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142525200000 = 27355731627
BaseRepresentation
bin1000010010111100101…
…0011111011010000000
3111121212211022022221010
42010233022133122000
54313342422400000
6145250345400520
713203623132301
oct2045712373200
9447784268833
10142525200000
115549883a297
1223757499140
1310594aa5691
146c80b5c7a8
153a92778d50
hex212f29f680

142525200000 has 384 divisors, whose sum is σ = 479974904640. Its totient is φ = 37463040000.

The previous prime is 142525199983. The next prime is 142525200019. The reversal of 142525200000 is 2525241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 142525200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87599187 + ... + 87600813.

Almost surely, 2142525200000 is an apocalyptic number.

142525200000 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 142525200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239987452320).

142525200000 is an abundant number, since it is smaller than the sum of its proper divisors (337449704640).

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

142525200000 is an frugal number, since it uses more digits than its factorization.

142525200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 142525200000 its reverse (2525241), we get a palindrome (142527725241).

The spelling of 142525200000 in words is "one hundred forty-two billion, five hundred twenty-five million, two hundred thousand".