13152610677253977504400
13,152,610,677,253,977,504,400 is an even composite number composed of seven prime numbers multiplied together.
13152610677253977504400 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 13152610677253977504400:
24 × 52 × 7 × 17 × 23 × 163 × 73703747762731
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 23 × 163 × 73703747762731)See below for interesting mathematical facts about the number 13152610677253977504400 from the Numbermatics database.
Names of 13152610677253977504400
- Cardinal: 13152610677253977504400 can be written as Thirteen sextillion, one hundred fifty-two quintillion, six hundred ten quadrillion, six hundred seventy-seven trillion, two hundred fifty-three billion, nine hundred seventy-seven million, five hundred four thousand, four hundred.
Scientific notation
- Scientific notation: 1.31526106772539775044 × 1022
Factors of 13152610677253977504400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 73703747762948
Divisors of 13152610677253977504400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 23 25 28 34 35 40 46 50 56 68 70 80 85 92 100 112 115 119 136 140 161 163 170 175 184 200 230 238 272 280 322 326 340 350 368 391 400 425 460 476 560 575 595 644 652 680 700 782 805 815 850 920 952 1141 1150 1190 1288 1304 1360 1400 1564 1610 1630 1700 1840 1904 1955 2282 2300 2380 2576 2608 2737 2771 2800 2975 3128 3220 3260 3400 3749 3910 4025 4075 4564 4600 4760 5474 5542 5705 5950 6256 6440 6520 6800 7498 7820 8050 8150 9128 9200 9520 9775 10948 11084 11410 11900 12880 13040 13685 13855 14996 15640 16100 16300 18256 18745 19397 19550 21896 22168 22820 23800 26243 27370 27710 28525 29992 31280 32200 32600 37490 38794 39100 43792 44336 45640 47600 52486 54740 55420 57050 59984 63733 64400 65200 68425 69275 74980 77588 78200 91280 93725 96985 104972 109480 110840 114100 127466 131215 136850 138550 149960 155176 156400 187450 193970 209944 218960 221680 228200 254932 262430 273700 277100 299920 310352 318665 374900 387940 419888 446131 456400 484925 509864 524860 547400 554200 637330 656075 749800 775880 892262 969850 1019728 1049720 1094800 1108400 1274660 1312150 1499600 1551760 1593325 1784524 1939700 2099440 2230655 2549320 2624300 3186650 3569048 3879400 4461310 5098640 5248600 6373300 7138096 7758800 8922620 10497200 11153275 12746600 17845240 22306550 25493200 35690480 44613100 89226200 178452400 73703747762731 147407495525462 294814991050924 368518738813655 515926234339117 589629982101848 737037477627310 1031852468678234 1179259964203696 1252963711966427 1474074955254620 1695186198542813 1842593694068275 2063704937356468 2505927423932854 2579631171695585 2948149910509240 3390372397085626 3685187388136550 4127409874712936 5011854847865708 5159262343391170 5896299821018480 6264818559832135 6780744794171252 7370374776273100 8254819749425872 8475930992714065 8770745983764989 10023709695731416 10318524686782340 11866303389799691 12013710885325153 12529637119664270 12898155858477925 13561489588342504 14740749552546200 16951861985428130 17541491967529978 20047419391462832 20637049373564680 23732606779599382 24027421770650306 25059274239328540 25796311716955850 27122979176685008 28818165375227821 29481499105092400 31324092799160675 33903723970856260 35082983935059956 41274098747129360 42379654963570325 43853729918824945 47465213559198764 48054843541300612 50118548478657080 51592623433911700 57636330750455642 59331516948998455 60068554426625765 62648185598321350 67807447941712520 70165967870119912 84095976197276071 84759309927140650 87707459837649890 94930427118397528 96109687082601224 100237096957314160 103185246867823400 115272661500911284 118663033897996910 120137108853251530 125296371196642700 135614895883425040 140331935740239824 144090826876139105 168191952394552142 169518619854281300 175414919675299780 189860854236795056 192219374165202448 201727157626594747 204233085050527601 206370493735646800 219268649594124725 230545323001822568 237326067795993820 240274217706503060 250592742393285400 276315350362478519 288181653752278210 296657584744992275 300342772133128825 336383904789104284 339037239708562600 350829839350599560 403454315253189494 408466170101055202 420479880986380355 438537299188249450 461090646003645136 474652135591987640 480548435413006120 501185484786570800 552630700724957038 576363307504556420 593315169489984550 600685544266257650 672767809578208568 678074479417125200 701659678701199120 720454134380695525 806908630506378988 816932340202110404 840959761972760710 877074598376498900 949304271183975280 961096870826012240 1008635788132973735 1021165425252638005 1105261401449914076 1152726615009112840 1186630338979969100 1201371088532515300 1345535619156417136 