 10818 10864 11055 11088 11256 11640 11792 12020 12060 12222 12320 12621 12804 12998 13222 13266 13580 13860 13968 14070 14424 14740 14938 15008 15477 15520 15840 16005 16080 16296 16828 16884 17072 17460 17688 18030 18480 18760 18818 19206 19232 19296 19497 19833 20370 20636 21035 21105 21340 21636 21728 22110 22176 22407 22512 23280 23584 24040 24120 24444 25242 25608 25795 25996 26444 26532 27045 27160 27720 27936 28140 28227 28848 29480 29876 30555 30954 32010 32160 32495 32592 33055 33165 33656 33768 34144 34920 35376 36060 36960 37345 37520 37636 37863 38412 38994 39666 40267 40740 41272 42070 42210 42680 43272 44220 44814 45024 45493 46277 46431 46560 47045 48015 48080 48240 48888 50484 51216 51590 51992 52888 53064 54090 54320 55440 56280 56454 57696 58297 58491 58960 59499 59752 61110 61908 63105 64020 64990 65184 65863 66110 66330 67221 67312 67536 69840 70752 71489 72120 74690 75040 75272 75726 76824 77385 77988 79332 80534 81480 82544 84140 84420 84681 85360 86544 88440 89628 90986 92554 92862 94090 96030 96160 96480 97485 97776 99165 100968 102432 103180 103499 103984 105776 106128 108180 108640 110880 112035 112560 112908 116594 116982 117920 118998 119504 120801 122220 123816 126210 128040 129980 131726 132220 132660 134442 134624 135072 136479 138831 139680 141135 142978 144240 149380 150544 151452 153648 154770 155976 158664 161068 162960 165088 168280 168840 169362 170720 173088 174891 176880 179256 181972 185108 185724 188180 189315 192060 194970 195552 197589 198330 201335 201936 206360 206998 207968 211552 212256 214467 216360 224070 225120 225816 227465 231385 232155 233188 233964 237996 239008 241602 244440 247632 252420 256080 259960 263452 264440 265320 268884 272958 277662 281869 282270 285956 288480 291485 292455 297495 298760 301088 302904 307296 309540 310497 311952 317328 322136 325920 329315 336105 336560 337680 338724 349782 353760 357445 358512 362403 363944 370216 371448 376360 378630 384120 389940 395178 396660 402670 403872 408079 409437 412720 413996 416493 423405 428934 432720 442937 448140 451632 454930 462770 464310 466376 467928 475992 483204 488880 495264 500423 504840 512160 517495 519920 524673 526904 528880 530640 537768 545916 555324 563738 564540 571912 582970 584910 592767 594990 597520 604005 605808 619080 620994 623904 630403 634656 641267 643401 644272 658630 672210 673120 675360 677448 682395 694155 699564 714890 717024 724493 724806 727888 740432 742896 752720 757260 768240 779880 790356 793320 805340 816158 818874 825440 827992 832986 845607 846810 857868 865440 874455 885874 896280 903264 909860 925540 928620 931491 932752 935856 951984 966408 977760 987945 1000846 1009680 1034990 1039840 1049346 1053808 1057760 1061280 1072335 1075536 1091832 1110648 1127476 1129080 1143824 1165940 1169820 1185534 1189980 1195040 1208010 1211616 1224237 1238160 1241988 1260806 1282534 1286802 1288544 1317260 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97082062 97938960 99217888 100864480 101472840 101786562 102602720 102944160 104016495 104326992 105907704 106304880 107732856 109365172 110950928 111620124 113096180 113472540 115428060 115918880 117176970 117526752 118750989 120101520 124022360 124405798 124819794 124988768 127565856 128894667 130408740 132384630 134666070 135297120 135715416 136706465 138688660 139525155 140612364 141210272 143643808 144121824 145623093 146908440 148826832 149038560 151296720 153904080 156235960 158334652 158861556 159457320 161599284 164047758 166426392 169644270 171859556 173878320 175765455 176512840 179554760 180152280 180953888 181556064 184684896 186033540 186608697 187483152 194164124 195877920 197918315 198576945 201999105 202945680 203573124 208032990 208653984 211815408 212609760 214824445 215465712 218730344 221901856 223240248 226192360 226945080 230856120 234353940 237501978 240203040 242705155 246071637 248044720 248811596 249639588 254466405 257789334 260817480 264769260 269332140 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820238790 832131960 859297780 870840586 873738558 874921376 892960992 902262669 904769440 907780320 923424480 933043485 937415760 950007912 970820620 984286548 995246384 998558352 1017865620 1031157336 1043269920 1059077040 1077328560 1093651720 1109509280 1116201240 1119652182 1124898912 1136616609 1164984744 1187509890 1203016892 1230358185 1244057980 1248197940 1266677216 1270892448 1288946670 1292794272 1306260879 1312382064 1357154160 1374876448 1406123640 1425011868 1456230930 1488268320 1492869576 1503771115 1515488812 1546736004 1553312992 1583346520 1588615560 