138004175101972447232
138,004,175,101,972,447,232 is an even composite number composed of four prime numbers multiplied together.
What does the number 138004175101972447232 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 792 divisors.
138004175101972447232 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 138004175101972447232:
221 × 313 × 432 × 10932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 31 × 31 × 43 × 43 × 1093 × 1093)See below for interesting mathematical facts about the number 138004175101972447232 from the Numbermatics database.
Names of 138004175101972447232
- Cardinal: 138004175101972447232 can be written as One hundred thirty-eight quintillion, four quadrillion, one hundred seventy-five trillion, one hundred one billion, nine hundred seventy-two million, four hundred forty-seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38004175101972447232 × 1020
Factors of 138004175101972447232
Divisors of 138004175101972447232
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 344 496 512 688 961 992 1024 1093 1333 1376 1849 1922 1984 2048 2186 2666 2752 3698 3844 3968 4096 4372 5332 5504 7396 7688 7936 8192 8744 10664 11008 14792 15376 15872 16384 17488 21328 22016 29584 29791 30752 31744 32768 33883 34976 41323 42656 44032 46999 57319 59168 59582 61504 63488 65536 67766 69952 82646 85312 88064 93998 114638 118336 119164 123008 126976 131072 135532 139904 165292 170624 176128 187996 229276 236672 238328 246016 253952 262144 271064 279808 330584 341248 352256 375992 458552 473344 476656 492032 507904 524288 542128 559616 661168 682496 704512 751984 917104 946688 953312 984064 1015808 1048576 1050373 1084256 1119232 1194649 1281013 1322336 1364992 1409024 1456969 1503968 1776889 1834208 1893376 1906624 1968128 2020957 2031616 2097152 2100746 2168512 2238464 2389298 2562026 2644672 2729984 2818048 2913938 3007936 3553778 3668416 3786752 3813248 3936256 4041914 4063232 4201492 4337024 4476928 4778596 5124052 5289344 5459968 5636096 5827876 6015872 7107556 7336832 7573504 7626496 7872512 8083828 8126464 8402984 8674048 8953856 9557192 10248104 10578688 10919936 11272192 11655752 12031744 14215112 14673664 15147008 15252992 15745024 16167656 16252928 16805968 17348096 17907712 19114384 20496208 21157376 21839872 22544384 23311504 24063488 28430224 29347328 30294016 30505984 31490048 32335312 32505856 32561563 33611936 34696192 35815424 37034119 38228768 40992416 42314752 43679744 45088768 45166039 46623008 48126976 51369907 55083559 56860448 58694656 60588032 61011968 62649667 62980096 64670624 65011712 65123126 67223872 69392384 71630848 74068238 76457536 81984832 84629504 87359488 90177536 90332078 93246016 96253952 102739814 110167118 113720896 117389312 121176064 122023936 125299334 125960192 129341248 130246252 134447744 138784768 143261696 148136476 152915072 163969664 169259008 174718976 180664156 186492032 192507904 205479628 220334236 227441792 234778624 242352128 244047872 250598668 251920384 258682496 260492504 268895488 277569536 286523392 296272952 305830144 327939328 338518016 349437952 361328312 372984064 385015808 410959256 440668472 454883584 469557248 484704256 488095744 501197336 503840768 517364992 520985008 537790976 555139072 573046784 592545904 611660288 655878656 677036032 698875904 722656624 745968128 770031616 821918512 881336944 909767168 939114496 969408512 976191488 1002394672 1007681536 1034729984 1041970016 1075581952 1110278144 1146093568 1148057689 1185091808 1223320576 1311757312 1354072064 1397751808 1400147209 1445313248 1491936256 1540063232 1592467117 1643837024 1762673888 1819534336 1878228992 1938817024 1942139677 1952382976 2004789344 2015363072 2069459968 2083940032 2151163904 2208906001 2220556288 2292187136 2296115378 2370183616 2446641152 2623514624 2708144128 2795503616 2800294418 2890626496 2983872512 3080126464 3184934234 3287674048 3525347776 3639068672 3756457984 3877634048 3884279354 3904765952 4009578688 4138919936 4167880064 4302327808 4417812002 4441112576 4592230756 4740367232 4893282304 5247029248 5416288256 5600588836 5781252992 5967745024 6160252928 6369868468 