42628313460096
42,628,313,460,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 42628313460096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42628313460096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42628313460096:
27 × 35 × 7 × 132 × 47 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 47 × 157 × 157)See below for interesting mathematical facts about the number 42628313460096 from the Numbermatics database.
Names of 42628313460096
- Cardinal: 42628313460096 can be written as Forty-two trillion, six hundred twenty-eight billion, three hundred thirteen million, four hundred sixty thousand and ninety-six.
Scientific notation
- Scientific notation: 4.2628313460096 × 1013
Factors of 42628313460096
Divisors of 42628313460096
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 47 48 52 54 56 63 64 72 78 81 84 91 94 96 104 108 112 117 126 128 141 144 156 157 162 168 169 182 188 189 192 208 216 224 234 243 252 273 282 288 312 314 324 329 336 338 351 364 376 378 384 416 423 432 448 468 471 486 504 507 546 564 567 576 611 624 628 648 658 672 676 702 728 752 756 819 832 846 864 896 936 942 972 987 1008 1014 1053 1092 1099 1128 1134 1152 1183 1222 1248 1256 1269 1296 1316 1344 1352 1404 1413 1456 1504 1512 1521 1638 1664 1692 1701 1728 1833 1872 1884 1944 1974 2016 2028 2041 2106 2184 2198 2256 2268 2366 2444 2457 2496 2512 2538 2592 2632 2688 2704 2808 2826 2912 2961 3008 3024 3042 3159 3276 3297 3384 3402 3456 3549 3666 3744 3768 3807 3888 3948 4032 4056 4082 4212 4239 4277 4368 4396 4512 4536 4563 4732 4888 4914 4992 5024 5076 5184 5264 5408 5499 5616 5652 5824 5922 6016 6048 6084 6123 6318 6552 6594 6768 6804 7098 7332 7371 7379 7488 7536 7614 7776 7896 7943 8064 8112 8164 8424 8478 8554 8736 8792 8883 9024 9072 9126 9464 9776 9828 9891 10048 10152 10368 10528 10647 10816 10998 11232 11304 11421 11648 11844 12096 12168 12246 12636 12717 12831 13104 13188 13536 13608 13689 14196 14287 14664 14742 14758 14976 15072 15228 15552 15792 15886 16224 16328 16497 16848 16956 17108 17472 17584 17766 18048 18144 18252 18369 18928 19552 19656 19782 20096 20304 21056 21294 21632 21996 22113 22137 22464 22608 22842 23688 23829 24192 24336 24492 24649 25272 25434 25662 26208 26376 26533 26649 27072 27216 27378 28392 28574 29328 29484 29516 29673 30144 30456 31104 31584 31772 31941 32448 32656 32994 33696 33912 34216 34944 35168 35532 36288 36504 36738 37856 38151 38493 39104 39312 39564 40608 41067 42112 42588 42861 43992 44226 44274 44928 45216 45684 47376 47658 48672 48984 49298 49491 50544 50868 51324 51653 52416 52752 53066 53298 54144 54432 54756 55107 55601 56784 57148 58656 58968 59032 59346 60288 60912 63168 63544 63882 64896 65312 65988 66411 67392 67824 68432 70336 71064 71487 72576 73008 73476 73947 75712 76302 76986 78208 78624 79128 79599 79947 81216 82134 85176 85722 87984 88452 88548 89019 90432 91368 94752 95316 95823 95927 97344 97968 98596 98982 101088 101736 102648 103306 104832 105504 106132 106596 108864 109512 110214 111202 113568 114296 115479 117312 117936 118064 118692 121824 126336 127088 127764 128583 130624 131976 132822 134784 135648 136864 140672 142128 142974 146016 146952 147894 148473 151424 152604 153972 154959 157248 158256 159198 159894 162432 164268 165321 166803 170352 171444 172543 175968 176904 177096 178038 180864 182736 185731 189504 190632 191646 191854 194688 195936 197192 197964 199233 202176 203472 205296 206612 211008 212264 213192 214461 217728 219024 220428 221841 222404 227136 228592 230958 234624 235872 236128 237384 238797 243648 254176 255528 257166 261248 263952 265644 267057 271296 273728 284256 285948 287469 287781 292032 293904 295788 296946 305208 307944 309918 314496 316512 318396 319788 320437 328536 330642 333606 340704 342888 345086 346437 351936 353808 354192 356076 365472 371462 379008 381264 383292 383708 385749 391872 394384 395928 398466 404352 406944 410592 413224 422016 424528 426384 428922 438048 440856 443682 444808 454272 457184 461916 464877 471744 472256 474768 477594 487296 495963 500409 508352 511056 514332 517629 527904 531288 534114 542592 547456 557193 568512 571896 574938 575562 584064 587808 591576 593892 597699 610416 615888 619836 633024 636792 639576 640874 643383 657072 661284 665523 667212 671489 681408 685776 