13824019021824

Names of 13824019021824

• Cardinal: 13824019021824 can be written as Thirteen trillion, eight hundred twenty-four billion, nineteen million, twenty-one thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.3824019021824 × 10¹³

Factors of 13824019021824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 449

Divisors of 13824019021824

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 256 264 288 297 324 352 384 396 432 433 486 512 528 576 594 648 704 729 768 792 864 866 891 972 1024 1056 1152 1188 1296 1299 1408 1458 1536 1584 1728 1732 1782 1944 2048 2112 2187 2304 2376 2592 2598 2673 2816 2916 3072 3168 3456 3464 3564 3888 3897 4096 4224 4374 4608 4752 4763 5184 5196 5346 5632 5832 6144 6336 6561 6912 6928 7128 7776 7794 8019 8192 8448 8748 9216 9504 9526 10368 10392 10692 11264 11664 11691 12288 12672 13122 13824 13856 14256 14289 15552 15588 16038 16384 16896 17496 18432 19008 19052 19683 20736 20784 21384 22528 23328 23382 24057 24576 25344 26244 27648 27712 28512 28578 31104 31176 32076 33792 34992 35073 36864 38016 38104 39366 41472 41568 42768 42867 45056 46656 46764 48114 49152 50688 52488 55296 55424 57024 57156 59049 62208 62352 64152 67584 69984 70146 72171 73728 76032 76208 78732 82944 83136 85536 85734 90112 93312 93528 96228 101376 104976 105219 110592 110848 114048 114312 118098 124416 124704 128304 128601 135168 139968 140292 144342 147456 152064 152416 157464 165888 166272 171072 171468 177147 180224 186624 187056 192456 202752 209952 210438 216513 221184 221696 228096 228624 236196 248832 249408 256608 257202 270336 279936 280584 288684 304128 304832 314928 315657 331776 332544 342144 342936 354294 373248 374112 384912 385803 405504 419904 420876 433026 442368 443392 456192 457248 472392 497664 498816 513216 514404 540672 559872 561168 577368 608256 609664 629856 631314 649539 663552 665088 684288 685872 708588 746496 748224 769824 771606 811008 839808 841752 866052 886784 912384 914496 944784 946971 995328 997632 1026432 1028808 1119744 1122336 1154736 1157409 1216512 1219328 1259712 1262628 1299078 1327104 1330176 1368576 1371744 1417176 1492992 1496448 1539648 1543212 1622016 1679616 1683504 1732104 1773568 1824768 1828992 1889568 1893942 1948617 1990656 1995264 2052864 2057616 2239488 2244672 2309472 2314818 2433024 2438656 2519424 2525256 2598156 2660352 2737152 2743488 2834352 2840913 2985984 2992896 3079296 3086424 3359232 3367008 3464208 3472227 3547136 3649536 3657984 3779136 3787884 3897234 3981312 3990528 4105728 4115232 4478976 4489344 4618944 4629636 4866048 4877312 5038848 5050512 5196312 5320704 5474304 5486976 5668704 5681826 5971968 5985792 6158592 6172848 6718464 6734016 6928416 6944454 7094272 7299072 7315968 7558272 7575768 7794468 7981056 8211456 8230464 8522739 8957952 8978688 9237888 9259272 9754624 10077696 10101024 10392624 10416681 10641408 10948608 10973952 11337408 11363652 11943936 11971584 12317184 12345696 13436928 13468032 13856832 13888908 14598144 14631936 15116544 15151536 15588936 15962112 16422912 16460928 17045478 17915904 17957376 18475776 18518544 19509248 20155392 20202048 20785248 20833362 21282816 21897216 21947904 22674816 22727304 23943168 24634368 24691392 25568217 26873856 26936064 27713664 27777816 29263872 30233088 30303072 31177872 31250043 31924224 32845824 32921856 34090956 35831808 35914752 36951552 37037088 39018496 40310784 40404096 41570496 41666724 43794432 43895808 45349632 45454608 47886336 49268736 49382784 51136434 53747712 53872128 55427328 55555632 58527744 60466176 60606144 62355744 62500086 63848448 65691648 65843712 68181912 71829504 73903104 74074176 76704651 78036992 80621568 80808192 83140992 