13838728170337227942400
13,838,728,170,337,227,942,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13838728170337227942400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
13838728170337227942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 13838728170337227942400:
29 × 52 × 7 × 11 × 294 × 1408972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 29 × 29 × 29 × 29 × 140897 × 140897)See below for interesting mathematical facts about the number 13838728170337227942400 from the Numbermatics database.
Names of 13838728170337227942400
- Cardinal: 13838728170337227942400 can be written as Thirteen sextillion, eight hundred thirty-eight quintillion, seven hundred twenty-eight quadrillion, one hundred seventy trillion, three hundred thirty-seven billion, two hundred twenty-seven million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.38387281703372279424 × 1022
Factors of 13838728170337227942400
Divisors of 13838728170337227942400
- Number of divisors d(n): 1800
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 50 55 56 58 64 70 77 80 88 100 110 112 116 128 140 145 154 160 175 176 200 203 220 224 232 256 275 280 290 308 319 320 350 352 385 400 406 440 448 464 512 550 560 580 616 638 640 700 704 725 770 800 812 841 880 896 928 1015 1100 1120 1160 1232 1276 1280 1400 1408 1450 1540 1595 1600 1624 1682 1760 1792 1856 1925 2030 2200 2233 2240 2320 2464 2552 2560 2800 2816 2900 3080 3190 3200 3248 3364 3520 3584 3712 3850 4060 4205 4400 4466 4480 4640 4928 5075 5104 5600 5632 5800 5887 6160 6380 6400 6496 6728 7040 7424 7700 7975 8120 8410 8800 8932 8960 9251 9280 9856 10150 10208 11165 11200 11600 11774 12320 12760 12800 12992 13456 14080 14848 15400 15950 16240 16820 17600 17864 17920 18502 18560 19712 20300 20416 21025 22330 22400 23200 23548 24389 24640 25520 25984 26912 28160 29435 30800 31900 32480 33640 35200 35728 37004 37120 39424 40600 40832 42050 44660 44800 46255 46400 47096 48778 49280 51040 51968 53824 55825 58870 61600 63800 64757 64960 67280 70400 71456 74008 74240 81200 81664 84100 89320 89600 92510 92800 94192 97556 98560 102080 103936 107648 111650 117740 121945 123200 127600 129514 129920 134560 140800 140897 142912 147175 148016 162400 163328 168200 170723 178640 185020 185600 188384 195112 197120 204160 215296 223300 231275 235480 243890 246400 255200 259028 259840 268279 269120 281794 285824 294350 296032 323785 324800 336400 341446 357280 370040 371200 376768 390224 408320 430592 446600 462550 470960 487780 492800 510400 518056 519680 536558 538240 563588 571648 588700 592064 609725 647570 649600 672800 682892 704485 707281 714560 740080 753536 780448 816640 853615 893200 925100 941920 975560 985600 986279 1020800 1036112 1073116 1076480 1127176 1143296 1177400 1184128 1219450 1295140 1299200 1341395 1345600 1365784 1408970 1414562 1429120 1480160 1507072 1549867 1560896 1618925 1707230 1786400 1850200 1877953 1883840 1951120 1972558 2041600 2072224 2146232 2152960 2254352 2354800 2368256 2438900 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470145342970519040 491432108321634515 514221468874005200 532586521333791100 542269912630769120 561636695224725160 567416793240281600 587681678713148800 596496903893846032 617800364747197676 619737043006593280 658203480158726656 677837390788461400 681710747307252608 702045869030906450 745621129867307540 747958500180371200 772250455933997095 774671303758241600 786291373314615224 822754350198408320 852138434134065760 867631860209230592 898618712359560256 932026412334134425 982864216643269030 1028442937748010400 1065173042667582200 1081150638307595933 1084539825261538240 1123273390449450320 1175363357426297600 1192993807787692064 1235600729494395352 1239474086013186560 1355674781576922800 1363421494614505216 1404091738061812900 1491242259734615080 1495917000360742400 1544500911867994190 1549342607516483200 1572582746629230448 1645508700396816640 1704276868268131520 1735263720418461184 1797237424719120512 1864052824668268850 1965728433286538060 2056885875496020800 2130346085335164400 2162301276615191866 2169079650523076480 2246546780898900640 2350726714852595200 2385987615575384128 2457160541608172575 2471201458988790704 2711349563153845600 2726842989229010432 2808183476123625800 2982484519469230160 3089001823735988380 3098685215032966400 3145165493258460896 3291017400793633280 3408553736536263040 3594474849438241024 3728105649336537700 