42068456464320
42,068,456,464,320 is an even composite number composed of seven prime numbers multiplied together.
42068456464320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 42068456464320:
26 × 33 × 5 × 112 × 13 × 312 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 31 × 31 × 3221)See below for interesting mathematical facts about the number 42068456464320 from the Numbermatics database.
Names of 42068456464320
- Cardinal: 42068456464320 can be written as Forty-two trillion, sixty-eight billion, four hundred fifty-six million, four hundred sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.206845646432 × 1013
Factors of 42068456464320
Divisors of 42068456464320
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 31 32 33 36 39 40 44 45 48 52 54 55 60 62 64 65 66 72 78 80 88 90 93 96 99 104 108 110 117 120 121 124 130 132 135 143 144 155 156 160 165 176 180 186 192 195 198 208 216 220 234 240 242 248 260 264 270 279 286 288 297 310 312 320 330 341 351 352 360 363 372 390 396 403 416 429 432 440 465 468 480 484 495 496 520 528 540 558 572 576 585 594 605 620 624 660 682 702 704 715 720 726 744 780 792 806 832 837 858 864 880 930 936 960 961 968 990 992 1023 1040 1056 1080 1089 1116 1144 1170 1188 1209 1210 1240 1248 1287 1320 1364 1395 1404 1430 1440 1452 1485 1488 1560 1573 1584 1612 1674 1705 1716 1728 1755 1760 1815 1860 1872 1922 1936 1980 1984 2015 2046 2080 2112 2145 2160 2178 2232 2288 2340 2376 2418 2420 2480 2496 2574 2640 2728 2790 2808 2860 2880 2883 2904 2970 2976 3069 3120 3146 3168 3221 3224 3267 3348 3410 3432 3510 3520 3627 3630 3720 3744 3751 3844 3861 3872 3960 4030 4092 4160 4185 4290 4320 4356 4433 4464 4576 4680 4719 4752 4805 4836 4840 4960 5115 5148 5280 5445 5456 5580 5616 5720 5766 5808 5940 5952 6045 6138 6240 6292 6336 6435 6442 6448 6534 6696 6820 6864 7020 7254 7260 7440 7488 7502 7688 7722 7744 7865 7920 8060 8184 8370 8580 8640 8649 8712 8866 8928 9152 9207 9360 9438 9504 9610 9663 9672 9680 9920 10230 10296 10560 10571 10881 10890 10912 11160 11232 11253 11440 11532 11616 11880 12090 12276 12480 12493 12584 12870 12884 12896 13068 13299 13392 13640 13728 14040 14157 14415 14508 14520 14880 15004 15345 15376 15444 15730 15840 16105 16120 16335 16368 16740 17160 17298 17424 17732 17856 18135 18414 18720 18755 18876 19008 19220 19305 19326 19344 19360 20460 20592 21142 21762 21780 21824 22165 22320 22464 22506 22880 23064 23232 23595 23760 24180 24552 24986 25168 25740 25768 25792 25947 26136 26598 26784 27280 27456 28080 28314 28830 28989 29016 29040 29760 30008 30690 30752 30888 31460 31680 31713 32210 32240 32670 32736 33480 33759 34320 34596 34848 35431 35464 36270 36828 37440 37479 37510 37752 38440 38610 38652 38688 38720 39897 40920 41184 41873 42284 42471 43245 43524 43560 44330 44640 45012 45760 46035 46128 47190 47520 48315 48360 48763 49104 49972 50336 51480 51536 51894 52272 52855 53196 53568 54405 54560 56160 56265 56628 57660 57978 58032 58080 60016 61380 61504 61776 62465 62920 63426 64420 64480 65340 65472 66495 66960 67518 68640 69192 69696 70785 70862 70928 72540 73656 74958 75020 75504 76880 77220 77304 77376 79794 81840 82368 83746 84568 84942 86490 86967 87048 87120 88660 89280 90024 92070 92256 94380 95040 95139 96630 96720 97526 98208 99851 99944 100672 101277 102960 103072 103788 104544 105710 106293 106392 108810 109120 112320 112437 112530 113256 115320 115956 116064 116160 116281 119691 120032 122760 123552 124930 125619 125840 126852 128840 128960 129735 130680 132990 133920 135036 137280 137423 138384 141570 141724 141856 144945 145080 146289 147312 149916 150040 151008 153760 154440 154608 158565 159588 163680 167492 168795 169136 169884 172980 173934 174096 174240 177155 177320 180048 184140 184512 187395 188760 190278 193260 193440 195052 196416 199485 199702 199888 202554 205920 206144 207576 209088 209365 211420 212355 212586 212784 217620 224874 225060 226512 230640 231912 232128 232562 239382 240064 243815 245520 247104 249860 251238 251680 253704 257680 259470 261360 265980 267840 270072 274846 276768 283140 283448 283712 285417 289890 290160 292578 294624 299553 299832 300080 302016 307520 308880 309216 317130 318879 319176 327360 334984 337311 337590 338272 339768 345960 347868 348192 348480 348843 354310 354640 360096 368280 374790 376857 377520 380556 386520 386880 389741 390104 398970 399404 399776 405108 411840 412269 415152 418730 422840 424710 425172 425568 434835 435240 438867 449748 450120 453024 460603 461280 463824 465124 475695 478764 487630 491040 499255 499720 502476 503360 506385 507408 515360 518940 522720 531465 531960 540144 549692 553536 562185 566280 566896 570834 579780 580320 581405 585156 589248 598455 599106 599664 600160 617760 618432 628095 634260 637758 638352 