13478678391622533120
13,478,678,391,622,533,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 13478678391622533120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2142 divisors.
13478678391622533120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred forty-two divisors.
Prime factorization of 13478678391622533120:
216 × 36 × 5 × 292 × 81912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 29 × 8191 × 8191)See below for interesting mathematical facts about the number 13478678391622533120 from the Numbermatics database.
Names of 13478678391622533120
- Cardinal: 13478678391622533120 can be written as Thirteen quintillion, four hundred seventy-eight quadrillion, six hundred seventy-eight trillion, three hundred ninety-one billion, six hundred twenty-two million, five hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.347867839162253312 × 1019
Factors of 13478678391622533120
Divisors of 13478678391622533120
- Number of divisors d(n): 2142
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 64 72 80 81 87 90 96 108 116 120 128 135 144 145 160 162 174 180 192 216 232 240 243 256 261 270 288 290 320 324 348 360 384 405 432 435 464 480 486 512 522 540 576 580 640 648 696 720 729 768 783 810 841 864 870 928 960 972 1024 1044 1080 1152 1160 1215 1280 1296 1305 1392 1440 1458 1536 1566 1620 1682 1728 1740 1856 1920 1944 2048 2088 2160 2304 2320 2349 2430 2523 2560 2592 2610 2784 2880 2916 3072 3132 3240 3364 3456 3480 3645 3712 3840 3888 3915 4096 4176 4205 4320 4608 4640 4698 4860 5046 5120 5184 5220 5568 5760 5832 6144 6264 6480 6728 6912 6960 7047 7290 7424 7569 7680 7776 7830 8191 8192 8352 8410 8640 9216 9280 9396 9720 10092 10240 10368 10440 11136 11520 11664 11745 12288 12528 12615 12960 13456 13824 13920 14094 14580 14848 15138 15360 15552 15660 16382 16384 16704 16820 17280 18432 18560 18792 19440 20184 20480 20736 20880 21141 22272 22707 23040 23328 23490 24573 24576 25056 25230 25920 26912 27648 27840 28188 29160 29696 30276 30720 31104 31320 32764 32768 33408 33640 34560 35235 36864 37120 37584 37845 38880 40368 40955 40960 41472 41760 42282 44544 45414 46080 46656 46980 49146 49152 50112 50460 51840 53824 55296 55680 56376 58320 59392 60552 61440 62208 62640 65528 65536 66816 67280 68121 69120 70470 73719 73728 74240 75168 75690 77760 80736 81910 81920 82944 83520 84564 89088 90828 92160 93312 93960 98292 98304 100224 100920 103680 105705 107648 110592 111360 112752 113535 116640 118784 121104 122865 122880 124416 125280 131056 133632 134560 136242 138240 140940 147438 147456 148480 150336 151380 155520 161472 163820 163840 165888 167040 169128 178176 181656 184320 186624 187920 196584 196608 200448 201840 204363 207360 211410 215296 221157 221184 222720 225504 227070 233280 237539 237568 242208 245730 245760 248832 250560 262112 267264 269120 272484 276480 281880 294876 294912 296960 300672 302760 311040 322944 327640 327680 331776 334080 338256 340605 356352 363312 368595 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161382643577856 162503356380480 164534648335236 164554735583232 166947562321920 173336913472512 178077399810048 179314048419840 181555474025088 182816275928040 182838595092480 191268318314496 195004027656576 197863777566720 200337074786304 201728304472320 205668310419045 205693419479040 215176858103808 216671141840640 219379531113648 222596749762560 226944342531360 231115884630016 239085397893120 242073965366784 243755034570720 250421343482880 260005370208768 267116099715072 268971072629760 274224413892060 274257892638720 286902477471744 288894855787520 292506041484864 296795666350080 302592456708480 318780530524160 322765287155712 325006712760960 329069296670472 329109471166464 333895124643840 346673826945024 356154799620096 358628096839680 363110948050176 365632551856080 382536636628992 390008055313152 400674149572608 403456608944640 411336620838090 411386838958080 430353716207616 433342283681280 438759062227296 445193499525120 453888685062720 462231769260032 478170795786240 484147930733568 487510069141440 500842686965760 520010740417536 534232199430144 537942145259520 548448827784120 548515785277440 573804954943488 577789711575040 585012082969728 593591332700160 605184913416960 637561061048320 645530574311424 650013425521920 658138593340944 667790249287680 693347653890048 717256193679360 726221896100352 731265103712160 780016110626304 801348299145216 806913217889280 822673241676180 822773677916160 860707432415232 866684567362560 877518124454592 890386999050240 907777370125440 924463538520064 956341591572480 968295861467136 975020138282880 1001685373931520 1040021480835072 1068464398860288 1075884290519040 1096897655568240 1147609909886976 1155579423150080 1170024165939456 1210369826833920 1291061148622848 1300026851043840 1316277186681888 1335580498575360 1386695307780096 1434512387358720 1452443792200704 1462530207424320 1560032221252608 1602696598290432 1613826435778560 1645346483352360 1645547355832320 1721414864830464 1733369134725120 1755036248909184 