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142140000 = 2535423103
BaseRepresentation
bin10000111100011…
…10001001100000
3100220110110102110
420132032021200
5242341440000
622034315320
73344112222
oct1036161140
9326413373
10142140000
1173263982
123b728b40
13235a9412
1414c40412
15c72a850
hex878e260

142140000 has 240 divisors, whose sum is σ = 491242752. Its totient is φ = 35904000.

The previous prime is 142139981. The next prime is 142140029. The reversal of 142140000 is 41241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1379949 + ... + 1380051.

Almost surely, 2142140000 is an apocalyptic number.

142140000 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 142140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245621376).

142140000 is an abundant number, since it is smaller than the sum of its proper divisors (349102752).

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

142140000 is a wasteful number, since it uses less digits than its factorization.

142140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142140000 is about 11922.2481101510. The cubic root of 142140000 is about 521.8817424159.

Adding to 142140000 its reverse (41241), we get a palindrome (142181241).

The spelling of 142140000 in words is "one hundred forty-two million, one hundred forty thousand".