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42021024300 = 223252791673539
BaseRepresentation
bin100111001000101001…
…011111001000101100
311000110111222012122100
4213020221133020230
51142024340234200
631145412215100
73015214545633
oct471051371054
9130414865570
1042021024300
1116903855562
12818890a490
133c689ab328
142068b7a51a
15115e14dd00
hex9c8a5f22c

42021024300 has 216 divisors, whose sum is σ = 134216409600. Its totient is φ = 10994405760.

The previous prime is 42021024281. The next prime is 42021024301. The reversal of 42021024300 is 342012024.

42021024300 is a `hidden beast` number, since 4 + 20 + 210 + 2 + 430 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42021024301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11871931 + ... + 11875469.

Almost surely, 242021024300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42021024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108204800).

42021024300 is an abundant number, since it is smaller than the sum of its proper divisors (92195385300).

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

42021024300 is a wasteful number, since it uses less digits than its factorization.

42021024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42021024300 its reverse (342012024), we get a palindrome (42363036324).

The spelling of 42021024300 in words is "forty-two billion, twenty-one million, twenty-four thousand, three hundred".