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14431023440241 = 371311518941983
BaseRepresentation
bin1101000111111111110000…
…0001101010000101110001
31220002120222211120101012120
43101333330001222011301
53342414214000041431
650405304243144453
73016415133216162
oct321777401520561
956076884511176
1014431023440241
1146641875748a1
1217509b4675129
13808abb9b0805
1437c672969769
151a05b61d2196
hexd1ffc06a171

14431023440241 has 32 divisors (see below), whose sum is σ = 19579349237760. Its totient is φ = 9452633534400.

The previous prime is 14431023440191. The next prime is 14431023440293. The reversal of 14431023440241 is 14204432013441.

It is a happy number.

It is not a de Polignac number, because 14431023440241 - 235 = 14396663701873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14431023420241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343713936 + ... + 343755918.

It is an arithmetic number, because the mean of its divisors is an integer number (611854663680).

Almost surely, 214431023440241 is an apocalyptic number.

It is an amenable number.

14431023440241 is a deficient number, since it is larger than the sum of its proper divisors (5148325797519).

14431023440241 is a wasteful number, since it uses less digits than its factorization.

14431023440241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47557.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14431023440241 its reverse (14204432013441), we get a palindrome (28635455453682).

The spelling of 14431023440241 in words is "fourteen trillion, four hundred thirty-one billion, twenty-three million, four hundred forty thousand, two hundred forty-one".

Divisors: 1 3 71 213 311 933 5189 15567 22081 41983 66243 125949 368419 1105257 1613779 2980793 4841337 8942379 13056713 39170139 114578309 217849787 343734927 653549361 927026623 2781079869 15467334877 46402004631 67751283757 203253851271 4810341146747 14431023440241