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14053424340 = 22351716098563
BaseRepresentation
bin11010001011010011…
…00011110011010100
31100021101222220222210
431011221203303110
5212240134034330
610242301353420
71005154064424
oct150551436324
940241886883
1014053424340
115a6187878a
122882568870
13142c6c5b07
14974622484
15573b878b0
hex345a63cd4

14053424340 has 96 divisors (see below), whose sum is σ = 41695032960. Its totient is φ = 3524530176.

The previous prime is 14053424261. The next prime is 14053424383. The reversal of 14053424340 is 4342435041.

14053424340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14053424298 and 14053424307.

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 31 ways as a sum of consecutive naturals, for example, 1636899 + ... + 1645461.

It is an arithmetic number, because the mean of its divisors is an integer number (434323260).

Almost surely, 214053424340 is an apocalyptic number.

14053424340 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 14053424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20847516480).

14053424340 is an abundant number, since it is smaller than the sum of its proper divisors (27641608620).

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

14053424340 is a wasteful number, since it uses less digits than its factorization.

14053424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 14053424340 its reverse (4342435041), we get a palindrome (18395859381).

The spelling of 14053424340 in words is "fourteen billion, fifty-three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1609 3218 4827 6436 8045 8563 9654 16090 17126 19308 24135 25689 27353 32180 34252 42815 48270 51378 54706 82059 85630 96540 102756 109412 128445 136765 145571 164118 171260 256890 273530 291142 328236 410295 436713 513780 547060 582284 727855 820590 873426 1455710 1641180 1746852 2183565 2911420 4367130 8734260 13777867 27555734 41333601 55111468 68889335 82667202 137778670 165334404 206668005 234223739 275557340 413336010 468447478 702671217 826672020 936894956 1171118695 1405342434 2342237390 2810684868 3513356085 4684474780 7026712170 14053424340