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12331341414 = 2327467209567
BaseRepresentation
bin10110111110000000…
…10101011001100110
31011211101121001022200
423133000111121212
5200223310411124
65355343235330
7614403446460
oct133700253146
934741531280
1012331341414
1152587a2357
1224818a8b46
1312169b7032
1484da2d130
154c28c0bc9
hex2df015666

12331341414 has 48 divisors (see below), whose sum is σ = 30600281088. Its totient is φ = 3515679216.

The previous prime is 12331341359. The next prime is 12331341419. The reversal of 12331341414 is 41414313321.

12331341414 is a `hidden beast` number, since 1 + 233 + 1 + 3 + 414 + 14 = 666.

12331341414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331341419) 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 23 ways as a sum of consecutive naturals, for example, 45942 + ... + 163625.

It is an arithmetic number, because the mean of its divisors is an integer number (637505856).

Almost surely, 212331341414 is an apocalyptic number.

12331341414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12331341414 is an abundant number, since it is smaller than the sum of its proper divisors (18268939674).

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

12331341414 is a wasteful number, since it uses less digits than its factorization.

12331341414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210049 (or 210046 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12331341414 its reverse (41414313321), we get a palindrome (53745654735).

The spelling of 12331341414 in words is "twelve billion, three hundred thirty-one million, three hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 467 934 1401 2802 3269 4203 6538 8406 9807 19614 29421 58842 209567 419134 628701 1257402 1466969 1886103 2933938 3772206 4400907 8801814 13202721 26405442 97867789 195735578 293603367 587206734 685074523 880810101 1370149046 1761620202 2055223569 4110447138 6165670707 12331341414