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BaseRepresentation
bin1100111011001111010…
…11101000001010100100
31120110100120020120022212
412131213223220022210
524234030001341234
6540005412542552
744041510150100
oct6354753501244
91513316216285
10444121121444
11161394881a30
12720a7321a58
1332b5a43c7b0
14176d1c12900
15b8450cd5ce
hex6767ae82a4

444121121444 has 144 divisors (see below), whose sum is σ = 1072483042176. Its totient is φ = 158172134400.

The previous prime is 444121121429. The next prime is 444121121447.

444121121444 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444121121444.

It is not an unprimeable number, because it can be changed into a prime (444121121447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2809964 + ... + 2963804.

It is an arithmetic number, because the mean of its divisors is an integer number (7447798904).

Almost surely, 2444121121444 is an apocalyptic number.

444121121444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444121121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536241521088).

444121121444 is an abundant number, since it is smaller than the sum of its proper divisors (628361920732).

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

444121121444 is a wasteful number, since it uses less digits than its factorization.

444121121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153986 (or 153977 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 444121 and 121444, that added together give a palindrome (565565).

The spelling of 444121121444 in words is "four hundred forty-four billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred forty-four".