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14202424401 = 31183262473
BaseRepresentation
bin11010011101000011…
…11100110001010001
31100122210100220122120
431032201330301101
5213041310040101
610305143124453
71011643421064
oct151641746121
940583326576
1014202424401
116028997730
122904443729
131454534829
1498a32a8db
15581cbab36
hex34e87cc51

14202424401 has 24 divisors (see below), whose sum is σ = 20910297696. Its totient is φ = 8503688640.

The previous prime is 14202424391. The next prime is 14202424403. The reversal of 14202424401 is 10442420241.

14202424401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14202424401 - 27 = 14202424273 is a prime.

It is a super-2 number, since 2×142024244012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14202424403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196101 + ... + 258573.

It is an arithmetic number, because the mean of its divisors is an integer number (871262404).

Almost surely, 214202424401 is an apocalyptic number.

14202424401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14202424401 is a deficient number, since it is larger than the sum of its proper divisors (6707873295).

14202424401 is an equidigital number, since it uses as much as digits as its factorization.

14202424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62653 (or 62570 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14202424401 its reverse (10442420241), we get a palindrome (24644844642).

The spelling of 14202424401 in words is "fourteen billion, two hundred two million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 3 11 33 83 249 913 2739 6889 20667 62473 75779 187419 227337 687203 2061609 5185259 15555777 57037849 171113547 430376497 1291129491 4734141467 14202424401