Search a number
-
+
14044342104 = 23321327397163
BaseRepresentation
bin11010001010001101…
…11010011101011000
31100020202220111111200
431011012322131120
5212230322421404
610241334554200
71005013636542
oct150506723530
940222814450
1014044342104
115a57735101
12287b508960
13142a865c00
1497333a692
15572e91839
hex3451ba758

14044342104 has 288 divisors, whose sum is σ = 42441169680. Its totient is φ = 4192321536.

The previous prime is 14044342079. The next prime is 14044342121. The reversal of 14044342104 is 40124344041.

14044342104 is a `hidden beast` number, since 1 + 4 + 0 + 443 + 4 + 210 + 4 = 666.

14044342104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 86161527 + ... + 86161689.

Almost surely, 214044342104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14044342104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21220584840).

14044342104 is an abundant number, since it is smaller than the sum of its proper divisors (28396827576).

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

14044342104 is a wasteful number, since it uses less digits than its factorization.

14044342104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14044342104 its reverse (40124344041), we get a palindrome (54168686145).

The spelling of 14044342104 in words is "fourteen billion, forty-four million, three hundred forty-two thousand, one hundred four".