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42823404000 = 253553133389
BaseRepresentation
bin100111111000011110…
…010100100111100000
311002112102210022200000
4213320132110213200
51200200242412000
631401154100000
73044126633226
oct477036244740
9132472708600
1042823404000
1117185771283
12837157a600
134065cb5410
142103564b16
1511a97e6000
hex9f87949e0

42823404000 has 576 divisors, whose sum is σ = 169783024320. Its totient is φ = 10538035200.

The previous prime is 42823403983. The next prime is 42823404007. The reversal of 42823404000 is 40432824.

It is a happy number.

42823404000 is a `hidden beast` number, since 4 + 28 + 234 + 0 + 400 + 0 = 666.

42823404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42823404007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12634306 + ... + 12637694.

It is an arithmetic number, because the mean of its divisors is an integer number (294762195).

Almost surely, 242823404000 is an apocalyptic number.

42823404000 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 42823404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84891512160).

42823404000 is an abundant number, since it is smaller than the sum of its proper divisors (126959620320).

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

42823404000 is a wasteful number, since it uses less digits than its factorization.

42823404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3412 counting only the distinct ones).

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

Adding to 42823404000 its reverse (40432824), we get a palindrome (42863836824).

The spelling of 42823404000 in words is "forty-two billion, eight hundred twenty-three million, four hundred four thousand".