138177126424228736000
138,177,126,424,228,736,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138177126424228736000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1232 divisors.
138177126424228736000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred thirty-two divisors.
Prime factorization of 138177126424228736000:
210 × 53 × 136 × 6073
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 607 × 607 × 607)See below for interesting mathematical facts about the number 138177126424228736000 from the Numbermatics database.
Names of 138177126424228736000
- Cardinal: 138177126424228736000 can be written as One hundred thirty-eight quintillion, one hundred seventy-seven quadrillion, one hundred twenty-six trillion, four hundred twenty-four billion, two hundred twenty-eight million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38177126424228736 × 1020
Factors of 138177126424228736000
Divisors of 138177126424228736000
- Number of divisors d(n): 1232
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 200 208 250 256 260 320 325 338 400 416 500 512 520 607 640 650 676 800 832 845 1000 1024 1040 1214 1280 1300 1352 1600 1625 1664 1690 2000 2080 2197 2428 2560 2600 2704 3035 3200 3250 3328 3380 4000 4160 4225 4394 4856 5120 5200 5408 6070 6400 6500 6656 6760 7891 8000 8320 8450 8788 9712 10400 10816 10985 12140 12800 13000 13312 13520 15175 15782 16000 16640 16900 17576 19424 20800 21125 21632 21970 24280 25600 26000 27040 28561 30350 31564 32000 33280 33800 35152 38848 39455 41600 42250 43264 43940 48560 52000 54080 54925 57122 60700 63128 64000 66560 67600 70304 75875 77696 78910 83200 84500 86528 87880 97120 102583 104000 108160 109850 114244 121400 126256 128000 135200 140608 142805 151750 155392 157820 166400 169000 173056 175760 194240 197275 205166 208000 216320 219700 228488 242800 252512 270400 274625 281216 285610 303500 310784 315640 332800 338000 351520 368449 371293 388480 394550 410332 416000 432640 439400 456976 485600 505024 512915 540800 549250 562432 571220 607000 621568 631280 676000 703040 714025 736898 742586 776960 789100 820664 832000 865280 878800 913952 971200 986375 1010048 1025830 1081600 1098500 1124864 1142440 1214000 1262560 1333579 1352000 1406080 1428050 1473796 1485172 1553920 1578200 1641328 1664000 1757600 1827904 1842245 1856465 1942400 1972750 2020096 2051660 2163200 2197000 2249728 2284880 2428000 2525120 2564575 2667158 2704000 2812160 2856100 2947592 2970344 3107840 3156400 3282656 3515200 3570125 3655808 3684490 3712930 3884800 3945500 4040192 4103320 4326400 4394000 4569760 4789837 4826809 4856000 5050240 5129150 5334316 5408000 5624320 5712200 5895184 5940688 6312800 6565312 6667895 7030400 7140250 7311616 7368980 7425860 7769600 7891000 8080384 8206640 8788000 9139520 9211225 9282325 9579674 9653618 9712000 10100480 10258300 10668632 10816000 11248640 11424400 11790368 11881376 12625600 12822875 13130624 13335790 14060800 14280500 14623232 14737960 14851720 15539200 15782000 16413280 17336527 17576000 18279040 18422450 18564650 19159348 19307236 19424000 20200960 20516600 21337264 21632000 22848800 23580736 23762752 23949185 24134045 25251200 25645750 26261248 26671580 28121600 28561000 29246464 29475920 29703440 31564000 32826560 33339475 34673054 35152000 36558080 36844900 37129300 38318696 38614472 38848000 40401920 41033200 42674528 45697600 46056125 46411625 47161472 47525504 47898370 48268090 50502400 51291500 52522496 53343160 56243200 57122000 58951840 59406880 62267881 63128000 65653120 66678950 69346108 70304000 73116160 73689800 74258600 76637392 77228944 77696000 82066400 85349056 86682635 91395200 92112250 92823250 94322944 95051008 95796740 96536180 101004800 102583000 105044992 106686320 114244000 117903680 118813760 119745925 120670225 124535762 126256000 131306240 133357900 138692216 140608000 146232320 147379600 148517200 153274784 154457888 164132800 166697375 170698112 173365270 182790400 184224500 185646500 188645888 190102016 191593480 193072360 202009600 205166000 213372640 223648543 225374851 228488000 235807360 237627520 