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3142173888 = 2632723311093
BaseRepresentation
bin1011101101001001…
…1100010011000000
322002222112222020200
42323102130103000
522413344031023
61235443405200
7140603015550
oct27322342300
98088488220
103142173888
111372747827
12738383800
133b0ca31b9
1421b455160
15135cc9743
hexbb49c4c0

3142173888 has 336 divisors, whose sum is σ = 11097255936. Its totient is φ = 830269440.

The previous prime is 3142173803. The next prime is 3142173889. The reversal of 3142173888 is 8883712413.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3142173889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874270 + ... + 2875362.

Almost surely, 23142173888 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 3142173888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548627968).

3142173888 is an abundant number, since it is smaller than the sum of its proper divisors (7955082048).

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

3142173888 is a wasteful number, since it uses less digits than its factorization.

3142173888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 3142173888 is about 56055.0968958221. The cubic root of 3142173888 is about 1464.6822046716.

The spelling of 3142173888 in words is "three billion, one hundred forty-two million, one hundred seventy-three thousand, eight hundred eighty-eight".