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23242124434140 = 2232519116319333023
BaseRepresentation
bin1010100100011011110101…
…00100100001101011011100
310001021220222121120102212200
411102031322210201223130
511021244332323343030
6121233141244331500
74616121340015233
oct522157244415334
9101256877512780
1023242124434140
117450a2535a847
122734590543b90
13cc7952379981
145a4cd3a0db1a
152a48aacc7d60
hex15237a921adc

23242124434140 has 288 divisors, whose sum is σ = 74338513966080. Its totient is φ = 5861671183872.

The previous prime is 23242124434129. The next prime is 23242124434147. The reversal of 23242124434140 is 4143442124232.

23242124434140 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 212 + 4 + 434 + 1 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23242124434095 and 23242124434104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23242124434147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7688428669 + ... + 7688431691.

It is an arithmetic number, because the mean of its divisors is an integer number (258119840160).

Almost surely, 223242124434140 is an apocalyptic number.

23242124434140 is a gapful number since it is divisible by the number (20) 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 23242124434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169256983040).

23242124434140 is an abundant number, since it is smaller than the sum of its proper divisors (51096389531940).

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

23242124434140 is a wasteful number, since it uses less digits than its factorization.

23242124434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23242124434140 its reverse (4143442124232), we get a palindrome (27385566558372).

The spelling of 23242124434140 in words is "twenty-three trillion, two hundred forty-two billion, one hundred twenty-four million, four hundred thirty-four thousand, one hundred forty".