Search a number
-
+
1143142000 = 245371113571
BaseRepresentation
bin100010000100010…
…1111011001110000
32221200000122000121
41010020233121300
54320121021000
6305233300024
740220355340
oct10410573160
92850018017
101143142000
11537301560
1227aa04614
13152aa76b0
14abb6cd20
156a558b1a
hex4422f670

1143142000 has 320 divisors, whose sum is σ = 3717762048. Its totient is φ = 328320000.

The previous prime is 1143141953. The next prime is 1143142003. The reversal of 1143142000 is 2413411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143142003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001715 + ... + 2002285.

Almost surely, 21143142000 is an apocalyptic number.

1143142000 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 1143142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858881024).

1143142000 is an abundant number, since it is smaller than the sum of its proper divisors (2574620048).

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

1143142000 is a wasteful number, since it uses less digits than its factorization.

1143142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1143142000 is about 33810.3830206048. The cubic root of 1143142000 is about 1045.6027748808.

Adding to 1143142000 its reverse (2413411), we get a palindrome (1145555411).

The spelling of 1143142000 in words is "one billion, one hundred forty-three million, one hundred forty-two thousand".