13354627106307025728
13,354,627,106,307,025,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 13354627106307025728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
13354627106307025728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 13354627106307025728:
26 × 33 × 7 × 19 × 2819 × 20613005113
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 2819 × 20613005113)See below for interesting mathematical facts about the number 13354627106307025728 from the Numbermatics database.
Names of 13354627106307025728
- Cardinal: 13354627106307025728 can be written as Thirteen quintillion, three hundred fifty-four quadrillion, six hundred twenty-seven trillion, one hundred six billion, three hundred seven million, twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3354627106307025728 × 1019
Factors of 13354627106307025728
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 20613007963
Divisors of 13354627106307025728
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 84 96 108 112 114 126 133 144 152 168 171 189 192 216 224 228 252 266 288 304 336 342 378 399 432 448 456 504 513 532 576 608 672 684 756 798 864 912 1008 1026 1064 1197 1216 1344 1368 1512 1596 1728 1824 2016 2052 2128 2394 2736 2819 3024 3192 3591 3648 4032 4104 4256 4788 5472 5638 6048 6384 7182 8208 8457 8512 9576 10944 11276 12096 12768 14364 16416 16914 19152 19733 22552 25371 25536 28728 32832 33828 38304 39466 45104 50742 53561 57456 59199 67656 76113 76608 78932 90208 101484 107122 114912 118398 135312 152226 157864 160683 177597 180416 202968 214244 229824 236796 270624 304452 315728 321366 355194 374927 405936 428488 473592 482049 532791 541248 608904 631456 642732 710388 749854 811872 856976 947184 964098 1065582 1124781 1217808 1262912 1285464 1420776 1446147 1499708 1623744 1713952 1894368 1928196 2131164 2249562 2435616 2570928 2841552 2892294 2999416 3374343 3427904 3788736 3856392 4262328 4499124 4871232 5141856 5683104 5784588 5998832 6748686 7712784 8524656 8998248 10123029 10283712 11366208 11569176 11997664 13497372 15425568 17049312 17996496 20246058 23138352 23995328 26994744 30851136 34098624 35992992 40492116 46276704 53989488 71985984 80984232 92553408 107978976 161968464 215957952 323936928 647873856 20613005113 41226010226 61839015339 82452020452 123678030678 144291035791 164904040904 185517046017 247356061356 288582071582 329808081808 371034092034 391647097147 432873107373 494712122712 556551138051 577164143164 659616163616 742068184068 783294194294 865746214746 989424245424 1113102276102 1154328286328 1174941291441 1298619322119 1319232327232 1484136368136 1566588388588 1731492429492 1978848490848 2226204552204 2308656572656 2349882582882 2597238644238 2741529680029 2968272736272 3133176777176 3462984858984 3524823874323 3895857966357 3957696981696 4452409104408 4617313145312 4699765165764 5194477288476 5483059360058 5936545472544 6266353554352 6925969717968 7049647748646 7791715932714 8224589040087 8904818208816 9234626290624 9399530331528 10388954576952 10574471622969 10966118720116 11873090945088 12532707108704 13851939435936 14099295497292 15583431865428 16449178080174 17809636417632 18799060663056 20777909153904 21148943245938 21932237440232 24673767120261 25065414217408 27703878871872 28198590994584 31166863730856 32898356160348 35619272835264 37598121326112 41555818307808 42297886491876 43864474880464 49347534240522 56397181989168 58108061413547 62333727461712 65796712320696 74021301360783 75196242652224 83111636615616 84595772983752 87728949760928 98695068481044 112794363978336 116216122827094 124667454923424 131593424641392 148042602721566 169191545967504 174324184240641 175457899521856 197390136962088 225588727956672 232432245654188 249334909846848 263186849282784 296085205443132 338383091935008 348648368481282 394780273924176 406756429894829 464864491308376 522972552721923 526373698565568 592170410886264 676766183870016 697296736962564 789560547848352 813512859789658 929728982616752 1045945105443846 1104053166857393 1184340821772528 1220269289684487 1394593473925128 1568917658165769 1579121095696704 1627025719579316 1859457965233504 2091890210887692 2208106333714786 2368681643545056 2440538579368974 2789186947850256 3137835316331538 3254051439158632 3312159500572179 3660807869053461 3718915930467008 4183780421775384 4416212667429572 4737363287090112 4881077158737948 5578373895700512 6275670632663076 6508102878317264 6624319001144358 7321615738106922 7728372168001751 8367560843550768 8832425334859144 9762154317475896 9936478501716537 10982423607160383 11156747791401024 12551341265326152 13016205756634528 13248638002288716 14643231476213844 15456744336003502 16735121687101536 17664850669718288 19524308634951792 19872957003433074 21964847214320766 23185116504005253 25102682530652304 26032411513269056 26497276004577432 29286462952427688 29809435505149611 30913488672007004 33470243374203072 35329701339436576 39048617269903584 39745914006866148 43929694428641532 46370233008010506 50205365061304608 52994552009154864 58572925904855376 59618871010299222 61826977344014008 69555349512015759 70659402678873152 78097234539807168 79491828013732296 87859388857283064 92740466016021012 100410730122609216 105989104018309728 117145851809710752 119237742020598444 123653954688028016 139110699024031518 158983656027464592 175718777714566128 185480932032042024 208666048536047277 211978208036619456 234291703619421504 238475484041196888 247307909376056032 278221398048063036 317967312054929184 351437555429132256 370961864064084048 417332097072094554 476950968082393776 494615818752112064 556442796096126072 635934624109858368 702875110858264512 741923728128168096 834664194144189108 953901936164787552 1112885592192252144 1483847456256336192 1669328388288378216 1907803872329575104 2225771184384504288 3338656776576756432 4451542368769008576 6677313553153512864 13354627106307025728
- Sum of all divisors σ(n): 47246986569778944000
- Sum of proper divisors (its aliquot sum) s(n): 33892359463471918272
- 13354627106307025728 is an abundant number, because the sum of its proper divisors (33892359463471918272) is greater than itself. Its abundance is 20537732357164892544
Bases of 13354627106307025728
- Binary: 10111001010101010010101010011000111010110011101110101011010000002
- Hexadecimal: 0xB9552A98EB3BAB40
- Base-36: 2TGN07PK9B2O0
Squares and roots of 13354627106307025728
- 13354627106307025728 squared (133546271063070257282) is 178346065148510363454870631133653929984
- 13354627106307025728 cubed (133546271063070257283) is 2381745195935495245804483960716098532857382109457398628352
-
The
square root of 13354627106307025728 is 3654398323.4326038269 -
The
cube root of 13354627106307025728 is 2372523.8595711185
Scales and comparisons
How big is 13354627106307025728?- 13,354,627,106,307,025,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,354,627,106,307,025,728 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 13354627106307025728 cubic inches would be around 197710.3 feet tall.
Recreational maths with 13354627106307025728
- 13354627106307025728 backwards is 82752070360172645331
- 13354627106307025728 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13354627106307025728's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13354627106307025728 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
APA style:
Numbermatics. (2024). Number 13354627106307025728 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/13354627106307025728/
Chicago style:
Numbermatics. 2024. "Number 13354627106307025728 - Facts about the integer". https://numbermatics.com/n/13354627106307025728/
The information we have on file for 13354627106307025728 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!
Keywords: Divisors of 13354627106307025728, math, Factors of 13354627106307025728, curriculum, school, college, exams, university, Prime factorization of 13354627106307025728, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, three hundred fifty-four quadrillion, six hundred twenty-seven trillion, one hundred six billion, three hundred seven million, twenty-five thousand, seven hundred twenty-eight.