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4000040040 = 233533333667
BaseRepresentation
bin1110111001101011…
…1100010001101000
3101022202210002101010
43232122330101220
531143002240130
61500530423520
7201060531213
oct35632742150
911282702333
104000040040
111772a11317
12937731ba0
134b99369c9
1429d36477a
151862820b0
hexee6bc468

4000040040 has 32 divisors (see below), whose sum is σ = 12000120480. Its totient is φ = 1066677312.

The previous prime is 4000040039. The next prime is 4000040053. The reversal of 4000040040 is 400400004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

4000040040 is a modest number, since divided by 40040 gives 4000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4000039998 and 4000040025.

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 7 ways as a sum of consecutive naturals, for example, 16666714 + ... + 16666953.

It is an arithmetic number, because the mean of its divisors is an integer number (375003765).

Almost surely, 24000040040 is an apocalyptic number.

4000040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000040040 is an abundant number, since it is smaller than the sum of its proper divisors (8000080440).

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

4000040040 is a wasteful number, since it uses less digits than its factorization.

4000040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333681 (or 33333677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4000040040 is about 63245.8697465692. The cubic root of 4000040040 is about 1587.4063485787.

Adding to 4000040040 its reverse (400400004), we get a palindrome (4400440044).

The spelling of 4000040040 in words is "four billion, forty thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33333667 66667334 100001001 133334668 166668335 200002002 266669336 333336670 400004004 500005005 666673340 800008008 1000010010 1333346680 2000020020 4000040040