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14434213220 = 2257226356003
BaseRepresentation
bin11010111000101100…
…01001110101100100
31101020221112000010122
431130112021311210
5214030124310340
610344143141112
71020456534200
oct153426116544
941227460118
1014434213220
116137812039
122969ba4798
13149056c08b
149ad025b00
15597303db5
hex35c589d64

14434213220 has 72 divisors (see below), whose sum is σ = 35395424064. Its totient is φ = 4929968064.

The previous prime is 14434213207. The next prime is 14434213237. The reversal of 14434213220 is 2231243441.

14434213220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144342132202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14434213220.

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, 229739 + ... + 285741.

It is an arithmetic number, because the mean of its divisors is an integer number (491603112).

Almost surely, 214434213220 is an apocalyptic number.

14434213220 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 14434213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697712032).

14434213220 is an abundant number, since it is smaller than the sum of its proper divisors (20961210844).

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

14434213220 is a wasteful number, since it uses less digits than its factorization.

14434213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56289 (or 56280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14434213220 its reverse (2231243441), we get a palindrome (16665456661).

The spelling of 14434213220 in words is "fourteen billion, four hundred thirty-four million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 263 490 526 980 1052 1315 1841 2630 3682 5260 7364 9205 12887 18410 25774 36820 51548 56003 64435 112006 128870 224012 257740 280015 392021 560030 784042 1120060 1568084 1960105 2744147 3920210 5488294 7840420 10976588 13720735 14728789 27441470 29457578 54882940 58915156 73643945 103101523 147287890 206203046 294575780 412406092 515507615 721710661 1031015230 1443421322 2062030460 2886842644 3608553305 7217106610 14434213220