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142345325200 = 245213414315527
BaseRepresentation
bin1000010010010001110…
…0010100101010010000
3111121102021211202002111
42010210130110222100
54313010400401300
6145220442155104
713166310205051
oct2044434245220
9447367752074
10142345325200
1155406252731
12237071b2a94
13105667467a0
146c64cd8728
153a81a979ba
hex2124714a90

142345325200 has 240 divisors, whose sum is σ = 386072539776. Its totient is φ = 50080665600.

The previous prime is 142345325183. The next prime is 142345325219. The reversal of 142345325200 is 2523543241.

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 47 ways as a sum of consecutive naturals, for example, 9159837 + ... + 9175363.

Almost surely, 2142345325200 is an apocalyptic number.

142345325200 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 142345325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193036269888).

142345325200 is an abundant number, since it is smaller than the sum of its proper divisors (243727214576).

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

142345325200 is a wasteful number, since it uses less digits than its factorization.

142345325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15642 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 142345325200 its reverse (2523543241), we get a palindrome (144868868441).

The spelling of 142345325200 in words is "one hundred forty-two billion, three hundred forty-five million, three hundred twenty-five thousand, two hundred".