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134042022000 = 243253231991627
BaseRepresentation
bin111110011010110000…
…1101111000001110000
3110210222121201020102100
41330311201233001300
54144004224201000
6141324505420400
712453454250025
oct1746541570160
9423877636370
10134042022000
1151935255087
1221b8a49a700
13c84241a223
1466b823b54c
153747b39a00
hex1f3586f070

134042022000 has 480 divisors, whose sum is σ = 491275699200. Its totient is φ = 33997708800.

The previous prime is 134042021999. The next prime is 134042022001. The reversal of 134042022000 is 220240431.

134042022000 is a `hidden beast` number, since 1 + 3 + 40 + 420 + 2 + 200 + 0 = 666.

134042022000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134042021999) and next prime (134042022001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134042022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82385187 + ... + 82386813.

It is an arithmetic number, because the mean of its divisors is an integer number (1023491040).

Almost surely, 2134042022000 is an apocalyptic number.

134042022000 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 134042022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245637849600).

134042022000 is an abundant number, since it is smaller than the sum of its proper divisors (357233677200).

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

134042022000 is a wasteful number, since it uses less digits than its factorization.

134042022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1859 counting only the distinct ones).

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

Adding to 134042022000 its reverse (220240431), we get a palindrome (134262262431).

The spelling of 134042022000 in words is "one hundred thirty-four billion, forty-two million, twenty-two thousand".