1615992840 1628584992 1640477580 1664263920 1718595560 1741681172 1747477116 1781264835 1804525338 1866086970 1874831520 1894361015 1900015824 1933420005 1941641240 1968573096 1990492768 1997116704 2035731240 2062314672 2118154080 2154657120 2177101465 2184346395 2187303440 2232402480 2239304364 2273233218 2329969488 2375019780 2406033784 2460716370 2488115960 2496395880 2577893340 2612521758 2624764128 2652105421 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10827152028 11196521820 11366166090 11400094944 11649847440 12030168920 12123910496 12373888032 12502782699 13062608790 13123820640 13260527105 13533940035 13639399308 13933449376 13979816928 14250118680 14436202704 14928695760 15154888120 15467360040 15675130548 15912632526 16670376932 17049249135 17416811720 17474771160 17914434912 18045253380 18185865744 19000158240 19593913185 19685730960 20623146720 20837971165 20900174064 21216843368 21654304056 22393043640 22732332180 23299694880 23868948789 24060337840 25005565398 26125217580 26521054210 27067880070 27278798616 28500237360 28872405408 29173159631 29857391520 30309776240 30934720080 31350261096 31825265052 33340753864 34098498270 34833623440 34949542320 36090506760 36371731488 37508348097 39187826370 39371461920 39781581315 41675942330 41800348128 42433686736 43308608112 44786087280 45464664360 47737897578 48120675680 50011130796 52250435160 53042108420 54135760140 54557597232 57000474720 58346319262 60619552480 61869440160 62513913495 62700522192 63650530104 66681507728 68196996540 69667246880 69899084640 72181013520 75016696194 78375652740 79563162630 83351884660 84867373472 86617216224 87519478893 89572174560 90929328720 95475795156 100022261592 104500870320 106084216840 108271520280 109115194464 116692638524 119344743945 125027826990 125401044384 127301060208 133363015456 136393993080 144362027040 145865798155 150033392388 156751305480 159126325260 166703769320 175038957786 181858657440 187541740485 190951590312 200044523184 209001740640 212168433680 216543040560 233385277048 238689487890 250055653980 254602120416 262558436679 272787986160 291731596310 300066784776 313502610960 318252650520 333407538640 350077915572 375083480970 381903180624 400089046368 424336867360 433086081120 437597394465 466770554096 477378975780 500111307960 525116873358 545575972320 583463192620 600133569552 627005221920 636505301040 666815077280 700155831144 750166961940 763806361248 875194788930 933541108192 954757951560 1000222615920 1050233746716 1166926385240 1200267139104 1273010602080 1312792183395 1400311662288 1500333923880 1750389577860 1909515903120 2000445231840 2100467493432 2333852770480 2625584366790 2800623324576 3000667847760 3500779155720 3819031806240 4200934986864 4667705540960 5251168733580 6001335695520 7001558311440 8401869973728 10502337467160 14003116622880 21004674934320 42009349868640
- Sum of all divisors σ(n): 183592646834688
- Sum of proper divisors (its aliquot sum) s(n): 141583296966048
- 42009349868640 is an abundant number, because the sum of its proper divisors (141583296966048) is greater than itself. Its abundance is 99573947097408
Bases of 42009349868640
- Binary: 10011000110101000100000110000001001100011000002
- Hexadecimal: 0x263510604C60
- Base-36: EW2TU9G80
Squares and roots of 42009349868640
- 42009349868640 squared (420093498686402) is 1764785476385803585255449600
- 42009349868640 cubed (420093498686403) is 74137490520585737666211862694604140544000
-
The
square root of 42009349868640 is 6481462.0162923119 -
The
cube root of 42009349868640 is 34762.8456537149
Scales and comparisons
How big is 42009349868640?- 42,009,349,868,640 seconds is equal to 1,335,767 years, 19 weeks, 6 days, 4 hours, 24 minutes.
-
To count from 1 to 42,009,349,868,640 would take you about three million, three hundred thirty-nine thousand, four 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 42009349868640 cubic inches would be around 2896.9 feet tall.
Recreational maths with 42009349868640
- 42009349868640 backwards is 04686894390024
- 42009349868640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42009349868640's digits is 63
- More coming soon!
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"Number 42009349868640 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 42009349868640 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/42009349868640/
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The information we have on file for 42009349868640 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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