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14432145204253 = 722910619572413
BaseRepresentation
bin1101001000000011111011…
…1000110110010000011101
31220002200220000100220010211
43102000332320312100131
53342424013133014003
650410011434332421
73016455004106200
oct322007670662035
956080800326124
1014432145204253
1146647027a4797
12175106828a111
13808c3a2117ba
1437c73b931937
151a062e91696d
hexd203ee3641d

14432145204253 has 24 divisors (see below), whose sum is σ = 17383695272280. Its totient is φ = 11932585902720.

The previous prime is 14432145204251. The next prime is 14432145204287. The reversal of 14432145204253 is 35240254123441.

It can be written as a sum of positive squares in 4 ways, for example, as 4343981345284 + 10088163858969 = 2084222^2 + 3176187^2 .

It is not a de Polignac number, because 14432145204253 - 21 = 14432145204251 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14432145204251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3278526 + ... + 6293887.

It is an arithmetic number, because the mean of its divisors is an integer number (724320636345).

Almost surely, 214432145204253 is an apocalyptic number.

It is an amenable number.

14432145204253 is a deficient number, since it is larger than the sum of its proper divisors (2951550068027).

14432145204253 is a wasteful number, since it uses less digits than its factorization.

14432145204253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573517 (or 9573510 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 14432145204253 its reverse (35240254123441), we get a palindrome (49672399327694).

The spelling of 14432145204253 in words is "fourteen trillion, four hundred thirty-two billion, one hundred forty-five million, two hundred four thousand, two hundred fifty-three".

Divisors: 1 7 29 49 203 1061 1421 7427 30769 51989 215383 1507681 9572413 67006891 277599977 469048237 1943199839 10156330193 13602398873 71094311351 294533575597 497660179457 2061735029179 14432145204253