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3142050240 = 263572329701
BaseRepresentation
bin1011101101000111…
…1110000111000000
322002222022200122010
42323101332013000
522413331101430
61235441012520
7140601662220
oct27321760700
98088280563
103142050240
11137267293a
12738324140
133b0c5bb34
1421b422080
15135ca2cb0
hexbb47e1c0

3142050240 has 448 divisors, whose sum is σ = 12324648960. Its totient is φ = 662323200.

The previous prime is 3142050227. The next prime is 3142050257. The reversal of 3142050240 is 420502413.

3142050240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4481890 + ... + 4482590.

Almost surely, 23142050240 is an apocalyptic number.

3142050240 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 3142050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162324480).

3142050240 is an abundant number, since it is smaller than the sum of its proper divisors (9182598720).

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

3142050240 is a wasteful number, since it uses less digits than its factorization.

3142050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3142050240 is about 56053.9939700999. The cubic root of 3142050240 is about 1464.6629921341.

Adding to 3142050240 its reverse (420502413), we get a palindrome (3562552653).

The spelling of 3142050240 in words is "three billion, one hundred forty-two million, fifty thousand, two hundred forty".