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142404204200 = 235229151277587
BaseRepresentation
bin1000010010011111110…
…0111011011010101000
3111121120101122002220012
42010213330323122220
54313120434013300
6145230344151052
713200623522666
oct2044774733250
9447511562805
10142404204200
1155436508365
1223722a68488
13105759c042b
146c6ca63c36
153a86d28435
hex2127f3b6a8

142404204200 has 192 divisors, whose sum is σ = 346609065600. Its totient is φ = 54343296000.

The previous prime is 142404204199. The next prime is 142404204203. The reversal of 142404204200 is 2402404241.

It is a super-4 number, since 4×1424042042004 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (142404204203) 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, 242596307 + ... + 242596893.

It is an arithmetic number, because the mean of its divisors is an integer number (1805255550).

Almost surely, 2142404204200 is an apocalyptic number.

142404204200 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 142404204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173304532800).

142404204200 is an abundant number, since it is smaller than the sum of its proper divisors (204204861400).

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

142404204200 is a wasteful number, since it uses less digits than its factorization.

142404204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 142404204200 its reverse (2402404241), we get a palindrome (144806608441).

The spelling of 142404204200 in words is "one hundred forty-two billion, four hundred four million, two hundred four thousand, two hundred".