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142773228000 = 25325313231757
BaseRepresentation
bin1000010011110111110…
…0101001000111100000
3111122112010000110101100
42010331330221013200
54314344421244000
6145331125434400
713213024262064
oct2047574510740
9448463013340
10142773228000
1155605846407
122380656ba00
13106042a7600
146ca5a83aa4
153aa941da00
hex213df291e0

142773228000 has 864 divisors, whose sum is σ = 567124975872. Its totient is φ = 33965568000.

The previous prime is 142773227983. The next prime is 142773228007. The reversal of 142773228000 is 822377241.

142773228000 is a `hidden beast` number, since 1 + 427 + 7 + 3 + 228 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142773228007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188603622 + ... + 188604378.

It is an arithmetic number, because the mean of its divisors is an integer number (656394648).

Almost surely, 2142773228000 is an apocalyptic number.

142773228000 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 142773228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283562487936).

142773228000 is an abundant number, since it is smaller than the sum of its proper divisors (424351747872).

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

142773228000 is a wasteful number, since it uses less digits than its factorization.

142773228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 142773228000 in words is "one hundred forty-two billion, seven hundred seventy-three million, two hundred twenty-eight thousand".