138075420891869009749305
138,075,420,891,869,009,749,305 is an odd composite number composed of eight prime numbers multiplied together.
138075420891869009749305 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138075420891869009749305:
33 × 5 × 72 × 293 × 31 × 1093 × 4733 × 5336717
(3 × 3 × 3 × 5 × 7 × 7 × 29 × 29 × 29 × 31 × 1093 × 4733 × 5336717)See below for interesting mathematical facts about the number 138075420891869009749305 from the Numbermatics database.
Names of 138075420891869009749305
- Cardinal: 138075420891869009749305 can be written as One hundred thirty-eight sextillion, seventy-five quintillion, four hundred twenty quadrillion, eight hundred ninety-one trillion, eight hundred sixty-nine billion, nine million, seven hundred forty-nine thousand, three hundred five.
Scientific notation
- Scientific notation: 1.38075420891869009749305 × 1023
Factors of 138075420891869009749305
Divisors of 138075420891869009749305
- Number of divisors d(n): 1536
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Complete list of divisors:
1 3 5 7 9 15 21 27 29 31 35 45 49 63 87 93 105 135 145 147 155 189 203 217 245 261 279 315 435 441 465 609 651 735 783 837 841 899 945 1015 1085 1093 1305 1323 1395 1421 1519 1827 1953 2205 2523 2697 3045 3255 3279 3915 4185 4205 4263 4495 4557 4733 5465 5481 5859 5887 6293 6615 7105 7569 7595 7651 8091 9135 9765 9837 12615 12789 13485 13671 14199 16395 17661 18879 21315 22707 22785 22953 23665 24273 24389 26071 27405 29295 29435 29511 31465 31697 33131 33883 37845 38255 38367 40455 41013 41209 42597 44051 49185 52983 53557 56637 63945 68355 68859 70995 73167 78213 88305 94395 95091 99393 101649 113535 114765 121365 121945 123627 127791 130355 132153 137257 146723 147555 158485 158949 160671 165655 169415 169911 170723 182497 191835 205065 206045 206577 212985 219501 220255 221879 231917 234639 237181 264915 267785 283185 285273 298179 304947 344295 365835 370881 391065 396459 411771 440169 475455 482013 496965 508245 512169 547491 618135 638955 658503 660765 665637 686285 695751 703917 711543 733615 756059 794745 803355 849555 853615 855819 894537 912485 914841 919213 960799 982607 1027061 1032885 1097505 1109395 1112643 1159585 1173195 1185905 1189377 1195061 1235313 1277479 1320507 1426365 1446039 1490895 1524735 1536507 1553153 1642473 1660267 1854405 1982295 1996911 2058855 2087253 2134629 2200845 2268177 2410065 2560845 2737455 2757639 2882397 2947821 3081183 3292515 3328185 3478755 3519585 3557715 3585183 3705939 3780295 3832437 3961521 3980453 4254967 4279095 4472685 4574205 4596065 4609521 4659459 4803995 4913035 4927419 4980801 5135305 5173169 5292413 5336717 5563215 5946885 5975305 5990733 6176565 6261759 6387395 6403887 6434491 6602535 6725593 6804531 6878249 7189427 7230195 7682535 7765765 8212365 8272917 8301335 8647191 8843463 9243549 9984555 10436265 10673145 10755549 11340885 11497311 11941359 12764901 13788195 13978377 14411985 14739105 14942403 15405915 15519507 15877239 16010151 17925915 18529695 19162185 19303473 19807605 19902265 20176779 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582152115438711405 588458955637677495 595365673460199165 622300537193105295 626888928250750311 629042331888551805 648287066656661313 668396873281483465 670122647440457229 673325145158213297 719761362065676283 756590085819871065 808768712428138035 812633795880602255 815012961614195967 833511942844278831 859367408504764455 868677505941333445 871220752070347413 935755622594076851 941061870953218035 1005962689639646865 1044814880417917185 1059226120147819491 1080478444427768855 1116871079067428715 1132276197399393249 1137687314232843157 1203114371906670237 1216148508317866823 1358354936023659945 1389186571407131385 1452034586783912355 1462740832585084059 1563619510694400201 1765376866913032485 1887126995665655415 1944861199969983939 2005190619844450395 2019975435474639891 2159284086197028849 2437901387641806765 2578102225514293365 2606032517824000335 2807266867782230553 3134444641253751555 3241435333283306565 3350613237202286145 3366625725791066485 3413061942698529471 