Search a number
-
+
1040042133 = 331317174299
BaseRepresentation
bin111101111111011…
…100100010010101
32200111000121121000
4331333130202111
54112222322013
6251111413513
734526132544
oct7577344225
92614017530
101040042133
11494093059
12250384299
13137619c60
149c1b215b
1561490973
hex3dfdc895

1040042133 has 32 divisors (see below), whose sum is σ = 1756944000. Its totient is φ = 602373888.

The previous prime is 1040042123. The next prime is 1040042137. The reversal of 1040042133 is 3312400401.

It is not a de Polignac number, because 1040042133 - 210 = 1040041109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040042137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81183 + ... + 93116.

It is an arithmetic number, because the mean of its divisors is an integer number (54904500).

Almost surely, 21040042133 is an apocalyptic number.

1040042133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1040042133 is a deficient number, since it is larger than the sum of its proper divisors (716901867).

1040042133 is a wasteful number, since it uses less digits than its factorization.

1040042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174338 (or 174332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1040042133 is about 32249.6842310122. The cubic root of 1040042133 is about 1013.1730855089.

Adding to 1040042133 its reverse (3312400401), we get a palindrome (4352442534).

The spelling of 1040042133 in words is "one billion, forty million, forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 174299 522897 1568691 2265887 2963083 4706073 6797661 8889249 20392983 26667747 38520079 61178949 80003241 115560237 346680711 1040042133