842121201400938144400
842,121,201,400,938,144,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 842121201400938144400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2025 divisors.
842121201400938144400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and twenty-five divisors.
Prime factorization of 842121201400938144400:
24 × 52 × 112 × 134 × 2572 × 30372
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 257 × 257 × 3037 × 3037)See below for interesting mathematical facts about the number 842121201400938144400 from the Numbermatics database.
Names of 842121201400938144400
- Cardinal: 842121201400938144400 can be written as Eight hundred forty-two quintillion, one hundred twenty-one quadrillion, two hundred one trillion, four hundred billion, nine hundred thirty-eight million, one hundred forty-four thousand, four hundred.
Scientific notation
- Scientific notation: 8.421212014009381444 × 1020
Factors of 842121201400938144400
Divisors of 842121201400938144400
- Number of divisors d(n): 2025
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 121 130 143 169 176 200 208 220 242 257 260 275 286 325 338 400 440 484 514 520 550 572 605 650 676 715 845 880 968 1028 1040 1100 1144 1210 1285 1300 1352 1430 1573 1690 1859 1936 2056 2197 2200 2288 2420 2570 2600 2704 2827 2860 3025 3037 3146 3341 3380 3575 3718 4112 4225 4394 4400 4840 5140 5200 5654 5720 6050 6074 6292 6425 6682 6760 7150 7436 7865 8450 8788 9295 9680 10280 10985 11308 11440 12100 12148 12584 12850 13364 13520 14135 14300 14872 15185 15730 16705 16900 17576 18590 20449 20560 21970 22616 24167 24200 24296 25168 25700 26728 28270 28561 28600 29744 30370 31097 31460 33407 33410 33800 35152 36751 37180 39325 39481 40898 43433 43940 45232 46475 48334 48400 48592 51400 53456 54925 56540 57122 57200 60740 62194 62920 66049 66814 66820 67600 70675 73502 74360 75925 78650 78962 81796 83525 86866 87880 92950 96668 102245 102800 109850 113080 114244 120835 121480 124388 125840 132098 133628 133640 141350 142805 147004 148720 151850 155485 157300 157924 163592 167035 167050 173732 175760 183755 185900 193336 197405 204490 217165 219700 226160 228488 241670 242960 248776 264196 265837 267256 267280 282700 285610 294008 303700 310970 314171 314600 315848 327184 330245 334070 334100 347464 367477 367510 371800 386672 394810 404261 408980 434291 434330 439400 456976 477763 483340 497552 511225 513253 528392 531674 534512 564629 565400 571220 588016 604175 607400 621940 628342 629200 631696 660490 668140 668200 694928 714025 726539 734954 735020 743600 777425 780509 789620 808522 817960 835175 858637 868582 868660 878800 918775 955526 966680 987025 1022450 1026506 1056784 1063348 1085825 1129258 1130800 1142440 1208350 1214800 1243880 1256684 1320980 1329185 1336280 1336400 1428050 1453078 1469908 1470040 1554850 1561018 1570855 1579240 1617044 1635920 1651225 1670350 1717274 1737164 1737320 1837385 1837550 1911052 1933360 1974050 2021305 2044900 2053012 2126696 2171455 2171650 2258516 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791952588805300 796871642077225 820376307007400 823630692357512 853191359287696 871147847685830 881316888709400 916569564257776 958262632454413 969448577580340 969535635554200 980765097941200 1008317060976368 1029538365446890 1041556323020200 1066489199109620 1078938489371600 1083218575941008 1132492201991579 1145711955322220 1145814842018600 1159086024839600 1179400163020816 1211810721975425 1260283150854442 1260396326220460 1274994627323560 1333111498887025 1338399875080957 1340227457978200 1354023219926260 1386435958842506 1393836556297328 1432139944152775 1474250203776020 1489425541918886 1491459350123600 1575495407775575 1583905177610600 1593743284154450 1640752614014800 1647261384715024 1692529024907825 1742295695371660 1762633777418800 1842812754720025 1916525264908826 1938897155160680 1939071271108400 2059076730893780 2083112646040400 2132978398219240 2177869619214575 2264984403983158 2291423910644440 2291629684037200 2423621443950850 2520566301708884 2520792652440920 2549989254647120 2573845913617225 2666222997774050 2676799750161914 2680454915956400 2708046439852520 2772871917685012 2864279888305550 2948500407552040 2978851083837772 3150707877136105 3150990815551150 3167810355221200 3187486568308900 3385058049815650 3466089897106265 3484591390743320 3685625509440050 3723563854797215 3833050529817652 3877794310321360 4118153461787560 4265956796438480 4355739238429150 4529968807966316 4582847821288880 4791313162272065 4847242887901700 5041132603417768 5041585304881840 5147691827234450 5332445995548100 5353599500323828 5416092879705040 5545743835370024 5662461009957895 5728559776611100 5897000815104080 5957702167675544 6301415754272210 6301981631102300 6374973136617800 6691999375404785 6770116099631300 6932179794212530 6969182781486640 7371251018880100 7447127709594430 7666101059635304 8191840480553873 8236306923575120 8711478476858300 9059937615932632 9582626324544130 9694485775803400 10082265206835536 10295383654468900 10664891991096200 10707199000647656 11091487670740048 11324922019915790 11457119553222200 11915404335351088 12457414221907369 12602831508544420 