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4444311121224 = 2331314244586927
BaseRepresentation
bin100000010101100010110…
…0101011110110101001000
3120201212112200110020221220
41000223011211132311020
51040303422121334344
613241404403202040
7636043113140352
oct100530545366510
916655480406856
104444311121224
111463904846207
125b9406976320
13263134700820
1411516a4900d2
157a917ab9c19
hex40ac595ed48

4444311121224 has 32 divisors (see below), whose sum is σ = 11965453019520. Its totient is φ = 1367480344896.

The previous prime is 4444311121223. The next prime is 4444311121231. The reversal of 4444311121224 is 4221211134444.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4444311121223) 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 7 ways as a sum of consecutive naturals, for example, 7122293152 + ... + 7122293775.

It is an arithmetic number, because the mean of its divisors is an integer number (373920406860).

Almost surely, 24444311121224 is an apocalyptic number.

It is an amenable number.

4444311121224 is an abundant number, since it is smaller than the sum of its proper divisors (7521141898296).

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

4444311121224 is a wasteful number, since it uses less digits than its factorization.

4444311121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14244586949 (or 14244586945 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 4444311121224 its reverse (4221211134444), we get a palindrome (8665522255668).

The spelling of 4444311121224 in words is "four trillion, four hundred forty-four billion, three hundred eleven million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 14244586927 28489173854 42733760781 56978347708 85467521562 113956695416 170935043124 185179630051 341870086248 370359260102 555538890153 740718520204 1111077780306 1481437040408 2222155560612 4444311121224