42428767704008590746000
42,428,767,704,008,590,746,000 is an even composite number composed of six prime numbers multiplied together.
42428767704008590746000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42428767704008590746000:
24 × 32 × 53 × 373 × 3659 × 1727096769971
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 373 × 3659 × 1727096769971)See below for interesting mathematical facts about the number 42428767704008590746000 from the Numbermatics database.
Names of 42428767704008590746000
- Cardinal: 42428767704008590746000 can be written as Forty-two sextillion, four hundred twenty-eight quintillion, seven hundred sixty-seven quadrillion, seven hundred four trillion, eight billion, five hundred ninety million, seven hundred forty-six thousand.
Scientific notation
- Scientific notation: 4.2428767704008590746 × 1022
Factors of 42428767704008590746000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1727096774013
Divisors of 42428767704008590746000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 373 375 400 450 500 600 720 746 750 900 1000 1119 1125 1200 1492 1500 1800 1865 2000 2238 2250 2984 3000 3357 3600 3659 3730 4476 4500 5595 5968 6000 6714 7318 7460 8952 9000 9325 10977 11190 13428 14636 14920 16785 17904 18000 18295 18650 21954 22380 26856 27975 29272 29840 32931 33570 36590 37300 43908 44760 46625 53712 54885 55950 58544 65862 67140 73180 74600 83925 87816 89520 91475 93250 109770 111900 131724 134280 139875 146360 149200 164655 167850 175632 182950 186500 219540 223800 263448 268560 274425 279750 292720 329310 335700 365900 373000 419625 439080 447600 457375 526896 548850 559500 658620 671400 731800 746000 823275 839250 878160 914750 1097700 1119000 1317240 1342800 1364807 1372125 1463600 1646550 1678500 1829500 2195400 2238000 2634480 2729614 2744250 3293100 3357000 3659000 4094421 4116375 4390800 5459228 5488500 6586200 6714000 6824035 7318000 8188842 8232750 10918456 10977000 12283263 13172400 13648070 16377684 16465500 20472105 21836912 21954000 24566526 27296140 32755368 32931000 34120175 40944210 49133052 54592280 61416315 65510736 65862000 68240350 81888420 98266104 102360525 109184560 122832630 136480700 163776840 170600875 196532208 204721050 245665260 272961400 307081575 327553680 341201750 409442100 491330520 511802625 545922800 614163150 682403500 818884200 982661040 1023605250 1228326300 1364807000 1535407875 1637768400 2047210500 2456652600 2729614000 3070815750 4094421000 4913305200 6141631500 8188842000 12283263000 24566526000 1727096769971 3454193539942 5181290309913 6908387079884 8635483849855 10362580619826 13816774159768 15543870929739 17270967699710 20725161239652 25906451549565 27633548319536 31087741859478 34541935399420 41450322479304 43177419249275 51812903099130 62175483718956 69083870798840 77719354648695 82900644958608 86354838498550 103625806198260 124350967437912 129532257747825 138167741597680 155438709297390 172709676997100 207251612396520 215887096246375 248701934875824 259064515495650 310877418594780 345419353994200 388596773243475 414503224793040 431774192492750 518129030991300 621754837189560 644207095199183 647661288739125 690838707988400 777193546486950 863548384985500 1036258061982600 1243509674379120 1288414190398366 1295322577478250 1554387092973900 1727096769971000 1932621285597549 1942983866217375 2072516123965200 2576828380796732 2590645154956500 3108774185947800 3221035475995915 3454193539942000 3865242571195098 3885967732434750 5153656761593464 5181290309913000 5797863856792647 6217548371895600 6319447081323889 6442070951991830 7730485142390196 7771935464869500 9663106427987745 10307313523186928 10362580619826000 11595727713585294 12638894162647778 12884141903983660 15460970284780392 15543870929739000 16105177379979575 18958341243971667 19326212855975490 23191455427170588 25277788325295556 25768283807967320 28989319283963235 30921940569560784 31087741859478000 31597235406619445 32210354759959150 37916682487943334 38652425711950980 46382910854341176 48315532139938725 50555576650591112 51536567615934640 56875023731915001 57978638567926470 63194470813238890 64420709519918300 75833364975886668 77304851423901960 80525886899897875 92765821708682352 94791706219858335 96631064279877450 101111153301182224 113750047463830002 115957277135852940 126388941626477780 128841419039836600 144946596419816175 151666729951773336 