13504978689720320
13,504,978,689,720,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 13504978689720320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
13504978689720320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13504978689720320:
223 × 5 × 112 × 412 × 1583
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 41 × 41 × 1583)See below for interesting mathematical facts about the number 13504978689720320 from the Numbermatics database.
Names of 13504978689720320
- Cardinal: 13504978689720320 can be written as Thirteen quadrillion, five hundred four trillion, nine hundred seventy-eight billion, six hundred eighty-nine million, seven hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.350497868972032 × 1016
Factors of 13504978689720320
Divisors of 13504978689720320
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 121 128 160 164 176 205 220 242 256 320 328 352 410 440 451 484 512 605 640 656 704 820 880 902 968 1024 1210 1280 1312 1408 1583 1640 1681 1760 1804 1936 2048 2255 2420 2560 2624 2816 3166 3280 3362 3520 3608 3872 4096 4510 4840 4961 5120 5248 5632 6332 6560 6724 7040 7216 7744 7915 8192 8405 9020 9680 9922 10240 10496 11264 12664 13120 13448 14080 14432 15488 15830 16384 16810 17413 18040 18491 19360 19844 20480 20992 22528 24805 25328 26240 26896 28160 28864 30976 31660 32768 33620 34826 36080 36982 38720 39688 40960 41984 45056 49610 50656 52480 53792 56320 57728 61952 63320 64903 65536 67240 69652 72160 73964 77440 79376 81920 83968 87065 90112 92455 99220 101312 104960 107584 112640 115456 123904 126640 129806 131072 134480 139304 144320 147928 154880 158752 163840 167936 174130 180224 184910 191543 198440 202624 203401 209920 215168 225280 230912 247808 253280 259612 262144 268960 278608 288640 295856 309760 317504 324515 327680 335872 348260 360448 369820 383086 396880 405248 406802 419840 430336 450560 461824 495616 506560 519224 524288 537920 557216 577280 591712 619520 635008 649030 655360 671744 696520 713933 720896 739640 766172 793760 810496 813604 839680 860672 901120 923648 957715 991232 1013120 1017005 1038448 1048576 1075840 1114432 1154560 1183424 1239040 1270016 1298060 1310720 1343488 1393040 1427866 1441792 1479280 1532344 1587520 1620992 1627208 1679360 1721344 1802240 1847296 1915430 1982464 2026240 2034010 2076896 2097152 2151680 2228864 2309120 2366848 2478080 2540032 2596120 2621440 2661023 2686976 2786080 2855732 2883584 2958560 3064688 3175040 3241984 3254416 3358720 3442688 3569665 3604480 3694592 3830860 3964928 4052480 4068020 4153792 4194304 4303360 4457728 4618240 4733696 4956160 5080064 5192240 5242880 5322046 5373952 5572160 5711464 5767168 5917120 6129376 6350080 6483968 6508832 6717440 6885376 7139330 7208960 7389184 7661720 7853263 7929856 8104960 8136040 8307584 8388608 8606720 8915456 9236480 9467392 9912320 10160128 10384480 10485760 10644092 10747904 11144320 11422928 11534336 11834240 12258752 12700160 12967936 13017664 13305115 13434880 13770752 14278660 14417920 14778368 15323440 15706526 15859712 16209920 16272080 16615168 17213440 17830912 18472960 18934784 19824640 20320256 20768960 20971520 21288184 21495808 22288640 22845856 23068672 23668480 24517504 25400320 25935872 26035328 26610230 26869760 27541504 28557320 28835840 29271253 29556736 30646880 31413052 31719424 32419840 32544160 33230336 34426880 35661824 36945920 37869568 39266315 39649280 40640512 41537920 41943040 42576368 42991616 44577280 45691712 46137344 47336960 49035008 50800640 51871744 52070656 53220460 53739520 55083008 57114640 57671680 58542506 59113472 61293760 62826104 63438848 64839680 65088320 66460672 68853760 71323648 73891840 75739136 78532630 79298560 81281024 83075840 85152736 85983232 89154560 91383424 92274688 94673920 98070016 101601280 103743488 104141312 106440920 107479040 110166016 114229280 115343360 117085012 118226944 122587520 125652208 126877696 129679360 130176640 132921344 137707520 142647296 146356265 147783680 151478272 157065260 158597120 162562048 166151680 170305472 171966464 178309120 182766848 189347840 196140032 203202560 207486976 208282624 212881840 214958080 220332032 228458560 230686720 234170024 236453888 245175040 251304416 253755392 259358720 260353280 265842688 275415040 285294592 292712530 295567360 302956544 314130520 317194240 321983783 325124096 332303360 340610944 343932928 356618240 365533696 378695680 392280064 406405120 414973952 416565248 425763680 429916160 440664064 456917120 461373440 468340048 472907776 490350080 502608832 507510784 518717440 520706560 531685376 550830080 570589184 585425060 591134720 605913088 628261040 634388480 643967566 650248192 664606720 681221888 713236480 731067392 757391360 784560128 812810240 829947904 833130496 851527360 859832320 881328128 913834240 936680096 945815552 980700160 1005217664 1015021568 1037434880 1041413120 1063370752 1101660160 1141178368 1170850120 1182269440 1211826176 1256522080 1268776960 1287935132 1300496384 1329213440 1362443776 1426472960 1462134784 1514782720 1569120256 1609918915 1625620480 1659895808 1666260992 1703054720 1719664640 1762656256 1827668480 1873360192 1891631104 1961400320 2010435328 2074869760 2082826240 2126741504 2203320320 2282356736 2341700240 2364538880 2423652352 2513044160 2537553920 2575870264 2600992768 2658426880 2724887552 2852945920 2924269568 3029565440 3138240512 