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14132171250 = 23454294813
BaseRepresentation
bin11010010100101011…
…11101000111110010
31100110220011200110000
431022111331013302
5212420313440000
610254153250430
71010131321311
oct151225750762
940426150400
1014132171250
115aa227347a
1228a4a03a16
131442b07a12
14980c80278
1557aa40000
hex34a57d1f2

14132171250 has 200 divisors, whose sum is σ = 40943503260. Its totient is φ = 3637872000.

The previous prime is 14132171227. The next prime is 14132171257. The reversal of 14132171250 is 5217123141.

It can be written as a sum of positive squares in 10 ways, for example, as 280529001 + 13851642249 = 16749^2 + 117693^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14132171257) 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 99 ways as a sum of consecutive naturals, for example, 2933844 + ... + 2938656.

Almost surely, 214132171250 is an apocalyptic number.

14132171250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132171250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471751630).

14132171250 is an abundant number, since it is smaller than the sum of its proper divisors (26811332010).

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

14132171250 is an equidigital number, since it uses as much as digits as its factorization.

14132171250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 14132171250 its reverse (5217123141), we get a palindrome (19349294391).

The spelling of 14132171250 in words is "fourteen billion, one hundred thirty-two million, one hundred seventy-one thousand, two hundred fifty".