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14414023431405 = 3251324639356293
BaseRepresentation
bin1101000111000000011010…
…1111110001010011101101
31220000222010002001110011200
43101300012233301103231
53342124404444301110
650353413322040113
73015243636430203
oct321600657612355
956028102043150
1014414023431405
114657a534aa614
12174964b349039
1380730c9b63a0
1437b8dcc87073
1519ee1da076c0
hexd1c06bf14ed

14414023431405 has 24 divisors (see below), whose sum is σ = 26906177073048. Its totient is φ = 7096134612096.

The previous prime is 14414023431377. The next prime is 14414023431407. The reversal of 14414023431405 is 50413432041441.

It is a happy number.

14414023431405 is a `hidden beast` number, since 1 + 4 + 4 + 14 + 0 + 234 + 3 + 1 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1713509798121 + 12700513633284 = 1309011^2 + 3563778^2 .

It is not a de Polignac number, because 14414023431405 - 210 = 14414023430381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14414023431405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414023431407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12319677562 + ... + 12319678731.

It is an arithmetic number, because the mean of its divisors is an integer number (1121090711377).

Almost surely, 214414023431405 is an apocalyptic number.

14414023431405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14414023431405 is a deficient number, since it is larger than the sum of its proper divisors (12492153641643).

14414023431405 is a wasteful number, since it uses less digits than its factorization.

14414023431405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24639356317 (or 24639356314 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14414023431405 its reverse (50413432041441), we get a palindrome (64827455472846).

The spelling of 14414023431405 in words is "fourteen trillion, four hundred fourteen billion, twenty-three million, four hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 24639356293 73918068879 123196781465 221754206637 320311631809 369590344395 960934895427 1108771033185 1601558159045 2882804686281 4804674477135 14414023431405