3219837830 3251240960 3319791616 3332521984 3406109440 3525312512 3655336960 3746720384 3783262208 3922800640 4020870656 4149739520 4165652480 4253483008 4406640640 4564713472 4683400480 4729077760 4847304704 5026088320 5075107840 5151740528 5201985536 5316853760 5449775104 5705891840 5848539136 6059130880 6276481024 6439675660 6502481920 6639583232 6665043968 6812218880 7050625024 7310673920 7493440768 7845601280 8041741312 8299479040 8331304960 8506966016 8813281280 9129426944 9366800960 9458155520 9694609408 10052176640 10303481056 10403971072 10633707520 10899550208 11411783680 11697078272 12118261760 12552962048 12879351320 13004963840 13279166464 13330087936 13624437760 14101250048 14621347840 14986881536 15691202560 16083482624 16598958080 16662609920 17013932032 17626562560 18258853888 18733601920 18916311040 19389218816 20104353280 20606962112 20807942144 21267415040 21799100416 22823567360 23394156544 24236523520 25105924096 25758702640 26009927680 26660175872 27248875520 29242695680 29973763072 31382405120 32166965248 33197916160 33325219840 34027864064 35253125120 36517707776 37467203840 38778437632 40208706560 41213924224 41615884288 42534830080 43598200832 45647134720 46788313088 48473047040 50211848192 51517405280 52019855360 53320351744 54497751040 58485391360 59947526144 62764810240 64333930496 66395832320 66650439680 68055728128 70506250240 73035415552 74934407680 77556875264 80417413120 82427848448 85069660160 87196401664 91294269440 93576626176 96946094080 100423696384 103034810560 104039710720 106640703488 108995502080 116970782720 119895052288 125529620480 128667860992 133300879360 136111456256 146070831104 149868815360 155113750528 160834826240 164855696896 170139320320 174392803328 182588538880 187153252352 193892188160 200847392768 206069621120 208079421440 213281406976 217991004160 233941565440 239790104576 251059240960 257335721984 266601758720 272222912512 299737630720 321669652480 329711393792 340278640640 348785606656 365177077760 374306504704 387784376320 401694785536 412139242240 426562813952 435982008320 467883130880 479580209152 502118481920 514671443968 533203517440 544445825024 599475261440 643339304960 659422787584 680557281280 697571213312 730354155520 748613009408 775568752640 803389571072 824278484480 853125627904 871964016640 935766261760 959160418304 1004236963840 1029342887936 1066407034880 1198950522880 1286678609920 1318845575168 1361114562560 1395142426624 1497226018816 1606779142144 1648556968960 1706251255808 1743928033280 1871532523520 1918320836608 2008473927680 2058685775872 2132814069760 2397901045760 2573357219840 2637691150336 2722229125120 2790284853248 2994452037632 3297113937920 3487856066560 3743065047040 3836641673216 4016947855360 4117371551744 4265628139520 4795802091520 5146714439680 5275382300672 5580569706496 5988904075264 6594227875840 6975712133120 7486130094080 7673283346432 8033895710720 8234743103488 8531256279040 9591604183040 10293428879360 10550764601344 11161139412992 13188455751680 13951424266240 14972260188160 15346566692864 16469486206976 19183208366080 20586857758720 21101529202688 22322278825984 26376911503360 27902848532480 29944520376320 30693133385728 32938972413952 38366416732160 41173715517440 42203058405376 52753823006720 55805697064960 61386266771456 65877944827904 76732833464320 82347431034880 84406116810752 105507646013440 111611394129920 122772533542912 153465666928640 164694862069760 168812233621504 211015292026880 245545067085824 306931333857280 329389724139520 337624467243008 422030584053760 613862667714560 675248934486016 844061168107520 1227725335429120 1350497868972032 1688122336215040 2700995737944064 3376244672430080 6752489344860160 13504978689720320
- Sum of all divisors σ(n): 36539551815006240
- Sum of proper divisors (its aliquot sum) s(n): 23034573125285920
- 13504978689720320 is an abundant number, because the sum of its proper divisors (23034573125285920) is greater than itself. Its abundance is 9529594435565600
Bases of 13504978689720320
- Binary: 1011111111101010110100111000011000000000000000000000002
- Hexadecimal: 0x2FFAB4E1800000
- Base-36: 3OZ45K7N4ZK
Squares and roots of 13504978689720320
- 13504978689720320 squared (135049786897203202) is 182384449409799971220039820902400
- 13504978689720320 cubed (135049786897203203) is 2463098102615722405678318226287507832746016768000
-
The
square root of 13504978689720320 is 116210923.2805605069 -
The
cube root of 13504978689720320 is 238139.4252246967
Scales and comparisons
How big is 13504978689720320?- 13,504,978,689,720,320 seconds is equal to 429,416,548 years, 35 weeks, 6 days, 14 hours, 45 minutes, 20 seconds.
-
To count from 1 to 13,504,978,689,720,320 would take you about one billion, two hundred eighty-eight million, two hundred forty-nine thousand, six hundred forty-six 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 13504978689720320 cubic inches would be around 19845 feet tall.
Recreational maths with 13504978689720320
- 13504978689720320 backwards is 02302798687940531
- The number of decimal digits it has is: 17
- The sum of 13504978689720320's digits is 74
- More coming soon!
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The information we have on file for 13504978689720320 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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