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14132444423141 = 1119914474461727
BaseRepresentation
bin1100110110100111011101…
…0101000110001111100101
31212001001022100110202112202
43031221313111012033211
53323021221233020031
650020204430424245
72656015101361022
oct315516725061745
955031270422482
1014132444423141
114559599499030
121702b67062085
137b68b73992b5
1436c02a43c549
1519793d6602cb
hexcda775463e5

14132444423141 has 16 divisors (see below), whose sum is σ = 15505397145600. Its totient is φ = 12774278476080.

The previous prime is 14132444423131. The next prime is 14132444423177.

14132444423141 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14132444423141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14132444423095 and 14132444423104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132444423131) 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, 936620 + ... + 5398346.

It is an arithmetic number, because the mean of its divisors is an integer number (969087321600).

Almost surely, 214132444423141 is an apocalyptic number.

14132444423141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14132444423141 is a deficient number, since it is larger than the sum of its proper divisors (1372952722459).

14132444423141 is a wasteful number, since it uses less digits than its factorization.

14132444423141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463384.

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

It can be divided in two parts, 1413244 and 4423141, that added together give a palindrome (5836385).

The spelling of 14132444423141 in words is "fourteen trillion, one hundred thirty-two billion, four hundred forty-four million, four hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 11 199 1447 2189 15917 287953 3167483 4461727 49078997 887883673 6456118969 9766720403 71017308659 1284767674831 14132444423141