1780773998100480 1815554740250880 1848927077040128 1912683183144960 1936591722934272 1950040276565760 2003370747863040 2080042961670144 2151768581038080 2193795311136480 2311158846300160 2340048331878912 2420739653667840 2582122297245696 2600053702087680 2632554373363776 2671160997150720 2773390615560192 2869024774717440 2904887584401408 2925060414848640 3120064442505216 3205393196580864 3227652871557120 3290692966704720 3442829729660928 3466738269450240 3510072497818368 3631109480501760 3697854154080256 3873183445868544 3900080553131520 4006741495726080 4160085923340288 4303537162076160 4387590622272960 4622317692600320 4680096663757824 4841479307335680 5164244594491392 5200107404175360 5265108746727552 5342321994301440 5546781231120384 5738049549434880 5809775168802816 5850120829697280 6240128885010432 6455305743114240 6581385933409440 6933476538900480 7020144995636736 7262218961003520 7746366891737088 7800161106263040 8013482991452160 8320171846680576 8607074324152320 8775181244545920 9244635385200640 9360193327515648 9682958614671360 10328489188982784 10400214808350720 10530217493455104 11093562462240768 11619550337605632 11700241659394560 12480257770020864 12910611486228480 13162771866818880 13866953077800960 14040289991273472 14524437922007040 15492733783474176 15600322212526080 16026965982904320 16640343693361152 17214148648304640 17550362489091840 18489270770401280 18720386655031296 19365917229342720 20800429616701440 21060434986910208 23239100675211264 23400483318789120 24960515540041728 25821222972456960 26325543733637760 27733906155601920 28080579982546944 29048875844014080 30985467566948352 31200644425052160 33280687386722304 35100724978183680 37440773310062592 38731834458685440 41600859233402880 42120869973820416 46478201350422528 46800966637578240 49921031080083456 51642445944913920 52651087467275520 55467812311203840 56161159965093888 58097751688028160 62401288850104320 70201449956367360 74881546620125184 77463668917370880 83201718466805760 84241739947640832 92956402700845056 93601933275156480 99842062160166912 105302174934551040 112322319930187776 116195503376056320 124802577700208640 140402899912734720 149763093240250368 154927337834741760 166403436933611520 168483479895281664 187203866550312960 210604349869102080 224644639860375552 232391006752112640 249605155400417280 280805799825469440 299526186480500736 336966959790563328 374407733100625920 421208699738204160 449289279720751104 464782013504225280 499210310800834560 561611599650938880 673933919581126656 748815466201251840 842417399476408320 898578559441502208 1123223199301877760 1347867839162253312 1497630932402503680 1684834798952816640 2246446398603755520 2695735678324506624 3369669597905633280 4492892797207511040 6739339195811266560 13478678391622533120
- Sum of all divisors σ(n): 50236925908334090094
- Sum of proper divisors (its aliquot sum) s(n): 36758247516711556974
- 13478678391622533120 is an abundant number, because the sum of its proper divisors (36758247516711556974) is greater than itself. Its abundance is 23279569125089023854
Bases of 13478678391622533120
- Binary: 10111011000011011110001010010101100001100110010100000000000000002
- Hexadecimal: 0xBB0DE29586650000
- Base-36: 2UEKGQ3AWW000
Squares and roots of 13478678391622533120
- 13478678391622533120 squared (134786783916225331202) is 181674771184792196305839167325496934400
- 13478678391622533120 cubed (134786783916225331203) is 2448735812671426606303899194269535324087368212522467328000
-
The
square root of 13478678391622533120 is 3671331964.2362134291 -
The
cube root of 13478678391622533120 is 2379847.3639620603
Scales and comparisons
How big is 13478678391622533120?- 13,478,678,391,622,533,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,478,678,391,622,533,120 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 13478678391622533120 cubic inches would be around 198320.6 feet tall.
Recreational maths with 13478678391622533120
- 13478678391622533120 backwards is 02133522619387687431
- 13478678391622533120 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13478678391622533120's digits is 81
- More coming soon!
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"Number 13478678391622533120 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13478678391622533120 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13478678391622533120/
Chicago style:
Numbermatics. 2024. "Number 13478678391622533120 - Facts about the integer". https://numbermatics.com/n/13478678391622533120/
The information we have on file for 13478678391622533120 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 13478678391622533120, math, Factors of 13478678391622533120, curriculum, school, college, exams, university, Prime factorization of 13478678391622533120, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred seventy-eight quadrillion, six hundred seventy-eight trillion, three hundred ninety-one billion, six hundred twenty-two million, five hundred thirty-three thousand, one hundred twenty.