Search a number
-
+
144100111223003 = 133111171093729269
BaseRepresentation
bin100000110000111011101011…
…111100010000100011011011
3200220012211120111212022001112
4200300323223330100203123
5122341414011433114003
61230250402140010535
742231614042455055
oct4060735374204333
9626184514768045
10144100111223003
1141a07572115451
12141b3697830a4b
13625377508b7a0
1427826a83608d5
15119d5943513d8
hex830eebf108db

144100111223003 has 32 divisors (see below), whose sum is σ = 160354244144640. Its totient is φ = 128593270932480.

The previous prime is 144100111222961. The next prime is 144100111223017. The reversal of 144100111223003 is 300322111001441.

144100111223003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-144100111223003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144100111223003.

It is not an unprimeable number, because it can be changed into a prime (144100111223903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923286853 + ... + 4923316121.

It is an arithmetic number, because the mean of its divisors is an integer number (5011070129520).

Almost surely, 2144100111223003 is an apocalyptic number.

144100111223003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

144100111223003 is a deficient number, since it is larger than the sum of its proper divisors (16254132921637).

144100111223003 is a wasteful number, since it uses less digits than its factorization.

144100111223003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41367.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 144100111223003 its reverse (300322111001441), we get a palindrome (444422222224444).

The spelling of 144100111223003 in words is "one hundred forty-four trillion, one hundred billion, one hundred eleven million, two hundred twenty-three thousand, three".

Divisors: 1 13 31 403 1117 10937 14521 29269 34627 142181 339047 380497 450151 907339 4407611 11795407 12216629 32693473 158816177 320115053 378715499 425015149 1013497663 4161495689 4923301487 9923566643 13175469619 129006366359 357568514201 4648390684613 11084623940231 144100111223003