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14124144340 = 22517291432469
BaseRepresentation
bin11010010011101110…
…10101011011010100
31100110100001212121001
431021313111123110
5212411240104330
610253305233044
71010003150245
oct151167253324
940410055531
1014124144340
115a98790769
1228a2192784
131441257277
1497db90ccc
15579ea69ca
hex349dd56d4

14124144340 has 48 divisors (see below), whose sum is σ = 32488419600. Its totient is φ = 5133965312.

The previous prime is 14124144337. The next prime is 14124144389. The reversal of 14124144340 is 4344142141.

14124144340 = T450 + T451 + ... + T4393.

It can be written as a sum of positive squares in 8 ways, for example, as 248004 + 14123896336 = 498^2 + 118844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14124144299 and 14124144308.

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 15 ways as a sum of consecutive naturals, for example, 706375 + ... + 726094.

It is an arithmetic number, because the mean of its divisors is an integer number (676842075).

Almost surely, 214124144340 is an apocalyptic number.

14124144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124144340 is an abundant number, since it is smaller than the sum of its proper divisors (18364275260).

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

14124144340 is a wasteful number, since it uses less digits than its factorization.

14124144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432524 (or 1432522 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14124144340 its reverse (4344142141), we get a palindrome (18468286481).

It can be divided in two parts, 141241 and 44340, that added together give a palindrome (185581).

The spelling of 14124144340 in words is "fourteen billion, one hundred twenty-four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 1432469 2864938 5729876 7162345 14324690 24351973 28649380 41541601 48703946 83083202 97407892 121759865 166166404 207708005 243519730 415416010 487039460 706207217 830832020 1412414434 2824828868 3531036085 7062072170 14124144340