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14343354340 = 22574310512267
BaseRepresentation
bin11010101101110111…
…00011011111100100
31101000121112220011221
431112323203133210
5213333344314330
610331135510124
71015304333410
oct152673433744
941017486157
1014343354340
1160a04a4457
122943688344
1314777a9223
149a0d33d40
1558e357b7a
hex356ee37e4

14343354340 has 96 divisors (see below), whose sum is σ = 35273677824. Its totient is φ = 4796668800.

The previous prime is 14343354317. The next prime is 14343354343. The reversal of 14343354340 is 4345334341.

It is a junction number, because it is equal to n+sod(n) for n = 14343354296 and 14343354305.

It is not an unprimeable number, because it can be changed into a prime (14343354343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6325887 + ... + 6328153.

It is an arithmetic number, because the mean of its divisors is an integer number (367434144).

Almost surely, 214343354340 is an apocalyptic number.

14343354340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14343354340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17636838912).

14343354340 is an abundant number, since it is smaller than the sum of its proper divisors (20930323484).

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

14343354340 is a wasteful number, since it uses less digits than its factorization.

14343354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 14343354340 its reverse (4345334341), we get a palindrome (18688688681).

The spelling of 14343354340 in words is "fourteen billion, three hundred forty-three million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1051 1204 1505 2102 2267 3010 4204 4534 5255 6020 7357 9068 10510 11335 14714 15869 21020 22670 29428 31738 36785 45193 45340 63476 73570 79345 90386 97481 147140 158690 180772 194962 225965 316351 317380 389924 451930 487405 632702 682367 903860 974810 1265404 1364734 1581755 1949620 2382617 2729468 3163510 3411835 4765234 6327020 6823670 9530468 11913085 13647340 16678319 23826170 33356638 47652340 66713276 83391595 102452531 166783190 204905062 333566380 409810124 512262655 717167717 1024525310 1434335434 2049050620 2868670868 3585838585 7171677170 14343354340