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142804420200 = 2333521331211311
BaseRepresentation
bin1000010011111111001…
…1101000011001101000
3111122121021201012001000
42010333303220121220
54314430412421300
6145334202155000
713213553354331
oct2047763503150
9448537635030
10142804420200
1155621410592
1223814ab2a60
131060a8a9130
146ca9c83288
153aac030c00
hex213fce8668

142804420200 has 768 divisors, whose sum is σ = 551164723200. Its totient is φ = 33747840000.

The previous prime is 142804420141. The next prime is 142804420207. The reversal of 142804420200 is 2024408241.

142804420200 is a `hidden beast` number, since 14 + 2 + 8 + 0 + 442 + 0 + 200 = 666.

142804420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142804420207) 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, 459178045 + ... + 459178355.

It is an arithmetic number, because the mean of its divisors is an integer number (717662400).

Almost surely, 2142804420200 is an apocalyptic number.

142804420200 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 142804420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275582361600).

142804420200 is an abundant number, since it is smaller than the sum of its proper divisors (408360303000).

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

142804420200 is a wasteful number, since it uses less digits than its factorization.

142804420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 142804420200 its reverse (2024408241), we get a palindrome (144828828441).

The spelling of 142804420200 in words is "one hundred forty-two billion, eight hundred four million, four hundred twenty thousand, two hundred".