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12144204432 = 243284334753
BaseRepresentation
bin10110100111101100…
…11101101010010000
31011100100110111122100
423103312131222100
5144332404020212
65325020240400
7606642014553
oct132366355220
934310414570
1012144204432
1151720a5598
12242b0a0100
1311b6cb47a9
14832c3869a
154b1257bdc
hex2d3d9da90

12144204432 has 30 divisors (see below), whose sum is σ = 33986905862. Its totient is φ = 4048068096.

The previous prime is 12144204421. The next prime is 12144204433. The reversal of 12144204432 is 23440244121.

12144204432 is a `hidden beast` number, since 1 + 21 + 4 + 4 + 204 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11619977616 + 524226816 = 107796^2 + 22896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12144204396 and 12144204405.

It is not an unprimeable number, because it can be changed into a prime (12144204433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42167233 + ... + 42167520.

Almost surely, 212144204432 is an apocalyptic number.

12144204432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12144204432 is an abundant number, since it is smaller than the sum of its proper divisors (21842701430).

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

12144204432 is a wasteful number, since it uses less digits than its factorization.

12144204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84334767 (or 84334758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12144204432 its reverse (23440244121), we get a palindrome (35584448553).

The spelling of 12144204432 in words is "twelve billion, one hundred forty-four million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84334753 168669506 253004259 337339012 506008518 674678024 759012777 1012017036 1349356048 1518025554 2024034072 3036051108 4048068144 6072102216 12144204432