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4014444320 = 25525090277
BaseRepresentation
bin1110111101000111…
…1000111100100000
3101100202212220022222
43233101320330200
531210144204240
61502203250212
7201324133205
oct35721707440
911322786288
104014444320
11178005a487
12940519968
134bc90b153
142a1233cac
15187679eb5
hexef478f20

4014444320 has 24 divisors (see below), whose sum is σ = 9484125084. Its totient is φ = 1605777664.

The previous prime is 4014444307. The next prime is 4014444331. The reversal of 4014444320 is 234444104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3619706896 + 394737424 = 60164^2 + 19868^2 .

It is a super-2 number, since 2×40144443202 = 32231526396760524800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014444320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12544979 + ... + 12545298.

Almost surely, 24014444320 is an apocalyptic number.

4014444320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014444320 is an abundant number, since it is smaller than the sum of its proper divisors (5469680764).

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

4014444320 is a wasteful number, since it uses less digits than its factorization.

4014444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25090292 (or 25090284 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4014444320 is about 63359.6426757601. The cubic root of 4014444320 is about 1589.3095006849.

Adding to 4014444320 its reverse (234444104), we get a palindrome (4248888424).

The spelling of 4014444320 in words is "four billion, fourteen million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25090277 50180554 100361108 125451385 200722216 250902770 401444432 501805540 802888864 1003611080 2007222160 4014444320