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3144253000 = 235371947503
BaseRepresentation
bin1011101101101001…
…0111111001001000
322010010110121020211
42323122113321020
522414412044000
61240000130504
7140626465240
oct27332277110
98103417224
103144253000
1113739378a9
12739006a34
133b1550645
1421b836b20
1513608a7ba
hexbb697e48

3144253000 has 256 divisors, whose sum is σ = 9057484800. Its totient is φ = 997574400.

The previous prime is 3144252997. The next prime is 3144253001. The reversal of 3144253000 is 3524413.

It is not an unprimeable number, because it can be changed into a prime (3144253001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6250749 + ... + 6251251.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 23144253000 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 3144253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

3144253000 is an abundant number, since it is smaller than the sum of its proper divisors (5913231800).

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

3144253000 is a wasteful number, since it uses less digits than its factorization.

3144253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3144253000 is about 56073.6390829060. The cubic root of 3144253000 is about 1465.0051835016.

Adding to 3144253000 its reverse (3524413), we get a palindrome (3147777413).

The spelling of 3144253000 in words is "three billion, one hundred forty-four million, two hundred fifty-three thousand".