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4001330413 = 97187721977
BaseRepresentation
bin1110111001111111…
…0111010011101101
3101022212012122102201
43232133313103231
531143320033123
61501014221501
7201104514223
oct35637672355
911285178381
104001330413
111773712843
12938054891
134b9c99142
1429d5bcb13
151864395ad
hexee7f74ed

4001330413 has 8 divisors (see below), whose sum is σ = 4044919032. Its totient is φ = 3957789696.

The previous prime is 4001330393. The next prime is 4001330461. The reversal of 4001330413 is 3140331004.

It can be written as a sum of positive squares in 4 ways, for example, as 648109764 + 3353220649 = 25458^2 + 57907^2 .

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 4001330413 - 29 = 4001329901 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 (4001370413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171081 + ... + 193057.

It is an arithmetic number, because the mean of its divisors is an integer number (505614879).

Almost surely, 24001330413 is an apocalyptic number.

It is an amenable number.

4001330413 is a deficient number, since it is larger than the sum of its proper divisors (43588619).

4001330413 is a wasteful number, since it uses less digits than its factorization.

4001330413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23951.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4001330413 is about 63256.0701672179. The cubic root of 4001330413 is about 1587.5770240430.

Adding to 4001330413 its reverse (3140331004), we get a palindrome (7141661417).

The spelling of 4001330413 in words is "four billion, one million, three hundred thirty thousand, four hundred thirteen".

Divisors: 1 97 1877 21977 182069 2131769 41250829 4001330413