Search a number
-
+
14149102500 = 223254132612
BaseRepresentation
bin11010010110101101…
…00010101110100100
31100112002000212202100
431023112202232210
5212434132240000
610300000212100
71010425246461
oct151326425644
940462025670
1014149102500
116000888145
1228aa60a030
131446485400
1498320a668
1557c286a00
hex34b5a2ba4

14149102500 has 405 divisors, whose sum is σ = 49201671519. Its totient is φ = 3425760000.

The previous prime is 14149102493. The next prime is 14149102519. The reversal of 14149102500 is 520194141.

The square root of 14149102500 is 118950.

It is a perfect power (a square), and thus also a powerful number.

14149102500 is a `hidden beast` number, since 1 + 4 + 149 + 10 + 2 + 500 = 666.

14149102500 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 22 ways, for example, as 1174981284 + 12974121216 = 34278^2 + 113904^2 .

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 134 ways as a sum of consecutive naturals, for example, 231952470 + ... + 231952530.

Almost surely, 214149102500 is an apocalyptic number.

14149102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14149102500 is the 118950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14149102500

14149102500 is an abundant number, since it is smaller than the sum of its proper divisors (35052569019).

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

14149102500 is a wasteful number, since it uses less digits than its factorization.

14149102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 14149102500 its reverse (520194141), we get a palindrome (14669296641).

The spelling of 14149102500 in words is "fourteen billion, one hundred forty-nine million, one hundred two thousand, five hundred".