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144114102223 = 7213341103317
BaseRepresentation
bin1000011000110111011…
…1101010111111001111
3111202222120002221000121
42012031313222333033
54330121202232343
6150112145205411
713261165441300
oct2061567527717
9452876087017
10144114102223
1156133721023
1223b1b630867
1310789024000
146d91ba47a7
153b36ed4aed
hex218ddeafcf

144114102223 has 96 divisors (see below), whose sum is σ = 188434995840. Its totient is φ = 109815713280.

The previous prime is 144114102221. The next prime is 144114102323. The reversal of 144114102223 is 322201411441.

It is not a de Polignac number, because 144114102223 - 21 = 144114102221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144114102221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454618461 + ... + 454618777.

It is an arithmetic number, because the mean of its divisors is an integer number (1962864540).

Almost surely, 2144114102223 is an apocalyptic number.

144114102223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

144114102223 is a deficient number, since it is larger than the sum of its proper divisors (44320893617).

144114102223 is a wasteful number, since it uses less digits than its factorization.

144114102223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 144114102223 its reverse (322201411441), we get a palindrome (466315513664).

The spelling of 144114102223 in words is "one hundred forty-four billion, one hundred fourteen million, one hundred two thousand, two hundred twenty-three".

Divisors: 1 7 13 41 49 91 103 169 287 317 533 637 721 1183 1339 2009 2197 2219 3731 4121 4223 5047 6929 8281 9373 12997 15379 15533 17407 26117 28847 29561 32651 48503 53573 54899 65611 90077 90979 107653 121849 168961 201929 206927 226291 228557 339521 375011 384293 424463 630539 636853 696449 713687 852943 1182727 1338691 1584037 1599899 2196493 2625077 2690051 2971241 4413773 4875143 4995809 5518019 8279089 9277931 9370837 11088259 15375451 17402983 20798687 28554409 34126001 34970663 38626133 64945517 65595859 71734247 107628157 121820881 199880863 226238779 270382931 454618619 502139729 852746167 1399166041 1583671453 2941104127 3514978103 11085700171 20587728889 144114102223