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2144323104 = 2537211291429
BaseRepresentation
bin111111111001111…
…1100011000100000
312112102220220022020
41333303330120200
513342421314404
6552440141440
7104065305600
oct17763743040
95472826266
102144323104
11a00461760
124ba167880
13282339351
14164b06c00
15c83beed9
hex7fcfc620

2144323104 has 288 divisors, whose sum is σ = 7394587200. Its totient is φ = 537384960.

The previous prime is 2144323091. The next prime is 2144323117. The reversal of 2144323104 is 4013234412.

It is an interprime number because it is at equal distance from previous prime (2144323091) and next prime (2144323117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499862 + ... + 1501290.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650).

Almost surely, 22144323104 is an apocalyptic number.

2144323104 is a gapful number since it is divisible by the number (24) 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 2144323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697293600).

2144323104 is an abundant number, since it is smaller than the sum of its proper divisors (5250264096).

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

2144323104 is a wasteful number, since it uses less digits than its factorization.

2144323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2144323104 is about 46306.8364715190. The cubic root of 2144323104 is about 1289.5259167728.

Adding to 2144323104 its reverse (4013234412), we get a palindrome (6157557516).

The spelling of 2144323104 in words is "two billion, one hundred forty-four million, three hundred twenty-three thousand, one hundred four".