Search a number
-
+
12033432132144 = 243594249093267
BaseRepresentation
bin1010111100011100000001…
…1100101001101000110000
31120121101101120112101100220
42233013000130221220300
53034123432111212034
641332025444413040
72351246444314353
oct257070034515060
946541346471326
1012033432132144
11391a393800585
1214241b00a7180
13693994b4b0b7
142d85c7b9a29a
1515d03ceec749
hexaf1c0729a30

12033432132144 has 40 divisors (see below), whose sum is σ = 31613253913920. Its totient is φ = 3943158550848.

The previous prime is 12033432132121. The next prime is 12033432132151. The reversal of 12033432132144 is 44123123433021.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2124543802 + ... + 2124549465.

It is an arithmetic number, because the mean of its divisors is an integer number (790331347848).

Almost surely, 212033432132144 is an apocalyptic number.

It is an amenable number.

12033432132144 is an abundant number, since it is smaller than the sum of its proper divisors (19579821781776).

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

12033432132144 is a wasteful number, since it uses less digits than its factorization.

12033432132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249093337 (or 4249093331 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 12033432132144 its reverse (44123123433021), we get a palindrome (56156555565165).

The spelling of 12033432132144 in words is "twelve trillion, thirty-three billion, four hundred thirty-two million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 4249093267 8498186534 12747279801 16996373068 25494559602 33992746136 50989119204 67985492272 101978238408 203956476816 250696502753 501393005506 752089508259 1002786011012 1504179016518 2005572022024 3008358033036 4011144044048 6016716066072 12033432132144