239491850 241340450 249071524 252512000 262612480 266715800 277384432 281216000 294759200 297034400 306549568 308915776 311339405 328265600 333394750 341396224 346730540 365580800 368449000 371293000 377291776 380204032 383186960 386144720 410332000 426745280 433413175 447297086 450749702 456976000 471614720 475255040 478983700 482680900 498143048 505024000 525224960 533431600 554768864 589518400 594068800 598729625 603351125 613099136 617831552 622678810 656531200 666789500 682792448 693461080 731161600 736898000 742586000 766373920 772289440 809482453 820664000 853490560 866826350 894594172 901499404 913952000 943229440 950510080 957967400 965361800 996286096 1010048000 1066863200 1109537728 1118242715 1126874255 1179036800 1188137600 1197459250 1206702250 1226198272 1235663104 1245357620 1313062400 1333579000 1365584896 1386922160 1473796000 1485172000 1532747840 1544578880 1556697025 1618964906 1641328000 1706981120 1733652700 1789188344 1802998808 1827904000 1886458880 1901020160 1915934800 1930723600 1992572192 2133726400 2167065875 2219075456 2236485430 2253748510 2358073600 2376275200 2394918500 2413404500 2452396544 2471326208 2490715240 2626124800 2667158000 2773844320 2907431059 2929873063 2947592000 2970344000 3065495680 3089157760 3113394050 3237929812 3282656000 3413962240 3467305400 3578376688 3605997616 3655808000 3831869600 3861447200 3985144384 4047412265 4267452800 4334131750 4438150912 4472970860 4507497020 4716147200 4752550400 4789837000 4826809000 4904793088 4942652416 4981430480 5334316000 5547688640 5591213575 5634371275 5814862118 5859746126 5895184000 5940688000 6130991360 6178315520 6226788100 6475859624 6565312000 6827924480 6934610800 7156753376 7211995232 7663739200 7722894400 7783485125 7970288768 8094824530 8534905600 8668263500 8876301824 8945941720 9014994040 9432294400 9505100800 9579674000 9653618000 9962860960 10523271889 10668632000 11095377280 11182427150 11268742550 11629724236 11719492252 11790368000 11881376000 12261982720 12356631040 12453576200 12951719248 13130624000 13869221600 14313506752 14423990464 14537155295 14649365315 15327478400 15445788800 15566970250 15940577536 16189649060 17069811200 17336527000 17752603648 17891883440 18029988080 19159348000 19307236000 19925721920 20237061325 21046543778 21337264000 22190754560 22364854300 22537485100 23259448472 23438984504 23580736000 23762752000 24523965440 24713262080 24907152400 25903438496 27738443200 27956067875 28171856375 28627013504 28847980928 29074310590 29298730630 30654956800 30891577600 31133940500 31881155072 32379298120 34139622400 34673054000 35783766880 36059976160 37796603767 38318696000 38614472000 39851443840 40474122650 42093087556 42674528000 44381509120 44729708600 45074970200 46518896944 46877969008 47161472000 47525504000 49814304800 51806876992 52616359445 55476886400 55912135750 56343712750 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302372830136 306549568000 308915776000 318811550720 323792981200 336744700448 357837668800 360599761600 363428882375 366234132875 372151175552 375023752064 377966037670 398514438400 404741226500 414455015936 420930875560 443815091200 447297086000 450749702000 465188969440 468779690080 491355848971 498143048000 518068769920 526163594450 547210138228 554768864000 572540270080 576959618560 581486211800 585974612600 604745660272 613099136000 617831552000 647585962400 673489400896 684012672785 715675337600 721199523200 726857764750 732468265750 744302351104 750047504128 755932075340 797028876800 809482453000 828910031872 841861751120 894594172000 901499404000 930377938880 937559380160 944915094175 982711697942 996286096000 1036137539840 1052327188900 1094420276456 1109537728000 1145080540160 1153919237120 1162972423600 1171949225200 1209491320544 1295171924800 1315408986125 1346978801792 1368025345570 1431350675200 1442399046400 1453715529500 1464936531500 1488604702208 1500095008256 1511864150680 1594057753600 1618964906000 1683723502240 1778432949241 1789188344000 1802998808000 1860755877760 1875118760320 1889830188350 1965423395884 1992572192000 