154609702847803920 157986177033097225 161051773799795750 189583412439716670 193262128559754900 227500094927660004 231914554271705880 241577660699693625 252777883252955560 257682838079673200 284375118659575005 289893192839632350 303333459903546672 315972354066194450 322103547599591500 379166824879433340 386524257119509800 455000189855320008 463829108543411760 473958531099291675 483155321399387250 505555766505911120 568750237319150010 579786385679264700 631944708132388900 644207095199183000 724732982099080875 758333649758866680 773048514239019600 789930885165486125 910000379710640016 947917062198583350 966310642798774500 1137500474638300020 1159572771358529400 1263889416264777800 1288414190398366000 1421875593297875025 1449465964198161750 1516667299517733360 1579861770330972250 1895834124397166700 1932621285597549000 2275000949276600040 2319145542717058800 2357153761333810597 2369792655496458375 2527778832529555600 2843751186595750050 2898931928396323500 3159723540661944500 3791668248794333400 3865242571195098000 4550001898553200080 4714307522667621194 4739585310992916750 5687502373191500100 5797863856792647000 6319447081323889000 7071461284001431791 7109377966489375125 7583336497588666800 9428615045335242388 9479170621985833500 11375004746383000200 11595727713585294000 11785768806669052985 12638894162647778000 14142922568002863582 14218755932978750250 18857230090670484776 18958341243971667000 21214383852004295373 22750009492766000400 23571537613338105970 28285845136005727164 28437511865957500500 35357306420007158955 37714460181340969552 37916682487943334000 42428767704008590746 47143075226676211940 56571690272011454328 56875023731915001000 58928844033345264925 70714612840014317910 84857535408017181492 94286150453352423880 106071919260021476865 113143380544022908656 113750047463830002000 117857688066690529850 141429225680028635820 169715070816034362984 176786532100035794775 188572300906704847760 212143838520042953730 235715376133381059700 282858451360057271640 294644220166726324625 339430141632068725968 353573064200071589550 424287677040085907460 471430752266762119400 530359596300107384325 565716902720114543280 589288440333452649250 707146128400143179100 848575354080171814920 883932660500178973875 942861504533524238800 1060719192600214768650 1178576880666905298500 1414292256800286358200 1697150708160343629840 1767865321000357947750 2121438385200429537300 2357153761333810597000 2651797981500536921625 2828584513600572716400 3535730642000715895500 4242876770400859074600 4714307522667621194000 5303595963001073843250 7071461284001431791000 8485753540801718149200 10607191926002147686500 14142922568002863582000 21214383852004295373000 42428767704008590746000
- Sum of all divisors σ(n): 148627442257509447872640
- Sum of proper divisors (its aliquot sum) s(n): 106198674553500857126640
- 42428767704008590746000 is an abundant number, because the sum of its proper divisors (106198674553500857126640) is greater than itself. Its abundance is 63769906849492266380640
Bases of 42428767704008590746000
- Binary: 10001111110000010001011011110110010110001100110101100010000111100001100100002
- Hexadecimal: 0x8FC116F658CD621E190
- Base-36: 6WQ9VW556PWIF80
Squares and roots of 42428767704008590746000
- 42428767704008590746000 squared (424287677040085907460002) is 1800200328880722421148876208168916836516000000
- 42428767704008590746000 cubed (424287677040085907460003) is 76380281574760038994404656187667914673521730968901632480936000000000
-
The
square root of 42428767704008590746000 is 205982445135.5226308913 -
The
cube root of 42428767704008590746000 is 34878152.5438870171
Scales and comparisons
How big is 42428767704008590746000?- 42,428,767,704,008,590,746,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,428,767,704,008,590,746,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42428767704008590746000 cubic inches would be around 2906512.7 feet tall.
Recreational maths with 42428767704008590746000
- 42428767704008590746000 backwards is 00064709580040776782424
- 42428767704008590746000 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 42428767704008590746000's digits is 90
- More coming soon!
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The information we have on file for 42428767704008590746000 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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