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12422440040 = 235310561001
BaseRepresentation
bin10111001000110111…
…10110010001101000
31012001202000100010212
423210123312101220
5200420121040130
65412400000252
7616560666233
oct134433662150
935052010125
1012422440040
1152a516407a
1224a8300088
13122c83204a
1485bb8441a
154ca8b7e95
hex2e46f6468

12422440040 has 16 divisors (see below), whose sum is σ = 27950490180. Its totient is φ = 4968976000.

The previous prime is 12422440031. The next prime is 12422440061. The reversal of 12422440040 is 4004422421.

12422440040 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 2 ways, for example, as 12103960324 + 318479716 = 110018^2 + 17846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12422439988 and 12422440015.

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 3 ways as a sum of consecutive naturals, for example, 155280461 + ... + 155280540.

Almost surely, 212422440040 is an apocalyptic number.

12422440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422440040 is an abundant number, since it is smaller than the sum of its proper divisors (15528050140).

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

12422440040 is a wasteful number, since it uses less digits than its factorization.

12422440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310561012 (or 310561008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 12422440040 its reverse (4004422421), we get a palindrome (16426862461).

The spelling of 12422440040 in words is "twelve billion, four hundred twenty-two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 310561001 621122002 1242244004 1552805005 2484488008 3105610010 6211220020 12422440040