Search a number
-
+
142420025420200 = 2352111031095766133
BaseRepresentation
bin100000011000011110111111…
…000001100010100110101000
3200200021012222110000111202201
4200120132333001202212220
5122131402203001421300
61222522504554305544
741666335665664333
oct4030367701424650
9620235873014681
10142420025420200
1141419aa2515a80
1213b81b564282b4
1361611c631b268
14272524776161a
15116ea11ea066a
hex8187bf0629a8

142420025420200 has 192 divisors, whose sum is σ = 368082317116800. Its totient is φ = 50815768089600.

The previous prime is 142420025420143. The next prime is 142420025420203. The reversal of 142420025420200 is 2024520024241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142420025420203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21816334 + ... + 27582466.

It is an arithmetic number, because the mean of its divisors is an integer number (1917095401650).

Almost surely, 2142420025420200 is an apocalyptic number.

142420025420200 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 142420025420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184041158558400).

142420025420200 is an abundant number, since it is smaller than the sum of its proper divisors (225662291696600).

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

142420025420200 is a wasteful number, since it uses less digits than its factorization.

142420025420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766372 (or 5766363 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 142420025420200 its reverse (2024520024241), we get a palindrome (144444545444441).

The spelling of 142420025420200 in words is "one hundred forty-two trillion, four hundred twenty billion, twenty-five million, four hundred twenty thousand, two hundred".