138201231366793728
138,201,231,366,793,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 138201231366793728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1680 divisors.
138201231366793728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138201231366793728:
29 × 33 × 75 × 296
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 138201231366793728 from the Numbermatics database.
Names of 138201231366793728
- Cardinal: 138201231366793728 can be written as One hundred thirty-eight quadrillion, two hundred one trillion, two hundred thirty-one billion, three hundred sixty-six million, seven hundred ninety-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38201231366793728 × 1017
Factors of 138201231366793728
Divisors of 138201231366793728
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 49 54 56 58 63 64 72 84 87 96 98 108 112 116 126 128 144 147 168 174 189 192 196 203 216 224 232 252 256 261 288 294 336 343 348 378 384 392 406 432 441 448 464 504 512 522 576 588 609 672 686 696 756 768 783 784 812 841 864 882 896 928 1008 1029 1044 1152 1176 1218 1323 1344 1372 1392 1421 1512 1536 1566 1568 1624 1682 1728 1764 1792 1827 1856 2016 2058 2088 2304 2352 2401 2436 2523 2646 2688 2744 2784 2842 3024 3087 3132 3136 3248 3364 3456 3528 3584 3654 3712 4032 4116 4176 4263 4608 4704 4802 4872 5046 5292 5376 5481 5488 5568 5684 5887 6048 6174 6264 6272 6496 6728 6912 7056 7203 7308 7424 7569 8064 8232 8352 8526 9261 9408 9604 9744 9947 10092 10584 10752 10962 10976 11136 11368 11774 12096 12348 12528 12544 12789 12992 13456 13824 14112 14406 14616 14848 15138 16128 16464 16704 16807 17052 17661 18522 18816 19208 19488 19894 20184 21168 21609 21924 21952 22272 22707 22736 23548 24192 24389 24696 25056 25088 25578 25984 26912 28224 28812 29232 29841 30276 32256 32928 33408 33614 34104 35322 37044 37632 38367 38416 38976 39788 40368 41209 42336 43218 43848 43904 44544 45414 45472 47096 48384 48778 49392 50112 50421 51156 51968 52983 53824 56448 57624 58464 59682 60552 64827 65856 66816 67228 68208 69629 70644 73167 74088 75264 76734 76832 77952 79576 80736 82418 84672 86436 87696 87808 89523 90828 90944 94192 96768 97556 98784 100224 100842 102312 103936 105966 107648 112896 115248 116928 119364 121104 123627 129654 131712 133632 134456 136416 139258 141288 146334 148176 151263 153468 153664 155904 158949 159152 161472 164836 169344 170723 172872 175392 175616 179046 181656 181888 188384 195112 197568 200448 201684 204624 208887 211932 215296 219501 225792 230496 233856 238728 242208 247254 259308 263424 268569 268912 272832 278516 282576 288463 292668 296352 302526 306936 307328 311808 317898 318304 322944 329672 338688 341446 345744 350784 358092 363312 363776 370881 376768 390224 395136 400896 403368 409248 417774 423864 430592 439002 453789 460992 467712 477456 484416 487403 494508 512169 518616 526848 537138 537824 545664 557032 565152 576926 585336 592704 605052 613872 614656 626661 635796 636608 645888 658503 659344 677376 682892 691488 701568 707281 716184 726624 727552 741762 753536 780448 790272 806736 818496 835548 847728 865389 878004 907578 921984 935424 954912 968832 974806 989016 1024338 1037232 1074276 1075648 1091328 1112643 1114064 1130304 1153852 1170672 1185408 1195061 1210104 1227744 1229312 1253322 1271592 1273216 1291776 1317006 1318688 1365784 1382976 1403136 1414562 1432368 1453248 1462209 1483524 1507072 1536507 1560896 1580544 1613472 1636992 1671096 1695456 1730778 1756008 1815156 1843968 1879983 1909824 1937664 1949612 1978032 2019241 2048676 2074464 2121843 2148552 2151296 2182656 2225286 2228128 2260608 2307704 2341344 2370816 2390122 2420208 2455488 2506644 2543184 2546432 2596167 2634012 2637376 2731568 2765952 2806272 2829124 2864736 2906496 2924418 2967048 3014144 3073014 3121792 3226944 3273984 3342192 3390912 3461556 3512016 3585183 3630312 3687936 3759966 3819648 3875328 3899224 3956064 4038482 4097352 4148928 4243686 4297104 4302592 4386627 4450572 4456256 4521216 4609521 4615408 4682688 4741632 4780244 4840416 4910976 4950967 5013288 5086368 5092864 5192334 5268024 5274752 5463136 5531904 5658248 5729472 5812992 5848836 5934096 6057723 6146028 6243584 6365529 6453888 6547968 6684384 6781824 6923112 7024032 7170366 7260624 7519932 7639296 