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428880040040 = 23532257332393
BaseRepresentation
bin1100011110110110011…
…11100001000001101000
31112000000101110102010102
412033123033201001220
524011321242240130
6525005203404532
742662022122324
oct6173317410150
91460011412112
10428880040040
11155983668991
126b153083748
133159b98462a
1416a87994984
15b252047645
hex63db3e1068

428880040040 has 32 divisors (see below), whose sum is σ = 965012908680. Its totient is φ = 171546181632.

The previous prime is 428880040019. The next prime is 428880040081. The reversal of 428880040040 is 40040088824.

It can be written as a sum of positive squares in 4 ways, for example, as 226079328484 + 202800711556 = 475478^2 + 450334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428880039976 and 428880040003.

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, 1124084 + ... + 1456476.

Almost surely, 2428880040040 is an apocalyptic number.

428880040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428880040040 is an abundant number, since it is smaller than the sum of its proper divisors (536132868640).

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

428880040040 is a wasteful number, since it uses less digits than its factorization.

428880040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364661 (or 364657 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 428880040040 in words is "four hundred twenty-eight billion, eight hundred eighty million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 32257 64514 129028 161285 258056 322570 332393 645140 664786 1290280 1329572 1661965 2659144 3323930 6647860 13295720 10722001001 21444002002 42888004004 53610005005 85776008008 107220010010 214440020020 428880040040