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1144000000 = 29561113
BaseRepresentation
bin100010000110000…
…0000111000000000
32221201122012222101
41010030000320000
54320331000000
6305303520144
740230560653
oct10414007000
92851565871
101144000000
11537838150
1227b159054
131530180a0
14abd1389a
156a677e6a
hex44300e00

1144000000 has 280 divisors, whose sum is σ = 3356675784. Its totient is φ = 384000000.

The previous prime is 1143999977. The next prime is 1144000001. The reversal of 1144000000 is 4411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 87999994 + ... + 88000006.

Almost surely, 21144000000 is an apocalyptic number.

1144000000 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 1144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678337892).

1144000000 is an abundant number, since it is smaller than the sum of its proper divisors (2212675784).

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

1144000000 is an frugal number, since it uses more digits than its factorization.

1144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1144000000 is about 33823.0690505755. The cubic root of 1144000000 is about 1045.8643063512.

Adding to 1144000000 its reverse (4411), we get a palindrome (1144004411).

It can be divided in two parts, 11 and 44000000, that multiplied together give a square (484000000 = 220002).

The spelling of 1144000000 in words is "one billion, one hundred forty-four million", and thus it is an aban number.