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3130440313 = 721113446759
BaseRepresentation
bin1011101010010110…
…1011101001111001
322002011110211210211
42322211223221321
522402343042223
61234344111121
7140401206100
oct27245535171
98064424724
103130440313
111367063160
127344654a1
133ab725560
14219a7d037
15134c5cd0d
hexba96ba79

3130440313 has 24 divisors (see below), whose sum is σ = 4278173760. Its totient is φ = 2251660320.

The previous prime is 3130440289. The next prime is 3130440319.

It can be divided in two parts, 31304 and 40313, that added together give a palindrome (71617).

It is a happy number.

3130440313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3130440313 - 25 = 3130440281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3130440319) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 216373 + ... + 230386.

It is an arithmetic number, because the mean of its divisors is an integer number (178257240).

Almost surely, 23130440313 is an apocalyptic number.

It is an amenable number.

3130440313 is a deficient number, since it is larger than the sum of its proper divisors (1147733447).

3130440313 is a wasteful number, since it uses less digits than its factorization.

3130440313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446797 (or 446790 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3130440313 is about 55950.3379167633. The cubic root of 3130440313 is about 1462.8567810780.

The spelling of 3130440313 in words is "three billion, one hundred thirty million, four hundred forty thousand, three hundred thirteen".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 446759 3127313 4914349 5807867 21891191 34400443 40655069 63886537 240803101 284585483 447205759 3130440313