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428312131120 = 24519327740423
BaseRepresentation
bin1100011101110010110…
…01000111011000110000
31111221112210211122112201
412032321121013120300
524004140401143440
6524432555232544
742641655021226
oct6167131073060
91457483748481
10428312131120
11155712039575
126b014a48754
133150b113753
1416a323a2b16
15b21c26819a
hex63b9647630

428312131120 has 40 divisors (see below), whose sum is σ = 1000985459616. Its totient is φ = 170437152768.

The previous prime is 428312131111. The next prime is 428312131139. The reversal of 428312131120 is 21131213824.

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

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, 13854772 + ... + 13885651.

Almost surely, 2428312131120 is an apocalyptic number.

428312131120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428312131120 is an abundant number, since it is smaller than the sum of its proper divisors (572673328496).

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

428312131120 is a wasteful number, since it uses less digits than its factorization.

428312131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27740629 (or 27740623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 428312131120 its reverse (21131213824), we get a palindrome (449443344944).

The spelling of 428312131120 in words is "four hundred twenty-eight billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 27740423 55480846 110961692 138702115 221923384 277404230 443846768 554808460 1109616920 2219233840 5353901639 10707803278 21415606556 26769508195 42831213112 53539016390 85662426224 107078032780 214156065560 428312131120