42636938011975125
42,636,938,011,975,125 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 42636938011975125 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
42636938011975125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 42636938011975125:
34 × 53 × 74 × 13 × 61 × 97 × 1512
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 61 × 97 × 151 × 151)See below for interesting mathematical facts about the number 42636938011975125 from the Numbermatics database.
Names of 42636938011975125
- Cardinal: 42636938011975125 can be written as Forty-two quadrillion, six hundred thirty-six trillion, nine hundred thirty-eight billion, eleven million, nine hundred seventy-five thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2636938011975125 × 1016
Factors of 42636938011975125
Divisors of 42636938011975125
- Number of divisors d(n): 2400
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 61 63 65 75 81 91 97 105 117 125 135 147 151 175 183 189 195 225 245 273 291 305 315 325 343 351 375 405 427 441 453 455 485 525 549 567 585 637 675 679 735 755 793 819 873 875 915 945 975 1029 1053 1057 1125 1225 1261 1281 1323 1359 1365 1455 1525 1575 1625 1647 1715 1755 1911 1963 2025 2037 2135 2205 2265 2275 2379 2401 2425 2457 2619 2625 2745 2835 2925 2989 3087 3171 3185 3375 3395 3675 3775 3783 3843 3965 3969 4077 4095 4365 4459 4575 4725 4753 4875 4941 5145 5265 5285 5551 5733 5889 5917 6111 6125 6305 6405 6615 6795 6825 7137 7203 7275 7371 7399 7625 7857 7875 8235 8575 8775 8827 8967 9211 9261 9513 9555 9815 10125 10185 10675 11025 11325 11349 11375 11529 11895 12005 12125 12231 12285 13095 13377 13725 13741 14175 14259 14625 14647 14945 15435 15855 15925 16653 16975 17199 17667 17751 18333 18375 18875 18915 19215 19825 19845 20385 20475 20923 21411 21609 21825 22197 22295 22801 22875 23625 23765 24705 25725 26325 26425 26481 26901 27633 27755 27783 28539 28665 29445 29585 30555 31213 31525 32025 33075 33271 33975 34047 34125 34587 35685 36015 36375 36855 36995 38857 39285 40131 41175 41223 41419 42777 42875 43875 43941 44135 44835 46055 46305 47565 47775 49075 49959 50925 51597 51793 53001 53253 53375 54999 55125 56625 56745 57645 59475 60025 61155 61425 61789 62769 64233 64477 64827 65475 66591 66885 68403 68625 68705 70875 71295 73235 74725 76921 77175 79275 79443 79625 80703 82899 83265 84875 85617 85995 88335 88755 91665 93639 94575 96075 96187 99125 99225 99813 101925 102141 102375 102529 104615 107055 108045 109125 110985 111475 114005 116571 118825 119743 120393 123525 123669 124257 128331 128625 131625 131823 132125 132405 134505 138165 138775 138915 142695 143325 146461 147225 147925 149877 152775 155379 156065 157625 159003 159607 159759 160125 165375 166355 169875 170235 172935 178425 180075 184275 184975 185367 188307 190411 193431 194285 194481 196425 199773 200655 205209 205875 206115 207095 213885 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853438579875 868811778135 892452914955 896393104425 920784753525 925783042275 950974417575 966057279075 970322432625 971782062951 994447533807 996725764125 1029405297375 1034299735875 1035505476915 1062443946375 1085323609825 1097278174125 1152505419975 1156883408275 1172149498611 1183866111675 1194814011825 1232744615375 1249434080937 1252296472875 1254950346195 1281504553875 1289098654935 1331364184605 1352480190705 1365999359625 1395416069775 1441167416325 1448019630225 1487421524925 1493988507375 1534641255875 1536189443775 1542971737125 1584957362625 1610095465125 1613507587965 1619636771585 1657412556345 1725842461525 1794106375425 1804738116909 1863909858447 1869959125125 1912399103475 1920842366625 1953582497685 1973110186125 1991356686375 2037802323375 2082390134895 2091583910325 2148497758225 2150665221285 2218940307675 2254133651175 2258910623151 2320377578883 2325693449625 2401945693875 2413366050375 2479035874875 2511748925595 2560315739625 2677358744865 2689179313275 2762354260575 2852923252725 2910967297875 2915346188853 2990177292375 3007896861515 3102899207625 3106516430745 3187331839125 3255970829475 3470650224825 3485973183875 3516448495833 3551598335025 3584442035475 3698233846125 3748302242811 3756889418625 3764851038585 3867295964805 3994092553815 