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14200132141 = 1329260914437
BaseRepresentation
bin11010011100110010…
…01101001000101101
31100122122001110021001
431032121031020231
5213040213212031
610305022040301
71011615063106
oct151631151055
940578043231
1014200132141
1160276714a8
122903719091
131453c11370
14989cd13ad
155819b6861
hex34e64d22d

14200132141 has 16 divisors (see below), whose sum is σ = 15826935600. Its totient is φ = 12650093568.

The previous prime is 14200132103. The next prime is 14200132151. The reversal of 14200132141 is 14123100241.

14200132141 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 8 ways, for example, as 521894025 + 13678238116 = 22845^2 + 116954^2 .

It is a cyclic number.

It is not a de Polignac number, because 14200132141 - 211 = 14200130093 is a prime.

It is a super-2 number, since 2×142001321412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200132151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 976375 + ... + 990811.

It is an arithmetic number, because the mean of its divisors is an integer number (989183475).

Almost surely, 214200132141 is an apocalyptic number.

It is an amenable number.

14200132141 is a deficient number, since it is larger than the sum of its proper divisors (1626803459).

14200132141 is a wasteful number, since it uses less digits than its factorization.

14200132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17088.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14200132141 its reverse (14123100241), we get a palindrome (28323232382).

The spelling of 14200132141 in words is "fourteen billion, two hundred million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 13 29 377 2609 14437 33917 75661 187681 418673 983593 5442749 37666133 489659729 1092317857 14200132141