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14425124340 = 22351160736007
BaseRepresentation
bin11010110111100110…
…11110110111110100
31101020022102020112110
431123303132313310
5214020312434330
610343220251020
71020316351044
oct153363366764
941208366473
1014425124340
116132674470
122966b40a70
13148b709143
149abb3b724
1559660adb0
hex35bcdedf4

14425124340 has 96 divisors (see below), whose sum is σ = 44136013824. Its totient is φ = 3491141760.

The previous prime is 14425124327. The next prime is 14425124381. The reversal of 14425124340 is 4342152441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14425124298 and 14425124307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382617 + ... + 418623.

It is an arithmetic number, because the mean of its divisors is an integer number (459750144).

Almost surely, 214425124340 is an apocalyptic number.

14425124340 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 14425124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22068006912).

14425124340 is an abundant number, since it is smaller than the sum of its proper divisors (29710889484).

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

14425124340 is a wasteful number, since it uses less digits than its factorization.

14425124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36637 (or 36635 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14425124340 its reverse (4342152441), we get a palindrome (18767276781).

The spelling of 14425124340 in words is "fourteen billion, four hundred twenty-five million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 607 660 1214 1821 2428 3035 3642 6070 6677 7284 9105 12140 13354 18210 20031 26708 33385 36007 36420 40062 66770 72014 80124 100155 108021 133540 144028 180035 200310 216042 360070 396077 400620 432084 540105 720140 792154 1080210 1188231 1584308 1980385 2160420 2376462 3960770 4752924 5941155 7921540 11882310 21856249 23764620 43712498 65568747 87424996 109281245 131137494 218562490 240418739 262274988 327843735 437124980 480837478 655687470 721256217 961674956 1202093695 1311374940 1442512434 2404187390 2885024868 3606281085 4808374780 7212562170 14425124340