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1224416144221 = 191011394590281
BaseRepresentation
bin10001110100010100111…
…000111010101101011101
311100001102122222202020021
4101310110320322231131
5130030101013103341
62334253343152141
7154314113334664
oct21642470725535
94301378882207
101224416144221
114322a9aa1686
121793725a5651
138b600b88a1a
144339512bddb
1521cb34cd9d1
hex11d14e3ab5d

1224416144221 has 16 divisors (see below), whose sum is σ = 1310984539200. Its totient is φ = 1140225552000.

The previous prime is 1224416144201. The next prime is 1224416144261.

1224416144221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1224416144221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224416144201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028400 + ... + 2561881.

It is an arithmetic number, because the mean of its divisors is an integer number (81936533700).

Almost surely, 21224416144221 is an apocalyptic number.

It is an amenable number.

1224416144221 is a deficient number, since it is larger than the sum of its proper divisors (86568394979).

1224416144221 is a wasteful number, since it uses less digits than its factorization.

1224416144221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590540.

The product of its digits is 24576, while the sum is 34.

The spelling of 1224416144221 in words is "one trillion, two hundred twenty-four billion, four hundred sixteen million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 19 101 139 1919 2641 14039 266741 4590281 87215339 463618381 638049059 8808749239 12122932121 64442954959 1224416144221