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3142040000 = 26541137193
BaseRepresentation
bin1011101101000111…
…1011100111000000
322002222022011120212
42323101323213000
522413330240000
61235440453252
7140601620321
oct27321734700
98088264525
103142040000
111372666180
1273831a228
133b0c57288
1421b41c448
15135c9ec35
hexbb47b9c0

3142040000 has 280 divisors, whose sum is σ = 8774478768. Its totient is φ = 1105920000.

The previous prime is 3142039991. The next prime is 3142040009. The reversal of 3142040000 is 402413.

It is an interprime number because it is at equal distance from previous prime (3142039991) and next prime (3142040009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142040009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16279904 + ... + 16280096.

Almost surely, 23142040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387239384).

3142040000 is an abundant number, since it is smaller than the sum of its proper divisors (5632438768).

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

3142040000 is a wasteful number, since it uses less digits than its factorization.

3142040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3142040000 is about 56053.9026295226. The cubic root of 3142040000 is about 1464.6614010111.

Adding to 3142040000 its reverse (402413), we get a palindrome (3142442413).

The spelling of 3142040000 in words is "three billion, one hundred forty-two million, forty thousand".