6575348096 7050695552 7278137344 7512915968 7768558708 7809531904 8019157376 8277839872 8335760128 8604655616 8835624004 8882225152 9184461512 9480734464 9786564608 10494058496 10832576512 11201177672 11562505984 11935490048 12320505856 12739736936 13150696192 14101391104 14556274688 15025831936 15537117416 15619063808 16038314752 16555679744 16671520256 17209311232 17671248008 17764450304 18368923024 18961468928 19573129216 20988116992 21665153024 22402355344 23125011968 23870980096 24641011712 25479473872 26301392384 28202782208 29112549376 30051663872 31074234832 31238127616 32076629504 33111359488 33343040512 34418622464 35342496016 35528900608 35589788359 36737846048 37922937856 39146258432 41976233984 43330306048 44804710688 46250023936 47741960192 49282023424 49366480627 50958947744 52602784768 56405564416 58225098752 60103327744 60206329987 62148469664 62476255232 64153259008 66222718976 66686081024 68476086031 68837244928 70684992032 71057801216 71179576718 73475692096 75845875712 78292516864 83952467968 86660612096 89609421376 92500047872 95483920384 98564046848 98732961254 101917895488 105205569536 112811128832 116450197504 120206655488 120412659974 124296939328 128306518016 132445437952 133372162048 136952172062 137674489856 141369984064 142359153436 146951384192 151691751424 156585033728 167904935936 179218842752 185000095744 190967840768 197465922508 203835790976 210411139072 225622257664 232900395008 240825319948 248593878656 256613036032 264890875904 266744324096 273904344124 275348979712 282739968128 284718306872 293902768384 303383502848 313170067456 335809871872 358437685504 370000191488 381935681536 394931845016 407671581952 420822278144 451244515328 465800790016 481650639896 497187757312 513226072064 529781751808 533488648192 547808688248 550697959424 565479936256 569436613744 587805536768 606767005696 626340134912 671619743744 716875371008 740000382976 763871363072 789863690032 815343163904 841644556288 902489030656 931601580032 963301279792 994375514624 1026452144128 1059563503616 1066977296384 1095617376496 1101395918848 1130959872512 1138873227488 1175611073536 1213534011392 1252680269824 1343239487488 1433750742016 1480000765952 1527742726144 1530360899437 1579727380064 1630686327808 1683289112576 1804978061312 1863203160064 1926602559584 1988751029248 2052904288256 2119127007232 2122758666961 2133954592768 2191234752992 2202791837696 2261919745024 2277746454976 2351222147072 2427068022784 2505360539648 2686478974976 2867501484032 2960001531904 3055485452288 3060721798874 3159454760128 3261372655616 3366578225152 3609956122624 3726406320128 3853205119168 3977502058496 4105808576512 4238254014464 4245517333922 4267909185536 4382469505984 4523839490048 4555492909952 4702444294144 4854136045568 5735002968064 5920003063808 6121443597748 6318909520256 6522745311232 6733156450304 7219912245248 7706410238336 7955004116992 8211617153024 8491034667844 8535818371072 8764939011968 9047678980096 9110985819904 9404888588288 9708272091136 11470005936128 11840006127616 12242887195496 12637819040512 13045490622464 13466312900608 14439824490496 15412820476672 15910008233984 16423234306048 16982069335688 17071636742144 17529878023936 18095357960192 18221971639808 18809777176576 19416544182272 22940011872256 23680012255232 24485774390992 25275638081024 26090981244928 26932625801216 28879648980992 30825640953344 31820016467968 32846468612096 33964138671376 34143273484288 35059756047872 36190715920384 36443943279616 37619554353152 38833088364544 45880023744512 47360024510464 48971548781984 50551276162048 52181962489856 53865251602432 57759297961984 61651281906688 63640032935936 65692937224192 65805518675791 67928277342752 68286546968576 70119512095744 72381431840768 72887886559232 75239108706304 77666176729088 91760047489024 94720049020928 97943097563968 101102552324096 104363924979712 107730503204864 115518595923968 123302563813376 127280065871872 131385874448384 131611037351582 135856554685504 140239024191488 144762863681536 145775773118464 150478217412608 183520094978048 195886195127936 202205104648192 208727849959424 246605127626752 