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1135024044 = 223731124353
BaseRepresentation
bin100001110100111…
…0001011110101100
32221002202012021120
41003221301132230
54311031232134
6304343300540
740061355000
oct10351613654
92832665246
101135024044
11532767400
1227814a750
131511c467b
14aaa58700
15699a3649
hex43a717ac

1135024044 has 288 divisors, whose sum is σ = 3539289600. Its totient is φ = 282522240.

The previous prime is 1135024043. The next prime is 1135024061. The reversal of 1135024044 is 4404205311.

1135024044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11350240442 = 2576559160916227872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135024043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21415522 + ... + 21415574.

It is an arithmetic number, because the mean of its divisors is an integer number (12289200).

Almost surely, 21135024044 is an apocalyptic number.

1135024044 is a gapful number since it is divisible by the number (14) 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 1135024044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769644800).

1135024044 is an abundant number, since it is smaller than the sum of its proper divisors (2404265556).

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

1135024044 is a wasteful number, since it uses less digits than its factorization.

1135024044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1135024044 is about 33690.1178982799. The cubic root of 1135024044 is about 1043.1217971063.

Adding to 1135024044 its reverse (4404205311), we get a palindrome (5539229355).

The spelling of 1135024044 in words is "one billion, one hundred thirty-five million, twenty-four thousand, forty-four".