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140609196000 = 25345371319251
BaseRepresentation
bin1000001011110011110…
…1100000111111100000
3111102221022000020120000
42002330331200333200
54300431423233000
6144332303020000
713105266305640
oct2027475407740
9442838006500
10140609196000
11546a5253109
122330189a600
131034ab5a4c0
146b3c4ca520
1539ce459000
hex20bcf60fe0

140609196000 has 1920 divisors, whose sum is σ = 671272842240. Its totient is φ = 27993600000.

The previous prime is 140609195983. The next prime is 140609196037. The reversal of 140609196000 is 691906041.

140609196000 is a `hidden beast` number, since 1 + 40 + 6 + 0 + 9 + 1 + 9 + 600 + 0 = 666.

140609196000 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 (36).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 560195875 + ... + 560196125.

It is an arithmetic number, because the mean of its divisors is an integer number (349621272).

Almost surely, 2140609196000 is an apocalyptic number.

140609196000 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 140609196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335636421120).

140609196000 is an abundant number, since it is smaller than the sum of its proper divisors (530663646240).

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

140609196000 is a wasteful number, since it uses less digits than its factorization.

140609196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 140609196000 in words is "one hundred forty billion, six hundred nine million, one hundred ninety-six thousand".