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42023203200 = 27325211231389
BaseRepresentation
bin100111001000110001…
…110011000110000000
311000110200001220112100
4213020301303012000
51142030420000300
631145531030400
73015242222256
oct471061630600
9130420056470
1042023203200
1116905003600
12818959b400
133c69292014
1420691865d6
15115e42e700
hex9c8c73180

42023203200 has 864 divisors, whose sum is σ = 170573457600. Its totient is φ = 9833472000.

The previous prime is 42023203181. The next prime is 42023203249. The reversal of 42023203200 is 230232024.

42023203200 is a `hidden beast` number, since 4 + 20 + 2 + 320 + 320 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 108028606 + ... + 108028994.

Almost surely, 242023203200 is an apocalyptic number.

42023203200 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 42023203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85286728800).

42023203200 is an abundant number, since it is smaller than the sum of its proper divisors (128550254400).

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

42023203200 is a wasteful number, since it uses less digits than its factorization.

42023203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42023203200 its reverse (230232024), we get a palindrome (42253435224).

The spelling of 42023203200 in words is "forty-two billion, twenty-three million, two hundred three thousand, two hundred".