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14013124401424 = 242949336122177
BaseRepresentation
bin1100101111101010111101…
…0011010101100100010000
31211121122022201210121220011
43023322233103111210100
53314042334321321144
645445312424324304
72644262200050421
oct313725723254420
954548281717804
1014013124401424
114512a29448735
1216a3a07013694
137a8580031055
1436634b53b648
151947a8224a34
hexcbeaf4d5910

14013124401424 has 40 divisors (see below), whose sum is σ = 28092348414360. Its totient is φ = 6763584135168.

The previous prime is 14013124401407. The next prime is 14013124401457. The reversal of 14013124401424 is 42410442131041.

It can be written as a sum of positive squares in 4 ways, for example, as 1521847911424 + 12491276490000 = 1233632^2 + 3534300^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 772177 + ... + 5350000.

It is an arithmetic number, because the mean of its divisors is an integer number (702308710359).

Almost surely, 214013124401424 is an apocalyptic number.

It is an amenable number.

14013124401424 is an abundant number, since it is smaller than the sum of its proper divisors (14079224012936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14013124401424 is a wasteful number, since it uses less digits than its factorization.

14013124401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127147 (or 6127141 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 14013124401424 its reverse (42410442131041), we get a palindrome (56423566532465).

The spelling of 14013124401424 in words is "fourteen trillion, thirteen billion, one hundred twenty-four million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 4933 9866 19732 39464 78928 143057 286114 572228 1144456 2288912 6122177 12244354 24488708 48977416 97954832 177543133 355086266 710172532 1420345064 2840690128 30200699141 60401398282 120802796564 241605593128 483211186256 875820275089 1751640550178 3503281100356 7006562200712 14013124401424