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14240242420 = 22517327115187
BaseRepresentation
bin11010100001100100…
…01101101011110100
31100202102112021012221
431100302031223310
5213131000224140
610313013452124
71012613030515
oct152062155364
940672467187
1014240242420
116048277998
122915041044
13145c316161
14991372a0c
1558528b14a
hex350c8daf4

14240242420 has 48 divisors (see below), whose sum is σ = 30190341888. Its totient is φ = 5641902720.

The previous prime is 14240242403. The next prime is 14240242427. The reversal of 14240242420 is 2424204241.

14240242420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240242427) 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 15 ways as a sum of consecutive naturals, for example, 930067 + ... + 945253.

It is an arithmetic number, because the mean of its divisors is an integer number (628965456).

Almost surely, 214240242420 is an apocalyptic number.

14240242420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240242420 is an abundant number, since it is smaller than the sum of its proper divisors (15950099468).

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

14240242420 is a wasteful number, since it uses less digits than its factorization.

14240242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15640 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 14240242420 its reverse (2424204241), we get a palindrome (16664446661).

The spelling of 14240242420 in words is "fourteen billion, two hundred forty million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 173 271 346 542 692 865 1084 1355 1730 2710 3460 5420 15187 30374 46883 60748 75935 93766 151870 187532 234415 303740 468830 937660 2627351 4115677 5254702 8231354 10509404 13136755 16462708 20578385 26273510 41156770 52547020 82313540 712012121 1424024242 2848048484 3560060605 7120121210 14240242420