1381576751812392595 1429631595353693207 1440908268761391050 1613817261012757976 1633864680404220808 1681919523945521420 1754149196752997800 1934207452537349633 2017271576265947470 2042330850505276010 2102399404931901775 2210522802899828152 2305453230018225680 2373260677959938200 2402742177065030600 2763153503624785190 2859263190707386414 2881816537522782100 3227634522025515952 3267729360808441616 3363839047891042840 3508298393505995600 3868414905074699266 4034543152531894940 4084661701010552020 4204798809863803550 4421045605799656304 4697360956162134823 4746521355919876400 4805484354130061200 5043178940664868675 5105827126263190025 5526307007249570380 5718526381414772828 5763633075045564200 6727678095782085680 6907883759061962975 7148157976768466035 7736829810149398532 8069086305063789880 8169323402021104040 8409597619727607100 9394721912324269646 9671037262686748165 10086357881329737350 10211654252526380050 11052614014499140760 11437052762829545656 11527266150091128400 13815767518123925950 14296315953536932070 15473659620298797064 16138172610127579760 16338646804042208080 16819195239455214200 18789443824648539292 19342074525373496330 20172715762659474700 20423308505052760100 22105228028998281520 22874105525659091312 23486804780810674115 27631535036247851900 28592631907073864140 30947319240597594128 32881526693134943761 33638390478910428400 35740789883842330175 37578887649297078584 38684149050746992660 40345431525318949400 40846617010105520200 46973609561621348230 48355186313433740825 55263070072495703800 57185263814147728280 65763053386269887522 71481579767684660350 75157775298594157168 77368298101493985320 80690863050637898800 81693234020211040400 93947219123242696460 96710372626867481650 110526140144991407600 114370527628295456560 117434023904053370575 131526106772539775044 142963159535369320700 154736596202987970640 164407633465674718805 187894438246485392920 193420745253734963300 234868047808106741150 263052213545079550088 285926319070738641400 328815266931349437610 375788876492970785840 386841490507469926600 469736095616213482300 526104427090159100176 571852638141477282800 657630533862698875220 773682981014939853200 822038167328373594025 939472191232426964600 1315261067725397750440 1644076334656747188050 1878944382464853929200 2630522135450795500880 3288152669313494376100 6576305338626988752200 13152610677253977504400
- Sum of all divisors σ(n): 40144914878046154426368
- Sum of proper divisors (its aliquot sum) s(n): 26992304200792176921968
- 13152610677253977504400 is an abundant number, because the sum of its proper divisors (26992304200792176921968) is greater than itself. Its abundance is 13839693523538199417568
Bases of 13152610677253977504400
- Binary: 101100100100000001001000111101110101110001110011010011110101111010100100002
- Hexadecimal: 0x2C90123DD71CD3D7A90
- Base-36: 253RDBAP8EOKLN4
Squares and roots of 13152610677253977504400
- 13152610677253977504400 squared (131526106772539775044002) is 172991167627415332801243013530341252019360000
- 13152610677253977504400 cubed (131526106772539775044003) is 2275285478406975529152390193877976976557753651574968513285184000000
-
The
square root of 13152610677253977504400 is 114684831940.6449559993 -
The
cube root of 13152610677253977504400 is 23604999.1069144955
Scales and comparisons
How big is 13152610677253977504400?- 13,152,610,677,253,977,504,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,152,610,677,253,977,504,400 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 13152610677253977504400 cubic inches would be around 1967083.3 feet tall.
Recreational maths with 13152610677253977504400
- 13152610677253977504400 backwards is 00440577935277601625131
- 13152610677253977504400 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13152610677253977504400's digits is 85
- 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 13152610677253977504400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 13152610677253977504400 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13152610677253977504400/
Chicago style:
Numbermatics. 2024. "Number 13152610677253977504400 - Facts about the integer". https://numbermatics.com/n/13152610677253977504400/
The information we have on file for 13152610677253977504400 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 13152610677253977504400, math, Factors of 13152610677253977504400, curriculum, school, college, exams, university, Prime factorization of 13152610677253977504400, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, one hundred fifty-two quintillion, six hundred ten quadrillion, six hundred seventy-seven trillion, two hundred fifty-three billion, nine hundred seventy-seven million, five hundred four thousand, four hundred.