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4448118444 = 22371111714111
BaseRepresentation
bin1000010010010000…
…01110011010101100
3102110222220211101120
410021020032122230
533102204242234
62013214340540
7215141245230
oct41110163254
912428824346
104448118444
111982935250
12a417ba750
1355b70cb63
14302a825c0
151b0791049
hex10920e6ac

4448118444 has 96 divisors (see below), whose sum is σ = 12954181632. Its totient is φ = 1154088000.

The previous prime is 4448118431. The next prime is 4448118457.

It is a happy number.

4448118444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4448118431) and next prime (4448118457).

It is a super-2 number, since 2×44481184442 = 39571515383705962272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4448118396 and 4448118405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079949 + ... + 1084059.

It is an arithmetic number, because the mean of its divisors is an integer number (134939392).

Almost surely, 24448118444 is an apocalyptic number.

4448118444 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 4448118444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477090816).

4448118444 is an abundant number, since it is smaller than the sum of its proper divisors (8506063188).

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

4448118444 is a wasteful number, since it uses less digits than its factorization.

4448118444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5305 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 4448118444 is about 66694.2159711020. The cubic root of 4448118444 is about 1644.5943012115.

The spelling of 4448118444 in words is "four billion, four hundred forty-eight million, one hundred eighteen thousand, four hundred forty-four".