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3141505640 = 2357213139887
BaseRepresentation
bin1011101100111111…
…1001001001101000
322002221022000120202
42323033321021220
522413211140030
61235421211332
7140564233400
oct27317711150
98087260522
103141505640
111372330759
12738100b48
133b0acaca0
1421b31d800
15135be6745
hexbb3f9268

3141505640 has 192 divisors, whose sum is σ = 8928662400. Its totient is φ = 985969152.

The previous prime is 3141505597. The next prime is 3141505643. The reversal of 3141505640 is 465051413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3141505643) 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, 3541277 + ... + 3542163.

It is an arithmetic number, because the mean of its divisors is an integer number (46503450).

Almost surely, 23141505640 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 3141505640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464331200).

3141505640 is an abundant number, since it is smaller than the sum of its proper divisors (5787156760).

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

3141505640 is a wasteful number, since it uses less digits than its factorization.

3141505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 3141505640 is about 56049.1359433845. The cubic root of 3141505640 is about 1464.5783656966.

The spelling of 3141505640 in words is "three billion, one hundred forty-one million, five hundred five thousand, six hundred forty".