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1440000000 = 2113257
BaseRepresentation
bin101010111010100…
…1010100000000000
310201100121120122100
41111311022200000
510422120000000
6354520110400
750453540505
oct12565124000
93640546570
101440000000
1167992a34a
12342305400
1319c44530a
14d93654ac
1586646a00
hex55d4a800

1440000000 has 288 divisors, whose sum is σ = 5198717160. Its totient is φ = 384000000.

The previous prime is 1439999947. The next prime is 1440000043. The reversal of 1440000000 is 441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 868598784 + 571401216 = 29472^2 + 23904^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 23 ways as a sum of consecutive naturals, for example, 287999998 + ... + 288000002.

Almost surely, 21440000000 is an apocalyptic number.

1440000000 is a gapful number since it is divisible by the number (10) 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 1440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599358580).

1440000000 is an abundant number, since it is smaller than the sum of its proper divisors (3758717160).

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

1440000000 is an frugal number, since it uses more digits than its factorization.

1440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1440000000 is about 37947.3319220206. The cubic root of 1440000000 is about 1129.2432346572.

Adding to 1440000000 its reverse (441), we get a palindrome (1440000441).

The spelling of 1440000000 in words is "one billion, four hundred forty million", and thus it is an aban number.