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14123444432141 = 1119601112439749
BaseRepresentation
bin1100110110000101111011…
…1000110110110100001101
31212000012002010101211212202
43031201132320312310031
53322344303233312031
650012115405411245
72655246055615142
oct315413670666415
955005063354782
1014123444432141
1145557a0203640
121701274b69b25
137b5ab1920135
1436b81502a3c9
151975b34862cb
hexcd85ee36d0d

14123444432141 has 16 divisors (see below), whose sum is σ = 16245295080000. Its totient is φ = 12143492784000.

The previous prime is 14123444432137. The next prime is 14123444432183.

14123444432141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14123444432141 - 22 = 14123444432137 is a prime.

It is a super-2 number, since 2×141234444321412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14123444432095 and 14123444432104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123444432101) 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, 56094266 + ... + 56345483.

It is an arithmetic number, because the mean of its divisors is an integer number (1015330942500).

Almost surely, 214123444432141 is an apocalyptic number.

14123444432141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14123444432141 is a deficient number, since it is larger than the sum of its proper divisors (2121850647859).

14123444432141 is a wasteful number, since it uses less digits than its factorization.

14123444432141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112440380.

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 1412344 and 4432141, that added together give a palindrome (5844485).

The spelling of 14123444432141 in words is "fourteen trillion, one hundred twenty-three billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 11 19 209 601 6611 11419 125609 112439749 1236837239 2136355231 23499907541 67576289149 743339180639 1283949493831 14123444432141