12603963262204600 12749946273235600 13383998750809570 13540232199262600 13864359588425060 14722398625890527 14742502037760200 14894255419188860 15332202119270608 15753539385680525 16383680961107746 17330449485531325 17399198376052441 17422956953716600 18119875231865264 18617819273986075 19165252649088260 19388971551606800 20590767308937800 21329783982192400 21414398001295312 22649844039831580 22914239106444400 23956565811360325 24914828443814738 25205663017088840 25207926524409200 26767997501619140 27080464398525200 27728719176850120 28312305049789475 29444797251781054 29485004075520400 29788510838377720 31507078771361050 32767361922215492 33459996877023925 34660898971062650 34798396752104882 34845913907433200 37235638547972150 38330505298176520 40959202402769365 41181534617875600 45299688079663160 47913131622720650 49829656887629476 50411326034177680 53535995003238280 55457438353700240 56624610099578950 58889594503562108 59577021676755440 62287071109536845 63014157542722100 65534723844430984 66919993754047850 69321797942125300 69596793504209764 73611993129452635 74471277095944300 76661010596353040 81918404805538730 86995991880262205 90599376159326320 95826263245441300 99659313775258952 107071990006476560 113249220199157900 117779189007124216 124574142219073690 126028315085444200 131069447688861968 133839987508095700 138643595884250600 139193587008419528 147223986258905270 148942554191888600 161946384884795797 163836809611077460 173991983760524410 191391182136576851 191652526490882600 199318627550517904 204796012013846825 226498440398315800 235558378014248432 249148284438147380 252056630170888400 267679975016191400 277287191768501200 278387174016839056 294447972517810540 297885108383777200 311435355547684225 323892769769591594 327673619222154920 347983967521048820 368059965647263175 382782364273153702 383305052981765200 409592024027693650 434979959401311025 452996880796631600 498296568876294760 535359950032382800 588895945035621080 622870711095368450 647785539539183188 655347238444309840 695967935042097640 736119931294526350 765564728546307404 809731924423978985 819184048055387300 869959918802622050 956955910682884255 996593137752589520 1177791890071242160 1245741422190736900 1295571079078366376 1391935870084195280 1472239862589052700 1531129457092614808 1619463848847957970 1638368096110774600 1739919837605244100 1913911821365768510 2105303003502345361 2491482844381473800 2591142158156732752 2944479725178105400 3062258914185229616 3238927697695915940 3276736192221549200 3479839675210488200 3827823642731537020 4048659622119894925 4210606007004690722 4784779553414421275 4982965688762947600 5888959450356210800 6477855395391831880 6959679350420976400 7655647285463074040 8097319244239789850 8421212014009381444 9569559106828842550 10526515017511726805 12955710790783663760 15311294570926148080 16194638488479579700 16842424028018762888 19139118213657685100 21053030035023453610 32389276976959159400 33684848056037525776 38278236427315370200 42106060070046907220 52632575087558634025 64778553953918318800 76556472854630740400 84212120140093814440 105265150175117268050 168424240280187628880 210530300350234536100 421060600700469072200 842121201400938144400
- Sum of all divisors σ(n): 2419364824307177413317
- Sum of proper divisors (its aliquot sum) s(n): 1577243622906239268917
- 842121201400938144400 is an abundant number, because the sum of its proper divisors (1577243622906239268917) is greater than itself. Its abundance is 735122421505301124517
Bases of 842121201400938144400
- Binary: 10110110100110110001111000001011101100110000000001101010100010100100002
- Hexadecimal: 0x2DA6C782ECC01AA290
- Base-36: 4XQ1IJUD2CAIZ4
Squares and roots of 842121201400938144400
- 842121201400938144400 squared (8421212014009381444002) is 709168117848959424538430244434915251360000
- 842121201400938144400 cubed (8421212014009381444003) is 597205507398207796430574059243584446501073430811537976384000000
-
842121201400938144400 is a
perfect square number . Itssquare root is 29019324620 -
The
cube root of 842121201400938144400 is 9443323.4902909851
Scales and comparisons
How big is 842121201400938144400?- 842,121,201,400,938,144,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 842,121,201,400,938,144,400 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 842121201400938144400 cubic inches would be around 786943.6 feet tall.
Recreational maths with 842121201400938144400
- 842121201400938144400 backwards is 004441839004102121248
- The number of decimal digits it has is: 21
- The sum of 842121201400938144400's digits is 58
- More coming soon!
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"Number 842121201400938144400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 842121201400938144400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/842121201400938144400/
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Numbermatics. 2024. "Number 842121201400938144400 - Facts about the integer". https://numbermatics.com/n/842121201400938144400/
The information we have on file for 842121201400938144400 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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