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14101144110141 = 3113019141539383
BaseRepresentation
bin1100110100110010110110…
…1011111000010000111101
31211221001111222102010001220
43031030231223320100331
53322013120343011031
645553550504223553
72653526332166124
oct315145553702075
954831458363056
1014101144110141
114547297263660
1216b8a9076abb9
137b39697b992a
1436a6db430abb
15196c0a7d3596
hexcd32daf843d

14101144110141 has 16 divisors (see below), whose sum is σ = 20517549104640. Its totient is φ = 8543317097520.

The previous prime is 14101144110103. The next prime is 14101144110187.

14101144110141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14101144110141 - 26 = 14101144110077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101144115141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70670065 + ... + 70869318.

It is an arithmetic number, because the mean of its divisors is an integer number (1282346819040).

Almost surely, 214101144110141 is an apocalyptic number.

14101144110141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14101144110141 is a deficient number, since it is larger than the sum of its proper divisors (6416404994499).

14101144110141 is a wasteful number, since it uses less digits than its factorization.

14101144110141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141542416.

The product of its (nonzero) digits is 256, while the sum is 24.

It can be divided in two parts, 1410114 and 4110141, that added together give a palindrome (5520255).

The spelling of 14101144110141 in words is "fourteen trillion, one hundred one billion, one hundred forty-four million, one hundred ten thousand, one hundred forty-one".

Divisors: 1 3 11 33 3019 9057 33209 99627 141539383 424618149 1556933213 4670799639 427307397277 1281922191831 4700381370047 14101144110141