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4001440993 = 11976535743
BaseRepresentation
bin1110111010000001…
…0010010011100001
3101022212102021010021
43232200102103201
531143332102433
61501020433441
7201105454504
oct35640222341
911285367107
104001440993
111773788930
129380a8881
134ba007584
1429d60b13b
1518645c22d
hexee8124e1

4001440993 has 16 divisors (see below), whose sum is σ = 4417733376. Its totient is φ = 3594032640.

The previous prime is 4001440969. The next prime is 4001440999. The reversal of 4001440993 is 3990441004.

4001440993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4001440993 - 221 = 3999343841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4001440999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693880 + ... + 699622.

It is an arithmetic number, because the mean of its divisors is an integer number (276108336).

Almost surely, 24001440993 is an apocalyptic number.

It is an amenable number.

4001440993 is a deficient number, since it is larger than the sum of its proper divisors (416292383).

4001440993 is a wasteful number, since it uses less digits than its factorization.

4001440993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4001440993 is about 63256.9442274917. The cubic root of 4001440993 is about 1587.5916485663.

Adding to 4001440993 its reverse (3990441004), we get a palindrome (7991881997).

The spelling of 4001440993 in words is "four billion, one million, four hundred forty thousand, nine hundred ninety-three".

Divisors: 1 11 97 653 1067 5743 7183 63173 63341 557071 696751 3750179 6127781 41251969 363767363 4001440993