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142044431431224 = 23372172911316712983
BaseRepresentation
bin100000010011000001001011…
…111000001011011000111000
3200121221022111122122221220010
4200103001023320023120320
5122104223443421244344
61222034151055501520
741630241266522400
oct4023011370133070
9617838448587803
10142044431431224
11412947834a7a23
1213b211b48278a0
13613496a14387a
142710db6ac5800
151164d7d0478b9
hex81304be0b638

142044431431224 has 768 divisors, whose sum is σ = 459242958182400. Its totient is φ = 36331640389632.

The previous prime is 142044431431223. The next prime is 142044431431289. The reversal of 142044431431224 is 422134134440241.

It is a happy number.

It is a super-2 number, since 2×1420444314312242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142044431431223) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10940795437 + ... + 10940808419.

It is an arithmetic number, because the mean of its divisors is an integer number (597972601800).

Almost surely, 2142044431431224 is an apocalyptic number.

142044431431224 is a gapful number since it is divisible by the number (14) 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 142044431431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229621479091200).

142044431431224 is an abundant number, since it is smaller than the sum of its proper divisors (317198526751176).

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

142044431431224 is a wasteful number, since it uses less digits than its factorization.

142044431431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332 (or 13321 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 142044431431224 its reverse (422134134440241), we get a palindrome (564178565871465).

The spelling of 142044431431224 in words is "one hundred forty-two trillion, forty-four billion, four hundred thirty-one million, four hundred thirty-one thousand, two hundred twenty-four".