2072275079680 2104654377800 2188840552912 2219075456000 2325944847200 2343898450400 2418982641088 2456779244855 2590343849600 2630817972250 2693957603584 2736050691140 2862701350400 2884798092800 2907431059000 2929873063000 2977209404416 3000190016512 3023728301360 3237929812000 3367447004480 3420063363925 3556865898482 3578376688000 3605997616000 3721511755520 3750237520640 3779660376700 3930846791768 3985144384000 4144550159360 4209308755600 4377681105824 4651889694400 4687796900800 4724575470875 4837965282176 4913558489710 5180687699200 5261635944500 5387915207168 5472101382280 5725402700800 5769596185600 5814862118000 5859746126000 6047456602720 6387626036623 6475859624000 6734894008960 6840126727850 7113731796964 7156753376000 7211995232000 7443023511040 7500475041280 7559320753400 7861693583536 7970288768000 8418617511200 8755362211648 8892164746205 9303779388800 9375593801600 9449150941750 9675930564352 9827116979420 10361375398400 10523271889000 10775830414336 10944202764560 11629724236000 11719492252000 12094913205440 12283896224275 12775252073246 12951719248000 13469788017920 13680253455700 14227463593928 14313506752000 14423990464000 14886047022080 15000950082560 15118641506800 15723387167072 16837235022400 17100316819625 17510724423296 17784329492410 18607558777600 18751187603200 18898301883500 19351861128704 19654233958840 20722750796800 21046543778000 21888405529120 23259448472000 23438984504000 24189826410880 24567792448550 25550504146492 25903438496000 26939576035840 27360506911400 28454927187856 28627013504000 28847980928000 30237283013600 31446774334144 31938130183115 33674470044800 34200633639250 35021448846592 35568658984820 37215117555200 37502375206400 37796603767000 38703722257408 39308467917680 42093087556000 43776811058240 44460823731025 46518896944000 46877969008000 48379652821760 49135584897100 51101008292984 51806876992000 53879152071680 54721013822800 56909854375712 60474566027200 61419481121375 62893548668288 63876260366230 67348940089600 68401267278500 70042897693184 71137317969640 74430235110400 75004750412800 75593207534000 78616935835360 83039138476099 84186175112000 87553622116480 88921647462050 93037793888000 93755938016000 96759305643520 98271169794200 102202016585968 103613753984000 109442027645600 113819708751424 120949132054400 122838962242750 125787097336576 127752520732460 134697880179200 136802534557000 140085795386368 142274635939280 151186415068000 157233871670720 159690650915575 166078276952198 168372350224000 175107244232960 177843294924100 186075587776000 187511876032000 193518611287040 196542339588400 204404033171936 218884055291200 222304118655125 227639417502848 241898264108800 245677924485500 251574194673152 255505041464920 269395760358400 273605069114000 284549271878560 302372830136000 314467743341440 319381301831150 332156553904396 336744700448000 350214488465920 355686589848200 372151175552000 375023752064000 393084679176800 408808066343872 415195692380495 437768110582400 444608237310250 455278835005696 483796528217600 491355848971000 503148389346304 511010082929840 547210138228000 569098543757120 604745660272000 628935486682880 638762603662300 664313107808792 673489400896000 700428976931840 711373179696400 786169358353600 798453254577875 817616132687744 830391384760990 875536221164800 889216474620500 910557670011392 967593056435200 982711697942000 1022020165859680 1079508800189287 1094420276456000 1138197087514240 1209491320544000 1257870973365760 1277525207324600 1328626215617584 1346978801792000 1422746359392800 1572338716707200 1596906509155750 1635232265375488 1660782769521980 1751072442329600 1778432949241000 1821115340022784 1965423395884000 2044040331719360 2075978461902475 2159017600378574 2188840552912000 2276394175028480 2418982641088000 2515741946731520 2555050414649200 2657252431235168 2845492718785600 3144677433414400 3193813018311500 3270464530750976 3321565539043960 3502144884659200 3556865898482000 3930846791768000 4088080663438720 4151956923804950 4318035200757148 4377681105824000 4552788350056960 4837965282176000 5110100829298400 