690172 692874 703872 707616 708384 712152 716391 730944 742924 762528 766584 767416 771498 783744 788768 791856 796932 813888 821184 826448 849056 852768 857844 863343 876096 881712 887364 889616 914368 923832 929754 943488 944512 949536 955188 961311 991926 1000818 1016704 1022112 1028664 1035258 1039311 1055808 1062576 1068228 1114386 1137024 1143792 1149876 1151124 1157247 1158503 1175616 1183152 1187784 1195398 1220832 1231776 1239672 1247051 1266048 1273584 1279152 1281748 1286766 1314144 1322568 1331046 1334424 1342978 1362816 1371552 1380344 1385748 1394631 1415232 1416768 1424304 1432782 1461888 1485848 1501227 1525056 1533168 1534832 1542996 1552887 1577536 1583712 1593864 1627776 1642368 1652896 1671579 1698112 1705536 1715688 1726686 1752192 1763424 1774728 1779232 1793097 1828736 1847664 1859508 1899072 1910376 1922622 1930149 1983852 1996569 2001636 2014467 2044224 2057328 2070516 2078622 2111616 2125152 2136456 2149173 2228772 2243059 2287584 2299752 2302248 2314494 2317006 2351232 2366304 2375568 2390796 2441664 2463552 2479344 2494102 2547168 2558304 2563496 2573532 2590029 2628288 2645136 2662092 2668848 2685956 2743104 2760688 2771496 2789262 2830464 2833536 2848608 2865564 2883933 2971696 3002454 3050112 3066336 3069664 3085992 3105774 3155072 3167424 3187728 3305792 3343158 3396224 3411072 3431376 3453372 3471741 3475509 3526848 3549456 3558464 3586194 3695328 3719016 3741153 3798144 3820752 3845244 3860298 3967704 3993138 4003272 4028934 4088448 4114656 4141032 4157244 4165681 4183893 4250304 4272912 4298346 4457544 4486118 4503681 4575168 4599504 4604496 4628988 4634012 4658661 4732608 4751136 4781592 4883328 4927104 4958688 4988204 5014737 5094336 5116608 5126992 5147064 5180058 5256576 5290272 5324184 5337696 5371912 5486208 5521376 5542992 5578524 5697216 5731128 5767866 5943392 5989707 6004908 6043401 6132672 6139328 6171984 6211548 6334848 6375456 6447519 6611584 6686316 6729177 6862752 6906744 6943482 6951018 7053696 7098912 7116928 7172388 7390656 7438032 7482306 7641504 7690488 7720596 7770087 7935408 7986276 8006544 8057868 8109521 8229312 8282064 8314488 8331362 8367786 8500608 8545824 8596692 8651799 8729357 8915088 8972236 9007362 9150336 9199008 9208992 9257976 9268024 9317322 9465216 9502272 9563184 9917376 9976408 10029474 10188672 10233216 10253984 10294128 10360116 10426527 10580544 10648368 10675392 10743824 11042752 11085984 11157048 11223459 11394432 11462256 11535732 11886784 11979414 12009816 12086802 12265344 12278656 12343968 12423096 12497043 12551679 12750912 12895038 13372632 13458354 13511043 13725504 13813488 13886964 13902036 13975983 14197824 14344776 14781312 14876064 14964612 15044211 15060539 15283008 15380976 15441192 15540174 15870816 15972552 16013088 16115736 16219042 16458624 16564128 16628976 16662724 16735572 17091648 17193384 17303598 17458714 17830176 17944472 18014724 18130203 18398016 18417984 18515952 18536048 18634644 19004544 19126368 19834752 19952816 20058948 20187531 20507968 20588256 20720232 20853054 21161088 21296736 21350784 21487648 22085504 22171968 22314096 22446918 22924512 23071464 23310261 23773568 23958828 24019632 24173604 24328563 24687936 24846192 24994086 25103358 25501824 25790076 25955397 26188071 26745264 26916708 27022086 27451008 27626976 27773928 27804072 27951966 28395648 28689552 29159767 29752128 29929224 30088422 30121078 30566016 30761952 30882384 31080348 31279581 31741632 31945104 32026176 32231472 32438084 33128256 33257952 33325448 33471144 33670377 34183296 34386768 34607196 34917428 35660352 35888944 36029448 36260406 36796032 36835968 37031904 37072096 37269288 37491129 38252736 39905632 40117896 40375062 41015936 41176512 41440464 41706108 41927949 42593472 42975296 44343936 44628192 44893836 45132633 45181617 45849024 46142928 46620522 47917656 48039264 48347208 48657126 49375872 49692384 49988172 50206716 51580152 51910794 52376142 53490528 53833416 54044172 54390609 55253952 55547856 55608144 55903932 57379104 58319534 59504256 59858448 60176844 60242156 60562593 61523904 61764768 62160696 62559162 63483264 63890208 64052352 64462944 64876168 66256512 66515904 66650896 66942288 67340754 68773536 69214392 69834856 71320704 71777888 72058896 72520812 72985689 74063808 74144192 74538576 74982258 