7788501 7798448 7912128 8076964 8194704 8297856 8365427 8487372 8594208 8605184 8773254 8901144 8912512 9042432 9219042 9230816 9365376 9560488 9680832 9821952 9901934 10026576 10172736 10384668 10536048 10549504 10755549 10926272 11063808 11316496 11458944 11625984 11697672 11868192 12115446 12292056 12487168 12731058 12907776 13159881 13368768 13563648 13846224 14048064 14134687 14340732 14521248 14852901 15039864 15278592 15577002 15596896 15824256 16153928 16389408 16595712 16730854 16974744 17188416 17546508 17802288 17825024 18173169 18438084 18461632 18730752 19096587 19120976 19361664 19643904 19803868 20053152 20345472 20511149 20769336 21072096 21099008 21511098 21852544 22632992 22917888 23395344 23736384 24230892 24584112 25096281 25462116 25815552 26319762 26737536 27127296 27692448 28096128 28269374 28681464 29042496 29705802 30079728 31154004 31193792 31648512 32266647 32307856 32778816 33191424 33461708 33949488 34376832 34656769 35093016 35604576 35650048 36346338 36876168 36923264 37461504 38193174 38241952 38723328 39607736 40106304 40690944 41022298 41538672 42144192 42404061 43022196 43705088 44558703 45265984 45835776 46790688 47472768 48461784 49168224 50192562 50924232 52639524 53475072 54519507 55384896 56192256 56538748 57362928 58084992 58557989 59411604 60159456 61533447 62308008 62387584 63297024 64533294 64615712 65557632 66923416 67898976 68753664 69313538 70186032 71209152 72692676 73752336 73846528 75288843 76386348 76483904 77446656 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599581907568 612073197309 629615497728 641912675418 652101765504 661607622144 675391114272 685236465792 689461762486 699512225496 708317434944 733614486192 759815003556 760785393088 771875559168 786951253683 787956299984 799442543424 809505639936 816097596412 838416555648 855883567224 868360004064 869469020672 886450837482 899372861352 900521485696 913648621056 932682967328 944423246592 978152648256 992411433216 1013086671408 1027854698688 1034192643729 1049268338244 1065923391232 1117888740864 1141178089632 1157813338752 1181934449976 1199163815136 1224146394618 1283825350836 1304203531008 1329676256223 1350782228544 1370472931584 1378923524972 1399024450992 1416634869888 1428170793721 1467228972384 1519630007112 1521570786176 1543751118336 1573902507366 1575912599968 1598885086848 1632195192824 1676833111296 1711767134448 1736720008128 1772901674964 1798745722704 1801042971392 1836219591927 1865365934656 1888846493184 1956305296512 1984822866432 2026173342816 2055709397376 2068385287458 2098536676488 2131846782464 2282356179264 2315626677504 2363868899952 2398327630272 2448292789236 2567650701672 2608407062016 2659352512446 2701564457088 2740945863168 2757847049944 2798048901984 2833269739776 2856341587442 2934457944768 3039260014224 3043141572352 3102577931187 3147805014732 3151825199936 3197770173696 3264390385648 3353666222592 3423534268896 3473440016256 3545803349928 3597491445408 3602085942784 3672439183854 3730731869312 3912610593024 4052346685632 4111418794752 4136770574916 4197073352976 4284512381163 4564712358528 4631253355008 4727737799904 4796655260544 4896585578472 5135301403344 5318705024892 5403128914176 5508658775781 5515694099888 5596097803968 5666539479552 5712683174884 5868915889536 6078520028448 6086283144704 6205155862374 6295610029464 6303650399872 6395540347392 6528780771296 6847068537792 6946880032512 7091606699856 7194982890816 7344878367708 7461463738624 7825221186048 8104693371264 8222837589504 8273541149832 8394146705952 8569024762326 9129424717056 9307733793561 9455475599808 9593310521088 9793171156944 9997195556047 10270602806688 10637410049784 10806257828352 11017317551562 11031388199776 11192195607936 11425366349768 11737831779072 12157040056896 12410311724748 12591220058928 12607300799744 12853537143489 13057561542592 13694137075584 13893760065024 14183213399712 14389965781632 14689756735416 14922927477248 16209386742528 16547082299664 16788293411904 17138049524652 18258849434112 18615467587122 18910951199616 19186621042176 19586342313888 19994391112094 20541205613376 21274820099568 22034635103124 22062776399552 22384391215872 22850732699536 23475663558144 24314080113792 24820623449496 25182440117856 25214601599488 25707074286978 