5314504862470336 5397544000946435 5690985437571200 6289354866828800 6387626036623000 6540929061501952 6643131078087920 7113731796964000 7861693583536000 8176161326877440 8303913847609900 8636070401514296 8755362211648000 9105576700113920 10220201658596800 10379892309512375 10629009724940672 10795088001892870 11381970875142400 12578709733657600 12775252073246000 13286262156175840 14227463593928000 15723387167072000 16352322653754880 16607827695219800 17272140803028592 17510724423296000 20440403317193600 20759784619024750 21258019449881344 21590176003785740 22763941750284800 25550504146492000 26572524312351680 26987720004732175 28454927187856000 31446774334144000 32704645307509760 33215655390439600 34544281606057184 40880806634387200 41519569238049500 42516038899762688 43180352007571480 45527883500569600 51101008292984000 53145048624703360 53975440009464350 56909854375712000 62893548668288000 66431310780879200 69088563212114368 81761613268774400 83039138476099000 85032077799525376 86360704015142960 102202016585968000 106290097249406720 107950880018928700 113819708751424000 132862621561758400 134938600023660875 138177126424228736 163523226537548800 166078276952198000 172721408030285920 204404033171936000 212580194498813440 215901760037857400 227639417502848000 265725243123516800 269877200047321750 276354252848457472 332156553904396000 345442816060571840 408808066343872000 425160388997626880 431803520075714800 531450486247033600 539754400094643500 552708505696914944 664313107808792000 690885632121143680 817616132687744000 863607040151429600 1062900972494067200 1079508800189287000 1105417011393829888 1328626215617584000 1381771264242287360 1727214080302859200 2125801944988134400 2159017600378574000 2657252431235168000 2763542528484574720 3454428160605718400 4318035200757148000 5314504862470336000 5527085056969149440 6908856321211436800 8636070401514296000 10629009724940672000 13817712642422873600 17272140803028592000 27635425284845747200 34544281606057184000 69088563212114368000 138177126424228736000
- Sum of all divisors σ(n): 374064758571187257600
- Sum of proper divisors (its aliquot sum) s(n): 235887632146958521600
- 138177126424228736000 is an abundant number, because the sum of its proper divisors (235887632146958521600) is greater than itself. Its abundance is 97710505722729785600
Bases of 138177126424228736000
- Binary: 11101111101100101111100010001100011100110000110010100101100000000002
- Hexadecimal: 0x77D97C46398652C00
- Base-36: T5SZBD3NCLPFK
Squares and roots of 138177126424228736000
- 138177126424228736000 squared (1381771264242287360002) is 19092918266857291194155492448157696000000
- 138177126424228736000 cubed (1381771264242287360003) is 2638204581167006132253693279281649576801180902752256000000000
-
The
square root of 138177126424228736000 is 11754876708.1679225923 -
The
cube root of 138177126424228736000 is 5169859.2424546309
Scales and comparisons
How big is 138177126424228736000?- 138,177,126,424,228,736,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,177,126,424,228,736,000 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 138177126424228736000 cubic inches would be around 430821.6 feet tall.
Recreational maths with 138177126424228736000
- 138177126424228736000 backwards is 000637822424621771831
- The number of decimal digits it has is: 21
- The sum of 138177126424228736000's digits is 74
- More coming soon!
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"Number 138177126424228736000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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The information we have on file for 138177126424228736000 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 138177126424228736000, math, Factors of 138177126424228736000, curriculum, school, college, exams, university, Prime factorization of 138177126424228736000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred seventy-seven quadrillion, one hundred twenty-six trillion, four hundred twenty-four billion, two hundred twenty-eight million, seven hundred thirty-six thousand.