3598806810328381415 3609343115720010711 3648445524953600469 4075064808070979835 4167559714221394155 4356103760351737065 4388222497755252177 4678778112970384255 4690858532083200603 4713276016107493079 5038329534459733981 5296130600739097455 5661380986996966245 5688436571164215785 5834583599909951817 6015571859533351185 6059926306423919673 6080742541589334115 6477852258591086547 7313704162925420295 7818097553472001005 8421800603346691659 9724305999849919695 10099877177373199455 10239185828095588413 10796420430985144245 10945336574860801407 14036334338911152765 14139828048322479237 15114988603379201943 17065309713492647355 18046715578600053555 18179778919271759019 18242227624768002345 19433556775773259641 20873079499904612207 21941112488776260885 23454292660416003015 23566380080537465395 25191647672298669905 25265401810040074977 29172917999549759085 30299631532119598365 30717557484286765239 32389261292955432735 32836009724582404221 32992932112752451553 35268306741218137867 42109003016733458295 42419484144967437711 45344965810137605829 51195929140477942065 54726682874304007035 62619238499713836621 70699140241612396185 75574943016896009715 90898894596358795095 97167783878866298205 98978796338257354659 104365397499523061035 105804920223654413601 126327009050200374885 127258452434902313133 136034897430412817487 146111556499332285449 153587787421433826195 164180048622912021105 164964660563762257765 176341533706090689335 187857715499141509863 212097420724837188555 226724829050688029145 296936389014772063977 313096192498569183105 317414760670963240803 438334669497996856347 494893981691286773295 529024601118272068005 563573146497424529589 636292262174511565665 680174487152064087435 730557782496661427245 890809167044316191931 939288577495707549315 952244282012889722409 1022780895495325998143 1315004008493990569041 1484681945073860319885 1587073803354816204015 2191673347489984281735 2817865732487122647945 3068342686485977994429 3945012025481971707123 4454045835221580959655 4761221410064448612045 5113904477476629990715 6575020042469952845205 9205028059457933983287 15341713432429889972145 19725060127409858535615 27615084178373801949861 46025140297289669916435 138075420891869009749305
- Sum of all divisors σ(n): 305625264389935080652800
- Sum of proper divisors (its aliquot sum) s(n): 167549843498066070903495
- 138075420891869009749305 is an abundant number, because the sum of its proper divisors (167549843498066070903495) is greater than itself. Its abundance is 29474422606197061154190
Bases of 138075420891869009749305
- Binary: 111010011110100010101011001001000001000111000110100011011100100100101001110012
- Hexadecimal: 0x1D3D15648238D1B92539
- Base-36: MHFSBE9NF9LSRW9
Squares and roots of 138075420891869009749305
- 138075420891869009749305 squared (1380754208918690097493052) is 19064821854466777007669095717405897138947983025
- 138075420891869009749305 cubed (1380754208918690097493053) is 2632383301784002899770446585116070701077474412930044178754990645547625
-
The
square root of 138075420891869009749305 is 371585011662.0273608279 -
The
cube root of 138075420891869009749305 is 51685905.0292918309
Scales and comparisons
How big is 138075420891869009749305?- 138,075,420,891,869,009,749,305 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,075,420,891,869,009,749,305 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 138075420891869009749305 cubic inches would be around 4307158.8 feet tall.
Recreational maths with 138075420891869009749305
- 138075420891869009749305 backwards is 503947900968198024570831
- The number of decimal digits it has is: 24
- The sum of 138075420891869009749305's digits is 108
- More coming soon!
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Numbermatics. (2024). Number 138075420891869009749305 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138075420891869009749305/
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The information we have on file for 138075420891869009749305 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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