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4014738048 = 27310455047
BaseRepresentation
bin1110111101001100…
…0000101010000000
3101100210102211020210
43233103000222000
531210233104143
61502213434120
7201326465436
oct35723005200
911323384223
104014738048
111780240132
1294063b940
134bc9b1a59
142a12acd56
151876d7033
hexef4c0a80

4014738048 has 32 divisors (see below), whose sum is σ = 10664148960. Its totient is φ = 1338245888.

The previous prime is 4014738041. The next prime is 4014738083. The reversal of 4014738048 is 8408374104.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×40147380482 = 32236243188117700608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014737997 and 4014738015.

It is not an unprimeable number, because it can be changed into a prime (4014738041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5227140 + ... + 5227907.

It is an arithmetic number, because the mean of its divisors is an integer number (333254655).

Almost surely, 24014738048 is an apocalyptic number.

4014738048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4014738048 is an abundant number, since it is smaller than the sum of its proper divisors (6649410912).

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

4014738048 is a wasteful number, since it uses less digits than its factorization.

4014738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455064 (or 10455052 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4014738048 is about 63361.9605757271. The cubic root of 4014738048 is about 1589.3482618250.

The spelling of 4014738048 in words is "four billion, fourteen million, seven hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10455047 20910094 31365141 41820188 62730282 83640376 125460564 167280752 250921128 334561504 501842256 669123008 1003684512 1338246016 2007369024 4014738048