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4034013821 = 41673146197
BaseRepresentation
bin1111000001110010…
…0010101001111101
3101102010201010122022
43300130202221331
531230201420241
61504142525525
7201652360145
oct36034425175
911363633568
104034013821
111790106322
12946b968a5
134c39a0636
142a3a89925
1518924354b
hexf0722a7d

4034013821 has 8 divisors (see below), whose sum is σ = 4138572984. Its totient is φ = 3929748480.

The previous prime is 4034013817. The next prime is 4034013833. The reversal of 4034013821 is 1283104304.

It can be written as a sum of positive squares in 4 ways, for example, as 25351225 + 4008662596 = 5035^2 + 63314^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4034013821 - 22 = 4034013817 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034013811) by changing a digit.

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, 45506 + ... + 100691.

It is an arithmetic number, because the mean of its divisors is an integer number (517321623).

Almost surely, 24034013821 is an apocalyptic number.

4034013821 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4034013821 is a deficient number, since it is larger than the sum of its proper divisors (104559163).

4034013821 is a wasteful number, since it uses less digits than its factorization.

4034013821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146911.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4034013821 is about 63513.8868358724. The cubic root of 4034013821 is about 1591.8878228167.

The spelling of 4034013821 in words is "four billion, thirty-four million, thirteen thousand, eight hundred twenty-one".

Divisors: 1 41 673 27593 146197 5994077 98390581 4034013821