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6143124480 = 210354371131
BaseRepresentation
bin1011011100010100…
…01010010000000000
3120212010101001112220
411232022022100000
5100040114440410
62453324251040
7305142460623
oct55612122000
916763331486
106143124480
1126726a7389
1212353a0a80
1376b92b2cc
14423c27dba
1525e4aa070
hex16e28a400

6143124480 has 352 divisors, whose sum is σ = 20544150528. Its totient is φ = 1565491200.

The previous prime is 6143124469. The next prime is 6143124497. The reversal of 6143124480 is 844213416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46894015 + ... + 46894145.

It is an arithmetic number, because the mean of its divisors is an integer number (58364064).

Almost surely, 26143124480 is an apocalyptic number.

6143124480 is a gapful number since it is divisible by the number (60) 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 6143124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272075264).

6143124480 is an abundant number, since it is smaller than the sum of its proper divisors (14401026048).

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

6143124480 is a wasteful number, since it uses less digits than its factorization.

6143124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6143124480 is about 78378.0867334742. The cubic root of 6143124480 is about 1831.4557856702.

Adding to 6143124480 its reverse (844213416), we get a palindrome (6987337896).

The spelling of 6143124480 in words is "six billion, one hundred forty-three million, one hundred twenty-four thousand, four hundred eighty".