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142112113440 = 25351167735503
BaseRepresentation
bin1000010001011010001…
…0101100001100100000
3111120211001000100200220
42010112202230030200
54312021200112230
6145141351443040
713160446014303
oct2042642541440
9446731010626
10142112113440
11552a6646240
1223661086480
131052a33166b
146c41d4cb3a
153a6b37cd10
hex21168ac320

142112113440 has 384 divisors, whose sum is σ = 502518546432. Its totient is φ = 33466245120.

The previous prime is 142112113439. The next prime is 142112113459. The reversal of 142112113440 is 44311211241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142112113440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25821729 + ... + 25827231.

It is an arithmetic number, because the mean of its divisors is an integer number (1308642048).

Almost surely, 2142112113440 is an apocalyptic number.

142112113440 is a gapful number since it is divisible by the number (10) 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 142112113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251259273216).

142112113440 is an abundant number, since it is smaller than the sum of its proper divisors (360406432992).

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

142112113440 is a wasteful number, since it uses less digits than its factorization.

142112113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 142112113440 its reverse (44311211241), we get a palindrome (186423324681).

It can be divided in two parts, 142112 and 113440, that added together give a palindrome (255552).

The spelling of 142112113440 in words is "one hundred forty-two billion, one hundred twelve million, one hundred thirteen thousand, four hundred forty".