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14406216680 = 235360155417
BaseRepresentation
bin11010110101010110…
…10110101111101000
31101011222211122002202
431122223112233220
5214000442413210
610341303115332
71016666551502
oct153253265750
941158748082
1014406216680
116122a2a8a9
122960742b48
131487818c8b
149a9418d72
15594b239a5
hex35aad6be8

14406216680 has 16 divisors (see below), whose sum is σ = 32413987620. Its totient is φ = 5762486656.

The previous prime is 14406216661. The next prime is 14406216683. The reversal of 14406216680 is 8661260441.

It can be written as a sum of positive squares in 2 ways, for example, as 13001016484 + 1405200196 = 114022^2 + 37486^2 .

It is a super-2 number, since 2×144062166802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14406216683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180077669 + ... + 180077748.

Almost surely, 214406216680 is an apocalyptic number.

14406216680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14406216680 is an abundant number, since it is smaller than the sum of its proper divisors (18007770940).

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

14406216680 is a wasteful number, since it uses less digits than its factorization.

14406216680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360155428 (or 360155424 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 14406216680 in words is "fourteen billion, four hundred six million, two hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 360155417 720310834 1440621668 1800777085 2881243336 3601554170 7203108340 14406216680