138200972588083006875
138,200,972,588,083,006,875 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138200972588083006875 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
138200972588083006875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138200972588083006875:
38 × 54 × 7 × 137 × 2772
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 277 × 277)See below for interesting mathematical facts about the number 138200972588083006875 from the Numbermatics database.
Names of 138200972588083006875
- Cardinal: 138200972588083006875 can be written as One hundred thirty-eight quintillion, two hundred quadrillion, nine hundred seventy-two trillion, five hundred eighty-eight billion, eighty-three million, six thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38200972588083006875 × 1020
Factors of 138200972588083006875
Divisors of 138200972588083006875
- Number of divisors d(n): 2160
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 125 135 169 175 189 195 225 243 273 277 315 325 351 375 405 455 507 525 567 585 625 675 729 819 831 845 875 945 975 1053 1125 1183 1215 1365 1385 1521 1575 1625 1701 1755 1875 1939 2025 2187 2197 2275 2457 2493 2535 2625 2835 2925 3159 3375 3549 3601 3645 4095 4155 4225 4375 4563 4725 4875 5103 5265 5625 5817 5915 6075 6561 6591 6825 6925 7371 7479 7605 7875 8125 8505 8775 9477 9695 10125 10647 10803 10935 10985 11375 12285 12465 12675 13125 13689 14175 14625 15309 15379 15795 16875 17451 17745 18005 18225 19773 20475 20775 21125 22113 22437 22815 23625 24375 25207 25515 26325 28431 28561 29085 29575 30375 31941 32409 32805 32955 34125 34625 36855 37395 38025 39375 41067 42525 43875 45927 46137 46813 47385 48475 50625 52353 53235 54015 54675 54925 56875 59319 61425 62325 63375 66339 67311 68445 70875 73125 75621 76545 76729 76895 78975 85293 85683 87255 88725 90025 91125 95823 97227 98865 102375 103875 105625 110565 112185 114075 118125 123201 126035 127575 131625 138411 140439 142155 142805 145425 147875 151875 157059 159705 162045 164025 164775 170625 173125 177957 184275 186975 190125 199017 199927 201933 205335 212625 219375 226863 229635 230187 230685 234065 236925 242375 257049 261765 266175 270075 273375 274625 287469 291681 296595 307125 311625 316875 327691 331695 336555 342225 354375 369603 371293 378105 382725 383645 384475 394875 415233 421317 426465 428415 436275 443625 450125 455625 471177 479115 486135 494325 511875 519375 533871 537103 552825 560925 570375 597051 599781 605799 608569 616005 630175 637875 658125 680589 690561 692055 702195 710775 714025 727125 739375 771147 785295 798525 810225 820125 823875 862407 875043 889785 921375 934875 950625 983073 995085 997477 999635 1009665 1026675 1063125 1108809 1113879 1134315 1148175 1150935 1153425 1170325 1184625 1211875 1245699 1263951 1285245 1308825 1330875 1350375 1366875 1373125 1413531 1437345 1458405 1482975 1535625 1558125 1601613 1611309 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599089548900375 600385654220625 601828870111625 609182513623125 629975943421461 649975179720555 673051221604125 684390231354375 691257171808125 694417927051875 726895319332455 739141449862725 749971361216025 776597563389375 798272765851743 809969070113307 838725368460525 842560418156275 852855519072375 865351570633875 879930297455625 909965251608777 934579696284585 950324721252075 967760040531375 972185097872625 984064060468125 998482581500625 1049959905702435 1083291966200925 1096528524521625 1121752036006875 1169955323496999 1211492198887425 1231902416437875 1249952268693375 1308411574798419 1330454609752905 1349948450188845 1397875614100875 1421425865120625 1442252617723125 1516608752681295 1535139934330275 1557632827140975 1583874535420125 1612933400885625 1620308496454375 1749933176170725 1797268646701125 1801156962661875 1805486610334875 1827547540869375 1889927830264383 1949925539161665 2019153664812375 2053170694063125 2083253781155625 2180685957997365 2217424349588175 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11249570418240375 12149536051699605 12580880526907875 12638406272344125 12792832786085625 12980273559508125 13649478774131655 14254870818781125 14582776468089375 15749398585536525 16249379493013875 17009350472379447 17549329852454985 18172382983311375 18478536246568125 18749284030400625 19956819146293575 20249226752832675 20968134211513125 21064010453906875 22749131290219425 23364492407114625 23758118031301875 24569061793436979 26248997642560875 27082299155023125 28348917453965745 29248883087424975 30287304972185625 31588793734418973 32710289369960475 33261365243822625 33748711254721125 37915218817032375 38378498358256875 38940820678524375 40948436322394965 43748329404268125 47248195756609575 48748138479041625 52647989557364955 54517148949934125 55435608739704375 56247852091201875 60747680258498025 62904402634539375 63192031361720625 68247393870658275 71274354093905625 73707185380310937 78746992927682625 81246897465069375 85046752361897235 87746649262274925 90861914916556875 99784095731467875 101246133764163375 113745656451097125 116822462035573125 122845308967184895 131244988212804375 141744587269828725 146244415437124875 157943968672094865 163551446849802375 166306826219113125 168743556273605625 189576094085161875 204742181611974825 221121556140932811 236240978783047875 243740692395208125 263239947786824775 272585744749670625 303738401292490125 341236969353291375 368535926901554685 393734964638413125 425233761809486175 438733246311374625 498920478657339375 506230668820816875 568728282255485625 614226544835924475 708722936349143625 731222077185624375 789719843360474325 817757234249011875 1023710908059874125 1105607780704664055 1181204893915239375 1316199738934123875 1518692006462450625 1706184846766456875 1842679634507773425 2126168809047430875 2193666231556873125 3071132724179622375 3543614681745718125 3948599216802371625 5118554540299370625 5528038903523320275 6580998694670619375 9213398172538867125 10630844045237154375 15355663620898111875 19742996084011858125 27640194517616601375 46066990862694335625 138200972588083006875
- Sum of all divisors σ(n): 321866686584942058560
- Sum of proper divisors (its aliquot sum) s(n): 183665713996859051685
- 138200972588083006875 is an abundant number, because the sum of its proper divisors (183665713996859051685) is greater than itself. Its abundance is 45464741408776044810
Bases of 138200972588083006875
- Binary: 11101111101111011000111110001011001010001100010111101001101100110112
- Hexadecimal: 0x77DEC7C59462F4D9B
- Base-36: T5ZI44G39QAOR
Squares and roots of 138200972588083006875
- 138200972588083006875 squared (1382009725880830068752) is 19099508824292070679456987975141297265625
- 138200972588083006875 cubed (1382009725880830068753) is 2639570695471837959018933138751928900102129036456965576171875
-
The
square root of 138200972588083006875 is 11755890973.8089612343 -
The
cube root of 138200972588083006875 is 5170156.6245723963
Scales and comparisons
How big is 138200972588083006875?- 138,200,972,588,083,006,875 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,200,972,588,083,006,875 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 138200972588083006875 cubic inches would be around 430846.4 feet tall.
Recreational maths with 138200972588083006875
- 138200972588083006875 backwards is 578600380885279002831
- The number of decimal digits it has is: 21
- The sum of 138200972588083006875's digits is 90
- More coming soon!
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"Number 138200972588083006875 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138200972588083006875 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138200972588083006875/
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Numbermatics. 2024. "Number 138200972588083006875 - Facts about the integer". https://numbermatics.com/n/138200972588083006875/
The information we have on file for 138200972588083006875 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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