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142326004530528 = 2532713191571820527
BaseRepresentation
bin100000010111000111011010…
…111100010011110101100000
3200122221020021222010102221200
4200113013122330103311200
5122123332124124434103
61222411355220321200
741656500033421350
oct4027073274236540
9618836258112850
10142326004530528
1141393135142a75
1213b67896b43200
136155391472230
142720888832b60
15116c35cb240a3
hex8171daf13d60

142326004530528 has 576 divisors, whose sum is σ = 527699119933440. Its totient is φ = 35334399799296.

The previous prime is 142326004530487. The next prime is 142326004530529. The reversal of 142326004530528 is 825035400623241.

142326004530528 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 60 + 0 + 4 + 530 + 52 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142326004530529) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 77268201 + ... + 79088727.

It is an arithmetic number, because the mean of its divisors is an integer number (916144305440).

Almost surely, 2142326004530528 is an apocalyptic number.

142326004530528 is a gapful number since it is divisible by the number (18) 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 142326004530528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263849559966720).

142326004530528 is an abundant number, since it is smaller than the sum of its proper divisors (385373115402912).

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

142326004530528 is a wasteful number, since it uses less digits than its factorization.

142326004530528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820739 (or 1820728 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 142326004530528 in words is "one hundred forty-two trillion, three hundred twenty-six billion, four million, five hundred thirty thousand, five hundred twenty-eight".