4186248209325 4211055606121 4344058890675 4462264574775 4481965522125 4603923767625 4628915211375 4754872087875 4830286395375 4858910314755 4972237669035 5177527384575 5414214350727 5426618049125 5591729575341 5762527099875 5784417041375 5860747493055 5919330558375 5974070059125 6247170404685 6274751730975 6445493274675 6656820923025 6762400953525 6961132736649 6977080348875 7205837081625 7240098151125 7437107624625 7680947218875 8067537939825 8098183857925 8287062781725 8629212307625 8746038566559 8970531877125 9023690584545 9319549292235 9561995517375 9767912488425 10411950674475 10457919551625 10742488791125 10753326106425 11094701538375 11270668255875 11294553115755 11601887894415 12558744627975 12633166818363 13386793724325 13445896566375 13811771302875 14264616263625 14576730944265 15039484307575 15532582153725 16242643052181 16279854147375 17353251124125 17582242479165 17757991675125 17922210177375 18741511214055 18824255192925 19336479824025 19970462769075 20931241046625 21055278030605 21720294453375 22311322873875 24294551573775 24861188345175 25887636922875 26238115699677 27071071753635 27958647876705 29303737465275 31235852023425 31373758654875 32227466373375 33284104615125 33812004767625 34805663683245 37899500455089 40337689699125 40490919289625 41435313908625 43730192832795 45118452922725 46597746461175 48727929156543 48839562442125 52059753372375 53766630532125 56472765578775 58009439472075 62793723139875 63165834091815 66933968621625 72883654721325 75197421537875 77662910768625 81213215260905 87911212395825 93707556070275 94121275964625 96682399120125 99852313845375 105276390153025 113698501365267 121472757868875 124305941725875 131190578498385 135355358768175 139793239383525 146518687326375 156179260117125 174028318416225 189497502275445 218650964163975 225592264613625 232988732305875 243639645782715 282363827893875 290047197360375 315829170459075 341095504095801 364418273606625 406066076304525 439556061979125 468537780351375 526381950765125 568492506826335 655952892491925 676776793840875 698966196917625 870141592081125 947487511377225 1093254820819875 1218198228913575 1579145852295375 1705477520479005 2030330381522625 2842462534131675 3279764462459625 4737437556886125 6090991144567875 8527387602395025 14212312670658375 42636938011975125
- Sum of all divisors σ(n): 103230572303450592
- Sum of proper divisors (its aliquot sum) s(n): 60593634291475467
- 42636938011975125 is an abundant number, because the sum of its proper divisors (60593634291475467) is greater than itself. Its abundance is 17956696279500342
Bases of 42636938011975125
- Binary: 100101110111101000010001101110001000001110011101110101012
- Hexadecimal: 0x977A11B8839DD5
- Base-36: BNTJ6X37OB9
Squares and roots of 42636938011975125
- 42636938011975125 squared (426369380119751252) is 1817908483037009324477903618765625
- 42636938011975125 cubed (426369380119751253) is 77510051302692699596114825250074045228920705078125
-
The
square root of 42636938011975125 is 206487137.6429416365 -
The
cube root of 42636938011975125 is 349351.0096255535
Scales and comparisons
How big is 42636938011975125?- 42,636,938,011,975,125 seconds is equal to 1,355,722,744 years, 3 weeks, 5 days, 7 hours, 18 minutes, 45 seconds.
-
To count from 1 to 42,636,938,011,975,125 would take you about four billion, sixty-seven million, one hundred sixty-eight thousand, two hundred thirty-two 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 42636938011975125 cubic inches would be around 29112.6 feet tall.
Recreational maths with 42636938011975125
- 42636938011975125 backwards is 52157911083963624
- The number of decimal digits it has is: 17
- The sum of 42636938011975125's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 42636938011975125 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 42636938011975125 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/42636938011975125/
Chicago style:
Numbermatics. 2024. "Number 42636938011975125 - Facts about the integer". https://numbermatics.com/n/42636938011975125/
The information we have on file for 42636938011975125 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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