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42300422400 = 283522395789
BaseRepresentation
bin100111011001010011…
…010011100100000000
311001011222201002210010
4213121103103210000
51143112402004100
631233232504520
73025146441435
oct473123234400
9131158632703
1042300422400
1116a37538485
1282463ab140
133cb1844a52
142093d09b8c
15117893d750
hex9d94d3900

42300422400 has 216 divisors, whose sum is σ = 145671301440. Its totient is φ = 10789560320.

The previous prime is 42300422303. The next prime is 42300422407. The reversal of 42300422400 is 422400324.

It is not an unprimeable number, because it can be changed into a prime (42300422407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393706 + ... + 489494.

Almost surely, 242300422400 is an apocalyptic number.

42300422400 is a gapful number since it is divisible by the number (40) 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 42300422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72835650720).

42300422400 is an abundant number, since it is smaller than the sum of its proper divisors (103370879040).

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

42300422400 is a wasteful number, since it uses less digits than its factorization.

42300422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95841 (or 95822 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42300422400 its reverse (422400324), we get a palindrome (42722822724).

The spelling of 42300422400 in words is "forty-two billion, three hundred million, four hundred twenty-two thousand, four hundred".