76505472 77866191 78564213 79811264 80235792 80750124 82353024 82880928 83412216 83855898 85186944 85950592 87479301 89256384 89787672 90265266 90363234 91698048 92285856 93241044 93838743 95835312 96078528 96694416 97314252 99384768 99976344 100413432 101011131 103160304 103821588 104752284 105423773 106981056 107666832 108088344 108781218 110507904 111095712 111216288 111807864 112473387 114758208 116639068 119716896 120353688 120484312 121125186 123047808 123529536 124321392 125118324 127780416 128925888 129752336 133031808 133301792 133884576 134681508 135544851 137547072 138428784 139669712 143555776 144117792 145041624 145971378 148127616 148288384 149077152 149964516 155732382 157128426 159622528 160471584 161500248 163171827 165761856 166824432 167711796 174958602 178512768 179575344 180530532 180726468 181687779 184571712 186482088 187677486 191670624 192157056 193388832 194628504 195787007 198769536 199952688 200826864 202022262 206320608 207643176 209504568 210847546 213962112 215333664 216176688 217562436 218957067 222191424 222432576 223615728 224946774 229516416 233278136 235692639 239433792 240707376 240968624 242250372 247059072 248642784 250236648 255560832 257851776 259504672 262437903 266603584 267769152 269363016 271089702 275094144 276857568 279339424 281516229 287111552 288235584 290083248 291942756 298154304 299929032 303033393 311464764 314256852 316271319 320943168 323000496 326343654 331523712 333648864 335423592 337420161 349917204 359150688 361061064 361452936 363375558 369143424 372964176 375354972 383341248 386777664 389257008 391574014 399905376 401653728 404044524 406634553 412641216 415286352 419009136 421695092 430667328 432353376 435124872 437914134 444382848 444865152 447231456 449893548 466556272 471385278 478867584 481414752 481937248 484500744 497285568 500473296 519009344 524875806 533207168 535538304 538726032 542179404 545063337 553715136 558678848 563032458 576471168 580166496 583885512 587361021 596308608 599858064 606066786 622929528 628513704 632542638 641886336 646000992 652687308 656871201 667297728 670847184 674840322 699834408 707077917 718301376 722122128 722905872 726751116 745928352 750709944 766682496 773555328 778514016 783148028 787313709 799810752 803307456 808089048 813269106 825282432 830572704 838018272 843390184 861334656 864706752 870249744 875828268 894462912 899787096 933112544 942770556 948813957 962829504 963874496 969001488 994571136 1000946592 1012260483 1038018688 1049751612 1077452064 1084358808 1090126674 1107430272 1117357696 1126064916 1160332992 1167771024 1174722042 1199716128 1212133572 1219903659 1245859056 1257027408 1265085276 1292001984 1305374616 1313742402 1334595456 1341694368 1349680644 1370509049 1399668816 1414155834 1436602752 1444244256 1445811744 1453502232 1491856704 1501419888 1557028032 1566296056 1574627418 1599621504 1606614912 1616178096 1626538212 1661145408 1676036544 1686780368 1729413504 1740499488 1751656536 1762083063 1788925824 1799574192 1866225088 1885541112 1897627914 1925659008 1927748992 1938002976 1970613603 2001893184 2024520966 2099503224 2121233751 2154904128 2168717616 2180253348 2252129832 2320665984 2335542048 2349444084 2361941127 2399432256 2424267144 2439807318 2491718112 2514054816 2530170552 2584003968 2610749232 2627484804 2683388736 2699361288 2741018098 2799337632 2828311668 2846441871 2888488512 2891623488 2907004464 2983713408 3002839776 3114056064 3132592112 3149254836 3232356192 3253076424 3322290816 3352073088 3373560736 3480998976 3503313072 3524166126 3599148384 3659710977 3732450176 3771082224 3795255828 3876005952 3941227206 4003786368 4049041932 4111527147 4199006448 4242467502 4309808256 4337435232 4360506696 4504259664 4671084096 4698888168 4723882254 4798864512 4848534288 4879614636 4983436224 5028109632 5060341104 5221498464 5254969608 5286249189 5366777472 5398722576 5482036196 5598675264 5656623336 5692883742 5776977024 5783246976 5814008928 6005679552 6265184224 6298509672 6464712384 6506152848 6747121472 6961997952 7006626144 7048332252 7085823381 7198296768 7319421954 7542164448 7590511656 7752011904 7882454412 8098083864 8223054294 8398012896 8484935004 8539325613 8674870464 8721013392 9008519328 9342168192 9397776336 9447764508 9697068576 9759229272 9966872448 