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1143090000 = 24325413977
BaseRepresentation
bin100010000100010…
…0010101101010000
32221122220222200200
41010020202231100
54320112340000
6305232215200
740220050623
oct10410425520
92848828620
101143090000
11537276488
1227a99a500
13152a89b20
14abb57dba
156a548500
hex44222b50

1143090000 has 300 divisors, whose sum is σ = 4309461156. Its totient is φ = 281088000.

The previous prime is 1143089977. The next prime is 1143090017. The reversal of 1143090000 is 903411.

It can be written as a sum of positive squares in 10 ways, for example, as 809516304 + 333573696 = 28452^2 + 18264^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169512 + ... + 1170488.

Almost surely, 21143090000 is an apocalyptic number.

1143090000 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 1143090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154730578).

1143090000 is an abundant number, since it is smaller than the sum of its proper divisors (3166371156).

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

1143090000 is a wasteful number, since it uses less digits than its factorization.

1143090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1143090000 is about 33809.6140173176. The cubic root of 1143090000 is about 1045.5869202834.

Adding to 1143090000 its reverse (903411), we get a palindrome (1143993411).

The spelling of 1143090000 in words is "one billion, one hundred forty-three million, ninety thousand".