Search a number
-
+
214132142314332 = 223311436317663569
BaseRepresentation
bin110000101100000010000110…
…010001110001001101011100
31001002011211111011122002202000
4300230002012101301031130
5211031320111413024312
62035230540445002300
763050352051064044
oct6054020621611534
91032154434562660
10214132142314332
1162257a27a17580
12200242b1253390
139263760b9c568
143ac409dca0724
1519b5105e25adc
hexc2c08647135c

214132142314332 has 192 divisors, whose sum is σ = 619809628838400. Its totient is φ = 63369363778560.

The previous prime is 214132142314283. The next prime is 214132142314393. The reversal of 214132142314332 is 233413241231412.

214132142314332 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 2 + 1 + 4 + 2 + 314 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 322365844 + ... + 323029412.

It is an arithmetic number, because the mean of its divisors is an integer number (3228175150200).

Almost surely, 2214132142314332 is an apocalyptic number.

214132142314332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214132142314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309904814419200).

214132142314332 is an abundant number, since it is smaller than the sum of its proper divisors (405677486524068).

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

214132142314332 is a wasteful number, since it uses less digits than its factorization.

214132142314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669953 (or 669945 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 214132142314332 its reverse (233413241231412), we get a palindrome (447545383545744).

The spelling of 214132142314332 in words is "two hundred fourteen trillion, one hundred thirty-two billion, one hundred forty-two million, three hundred fourteen thousand, three hundred thirty-two".