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6140303424 = 263231367937
BaseRepresentation
bin1011011011111110…
…11001100001000000
3120211221001201210100
411231333121201000
5100033404202144
62453144002400
7305106501153
oct55577314100
916757051710
106140303424
11267104a932
121234460400
1376b181248
144236d1c9a
1525e0ee269
hex16dfd9840

6140303424 has 168 divisors, whose sum is σ = 18236761088. Its totient is φ = 1973237760.

The previous prime is 6140303387. The next prime is 6140303461. The reversal of 6140303424 is 4243030416.

6140303424 is a `hidden beast` number, since 614 + 0 + 3 + 0 + 3 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6140303387) and next prime (6140303461).

It is a super-2 number, since 2×61403034242 = 75406652277572247552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6552684 + ... + 6553620.

Almost surely, 26140303424 is an apocalyptic number.

6140303424 is a gapful number since it is divisible by the number (64) 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 6140303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118380544).

6140303424 is an abundant number, since it is smaller than the sum of its proper divisors (12096457664).

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

6140303424 is a wasteful number, since it uses less digits than its factorization.

6140303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6140303424 is about 78360.0882082199. The cubic root of 6140303424 is about 1831.1753946721.

The spelling of 6140303424 in words is "six billion, one hundred forty million, three hundred three thousand, four hundred twenty-four".