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3142545120 = 2533511135087
BaseRepresentation
bin1011101101001111…
…0110111011100000
322010000020211111000
42323103312323200
522413442420440
61235455352000
7140606123061
oct27323667340
98100224430
103142545120
111372980730
12738522600
133b10a3170
1421b510568
15135d4e730
hexbb4f6ee0

3142545120 has 384 divisors, whose sum is σ = 12924334080. Its totient is φ = 703088640.

The previous prime is 3142545061. The next prime is 3142545121. The reversal of 3142545120 is 215452413.

3142545120 is a `hidden beast` number, since 3 + 142 + 5 + 4 + 512 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142545121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 615217 + ... + 620303.

It is an arithmetic number, because the mean of its divisors is an integer number (33657120).

Almost surely, 23142545120 is an apocalyptic number.

3142545120 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 3142545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462167040).

3142545120 is an abundant number, since it is smaller than the sum of its proper divisors (9781788960).

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

3142545120 is a wasteful number, since it uses less digits than its factorization.

3142545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3142545120 is about 56058.4081115402. The cubic root of 3142545120 is about 1464.7398840057.

Adding to 3142545120 its reverse (215452413), we get a palindrome (3357997533).

The spelling of 3142545120 in words is "three billion, one hundred forty-two million, five hundred forty-five thousand, one hundred twenty".