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14223544532241 = 3113749961338083
BaseRepresentation
bin1100111011111010110101…
…0100011011110100010001
31212100202110021101210122120
43032332231110123310101
53331014304400012431
650130112310124453
72665421456463522
oct316765524336421
955322407353576
1014223544532241
1145941980993a0
121718750350729
137c23750a9ab5
143725cd4a6849
15199ec1395196
hexcefad51bd11

14223544532241 has 64 divisors (see below), whose sum is σ = 21325821312000. Its totient is φ = 8356665335040.

The previous prime is 14223544532237. The next prime is 14223544532251.

14223544532241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14223544532241 - 22 = 14223544532237 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14223544532193 and 14223544532202.

It is not an unprimeable number, because it can be changed into a prime (14223544532251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373468986 + ... + 373507068.

It is an arithmetic number, because the mean of its divisors is an integer number (333215958000).

Almost surely, 214223544532241 is an apocalyptic number.

14223544532241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14223544532241 is a deficient number, since it is larger than the sum of its proper divisors (7102276779759).

14223544532241 is a wasteful number, since it uses less digits than its factorization.

14223544532241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39246.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 1422354 and 4532241, that added together give a palindrome (5954595).

The spelling of 14223544532241 in words is "fourteen trillion, two hundred twenty-three billion, five hundred forty-four million, five hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 37 111 407 499 613 1221 1497 1839 5489 6743 16467 18463 20229 22681 38083 55389 68043 114249 203093 249491 305887 418913 609279 748473 917661 1256739 1409071 3364757 4227213 10094271 11317819 15499781 19003417 23344879 33953457 46499343 57010251 70034637 124496009 209037587 256793669 373488027 627112761 703126429 770381007 863760523 2109379287 2591281569 7734390719 9501365753 11649094621 23203172157 28504097259 34947283863 128140040831 384420122493 431016500977 1293049502931 4741181510747 14223544532241