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4014422320 = 24550180279
BaseRepresentation
bin1110111101000111…
…0011100100110000
3101100202211210011011
43233101303210300
531210143003240
61502203000304
7201324012106
oct35721634460
911322753134
104014422320
1117800449a7
12940509094
134bc90112c
142a1229c76
151876736ea
hexef473930

4014422320 has 20 divisors (see below), whose sum is σ = 9333532080. Its totient is φ = 1605768896.

The previous prime is 4014422311. The next prime is 4014422339. The reversal of 4014422320 is 232244104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×40144223203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4014422291 and 4014422300.

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, 25090060 + ... + 25090219.

It is an arithmetic number, because the mean of its divisors is an integer number (466676604).

Almost surely, 24014422320 is an apocalyptic number.

4014422320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014422320 is an abundant number, since it is smaller than the sum of its proper divisors (5319109760).

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

4014422320 is a wasteful number, since it uses less digits than its factorization.

4014422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50180292 (or 50180286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4014422320 is about 63359.4690634320. The cubic root of 4014422320 is about 1589.3065974293.

Adding to 4014422320 its reverse (232244104), we get a palindrome (4246666424).

The spelling of 4014422320 in words is "four billion, fourteen million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 50180279 100360558 200721116 250901395 401442232 501802790 802884464 1003605580 2007211160 4014422320