26115123085184 27388274151168 28366426799424 28779931563264 29379513470832 29991586668141 32418773485056 33094164599328 33576586823808 34276099049304 37230935174244 37821902399232 38560611430467 39172684627776 39988782224188 41082411226752 42549640199136 44069270206248 44125552799104 44768782431744 45701465399072 48628160227584 49641246898992 50364880235712 51414148573956 52230246170368 54776548302336 56732853598848 57559863126528 58759026941664 59983173336282 66188329198656 67153173647616 68552198098608 74461870348488 75643804798464 77121222860934 78345369255552 79977564448376 82164822453504 85099280398272 88138540412496 88251105598208 89974760004423 91402930798144 97256320455168 99282493797984 100729760471424 102828297147912 104460492340736 113465707197696 117518053883328 119966346672564 132376658397312 134306347295232 137104396197216 148923740696976 154242445721868 156690738511104 159955128896752 164329644907008 170198560796544 176277080824992 176502211196416 179949520008846 182805861596288 198564987595968 201459520942848 205656594295824 226931414395392 235036107766656 239932693345128 264753316794624 269924280013269 274208792394432 297847481393952 308484891443736 313381477022208 319910257793504 340397121593088 352554161649984 359899040017692 365611723192576 397129975191936 402919041885696 411313188591648 470072215533312 479865386690256 529506633589248 539848560026538 548417584788864 595694962787904 616969782887472 639820515587008 680794243186176 705108323299968 719798080035384 731223446385152 794259950383872 822626377183296 940144431066624 959730773380512 1079697120053076 1096835169577728 1191389925575808 1233939565774944 1279641031174016 1410216646599936 1439596160070768 1588519900767744 1645252754366592 1919461546761024 2159394240106152 2193670339155456 2382779851151616 2467879131549888 2559282062348032 2820433293199872 2879192320141536 3290505508733184 3838923093522048 4318788480212304 4765559702303232 4935758263099776 5118564124696064 5758384640283072 6581011017466368 7677846187044096 8637576960424608 9871516526199552 11516769280566144 15355692374088192 17275153920849216 19743033052399104 23033538561132288 34550307841698432 46067077122264576 69100615683396864 138201231366793728
- Sum of all divisors σ(n): 494307132663072960
- Sum of proper divisors (its aliquot sum) s(n): 356105901296279232
- 138201231366793728 is an abundant number, because the sum of its proper divisors (356105901296279232) is greater than itself. Its abundance is 217904669929485504
Bases of 138201231366793728
- Binary: 1111010101111110101001001101001110010001110101010000000002
- Hexadecimal: 0x1EAFD49A723AA00
- Base-36: 11SS8X7TQIO0
Squares and roots of 138201231366793728
- 138201231366793728 squared (1382012313667937282) is 19099580351298050599895974900137984
- 138201231366793728 cubed (1382012313667937283) is 2639585523138409321094073821812652504474342865764352
-
The
square root of 138201231366793728 is 371754262.0694398011 -
The
cube root of 138201231366793728 is 517015.9851577255 - Being both a perfect square and a perfect cube, 138201231366793728 is also a
perfect sixth number .
Scales and comparisons
How big is 138201231366793728?- 138,201,231,366,793,728 seconds is equal to 4,394,371,672 years, 51 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,201,231,366,793,728 would take you about thirteen billion, one hundred eighty-three million, one hundred fifteen thousand and eighteen 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 138201231366793728 cubic inches would be around 43084.7 feet tall.
Recreational maths with 138201231366793728
- 138201231366793728 backwards is 827397663132102831
- 138201231366793728 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138201231366793728's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 138201231366793728 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138201231366793728 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138201231366793728/
Chicago style:
Numbermatics. 2024. "Number 138201231366793728 - Facts about the integer". https://numbermatics.com/n/138201231366793728/
The information we have on file for 138201231366793728 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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