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4103000040 = 2335293173521
BaseRepresentation
bin1111010010001110…
…1100111111101000
3101120221111222221110
43310203230333220
531400332000130
61515045310320
7203450632146
oct36443547750
911527458843
104103000040
111816044727
129661053a0
13505075899
142accc6596
1519031dab0
hexf48ecfe8

4103000040 has 256 divisors, whose sum is σ = 13349836800. Its totient is φ = 1006387200.

The previous prime is 4103000029. The next prime is 4103000053. The reversal of 4103000040 is 400003014.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7874980 + ... + 7875500.

It is an arithmetic number, because the mean of its divisors is an integer number (52147800).

Almost surely, 24103000040 is an apocalyptic number.

4103000040 is a gapful number since it is divisible by the number (40) 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 4103000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674918400).

4103000040 is an abundant number, since it is smaller than the sum of its proper divisors (9246836760).

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

4103000040 is a wasteful number, since it uses less digits than its factorization.

4103000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4103000040 is about 64054.6644671565. The cubic root of 4103000040 is about 1600.9109448055.

Adding to 4103000040 its reverse (400003014), we get a palindrome (4503003054).

The spelling of 4103000040 in words is "four billion, one hundred three million, forty", and thus it is an aban number.