83333448 87791616 90699264 90909216 93750129 95772672 98537472 98765568 102272868 107495424 107744256 110854656 111111264 117055488 120932352 121212288 124711488 125000172 131383296 131687424 136363824 143659008 147806208 148148352 153409302 161243136 161616384 166281984 166666896 175583232 181398528 181818432 187500258 191545344 197074944 197531136 204545736 215488512 221709312 222222528 234110976 241864704 242424576 249422976 250000344 263374848 272727648 281250387 287318016 295612416 296296704 306818604 322486272 323232768 332563968 333333792 351166464 362797056 363636864 375000516 394149888 395062272 409091472 430977024 443418624 444445056 483729408 484849152 498845952 500000688 526749696 545455296 562500774 574636032 591224832 592593408 613637208 646465536 665127936 666667584 702332928 725594112 727273728 750001032 790124544 818182944 843751161 861954048 886837248 888890112 967458816 969698304 997691904 1000001376 1053499392 1090910592 1125001548 1182449664 1185186816 1227274416 1292931072 1330255872 1333335168 1451188224 1454547456 1500002064 1580249088 1636365888 1687502322 1723908096 1773674496 1777780224 1939396608 1995383808 2000002752 2106998784 2181821184 2250003096 2370373632 2454548832 2585862144 2660511744 2666670336 2902376448 2909094912 3000004128 3160498176 3272731776 3375004644 3547348992 3555560448 3878793216 3990767616 4000005504 4363642368 4500006192 4740747264 4909097664 5171724288 5321023488 5333340672 5818189824 6000008256 6320996352 6545463552 6750009288 7111120896 7757586432 7981535232 8000011008 8727284736 9000012384 9481494528 9818195328 10642046976 10666681344 11636379648 12000016512 13090927104 13500018576 14222241792 15515172864 15963070464 16000022016 17454569472 18000024768 18962989056 19636390656 21333362688 23272759296 24000033024 26181854208 27000037152 28444483584 31926140928 32000044032 34909138944 36000049536 39272781312 42666725376 46545518592 48000066048 52363708416 54000074304 56888967168 64000088064 69818277888 72000099072 78545562624 85333450752 96000132096 104727416832 108000148608 128000176128 139636555776 144000198144 157091125248 170666901504 192000264192 209454833664 216000297216 256000352256 288000396288 314182250496 384000528384 418909667328 432000594432 512000704512 576000792576 628364500992 768001056768 864001188864 1152001585152 1256729001984 1536002113536 1728002377728 2304003170304 3456004755456 4608006340608 6912009510912 13824019021824
• Sum of all divisors σ(n): 45345260425920
• Sum of proper divisors (its aliquot sum) s(n): 31521241404096
• 13824019021824 is an abundant number, because the sum of its proper divisors (31521241404096) is greater than itself. Its abundance is 17697222382272

Bases of 13824019021824

• Binary: 11001001001010100111101111100100000000000000₂
• Hexadecimal: 0xC92A7BE4000
• Base-36: 4WEO00000

Squares and roots of 13824019021824

• 13824019021824 squared (13824019021824²) is 191103501915751781788286976
• 13824019021824 cubed (13824019021824³) is 2641818445620531856534500019424118964224
• The square root of 13824019021824 is 3718066.5703862807
• The cube root of 13824019021824 is 24000.0110079949

Scales and comparisons

• 13,824,019,021,824 seconds is equal to 439,561 years, 2 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,824,019,021,824 would take you about one million, ninety-eight thousand, nine hundred two 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 13824019021824 cubic inches would be around 2000 feet tall.

Recreational maths with 13824019021824

• 13824019021824 backwards is 42812091042831
• The number of decimal digits it has is: 14
• The sum of 13824019021824's digits is 45
• More coming soon!