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14236654224144 = 24311239313360439
BaseRepresentation
bin1100111100101011101010…
…1101111100001100010000
31212102000021220121011010010
43033022322231330030100
53331223131440133034
650140121220234520
72666364364150602
oct317127255741420
955360256534103
1014236654224144
114599805184a10
12171b1aa83ba40
137c3684106841
143730b4627172
1519a4dc2633e9
hexcf2bab7c310

14236654224144 has 160 divisors (see below), whose sum is σ = 40418184499200. Its totient is φ = 4282349460480.

The previous prime is 14236654224139. The next prime is 14236654224223. The reversal of 14236654224144 is 44142245663241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14236654224093 and 14236654224102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39317877 + ... + 39678315.

It is an arithmetic number, because the mean of its divisors is an integer number (252613653120).

Almost surely, 214236654224144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14236654224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209092249600).

14236654224144 is an abundant number, since it is smaller than the sum of its proper divisors (26181530275056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14236654224144 is a wasteful number, since it uses less digits than its factorization.

14236654224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361013 (or 361007 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

Adding to 14236654224144 its reverse (44142245663241), we get a palindrome (58378899887385).

The spelling of 14236654224144 in words is "fourteen trillion, two hundred thirty-six billion, six hundred fifty-four million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 239 264 313 478 528 626 717 939 956 1252 1434 1878 1912 2504 2629 2868 3443 3756 3824 5008 5258 5736 6886 7512 7887 10329 10516 11472 13772 15024 15774 20658 21032 27544 31548 41316 42064 55088 63096 74807 82632 126192 149614 165264 224421 299228 360439 448842 598456 720878 822877 897684 1081317 1196912 1441756 1645754 1795368 2162634 2468631 2883512 3291508 3590736 3964829 4325268 4937262 5767024 6583016 7929658 8650536 9874524 11894487 13166032 15859316 17301072 19749048 23788974 31718632 39498096 47577948 63437264 86144921 95155896 112817407 172289842 190311792 225634814 258434763 338452221 344579684 451269628 516869526 676904442 689159368 902539256 947594131 1033739052 1240991477 1353808884 1378318736 1805078512 1895188262 2067478104 2481982954 2707617768 2842782393 3722974431 3790376524 4134956208 4963965908 5415235536 5685564786 7445948862 7580753048 9927931816 11371129572 14891897724 15161506096 19855863632 22742259144 26963360273 29783795448 45484518288 53926720546 59567590896 80890080819 107853441092 161780161638 215706882184 296596963003 323560323276 431413764368 593193926006 647120646552 889790889009 1186387852012 1294241293104 1779581778018 2372775704024 3559163556036 4745551408048 7118327112072 14236654224144