13324137666932736
13,324,137,666,932,736 is an even composite number composed of five prime numbers multiplied together.
What does the number 13324137666932736 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 624 divisors.
13324137666932736 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 13324137666932736:
212 × 35 × 7 × 127 × 15058133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 127 × 15058133)See below for interesting mathematical facts about the number 13324137666932736 from the Numbermatics database.
Names of 13324137666932736
- Cardinal: 13324137666932736 can be written as Thirteen quadrillion, three hundred twenty-four trillion, one hundred thirty-seven billion, six hundred sixty-six million, nine hundred thirty-two thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.3324137666932736 × 1016
Factors of 13324137666932736
Divisors of 13324137666932736
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 127 128 144 162 168 189 192 216 224 243 252 254 256 288 324 336 378 381 384 432 448 486 504 508 512 567 576 648 672 756 762 768 864 889 896 972 1008 1016 1024 1134 1143 1152 1296 1344 1512 1524 1536 1701 1728 1778 1792 1944 2016 2032 2048 2268 2286 2304 2592 2667 2688 3024 3048 3072 3402 3429 3456 3556 3584 3888 4032 4064 4096 4536 4572 4608 5184 5334 5376 6048 6096 6144 6804 6858 6912 7112 7168 7776 8001 8064 8128 9072 9144 9216 10287 10368 10668 10752 12096 12192 12288 13608 13716 13824 14224 14336 15552 16002 16128 16256 18144 18288 18432 20574 20736 21336 21504 24003 24192 24384 27216 27432 27648 28448 28672 30861 31104 32004 32256 32512 36288 36576 36864 41148 41472 42672 43008 48006 48384 48768 54432 54864 55296 56896 61722 62208 64008 64512 65024 72009 72576 73152 82296 82944 85344 86016 96012 96768 97536 108864 109728 110592 113792 123444 124416 128016 129024 130048 144018 145152 146304 164592 165888 170688 192024 193536 195072 216027 217728 219456 227584 246888 248832 256032 258048 260096 288036 290304 292608 329184 331776 341376 384048 387072 390144 432054 435456 438912 455168 493776 497664 512064 520192 576072 580608 585216 658368 682752 768096 774144 780288 864108 870912 877824 910336 987552 995328 1024128 1152144 1161216 1170432 1316736 1365504 1536192 1560576 1728216 1741824 1755648 1820672 1975104 2048256 2304288 2322432 2340864 2633472 2731008 3072384 3456432 3483648 3511296 3641344 3950208 4096512 4608576 4681728 5266944 5462016 6144768 6912864 6967296 7022592 7900416 8193024 9217152 10533888 10924032 12289536 13825728 14045184 15058133 15800832 16386048 18434304 21067776 24579072 27651456 30116266 31601664 32772096 36868608 42135552 45174399 49158144 55302912 60232532 63203328 73737216 90348798 98316288 105406931 110605824 120465064 126406656 135523197 147474432 180697596 210813862 221211648 240930128 271046394 294948864 316220793 361395192 406569591 421627724 442423296 481860256 542092788 632441586 722790384 813139182 843255448 884846592 948662379 963720512 1084185576 1219708773 1264883172 1445580768 1626278364 1686510896 1897324758 1912382891 1927441024 2168371152 2439417546 2529766344 2845987137 2891161536 3252556728 3373021792 3659126319 3794649516 3824765782 3854882048 4336742304 4878835092 5059532688 5691974274 5737148673 5782323072 6505113456 6746043584 7318252638 7589299032 7649531564 7709764096 8537961411 8673484608 9757670184 10119065376 11383948548 11474297346 11564646144 13010226912 13386680237 13492087168 14636505276 15178598064 15299063128 15419528192 17075922822 17211446019 17346969216 19515340368 20238130752 22767897096 22948594692 23129292288 25613884233 26020453824 26773360474 26984174336 29273010552 30357196128 30598126256 30839056384 34151845644 34422892038 34693938432 39030680736 40160040711 40476261504 45535794192 45897189384 46258584576 51227768466 51634338057 52040907648 53546720948 53968348672 58546021104 60714392256 61196252512 61678112768 68303691288 68845784076 69387876864 78061361472 80320081422 80952523008 91071588384 91794378768 92517169152 102455536932 103268676114 104081815296 107093441896 107936697344 117092042208 120480122133 121428784512 122392505024 136607382576 137691568152 138775753728 