4138041118967076321
4,138,041,118,967,076,321 is an odd composite number composed of five prime numbers multiplied together.
4138041118967076321 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 4138041118967076321:
32 × 79 × 113 × 132 × 373
(3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 37 × 37 × 37)See below for interesting mathematical facts about the number 4138041118967076321 from the Numbermatics database.
Names of 4138041118967076321
- Cardinal: 4138041118967076321 can be written as Four quintillion, one hundred thirty-eight quadrillion, forty-one trillion, one hundred eighteen billion, nine hundred sixty-seven million, seventy-six thousand, three hundred twenty-one.
Scientific notation
- Scientific notation: 4.138041118967076321 × 1018
Factors of 4138041118967076321
Divisors of 4138041118967076321
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 7 9 11 13 21 33 37 39 49 63 77 91 99 111 117 121 143 147 169 231 259 273 333 343 363 407 429 441 481 507 539 637 693 777 819 847 1001 1029 1089 1183 1221 1287 1331 1369 1443 1521 1573 1617 1813 1859 1911 2331 2401 2541 2849 3003 3087 3367 3549 3663 3773 3993 4107 4329 4459 4477 4719 4851 5291 5439 5577 5733 5929 6253 7007 7203 7623 8281 8547 9009 9317 9583 10101 10647 11011 11319 11979 12321 12691 13013 13377 13431 14157 15059 15873 16317 16731 16807 17303 17787 17797 18759 19943 20449 21021 21609 23569 24843 25641 26411 27951 28749 30303 31213 31339 33033 33957 37037 38073 39039 40131 40293 41503 43771 45177 47619 49049 49247 50421 50653 51909 53361 53391 56277 57967 58201 59829 61347 63063 65219 67081 68783 70707 74529 77077 79233 83853 86247 88837 91091 93639 94017 99099 105413 111111 114219 117117 117649 121121 124509 124579 131313 135531 139601 143143 147147 147741 151263 151959 155727 160173 164983 165649 173901 174603 179487 184041 184877 195657 195767 201243 206349 212121 218491 219373 224939 231231 231361 237699 259259 266511 273273 280917 282051 290521 306397 316239 333333 343343 344729 352947 354571 363363 373527 373737 393939 405769 407407 418803 429429 441441 443223 455877 456533 469567 481481 494949 496947 521703 523809 539539 554631 557183 586971 587301 603729 619047 621859 637637 640211 655473 658119 658489 674817 693693 694083 737891 756613 777777 799533 819819 823543 847847 871563 872053 919191 948717 977207 1002001 1030029 1034187 1058841 1063713 1090089 1121211 1154881 1159543 1217307 1222221 1256409 1288287 1294139 1369599 1370369 1408701 1444443 1484847 1490841 1529437 1535611 1574573 1618617 1619527 1663893 1671549 1761903 1814813 1822139 1865577 1912911 1920633 1966419 1974357 1975467 2024451 2033647 2082249 2144779 2153437 2213673 2269839 2333331 2403401 2413103 2470629 2481997 2543541 2544971 2614689 2616159 2757573 2840383 2851849 2931621 3006003 3090087 3102561 3191139 3195731 3286969 3370367 3464643 3478629 3651921 3666663 3776773 3882417 3900281 4108797 4111107 4226103 4333329 4353013 4463459 4481477 4588311 4606833 4609423 4723719 4855851 4858581 5014647 5165237 5296291 5444439 5466417 5596731 5738733 5761899 5764801 5926401 5934929 6100941 6104371 6129013 6434337 6460311 6641019 6809517 6840449 7014007 7210203 7239309 7243379 7411887 7445991 7630623 7634913 7848477 8084167 8116801 8322743 8521149 8555547 8560357 8794863 9018009 9058973 9587193 9592583 9860907 10111101 10393929 10435887 10706059 10749277 11022011 11330319 11336689 11647251 11700843 12333321 12703691 12754973 13059039 13390377 13444431 13764933 13820499 13828269 14171157 14235529 14575743 15013453 15074059 15495711 15888873 16333317 16399251 16823807 16891721 17294403 17373979 17804787 17814797 18302823 18313113 18387039 19303011 19380933 19882681 19962943 20521347 21042021 21630609 21717927 21730137 22337973 22370117 22904739 23008783 23592569 23687807 24252501 24350403 24968229 25563447 25666641 25681071 26437411 27176919 27301967 27994681 28761579 28777749 29582721 30333303 30471091 31244213 31370339 32118177 32247831 32265961 33066033 33990957 34010067 35102529 36156659 37074037 38111073 38264919 39177117 40171131 40333293 40353607 41484807 41544503 42706587 42730597 42903091 45040359 45222177 46487133 47666619 47883143 49098049 50471421 50675163 50703653 51883209 52121937 53414361 53444391 54939339 55161117 56589169 56817607 58259201 59648043 