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142404341400 = 233252617916417
BaseRepresentation
bin1000010010011111110…
…1011100111010011000
3111121120101220002002200
42010213331130322120
54313121002411100
6145230351130200
713200624633666
oct2044775347230
9447511802080
10142404341400
11554365a1452
1223722b13960
1310575a3aa09
146c6ca9bc36
153a86d53e00
hex2127f5ce98

142404341400 has 288 divisors, whose sum is σ = 492264177600. Its totient is φ = 36876902400.

The previous prime is 142404341389. The next prime is 142404341407. The reversal of 142404341400 is 4143404241.

142404341400 is a `hidden beast` number, since 1 + 4 + 240 + 4 + 3 + 414 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142404341407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8665992 + ... + 8682408.

Almost surely, 2142404341400 is an apocalyptic number.

142404341400 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 142404341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246132088800).

142404341400 is an abundant number, since it is smaller than the sum of its proper divisors (349859836200).

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

142404341400 is a wasteful number, since it uses less digits than its factorization.

142404341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16579 (or 16567 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142404341400 its reverse (4143404241), we get a palindrome (146547745641).

The spelling of 142404341400 in words is "one hundred forty-two billion, four hundred four million, three hundred forty-one thousand, four hundred".