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3141231840 = 2537547191
BaseRepresentation
bin1011101100111011…
…0110010011100000
322002220210010000000
42323032312103200
522413123404330
61235411300000
7140562013215
oct27316662340
98086703000
103141231840
111372163a7a
12737baa600
133b0a33486
1421b28bb0c
15135b90560
hexbb3b64e0

3141231840 has 384 divisors, whose sum is σ = 11426365440. Its totient is φ = 815546880.

The previous prime is 3141231833. The next prime is 3141231853. The reversal of 3141231840 is 481321413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16446145 + ... + 16446335.

It is an arithmetic number, because the mean of its divisors is an integer number (29756160).

Almost surely, 23141231840 is an apocalyptic number.

3141231840 is a gapful number since it is divisible by the number (30) 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 3141231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713182720).

3141231840 is an abundant number, since it is smaller than the sum of its proper divisors (8285133600).

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

3141231840 is an equidigital number, since it uses as much as digits as its factorization.

3141231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3141231840 is about 56046.6933904222. The cubic root of 3141231840 is about 1464.5358156953.

The spelling of 3141231840 in words is "three billion, one hundred forty-one million, two hundred thirty-one thousand, eight hundred forty".