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141626680009 = 1729287275213
BaseRepresentation
bin1000001111100110011…
…0111010001011001001
3111112120012120210012221
42003321212322023021
54310022412230014
6145021251134041
713142432626423
oct2037146721311
9445505523187
10141626680009
1155077628991
12235465a4321
13104808a9849
146bd76a9813
153a3d940b24
hex20f99ba2c9

141626680009 has 8 divisors (see below), whose sum is σ = 155128615560. Its totient is φ = 128699294976.

The previous prime is 141626680007. The next prime is 141626680021. The reversal of 141626680009 is 900086626141.

141626680009 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 4 ways, for example, as 54230765625 + 87395914384 = 232875^2 + 295628^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 141626680009 - 21 = 141626680007 is a prime.

It is a super-3 number, since 3×1416266800093 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (141626680001) by changing a digit.

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, 143637114 + ... + 143638099.

It is an arithmetic number, because the mean of its divisors is an integer number (19391076945).

Almost surely, 2141626680009 is an apocalyptic number.

It is an amenable number.

141626680009 is a deficient number, since it is larger than the sum of its proper divisors (13501935551).

141626680009 is a wasteful number, since it uses less digits than its factorization.

141626680009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287275259.

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 141626680009 in words is "one hundred forty-one billion, six hundred twenty-six million, six hundred eighty thousand, nine".

Divisors: 1 17 29 493 287275213 4883678621 8330981177 141626680009