138388176226344720
138,388,176,226,344,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138388176226344720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138388176226344720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138388176226344720:
24 × 3 × 5 × 132 × 3011 × 28307 × 40031
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 3011 × 28307 × 40031)See below for interesting mathematical facts about the number 138388176226344720 from the Numbermatics database.
Names of 138388176226344720
- Cardinal: 138388176226344720 can be written as One hundred thirty-eight quadrillion, three hundred eighty-eight trillion, one hundred seventy-six billion, two hundred twenty-six million, three hundred forty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3838817622634472 × 1017
Factors of 138388176226344720
Divisors of 138388176226344720
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3011 3120 3380 4056 5070 6022 6760 8112 9033 10140 12044 13520 15055 18066 20280 24088 28307 30110 36132 39143 40031 40560 45165 48176 56614 60220 72264 78286 80062 84921 90330 113228 117429 120093 120440 141535 144528 156572 160124 169842 180660 195715 200155 226456 234858 240186 240880 283070 313144 320248 339684 361320 367991 391430 400310 424605 452912 469716 480372 508859 520403 566140 587145 600465 626288 640496 679368 722640 735982 782860 800620 849210 939432 960744 1017718 1040806 1103973 1132280 1174290 1200930 1358736 1471964 1526577 1561209 1565720 1601240 1698420 1839955 1878864 1921488 2035436 2081612 2207946 2264560 2348580 2401860 2544295 2602015 2943928 3053154 3122418 3131440 3202480 3396840 3679910 4070872 4163224 4415892 4697160 4783883 4803720 5088590 5204030 5519865 5887856 6106308 6244836 6765239 6793680 7359820 7632885 7806045 8141744 8326448 8831784 9394320 9567766 9607440 10177180 10408060 11039730 12212616 12489672 13530478 14351649 14719640 15265770 15612090 17663568 19135532 20295717 20354360 20816120 22079460 23919415 24425232 24979344 27060956 28703298 29439280 30531540 31224180 33826195 38271064 40591434 40708720 41632240 44158920 47838830 54121912 57406596 61063080 62448360 67652390 71758245 76542128 81182868 85232377 88317840 95677660 101478585 108243824 114813192 120533341 122126160 124896720 135304780 143516490 162365736 170464754 191355320 202957170 229626384 241066682 255697131 270609560 287032980 324731472 340929508 361600023 382710640 405914340 426161885 482133364 511394262 541219120 574065960 602666705 681859016 723200046 811828680 852323770 964266728 1022788524 1108020901 1133157517 1148131920 1205333410 1278485655 1363718032 1446400092 1566933433 1623657360 1704647540 1808000115 1928533456 2045577048 2216041802 2266315034 2410666820 2556971310 2892800184 3133866866 3324062703 3399472551 3409295080 3616000230 4091154096 4432083604 4532630068 4700800299 4821333640 5113942620 5540104505 5665787585 5785600368 6267733732 6648125406 6798945102 6818590160 7232000460 7834667165 8864167208 9065260136 9401600598 9642667280 10227885240 11080209010 11331575170 12535467464 13296250812 13597890204 14404271713 14464000920 14731047721 15669334330 16620313515 16997362755 17728334416 18130520272 18803201196 20370134629 20455770480 22160418020 22663150340 23504001495 25070934928 26592501624 27195780408 28808543426 28928001840 29462095442 31338668660 33240627030 33994725510 37606402392 40740269258 43212815139 44193143163 44320836040 45326300680 47008002990 53185003248 54391560816 57617086852 58924190884 61110403887 62677337320 66481254060 67989451020 72021358565 73655238605 75212804784 81480538516 86425630278 88386286326 88641672080 90652601360 94016005980 101850673145 115234173704 117848381768 122220807774 125354674640 132962508120 135978902040 144042717130 147310477210 162961077032 172851260556 176772572652 188032011960 191503620373 203701346290 216064075695 220965715815 230468347408 235696763536 244441615548 265925016240 271957804080 288085434260 294620954420 305552019435 325922154064 345702521112 353545145304 376064023920 383007240746 407402692580 432128151390 441931431630 488883231096 574510861119 576170868520 589241908840 611104038870 691405042224 707090290608 766014481492 814805385160 864256302780 883862863260 957518101865 977766462192 1149021722238 1152341737040 1178483817680 1222208077740 1532028962984 1629610770320 1728512605560 1767725726520 1915036203730 2298043444476 2444416155480 2872554305595 3064057925968 3411937283687 3457025211120 3535451453040 3830072407460 4596086888952 4888832310960 5745108611190 6823874567374 7660144814920 9192173777904 10235811851061 11490217222380 13647749134748 15320289629840 17059686418435 20471623702122 22980434444760 27295498269496 34119372836870 40943247404244 44355184687931 45960868889520 51179059255305 54590996538992 68238745673740 81886494808488 88710369375862 102358118510610 133065554063793 136477491347480 163772989616976 177420738751724 204716237021220 221775923439655 266131108127586 272954982694960 354841477503448 409432474042440 443551846879310 532262216255172 576617400943103 665327770318965 709682955006896 818864948084880 887103693758620 1064524432510344 1153234801886206 1330655540637930 1729852202829309 1774207387517240 2129048865020688 2306469603772412 2661311081275860 2883087004715515 3459704405658618 3548414775034480 4612939207544824 5322622162551720 5766174009431030 6919408811317236 8649261014146545 9225878415089648 10645244325103440 11532348018862060 13838817622634472 17298522028293090 23064696037724120 27677635245268944 34597044056586180 46129392075448240 69194088113172360 138388176226344720
- Sum of all divisors σ(n): 464724391839289344
- Sum of proper divisors (its aliquot sum) s(n): 326336215612944624
- 138388176226344720 is an abundant number, because the sum of its proper divisors (326336215612944624) is greater than itself. Its abundance is 187948039386599904
Bases of 138388176226344720
- Binary: 1111010111010011101010000001001010001010111011111000100002
- Hexadecimal: 0x1EBA7502515DF10
- Base-36: 11UMIII0C8PC
Squares and roots of 138388176226344720
- 138388176226344720 squared (1383881762263447202) is 19151287319253841947293372271878400
- 138388176226344720 cubed (1383881762263447203) is 2650311724498261633994279390078600974532480322048000
-
The
square root of 138388176226344720 is 372005613.1651036255 -
The
cube root of 138388176226344720 is 517249.0026965471
Scales and comparisons
How big is 138388176226344720?- 138,388,176,226,344,720 seconds is equal to 4,400,315,941 years, 13 weeks, 4 days, 17 hours, 32 minutes.
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To count from 1 to 138,388,176,226,344,720 would take you about thirteen billion, two hundred million, nine hundred forty-seven thousand, eight hundred twenty-three 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 138388176226344720 cubic inches would be around 43104.1 feet tall.
Recreational maths with 138388176226344720
- 138388176226344720 backwards is 027443622671883831
- The number of decimal digits it has is: 18
- The sum of 138388176226344720's digits is 75
- More coming soon!
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The information we have on file for 138388176226344720 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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