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14442222224441 = 1115160114467381
BaseRepresentation
bin1101001000101001011110…
…0001101000010000111001
31220010122220022001120002202
43102022113201220100321
53343110132342140231
650414355412035545
73020262505263614
oct322122741502071
956118808046082
1014442222224441
114668a03a35150
121752bbb002bb5
13809b84b57c3b
1437d015dc317b
151a0a1e43a5cb
hexd2297868439

14442222224441 has 16 divisors (see below), whose sum is σ = 15885879870336. Its totient is φ = 13020642000000.

The previous prime is 14442222224431. The next prime is 14442222224483.

14442222224441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14442222224441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14442222224395 and 14442222224404.

It is not an unprimeable number, because it can be changed into a prime (14442222224411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6235430 + ... + 8231951.

It is an arithmetic number, because the mean of its divisors is an integer number (992867491896).

Almost surely, 214442222224441 is an apocalyptic number.

14442222224441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14442222224441 is a deficient number, since it is larger than the sum of its proper divisors (1443657645895).

14442222224441 is a wasteful number, since it uses less digits than its factorization.

14442222224441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468144.

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 1444222 and 2224441, that added together give a palindrome (3668663).

The spelling of 14442222224441 in words is "fourteen trillion, four hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 11 151 601 1661 6611 90751 998261 14467381 159141191 2184574531 8694895981 24030319841 95643855791 1312929293131 14442222224441