Search a number
-
+
1113143040 = 28335311039
BaseRepresentation
bin100001001011001…
…0011011100000000
32212120120112012000
41002112103130000
54234431034130
6302242304000
736404362662
oct10226233400
92776515160
101113143040
11521381929
12270958000
13149803029
14a7ba0532
1567ad0260
hex42593700

1113143040 has 288 divisors, whose sum is σ = 4081459200. Its totient is φ = 286986240.

The previous prime is 1113143027. The next prime is 1113143077. The reversal of 1113143040 is 403413111.

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 (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1070841 + ... + 1071879.

Almost surely, 21113143040 is an apocalyptic number.

1113143040 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 1113143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040729600).

1113143040 is an abundant number, since it is smaller than the sum of its proper divisors (2968316160).

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

1113143040 is a wasteful number, since it uses less digits than its factorization.

1113143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1080 counting only the distinct ones).

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

The square root of 1113143040 is about 33363.7983449127. The cubic root of 1113143040 is about 1036.3751517230.

Adding to 1113143040 its reverse (403413111), we get a palindrome (1516556151).

The spelling of 1113143040 in words is "one billion, one hundred thirteen million, one hundred forty-three thousand, forty".