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12033030440 = 2351717695633
BaseRepresentation
bin10110011010011100…
…10111100100101000
31011001121021021121002
423031032113210220
5144120423433230
65310005334132
7604122033254
oct131516274450
934047237532
1012033030440
115115371962
1223b9a07348
131199c5ac72
14822179264
154a65e7545
hex2cd397928

12033030440 has 32 divisors (see below), whose sum is σ = 28666927080. Its totient is φ = 4530081792.

The previous prime is 12033030433. The next prime is 12033030511. The reversal of 12033030440 is 4403033021.

12033030440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10384832836 + 1648197604 = 101906^2 + 40598^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8847137 + ... + 8848496.

Almost surely, 212033030440 is an apocalyptic number.

12033030440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033030440 is an abundant number, since it is smaller than the sum of its proper divisors (16633896640).

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

12033030440 is a wasteful number, since it uses less digits than its factorization.

12033030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17695661 (or 17695657 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12033030440 its reverse (4403033021), we get a palindrome (16436063461).

The spelling of 12033030440 in words is "twelve billion, thirty-three million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 17695633 35391266 70782532 88478165 141565064 176956330 300825761 353912660 601651522 707825320 1203303044 1504128805 2406606088 3008257610 6016515220 12033030440