669968 674622 675180 676544 679536 687115 691920 695736 696384 697686 708620 709280 720192 731445 736560 749580 753714 755040 761112 773040 779482 780208 797940 798808 799552 810216 824538 830304 837460 845680 849420 850344 851136 869670 870480 877734 898659 899496 900240 906048 921206 922560 927648 930248 951390 956637 957528 975260 982080 998510 999440 1004952 1012770 1014816 1030720 1037880 1045440 1046529 1062930 1063920 1080288 1098361 1099384 1124370 1130571 1132560 1133792 1141668 1159560 1160640 1162810 1169223 1170312 1196910 1198212 1199328 1200320 1235520 1236807 1256190 1268520 1275516 1276704 1298063 1316601 1339936 1349244 1350360 1359072 1374230 1381809 1383840 1391472 1395372 1417240 1418560 1427085 1462890 1473120 1497765 1499160 1507428 1510080 1511653 1522224 1546080 1558964 1560416 1594395 1595880 1597616 1620432 1649076 1660608 1674920 1686555 1691360 1698840 1700688 1739340 1740960 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31153512 31179280 31395870 31952320 32408640 32950830 32981520 33163416 33488928 34013760 34049191 35047701 35076690 35109360 35147552 35946360 35979840 36178272 36245913 36279672 36848240 37104210 37144572 37209920 37415136 38265480 38301120 38941890 39540996 39577824 40198080 40239953 40533064 40814631 41454270 41538016 41861160 42092028 42131232 42836079 43135632 43934440 43975360 44217888 45222840 45349590 45599697 45666720 46430715 46730268 46768920 46812480 47928480 48327884 48372896 49426245 49472280 49526096 49745124 50233392 50666330 51020640 51922520 52615035 52664040 52721328 53919540 53969760 54419508 55272360 55716858 55814880 56122704 57114772 57514176 58412835 59311494 59366736 60297120 60409855 60466120 60799596 61224768 61907620 62181405 62307024 62358560 62791740 65901660 65963040 66326832 66977856 68024385 68098382 70095402 70153380 70218720 70295104 71393465 71892720 72356544 72491826 72559344 73696480 74208420 74289144 74830272 75999495 76530960 77883780 79081992 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474491952 482879436 483278840 483728960 486396768 495260960 497451240 502333920 510737865 514032948 527213280 543688695 544195080 544787056 547196364 557168580 560763216 561227040 571147720 579934608 593114940 593667360 594313152 603599295 607995960 612885438 623070240 628262492 632655936 642541185 643839248 652426434 653034096 663268320 668602296 673472448 680983820 683995455 685377264 700954020 724319154 724918260 725593440 729595152 742891440 747684288 749082202 771049422 773246144 785328115 790819920 795921984 804799060 810661280 816292620 817180584 835752870 841840560 856721580 862712640 869901912 870712128 885278966 891469728 911993940 913836352 919328157 934605360 942393738 948983904 965758872 966557680 972793536 990521920 994902480 1004667840 1021475730 1028065896 1054426560 1086478731 1087377390 1088390160 1089574112 1094392728 1114337160 1121526432 1122454080 1123623303 1142295440 1159869216 1186229880 1187334720 1207198590 1215991920 1225770876 1246140480 1256524984 1285082370 1287678496 1304852868 1306068192 1326536640 1327918449 1337204592 1361967640 1367990910 1370754528 1401908040 1413590607 1448638308 1449836520 1451186880 1459190304 1485782880 1498164404 1532213595 1542098844 1570656230 1581639840 1609598120 1621322560 1631066085 1632585240 1634361168 1671505740 1683681120 1713443160 1739803824 1770557932 1782939456 1810797885 1823987880 1838656314 1869210720 1872705505 1884787476 1897967808 1927623555 1931517744 1933115360 1989804960 2042951460 2056131792 2172957462 2174754780 2176780320 2179148224 2188785456 2213197415 2228674320 2243052864 2247246606 2284590880 2319738432 2355984345 2372459760 2414397180 2431983840 2451541752 2513049968 2570164740 2575356992 2609705736 2612136384 2655836898 2674409184 2723935280 2735981820 2741509056 2803816080 2827181214 2897276616 2899673040 2918380608 2971565760 2996328808 3064427190 3084197688 3141312460 3163279680 3219196240 3262132170 3265170480 3268722336 3343011480 3367362240 3370869909 3426886320 3479607648 3541115864 3621595770 3647975760 3677312628 3738421440 3745411010 3769574952 3855247110 3863035488 3866230720 3979609920 3983755347 4085902920 4112263584 4240771821 4345914924 4349509560 4353560640 4377570912 4426394830 4457348640 4494493212 4569181760 4596640785 4711968690 4744919520 4828794360 4863967680 4869034313 4903083504 5026099936 5140329480 5219411472 5311673796 5348818368 5432393655 5447870560 5471963640 5607632160 5618116515 5654362428 5794553232 5799346080 5992657616 6128854380 6168395376 6282624920 6438392480 6524264340 6530340960 6537444672 6639592245 6686022960 6741739818 6853772640 6959215296 7067953035 7082231728 7243191540 7295951520 7354625256 7490822020 7539149904 7710494220 7726070976 7967510694 8171805840 