13926753835642752000
13,926,753,835,642,752,000 is an even composite number composed of six prime numbers multiplied together.
13926753835642752000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 13926753835642752000:
210 × 3 × 53 × 13 × 197 × 14161494773
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 197 × 14161494773)See below for interesting mathematical facts about the number 13926753835642752000 from the Numbermatics database.
Names of 13926753835642752000
- Cardinal: 13926753835642752000 can be written as Thirteen quintillion, nine hundred twenty-six quadrillion, seven hundred fifty-three trillion, eight hundred thirty-five billion, six hundred forty-two million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3926753835642752 × 1019
Factors of 13926753835642752000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 14161494993
Divisors of 13926753835642752000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 197 200 208 240 250 256 260 300 312 320 325 375 384 390 394 400 416 480 500 512 520 591 600 624 640 650 750 768 780 788 800 832 960 975 985 1000 1024 1040 1182 1200 1248 1280 1300 1500 1536 1560 1576 1600 1625 1664 1920 1950 1970 2000 2080 2364 2400 2496 2560 2561 2600 2955 3000 3072 3120 3152 3200 3250 3328 3840 3900 3940 4000 4160 4728 4800 4875 4925 4992 5120 5122 5200 5910 6000 6240 6304 6400 6500 6656 7680 7683 7800 7880 8000 8320 9456 9600 9750 9850 9984 10244 10400 11820 12000 12480 12608 12800 12805 13000 13312 14775 15360 15366 15600 15760 16000 16640 18912 19200 19500 19700 19968 20488 20800 23640 24000 24625 24960 25216 25600 25610 26000 29550 30732 31200 31520 32000 33280 37824 38400 38415 39000 39400 39936 40976 41600 47280 48000 49250 49920 50432 51220 52000 59100 61464 62400 63040 64000 64025 66560 73875 75648 76800 76830 78000 78800 81952 83200 94560 96000 98500 99840 100864 102440 104000 118200 122928 124800 126080 128000 128050 147750 151296 153660 156000 157600 163904 166400 189120 192000 192075 197000 199680 201728 204880 208000 236400 245856 249600 252160 256100 295500 302592 307320 312000 315200 320125 327808 332800 378240 384000 384150 394000 409760 416000 472800 491712 499200 504320 512200 591000 605184 614640 624000 630400 640250 655616 756480 768300 788000 819520 832000 945600 960375 983424 998400 1008640 1024400 1182000 1229280 1248000 1260800 1280500 1311232 1512960 1536600 1576000 1639040 1664000 1891200 1920750 1966848 2048800 2364000 2458560 2496000 2521600 2561000 2622464 3025920 3073200 3152000 3278080 3782400 3841500 3933696 4097600 4728000 4917120 4992000 5043200 5122000 6146400 6304000 6556160 7564800 7683000 7867392 8195200 9456000 9834240 10244000 12292800 12608000 13112320 15129600 15366000 16390400 18912000 19668480 20488000 24585600 25216000 30732000 32780800 37824000 39336960 40976000 49171200 61464000 65561600 75648000 81952000 98342400 122928000 163904000 196684800 245856000 327808000 491712000 983424000 14161494773 28322989546 42484484319 56645979092 70807473865 84968968638 113291958184 141614947730 169937937276 184099432049 212422421595 226583916368 283229895460 339875874552 354037369325 368198864098 424844843190 453167832736 552298296147 566459790920 679751749104 708074738650 736397728196 849689686380 906335665472 920497160245 1062112107975 1104596592294 1132919581840 1359503498208 1416149477300 1472795456392 1699379372760 1770186846625 1812671330944 1840994320490 2124224215950 2209193184588 2265839163680 2719006996416 2761491480735 2789814470281 2832298954600 2945590912784 3398758745520 3540373693250 3625342661888 3681988640980 4248448431900 4418386369176 4531678327360 4602485801225 5310560539875 5438013992832 5522982961470 5579628940562 5664597909200 5891181825568 6797517491040 7080747386500 7250685323776 7363977281960 8369443410843 8496896863800 8836772738352 9063356654720 9204971602450 10621121079750 10876027985664 11045965922940 11159257881124 11329195818400 11782363651136 13595034982080 13807457403675 13949072351405 14161494773000 14501370647552 14727954563920 16738886821686 16993793727600 17673545476704 18126713309440 18409943204900 21242242159500 21752055971328 22091931845880 22318515762248 22658391636800 23012429006125 23564727302272 27190069964160 27614914807350 27898144702810 28322989546000 29455909127840 33477773643372 33987587455200 35347090953408 36253426618880 36267588113653 36819886409800 41847217054215 42484484319000 43504111942656 44183863691760 44637031524496 45316783273600 46024858012250 47129454604544 54380139928320 55229829614700 55796289405620 56645979092000 58911818255680 66955547286744 67975174910400 69037287018375 69745361757025 70694181906816 72506853237760 72535176227306 73639772819600 83694434108430 84968968638000 88367727383520 89274063048992 90633566547200 92049716024500 94258909209088 108760279856640 108802764340959 110459659229400 111592578811240 113291958184000 117823636511360 133911094573488 135950349820800 138074574036750 139490723514050 141388363813632 145070352454612 147279545639200 167388868216860 169937937276000 176735454767040 178548126097984 181267133094400 181337940568265 184099432049000 188517818418176 209236085271075 217520559713280 217605528681918 220919318458800 223185157622480 226583916368000 235647273022720 267822189146976 271900699641600 276149148073500 278981447028100 282776727627264 290140704909224 294559091278400 334777736433720 339875874552000 348726808785125 353470909534080 