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142302331200 = 26352148719937
BaseRepresentation
bin1000010010000111100…
…0010100000101000000
3111121022021221102102010
42010201320110011000
54312413344044300
6145212304452520
713165245600111
oct2044170240500
9447267842363
10142302331200
1155393a576a7
12236b491a140
131055a872253
146c5d306208
153a7ce03a50
hex2121e14140

142302331200 has 168 divisors, whose sum is σ = 467207632512. Its totient is φ = 37919866880.

The previous prime is 142302331183. The next prime is 142302331207. The reversal of 142302331200 is 2133203241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142302331207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7127632 + ... + 7147568.

Almost surely, 2142302331200 is an apocalyptic number.

142302331200 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 142302331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233603816256).

142302331200 is an abundant number, since it is smaller than the sum of its proper divisors (324905301312).

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

142302331200 is a wasteful number, since it uses less digits than its factorization.

142302331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21449 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 142302331200 its reverse (2133203241), we get a palindrome (144435534441).

The spelling of 142302331200 in words is "one hundred forty-two billion, three hundred two million, three hundred thirty-one thousand, two hundred".