8224527168 8481543642 8691829848 8699019120 8755141824 8852789660 8914697280 8988986424 9193281570 9423937380 9489839040 9657588720 9738068626 9806167008 10052199872 10112609727 10280658960 10438822944 10623347592 10864787310 10895741120 10943927280 11215264320 11236233030 11308724856 11589106464 11598692160 11951266041 11985315232 12257708760 12336790752 12565249840 12876784960 13048528680 13060681920 13279184490 13372045920 13483479636 13707545280 14135906070 14164463456 14486383080 14591903040 14607102939 14709250512 14981644040 15078299808 15420988440 15935021388 16343611680 16854349545 16963087284 17383659696 17398038240 17705579320 17977972848 18386563140 18847874760 19315177440 19476137252 19612334016 19918776735 20225219454 20561317920 20877645888 21203859105 21246695184 21729574620 21887854560 22472466060 22617449712 23178212928 23902532082 23970630464 24345171565 24515417520 24673581504 25130499680 26097057360 26558368980 26744091840 26966959272 28271812140 28328926912 28972766160 29214205878 29418501024 29963288080 30156599616 30841976880 31870042776 32687223360 33708699090 33926174568 34767319392 34796076480 35411158640 35955945696 36773126280 37695749520 38630354880 38952274504 39837553470 40450438908 41122635840 42407718210 42493390368 43459149240 43775709120 43821308817 44944932120 45234899424 47805064164 48690343130 49030835040 50260999360 50563048635 52194114720 53116737960 53933918544 56543624280 57945532320 58428411756 58837002048 59756330205 59926576160 61683953760 63740085552 67417398180 67852349136 69534638784 70822317280 71911891392 73035514695 73546252560 75391499040 77904549008 79675106940 80900877816 84815436420 84986780736 86918298480 87642617634 89889864240 90469798848 95610128328 97380686260 98061670080 101126097270 104388229440 106233475920 107867837088 113087248560 115891064640 116856823512 119512660410 119853152320 123367907520 127480171104 131463926451 134834796360 135704698272 141644634560 146071029390 147092505120 150782998080 155809098016 159350213880 161801755632 169630872840 173836596960 175285235268 179779728480 191220256656 194761372520 202252194540 212466951840 215735674176 219106544085 226174497120 233713647024 239025320820 254960342208 262927852902 269669592720 271409396544 292142058780 294185010240 311618196032 318700427760 323603511264 339261745680 347673193920 350570470536 359559456960 382440513312 389522745040 404504389080 424933903680 438213088170 452348994240 467427294048 478050641640 525855705804 539339185440 584284117560 637400855520 647207022528 657319632255 678523491360 701140941072 764881026624 779045490080 809008778160 876426176340 934854588096 956101283280 1051711411608 1078678370880 1168568235120 1274801711040 1314639264510 1357046982720 1402281882144 1558090980160 1618017556320 1752852352680 1912202566560 2103422823216 2337136470240 2629278529020 2804563764288 3236035112640 3505704705360 3824405133120 4206845646432 4674272940480 5258557058040 7011409410720 8413691292864 10517114116080 14022818821440 21034228232160 42068456464320
- Sum of all divisors σ(n): 181580590416960
- Sum of proper divisors (its aliquot sum) s(n): 139512133952640
- 42068456464320 is an abundant number, because the sum of its proper divisors (139512133952640) is greater than itself. Its abundance is 97443677488320
Bases of 42068456464320
- Binary: 10011001000010110100110110011101011111110000002
- Hexadecimal: 0x2642D3675FC0
- Base-36: EWTZCSXC0
Squares and roots of 42068456464320
- 42068456464320 squared (420684564643202) is 1769755029290387195433062400
- 42068456464320 cubed (420684564643203) is 74450862402214020154151769103133933568000
-
The
square root of 42068456464320 is 6486020.0789328427 -
The
cube root of 42068456464320 is 34779.1416336195
Scales and comparisons
How big is 42068456464320?- 42,068,456,464,320 seconds is equal to 1,337,646 years, 41 weeks, 7 hours, 12 minutes.
-
To count from 1 to 42,068,456,464,320 would take you about three million, three hundred forty-four thousand, one hundred sixteen 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 42068456464320 cubic inches would be around 2898.3 feet tall.
Recreational maths with 42068456464320
- 42068456464320 backwards is 02346465486024
- 42068456464320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42068456464320's digits is 54
- More coming soon!
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"Number 42068456464320 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 42068456464320 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/42068456464320/
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The information we have on file for 42068456464320 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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