Search a number
-
+
14515322140 = 22511254111087
BaseRepresentation
bin11011000010010111…
…00011110100011100
31101110121010202122201
431201023203310130
5214211410302030
610400201421244
71022463126304
oct154113436434
941417122581
1014515322140
116179580400
12299119a824
1314a42ca117
149b9ada604
1559e4c62ca
hex3612e3d1c

14515322140 has 72 divisors (see below), whose sum is σ = 33570161856. Its totient is φ = 5268067200.

The previous prime is 14515322119. The next prime is 14515322183. The reversal of 14515322140 is 4122351541.

14515322140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14515322099 and 14515322108.

It is a congruent number.

It is an unprimeable number.

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, 1303677 + ... + 1314763.

It is an arithmetic number, because the mean of its divisors is an integer number (466252248).

Almost surely, 214515322140 is an apocalyptic number.

14515322140 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 14515322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785080928).

14515322140 is an abundant number, since it is smaller than the sum of its proper divisors (19054839716).

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

14515322140 is a wasteful number, since it uses less digits than its factorization.

14515322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 14515322140 its reverse (4122351541), we get a palindrome (18637673681).

The spelling of 14515322140 in words is "fourteen billion, five hundred fifteen million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 541 605 1082 1210 2164 2420 2705 5410 5951 10820 11087 11902 22174 23804 29755 44348 55435 59510 65461 110870 119020 121957 130922 221740 243914 261844 327305 487828 609785 654610 1219570 1309220 1341527 2439140 2683054 5366108 5998067 6707635 11996134 13415270 23992268 26830540 29990335 59980670 65978737 119961340 131957474 263914948 329893685 659787370 725766107 1319574740 1451532214 2903064428 3628830535 7257661070 14515322140