3861252279669985475 3931456866573076120 4113771750992041600 4260692170670328800 4324602553230383732 4338159301046152960 4493093561797801280 4771975231150768256 4914321083216345150 4942402917977581408 5405753191537979665 5422699126307691200 5616366952247251600 5964969038938460320 6178003647471976760 6197370430065932800 6290330986516921792 6817107473072526080 7188949698876482048 7456211298673075400 7722504559339970950 7862913733146152240 8227543501984083200 8521384341340657600 8649205106460767464 8676318602092305920 8986187123595602560 9543950462301536512 9828642166432690300 9884805835955162816 10811506383075959330 10845398252615382400 11232733904494503200 11929938077876920640 12356007294943953520 12580661973033843584 13634214946145052160 14912422597346150800 15445009118679941900 15725827466292304480 16455087003968166400 17042768682681315200 17298410212921534928 17972374247191205120 19087900924603073024 19657284332865380600 19769611671910325632 21623012766151918660 21690796505230764800 22465467808989006400 23859876155753841280 24712014589887907040 25161323946067687168 27028765957689898325 29824845194692301600 30890018237359883800 31451654932584608960 34085537365362630400 34596820425843069856 35944748494382410240 39314568665730761200 39539223343820651264 43246025532303837320 43381593010461529600 44930935617978012800 47719752311507682560 49424029179775814080 50322647892135374336 54057531915379796650 59649690389384603200 61780036474719767600 62903309865169217920 68171074730725260800 69193640851686139712 78629137331461522400 79078446687641302528 86492051064607674640 89861871235956025600 95439504623015365120 98848058359551628160 108115063830759593300 119299380778769206400 123560072949439535200 125806619730338435840 138387281703372279424 157258274662923044800 172984102129215349280 179723742471912051200 197696116719103256320 216230127661519186600 238598761557538412800 247120145898879070400 251613239460676871680 276774563406744558848 314516549325846089600 345968204258430698560 395392233438206512640 432460255323038373200 477197523115076825600 494240291797758140800 553549126813489117696 629033098651692179200 691936408516861397120 864920510646076746400 988480583595516281600 1258066197303384358400 1383872817033722794240 1729841021292153492800 1976961167191032563200 2767745634067445588480 3459682042584306985600 6919364085168613971200 13838728170337227942400
- Sum of all divisors σ(n): 44273827865885456700576
- Sum of proper divisors (its aliquot sum) s(n): 30435099695548228758176
- 13838728170337227942400 is an abundant number, because the sum of its proper divisors (30435099695548228758176) is greater than itself. Its abundance is 16596371525211000815776
Bases of 13838728170337227942400
- Binary: 101110111000110010111011101101111000110010100011011110101010101010000000002
- Hexadecimal: 0x2EE32EEDE328DEAAA00
- Base-36: 294K62VAO6VOC1S
Squares and roots of 13838728170337227942400
- 13838728170337227942400 squared (138387281703372279424002) is 191510397372485160552517757501135337717760000
- 13838728170337227942400 cubed (138387281703372279424003) is 2650260331031087031499229792223849615558798856901689316737024000000
-
The
square root of 13838728170337227942400 is 117638123796.4004080045 -
The
cube root of 13838728170337227942400 is 24008520.2216076505
Scales and comparisons
How big is 13838728170337227942400?- 13,838,728,170,337,227,942,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,838,728,170,337,227,942,400 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 13838728170337227942400 cubic inches would be around 2000710 feet tall.
Recreational maths with 13838728170337227942400
- 13838728170337227942400 backwards is 00424972273307182783831
- The number of decimal digits it has is: 23
- The sum of 13838728170337227942400's digits is 91
- More coming soon!
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"Number 13838728170337227942400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 13838728170337227942400 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/13838728170337227942400/
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Numbermatics. 2024. "Number 13838728170337227942400 - Facts about the integer". https://numbermatics.com/n/13838728170337227942400/
The information we have on file for 13838728170337227942400 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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