254560131743744 263222074703164 271713109371008 280478048382976 289525727363072 291551546236928 300956434825216 367040189956096 391772390255872 404410209296384 417455699918848 493210255253504 509120263487488 526444149406328 543426218742016 560956096765952 579051454726144 583103092473856 601912869650432 734080379912192 783544780511744 808820418592768 834911399837696 986420510507008 1018240526974976 1052888298812656 1086852437484032 1121912193531904 1158102909452288 1166206184947712 1203825739300864 1468160759824384 1567089561023488 1617640837185536 1669822799675392 1972841021014016 2036481053949952 2105776597625312 2173704874968064 2243824387063808 2316205818904576 2332412369895424 2407651478601728 2936321519648768 3134179122046976 3235281674371072 3339645599350784 3945682042028032 4072962107899904 4211553195250624 4347409749936128 4487648774127616 4632411637809152 4664824739790848 6268358244093952 6470563348742144 7891364084056064 8423106390501248 8694819499872256 8975297548255232 9329649479581696 12536716488187904 12941126697484288 15782728168112128 16846212781002496 17389638999744512 17950595096510464 18659298959163392 25073432976375808 25882253394968576 31565456336224256 33692425562004992 34779277999489024 35901190193020928 37318597918326784 50146865952751616 51764506789937152 63130912672448512 67384851124009984 69558555998978048 71802380386041856 74637195836653568 100293731905503232 103529013579874304 126261825344897024 134769702248019968 139117111997956096 143604760772083712 200587463811006464 269539404496039936 278234223995912192 401174927622012928 539078808992079872 556468447991824384 802349855244025856 1078157617984159744 1112936895983648768 1604699710488051712 2156315235968319488 2225873791967297536 3209399420976103424 4312630471936638976 4451747583934595072 8625260943873277952 17250521887746555904 34501043775493111808 69002087550986223616 138004175101972447232
- Sum of all divisors σ(n): 292262646453911984448
- Sum of proper divisors (its aliquot sum) s(n): 154258471351939537216
- 138004175101972447232 is an abundant number, because the sum of its proper divisors (154258471351939537216) is greater than itself. Its abundance is 16254296249967089984
Bases of 138004175101972447232
- Binary: 11101111011001100010101001000010011111010011110000000000000000000002
- Hexadecimal: 0x77B315213E9E00000
- Base-36: T4HOD8J280PA8
Squares and roots of 138004175101972447232
- 138004175101972447232 squared (1380041751019724472322) is 19045152345575871916364767194483024461824
- 138004175101972447232 cubed (1380041751019724472323) is 2628310539142593896308225323385591282362225008653113038471168
-
The
square root of 138004175101972447232 is 11747517827.2677010325 -
The
cube root of 138004175101972447232 is 5167701.3664819957
Scales and comparisons
How big is 138004175101972447232?- 138,004,175,101,972,447,232 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,004,175,101,972,447,232 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 138004175101972447232 cubic inches would be around 430641.8 feet tall.
Recreational maths with 138004175101972447232
- 138004175101972447232 backwards is 232744279101571400831
- The number of decimal digits it has is: 21
- The sum of 138004175101972447232's digits is 71
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138004175101972447232 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138004175101972447232 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138004175101972447232/
Chicago style:
Numbermatics. 2024. "Number 138004175101972447232 - Facts about the integer". https://numbermatics.com/n/138004175101972447232/
The information we have on file for 138004175101972447232 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 138004175101972447232, math, Factors of 138004175101972447232, curriculum, school, college, exams, university, Prime factorization of 138004175101972447232, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four quadrillion, one hundred seventy-five trillion, one hundred one billion, nine hundred seventy-two million, four hundred forty-seven thousand, two hundred thirty-two.