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4444004444 = 221110129901
BaseRepresentation
bin1000010001110001…
…00010000001011100
3102110201011211001012
410020320202001130
533100131120234
62012550234352
7215061262115
oct41070420134
912421154035
104444004444
111980585350
12a403559b8
1355a8cc439
143022d120c
151b022c0ce
hex108e2205c

4444004444 has 36 divisors (see below), whose sum is σ = 8569705704. Its totient is φ = 1999800000.

The previous prime is 4444004419. The next prime is 4444004483.

4444004444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44440044443 (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4444004444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443894 + ... + 453794.

Almost surely, 24444004444 is an apocalyptic number.

4444004444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444004444 is a deficient number, since it is larger than the sum of its proper divisors (4125701260).

4444004444 is a wasteful number, since it uses less digits than its factorization.

4444004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

The square root of 4444004444 is about 66663.3665816541. The cubic root of 4444004444 is about 1644.0871243760.

It can be divided in two parts, 444400 and 4444, that multiplied together give a square (1974913600 = 444402).

The spelling of 4444004444 in words is "four billion, four hundred forty-four million, four thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 9901 10201 19802 20402 39604 40804 108911 112211 217822 224422 435644 448844 1000001 2000002 4000004 11000011 22000022 44000044 101000101 202000202 404000404 1111001111 2222002222 4444004444