357096252195968 362534266188800 362675881136530 368198864098000 418472170542150 435211057363836 441838636917600 446370315244960 453167832736000 471294546045440 535644378293952 543801399283200 544013821704795 552298296147000 557962894056200 565553455254528 580281409818448 589118182556800 669555472867440 679751749104000 697453617570250 706941819068160 714192504391936 725351762273060 736397728196000 836944341084300 870422114727672 883677273835200 892740630489920 906335665472000 906689702841325 942589092090880 1046180426355375 1071288756587904 1087602798566400 1088027643409590 1104596592294000 1115925788112400 1160562819636896 1178236365113600 1339110945734880 1359503498208000 1394907235140500 1413883638136320 1428385008783872 1450703524546120 1472795456392000 1673888682168600 1740844229455344 1767354547670400 1785481260979840 1812671330944000 1813379405682650 2092360852710750 2142577513175808 2176055286819180 2209193184588000 2231851576224800 2321125639273792 2356472730227200 2678221891469760 2719006996416000 2720069108523975 2789814470281000 2827767276272640 2856770017567744 2901407049092240 2945590912784000 3347777364337200 3481688458910688 3534709095340800 3570962521959680 3626758811365300 4184721705421500 4285155026351616 4352110573638360 4418386369176000 4463703152449600 4533448514206625 4642251278547584 4712945460454400 5356443782939520 5438013992832000 5440138217047950 5579628940562000 5802814098184480 5891181825568000 6695554728674400 6963376917821376 7069418190681600 7141925043919360 7253517622730600 8369443410843000 8570310052703232 8704221147276720 8836772738352000 8927406304899200 9066897028413250 9284502557095168 10712887565879040 10880276434095900 11159257881124000 11605628196368960 11782363651136000 13391109457348800 13600345542619875 13926753835642752 14138836381363200 14283850087838720 14507035245461200 16738886821686000 17408442294553440 17673545476704000 17854812609798400 18133794056826500 18569005114190336 21425775131758080 21760552868191800 22318515762248000 23211256392737920 23564727302272000 26782218914697600 27200691085239750 27853507671285504 29014070490922400 33477773643372000 34816884589106880 35347090953408000 35709625219596800 36267588113653000 37138010228380672 42851550263516160 43521105736383600 44637031524496000 46422512785475840 53564437829395200 54401382170479500 55707015342571008 58028140981844800 66955547286744000 69633769178213760 70694181906816000 71419250439193600 72535176227306000 87042211472767200 89274063048992000 92845025570951680 107128875658790400 108802764340959000 111414030685142016 116056281963689600 133911094573488000 139267538356427520 145070352454612000 174084422945534400 178548126097984000 185690051141903360 214257751317580800 217605528681918000 232112563927379200 267822189146976000 278535076712855040 290140704909224000 348168845891068800 357096252195968000 435211057363836000 464225127854758400 535644378293952000 557070153425710080 580281409818448000 696337691782137600 870422114727672000 928450255709516800 1071288756587904000 1160562819636896000 1392675383564275200 1740844229455344000 2321125639273792000 2785350767128550400 3481688458910688000 4642251278547584000 6963376917821376000 13926753835642752000
- Sum of all divisors σ(n): 50142358164407693184
- Sum of proper divisors (its aliquot sum) s(n): 36215604328764941184
- 13926753835642752000 is an abundant number, because the sum of its proper divisors (36215604328764941184) is greater than itself. Its abundance is 22288850493122189184
Bases of 13926753835642752000
- Binary: 11000001010001011100010011010011100011111100101110001100000000002
- Hexadecimal: 0xC145C4D38FCB8C00
- Base-36: 2XT4E7OL9EAYO
Squares and roots of 13926753835642752000
- 13926753835642752000 squared (139267538356427520002) is 193954472398590104987320970133504000000
- 13926753835642752000 cubed (139267538356427520003) is 2701156192417131018268363534343507822183089963008000000000
-
The
square root of 13926753835642752000 is 3731856620.4561975373 -
The
cube root of 13926753835642752000 is 2405931.7298561879
Scales and comparisons
How big is 13926753835642752000?- 13,926,753,835,642,752,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,926,753,835,642,752,000 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 13926753835642752000 cubic inches would be around 200494.3 feet tall.
Recreational maths with 13926753835642752000
- 13926753835642752000 backwards is 00025724653835762931
- 13926753835642752000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13926753835642752000's digits is 78
- 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 13926753835642752000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 13926753835642752000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13926753835642752000/
Chicago style:
Numbermatics. 2024. "Number 13926753835642752000 - Facts about the integer". https://numbermatics.com/n/13926753835642752000/
The information we have on file for 13926753835642752000 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 13926753835642752000, math, Factors of 13926753835642752000, curriculum, school, college, exams, university, Prime factorization of 13926753835642752000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, nine hundred twenty-six quadrillion, seven hundred fifty-three trillion, eight hundred thirty-five billion, six hundred forty-two million, seven hundred fifty-two thousand.