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12434377343421 = 311419190227157
BaseRepresentation
bin1011010011110001101010…
…1001010000000110111101
31122000201022010200110110210
42310330122221100012331
53112211101044442141
642240135112023033
72422232314345365
oct264743251200675
948021263613423
1012434377343421
113a64431935120
121489a47991a79
136c2731252647
1430db816c79a5
151686a78a3916
hexb4f1aa501bd

12434377343421 has 16 divisors (see below), whose sum is σ = 18527497950528. Its totient is φ = 7352181724800.

The previous prime is 12434377343411. The next prime is 12434377343467.

It is a happy number.

12434377343421 is nontrivially palindromic in base 10.

12434377343421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12434377343421 - 27 = 12434377343293 is a prime.

It is a super-2 number, since 2×124343773434212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434377343411) 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, 4595112226 + ... + 4595114931.

It is an arithmetic number, because the mean of its divisors is an integer number (1157968621908).

Almost surely, 212434377343421 is an apocalyptic number.

12434377343421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12434377343421 is a deficient number, since it is larger than the sum of its proper divisors (6093120607107).

12434377343421 is a wasteful number, since it uses less digits than its factorization.

12434377343421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190227212.

The product of its digits is 4064256, while the sum is 48.

It can be divided in two parts, 1243437 and 7343421, that added together give a palindrome (8586858).

The spelling of 12434377343421 in words is "twelve trillion, four hundred thirty-four billion, three hundred seventy-seven million, three hundred forty-three thousand, four hundred twenty-one".

Divisors: 1 3 11 33 41 123 451 1353 9190227157 27570681471 101092498727 303277496181 376799313437 1130397940311 4144792447807 12434377343421