Search a number
-
+
12240043432110 = 23451317503135937
BaseRepresentation
bin1011001000011101101101…
…1100001101100010101110
31121100010200200010220110000
42302013123130031202232
53101020102104311420
642010555345525130
72402212454351364
oct262073334154256
947303620126400
1012240043432110
113999a7846924a
1214582519437a6
136aa300a8a090
143045c7d35634
151635d1aaa690
hexb21db70d8ae

12240043432110 has 320 divisors, whose sum is σ = 37603635011712. Its totient is φ = 2830043971584.

The previous prime is 12240043432079. The next prime is 12240043432139. The reversal of 12240043432110 is 1123434004221.

12240043432110 is a `hidden beast` number, since 1 + 2 + 2 + 400 + 4 + 3 + 43 + 211 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89974062 + ... + 90109998.

Almost surely, 212240043432110 is an apocalyptic number.

12240043432110 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 12240043432110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801817505856).

12240043432110 is an abundant number, since it is smaller than the sum of its proper divisors (25363591579602).

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

12240043432110 is a wasteful number, since it uses less digits than its factorization.

12240043432110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136489 (or 136480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12240043432110 its reverse (1123434004221), we get a palindrome (13363477436331).

The spelling of 12240043432110 in words is "twelve trillion, two hundred forty billion, forty-three million, four hundred thirty-two thousand, one hundred ten".