59888829 59922499 61564041 63126063 63412811 65190411 67110351 67148081 67419143 69026349 70777707 71063421 72757503 73051209 74904687 74942413 75244939 77043213 77154077 79312233 79356823 79677169 81530757 81905901 83984043 86333247 88925837 89284811 91413273 93732639 94111017 94163927 96354531 96743493 96797883 99198099 99648703 102030201 105094171 105518413 108469977 111222111 114333219 114794757 117766649 118242047 121060821 121617853 124633509 124703579 128119761 128191791 128709273 135121077 135666531 139178767 139740601 143649429 147294147 151414263 152025489 152110959 156365811 156590819 160333173 161061481 165147983 165814649 169767507 170452821 174777603 178944129 179666487 179767497 185061877 190238433 191113769 195962767 201331053 201444243 202257429 207079047 212333121 213190263 213297637 218709491 219592373 224827239 225734817 225861727 231462231 237936699 238070469 239031507 245717703 251952129 253096613 259518259 266777511 267854433 274239819 281197917 282333051 282491781 290393649 290811521 298946109 299114179 300321637 307941491 315282513 316555239 325409931 333666333 335182001 343686343 353299947 354726141 354925571 363182463 364853559 373900527 374110737 384575373 386127819 396124183 397723249 407814407 417536301 419221803 419457493 430948287 441882441 443889677 456332877 469772457 470036567 471934001 483184443 495443949 497443947 509302521 511358463 524332809 524596891 526714573 539302491 540078539 555185631 555497761 557740183 570715299 573341307 587888301 604332729 606772287 622480859 624993677 639892911 656128473 658777119 659147489 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431621760297 456789209877 458864159369 470506603567 483395858253 483667627443 485620087029 497196791847 509811823521 511869821463 527241287573 541989295617 542294006527 555740816631 558297923183 571286014299 571607196069 573914648307 589968204903 604937061729 607684967813 623103339859 640532803911 643118493633 675156198717 677881655451 678262766181 697235151249 698238461921 717811615521 718173143779 721072250437 739367519891 756993313713 760049128839 781309244331 801132865533 825190909543 851697464541 852176295971 876013395159 897735165327 898239879537 901865875911 923365470573 927092893419 950615382717 954933520849 979162391207 1006551549003 1007117440693 1060959740841 1065841489713 1095655237677 1128557797367 1133113536401 1189560921549 1194362916747 1227771669663 1258923074409 1294865280891 1296728572139 1333750124161 1339134179383 1376592478107 1411519810701 1451002882329 1456860261087 1500609818477 1581723862719 1582613121089 1625967886851 1626882019581 1667222449893 1674893769549 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7426718185887 7460890427991 7669586663739 7899904581569 7931794754807 8326926450843 8360540417229 8594401687641 8812461520863 9064056966237 9077100004973 9336250869127 9373939255681 9636147346749 9880638674907 10157020176303 10198021827609 10504268729339 11072067039033 11078291847623 11388174137067 11670557149251 11724256386843 12003751117449 12052207614447 12414135771037 13085170137039 13505488366293 14243518089801 14671251365771 14730475973213 15142517259177 15526717917711 15961031705619 17408744331979 17885646755361 17895702215391 18396281298339 18863037470277 18939183394131 19507927640201 20053603937829 20562410215347 21137582529063 21149466254553 22382671283973 22484343809081 23054823574783 23699713744707 23795384264421 24980779352529 25081621251687 25834823091077 26572406319823 27231300014919 27356598235967 28008752607381 28121817767043 28908442040247 29641916024721 30532063653091 31512806188017 33216201117099 33234875542869 34164522411201 35172769160529 35332540271413 36229008474659 37242407313111 39255510411117 41756638502579 44013754097313 44191427919639 45427551777531 46580153753133 47978957169143 49348754593957 52226232995937 53687106646173 55522563283649 58523782920603 60160811813487 61687230646041 63448398763659 65617574789767 67453031427243 69164470724349 71099141234121 71386152793263 73529881105373 77504469273231 77548042933361 79717218959469 81693900044757 82069794707901 84026257822143 84365453301129 86898950397259 91596190959273 94538418564051 99704626628607 102698759560397 103113331812491 105997620814239 108687025423977 111727221939333 121861210323853 