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44441122114444 = 22111923210129851
BaseRepresentation
bin10100001101011010000010…
…10011000000101110001100
312211100112022012200221101011
422012231001103000232030
521311110404230130234
6234303545240055004
712234523302131266
oct1206550123005614
9184315265627334
1044441122114444
1113184412946290
124b98ba1a64464
131ba4a1a3a8413
14ad8d67202b36
1552103785ab64
hex286b414c0b8c

44441122114444 has 216 divisors, whose sum is σ = 94302350130240. Its totient is φ = 18122187600000.

The previous prime is 44441122114409. The next prime is 44441122114531.

44441122114444 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44441122114397 and 44441122114406.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4511326119 + ... + 4511335969.

Almost surely, 244441122114444 is an apocalyptic number.

44441122114444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44441122114444 is an abundant number, since it is smaller than the sum of its proper divisors (49861228015796).

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

44441122114444 is a wasteful number, since it uses less digits than its factorization.

44441122114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10007 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

It can be divided in two parts, 4444112 and 2114444, that added together give a palindrome (6558556).

The spelling of 44441122114444 in words is "forty-four trillion, four hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred forty-four".