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14441220324340 = 2252932464372069
BaseRepresentation
bin1101001000100101101111…
…0011101011101111110100
31220010120022110210202112121
43102021123303223233310
53343101104400334330
650414112141525324
73020225621260225
oct322113363535764
956116273722477
1014441220324340
11466853a433837
12175297b573844
13809a55403c44
1437cd5ccdd24c
151a09b14d117a
hexd225bcebbf4

14441220324340 has 24 divisors (see below), whose sum is σ = 30430066320360. Its totient is φ = 5756773150848.

The previous prime is 14441220324337. The next prime is 14441220324353. The reversal of 14441220324340 is 4342302214441.

It can be written as a sum of positive squares in 4 ways, for example, as 8221443697636 + 6219776626704 = 2867306^2 + 2493948^2 .

It is a super-2 number, since 2×144412203243402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14441220324296 and 14441220324305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232180175 + ... + 1232191894.

It is an arithmetic number, because the mean of its divisors is an integer number (1267919430015).

Almost surely, 214441220324340 is an apocalyptic number.

14441220324340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441220324340 is an abundant number, since it is smaller than the sum of its proper divisors (15988845996020).

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

14441220324340 is a wasteful number, since it uses less digits than its factorization.

14441220324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464372371 (or 2464372369 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14441220324340 its reverse (4342302214441), we get a palindrome (18783522538781).

The spelling of 14441220324340 in words is "fourteen trillion, four hundred forty-one billion, two hundred twenty million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 2464372069 4928744138 9857488276 12321860345 24643720690 49287441380 722061016217 1444122032434 2888244064868 3610305081085 7220610162170 14441220324340