125269915507737 132041262291939 132574283758917 136555493481407 143936871507429 148046263781871 156678698987811 161383765023481 166567689850947 175571348761809 191496187651769 196852724369301 202359094281729 207493412173047 220589643316119 232513407819693 232644128800083 239151656878407 246209384123703 247327781899891 253603059322613 260696851191777 274788572877819 292296469518053 308096278681191 309339995437473 317992862442717 326061076271931 335852700184001 345441282157699 365583630971559 375809746523211 388657942985543 409666480444221 431810614522287 444138791345613 459323023528369 484151295070443 499703069552841 542836300533527 574488562955307 590558173107903 661768929948357 697932386400249 721793322687437 741983345699673 760809177967839 782090553575331 853028472266971 876889408554159 924288836043573 928019986312419 955888454369849 1007558100552003 1036323846473097 1096750892914677 1129686355164367 1165973828956629 1228999441332663 1340473313562383 1377969070585107 1452453885211329 1628508901600581 1723465688865921 1775221415258291 2165379968062311 2225950037099019 2282427533903517 2559085416800913 2630668225662477 2720605600898801 2867665363109547 3022674301656009 3108971539419291 3215261164698583 3389059065493101 3497921486869887 3799854103734689 4021419940687149 4133907211755321 4885526704801743 5052553258812059 5325664245774873 5971199305868797 6496139904186933 7677256250402739 8161816802696403 8602996089328641 9383313194936681 9645783494095749 10167177196479303 11399562311204067 12064259822061447 12426549906808037 15157659776436177 15976992737324619 17913597917606391 24485450408089209 28149939584810043 28937350482287247 34198686933612201 35367872811684413 37279649720424111 41798395141081579 45472979329308531 53740793752819173 65683192364556767 84449818754430129 106103618435053239 111838949161272333 125395185423244737 197049577093670301 318310855305159717 376185556269734211 459782346551897369 591148731281010903 1379347039655692107 4138041118967076321
- Sum of all divisors σ(n): 8536283513141978880
- Sum of proper divisors (its aliquot sum) s(n): 4398242394174902559
- 4138041118967076321 is an abundant number, because the sum of its proper divisors (4398242394174902559) is greater than itself. Its abundance is 260201275207826238
Bases of 4138041118967076321
- Binary: 111001011011010100011001111001001100011111111000010101111000012
- Hexadecimal: 0x396D467931FE15E1
- Base-36: VFST5IL5FLY9
Squares and roots of 4138041118967076321
- 4138041118967076321 squared (41380411189670763212) is 17123384302262293086019570366638895041
- 4138041118967076321 cubed (41380411189670763213) is 70857268338636728705017063504497625781914059589755424161
-
The
square root of 4138041118967076321 is 2034217569.2307537243 -
The
cube root of 4138041118967076321 is 1605455.4814667909
Scales and comparisons
How big is 4138041118967076321?- 4,138,041,118,967,076,321 seconds is equal to 131,576,907,781 years, 29 weeks, 2 days, 7 hours, 25 minutes, 21 seconds.
-
To count from 1 to 4,138,041,118,967,076,321 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 4138041118967076321 cubic inches would be around 133788 feet tall.
Recreational maths with 4138041118967076321
- 4138041118967076321 backwards is 1236707698111408314
- The number of decimal digits it has is: 19
- The sum of 4138041118967076321's digits is 72
- More coming soon!
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"Number 4138041118967076321 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 4138041118967076321 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/4138041118967076321/
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Numbermatics. 2024. "Number 4138041118967076321 - Facts about the integer". https://numbermatics.com/n/4138041118967076321/
The information we have on file for 4138041118967076321 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 4138041118967076321, math, Factors of 4138041118967076321, curriculum, school, college, exams, university, Prime factorization of 4138041118967076321, STEM, science, technology, engineering, physics, economics, calculator, four quintillion, one hundred thirty-eight quadrillion, forty-one trillion, one hundred eighteen billion, nine hundred sixty-seven million, seventy-six thousand, three hundred twenty-one.