Search a number
-
+
1142330112 = 283271147137
BaseRepresentation
bin100010000010110…
…1001001100000000
32221121111101022200
41010011221030000
54314414030422
6305204033200
740210434330
oct10405511400
92847441280
101142330112
115368a7580
1227a692800
13152881ca1
14ab9db0c0
156a4482ac
hex44169300

1142330112 has 432 divisors, whose sum is σ = 4224310272. Its totient is φ = 288276480.

The previous prime is 1142330071. The next prime is 1142330117. The reversal of 1142330112 is 2110332411.

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

It is not an unprimeable number, because it can be changed into a prime (1142330117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8338108 + ... + 8338244.

It is an arithmetic number, because the mean of its divisors is an integer number (9778496).

Almost surely, 21142330112 is an apocalyptic number.

1142330112 is a gapful number since it is divisible by the number (12) 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 1142330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112155136).

1142330112 is an abundant number, since it is smaller than the sum of its proper divisors (3081980160).

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

1142330112 is a wasteful number, since it uses less digits than its factorization.

1142330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1142330112 is about 33798.3743987784. The cubic root of 1142330112 is about 1045.3551785198.

Adding to 1142330112 its reverse (2110332411), we get a palindrome (3252662523).

The spelling of 1142330112 in words is "one billion, one hundred forty-two million, three hundred thirty thousand, one hundred twelve".