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4444001424 = 243240737577
BaseRepresentation
bin1000010001110001…
…00001010010010000
3102110201011122220100
410020320201102100
533100131021144
62012550212400
7215061250242
oct41070412220
912421148810
104444001424
111980583055
12a40354100
1355a8cac55
143022d0092
151b022b269
hex108e21490

4444001424 has 60 divisors (see below), whose sum is σ = 12441727116. Its totient is φ = 1480774656.

The previous prime is 4444001413. The next prime is 4444001459. The reversal of 4444001424 is 4241004444.

It can be written as a sum of positive squares in 2 ways, for example, as 188787600 + 4255213824 = 13740^2 + 65232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582724 + ... + 590300.

Almost surely, 24444001424 is an apocalyptic number.

It is an amenable number.

4444001424 is an abundant number, since it is smaller than the sum of its proper divisors (7997725692).

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

4444001424 is a wasteful number, since it uses less digits than its factorization.

4444001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4444001424 is about 66663.3439305290. The cubic root of 4444001424 is about 1644.0867519533.

Adding to 4444001424 its reverse (4241004444), we get a palindrome (8685005868).

The spelling of 4444001424 in words is "four billion, four hundred forty-four million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4073 7577 8146 12219 15154 16292 22731 24438 30308 32584 36657 45462 48876 60616 65168 68193 73314 90924 97752 121232 136386 146628 181848 195504 272772 293256 363696 545544 586512 1091088 30861121 61722242 92583363 123444484 185166726 246888968 277750089 370333452 493777936 555500178 740666904 1111000356 1481333808 2222000712 4444001424