10056219264 10120682208 10442996928 10509939216 10572498378 10797445152 10964072392 11197350528 11313246672 11385767484 11628017856 12011359104 12334581441 12530368448 12597019344 12929424768 13012305696 13494242944 14013252288 14096664504 14171646762 14396593536 14638843908 15084328896 15181023312 15764908824 15858747567 16196167728 16446108588 16796025792 16969870008 17078651226 17349740928 17442026784 18017038656 18795552672 18895529016 19394137152 19518458544 20241364416 20885993856 21019878432 21144996756 21594890304 21928144784 22626493344 22771534968 23256035712 24669162882 25060736896 25194038688 25617976839 26024611392 28026504576 28193329008 28343293524 29277687816 30168657792 30362046624 31529817648 31717495134 32392335456 32892217176 33592051584 33939740016 34157302452 34884053568 36034077312 37003744323 37591105344 37791058032 38788274304 39036917088 40482728832 42039756864 42289993512 43189780608 43856289568 45252986688 45543069936 47576242701 49338325764 50388077376 51235953678 52049222784 56386658016 56686587048 58555375632 60724093248 63059635296 63434990268 64784670912 65784434352 67879480032 68314604904 69768107136 74007488646 75182210688 75582116064 78073834176 84079513728 84579987024 87712579136 90505973376 91086139872 95152485402 98676651528 100776154752 102471907356 111011232969 112773316032 113373174096 117110751264 121448186496 126119270592 126869980536 129569341824 131568868704 135758960064 136629209808 148014977292 151164232128 156147668352 169159974048 175425158272 182172279744 190304970804 197353303056 204943814712 222022465938 225546632064 226746348192 234221502528 252238541184 253739961072 263137737408 271517920128 273258419616 296029954584 302328464256 333033698907 338319948096 364344559488 380609941608 394706606112 409887629424 444044931876 453492696384 468443005056 507479922144 526275474816 546516839232 592059909168 666067397814 676639896192 761219883216 789413212224 819775258848 888089863752 906985392768 1014959844288 1093033678464 1184119818336 1332134795628 1522439766432 1578826424448 1639550517696 1776179727504 2029919688576 2368239636672 2664269591256 3044879532864 3279101035392 3552359455008 4736479273344 5328539182512 6089759065728 7104718910016 10657078365024 14209437820032 21314156730048 42628313460096
- Sum of all divisors σ(n): 161807305121280
- Sum of proper divisors (its aliquot sum) s(n): 119178991661184
- 42628313460096 is an abundant number, because the sum of its proper divisors (119178991661184) is greater than itself. Its abundance is 76550678201088
Bases of 42628313460096
- Binary: 10011011000101001011010111101100101101100000002
- Hexadecimal: 0x26C52D7B2D80
- Base-36: F3Z6D7C00
Squares and roots of 42628313460096
- 42628313460096 squared (426283134600962) is 1817173108452201807784329216
- 42628313460096 cubed (426283134600963) is 77463024878357482707820465269031342964736
-
The
square root of 42628313460096 is 6529036.1815581939 -
The
cube root of 42628313460096 is 34932.7452593983
Scales and comparisons
How big is 42628313460096?- 42,628,313,460,096 seconds is equal to 1,355,448 years, 26 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 42,628,313,460,096 would take you about three million, three hundred eighty-eight thousand, six hundred twenty-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 42628313460096 cubic inches would be around 2911.1 feet tall.
Recreational maths with 42628313460096
- 42628313460096 backwards is 69006431382624
- 42628313460096 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42628313460096's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42628313460096 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 42628313460096 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42628313460096/
Chicago style:
Numbermatics. 2024. "Number 42628313460096 - Facts about the integer". https://numbermatics.com/n/42628313460096/
The information we have on file for 42628313460096 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 42628313460096, math, Factors of 42628313460096, curriculum, school, college, exams, university, Prime factorization of 42628313460096, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred twenty-eight billion, three hundred thirteen million, four hundred sixty thousand and ninety-six.