154903014171 156122722944 160640162844 161905046016 182143176768 183588757536 185034338304 204911073864 206537352228 208163630592 214186883792 215873394688 234184084416 240960244266 242857569024 244785010048 273214765152 275383136304 277551507456 309806028342 312245445888 321280325688 323810092032 361440366399 364286353536 367177515072 409822147728 413074704456 416327261184 428373767584 431746789376 464709042513 468368168832 481920488532 485715138048 489570020096 546429530304 550766272608 555103014912 619612056684 624490891776 642560651376 647620184064 722880732798 728572707072 734355030144 819644295456 826149408912 832654522368 856747535168 929418085026 936736337664 963840977064 971430276096 979140040192 1084321099197 1092859060608 1101532545216 1239224113368 1248981783552 1285121302752 1295240368128 1445761465596 1457145414144 1468710060288 1639288590912 1652298817824 1665309044736 1713495070336 1858836170052 1873472675328 1927681954128 1942860552192 1958280080384 2168642198394 2185718121216 2203065090432 2478448226736 2497963567104 2570242605504 2891522931192 2914290828288 2937420120576 3252963297591 3278577181824 3304597635648 3426990140672 3717672340104 3746945350656 3855363908256 3885721104384 3916560160768 4337284396788 4371436242432 4406130180864 4956896453472 4995927134208 5140485211008 5783045862384 5828581656576 5874840241152 6505926595182 6557154363648 6609195271296 6853980281344 7435344680208 7493890701312 7710727816512 7833120321536 8674568793576 8742872484864 8812260361728 9913792906944 10280970422016 11566091724768 11657163313152 11749680482304 13011853190364 13114308727296 13218390542592 13707960562688 14870689360416 14987781402624 15421455633024 17349137587152 17485744969728 17624520723456 19827585813888 20561940844032 23132183449536 23499360964608 26023706380728 26228617454592 26436781085184 27415921125376 29741378720832 30842911266048 34698275174304 34971489939456 35249041446912 39655171627776 41123881688064 46264366899072 52047412761456 52457234909184 52873562170368 54831842250752 59482757441664 61685822532096 69396550348608 70498082893824 79310343255552 82247763376128 92528733798144 104094825522912 104914469818368 105747124340736 118965514883328 123371645064192 138793100697216 158620686511104 164495526752256 185057467596288 208189651045824 211494248681472 237931029766656 246743290128384 277586201394432 317241373022208 370114935192576 416379302091648 475862059533312 493486580256768 555172402788864 634482746044416 740229870385152 832758604183296 951724119066624 1110344805577728 1480459740770304 1665517208366592 1903448238133248 2220689611155456 3331034416733184 4441379222310912 6662068833466368 13324137666932736
- Sum of all divisors σ(n): 45973696426205184
- Sum of proper divisors (its aliquot sum) s(n): 32649558759272448
- 13324137666932736 is an abundant number, because the sum of its proper divisors (32649558759272448) is greater than itself. Its abundance is 19325421092339712
Bases of 13324137666932736
- Binary: 1011110101011000111011100011001001001101110000000000002
- Hexadecimal: 0x2F563B8C937000
- Base-36: 3N70GCBUO00
Squares and roots of 13324137666932736
- 13324137666932736 squared (133241376669327362) is 177532644567375733296938348445696
- 13324137666932736 cubed (133241376669327363) is 2365469396590352371559302382977583716561380704256
-
The
square root of 13324137666932736 is 115430228.5665792831 -
The
cube root of 13324137666932736 is 237071.6944219535
Scales and comparisons
How big is 13324137666932736?- 13,324,137,666,932,736 seconds is equal to 423,666,363 years, 28 weeks, 2 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 13,324,137,666,932,736 would take you about one billion, two hundred seventy million, nine hundred ninety-nine thousand and ninety 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 13324137666932736 cubic inches would be around 19756 feet tall.
Recreational maths with 13324137666932736
- 13324137666932736 backwards is 63723966673142331
- 13324137666932736 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13324137666932736's digits is 72
- More coming soon!
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