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1150041040 = 24517218353
BaseRepresentation
bin100010010001100…
…0011101111010000
32222011000010201121
41010203003233100
54323402303130
6310041212024
740333121221
oct10443035720
92864003647
101150041040
11540193945
12281191014
13154351975
14aca47248
156ae6cd7a
hex448c3bd0

1150041040 has 40 divisors (see below), whose sum is σ = 2675719368. Its totient is φ = 459694080.

The previous prime is 1150041037. The next prime is 1150041049. The reversal of 1150041040 is 401400511.

It can be written as a sum of positive squares in 4 ways, for example, as 291316624 + 858724416 = 17068^2 + 29304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (1150041049) 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 7 ways as a sum of consecutive naturals, for example, 133504 + ... + 141856.

Almost surely, 21150041040 is an apocalyptic number.

1150041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1150041040 is an abundant number, since it is smaller than the sum of its proper divisors (1525678328).

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

1150041040 is a wasteful number, since it uses less digits than its factorization.

1150041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1150041040 is about 33912.2550120159. The cubic root of 1150041040 is about 1047.7020159739.

Adding to 1150041040 its reverse (401400511), we get a palindrome (1551441551).

The spelling of 1150041040 in words is "one billion, one hundred fifty million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1721 3442 6884 8353 8605 13768 16706 17210 27536 33412 34420 41765 66824 68840 83530 133648 137680 167060 334120 668240 14375513 28751026 57502052 71877565 115004104 143755130 230008208 287510260 575020520 1150041040