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3130431414 = 2311210341863
BaseRepresentation
bin1011101010010110…
…1001011110110110
322002011110101121020
42322211221132312
522402342301124
61234344002010
7140401141125
oct27245513666
98064411536
103130431414
111367057500
12734460306
133ab7214a6
14219a79abc
15134c5a379
hexba9697b6

3130431414 has 48 divisors (see below), whose sum is σ = 6948754176. Its totient is φ = 939383280.

The previous prime is 3130431397. The next prime is 3130431427. The reversal of 3130431414 is 4141340313.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 53847 + ... + 95709.

It is an arithmetic number, because the mean of its divisors is an integer number (144765712).

Almost surely, 23130431414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130431414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474377088).

3130431414 is an abundant number, since it is smaller than the sum of its proper divisors (3818322762).

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

3130431414 is a wasteful number, since it uses less digits than its factorization.

3130431414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41993 (or 41982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3130431414 is about 55950.2583908243. The cubic root of 3130431414 is about 1462.8553949072.

Adding to 3130431414 its reverse (4141340313), we get a palindrome (7271771727).

The spelling of 3130431414 in words is "three billion, one hundred thirty million, four hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 2266 3399 6798 12463 24926 37389 41863 74778 83726 125589 251178 460493 920986 1381479 2762958 4311889 5065423 8623778 10130846 12935667 15196269 25871334 30392538 47430779 94861558 142292337 284584674 521738569 1043477138 1565215707 3130431414