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14240013320 = 2351327384641
BaseRepresentation
bin11010100001100010…
…10101110000001000
31100202102002121221202
431100301111300020
5213130420411240
610313004523332
71012611054551
oct152061256010
940672077852
1014240013320
116048130855
122914b50548
13145c265ab0
14991313328
15585243315
hex350c55c08

14240013320 has 32 divisors (see below), whose sum is σ = 34504648920. Its totient is φ = 5257850880.

The previous prime is 14240013283. The next prime is 14240013323. The reversal of 14240013320 is 2331004241.

It can be written as a sum of positive squares in 4 ways, for example, as 9522246724 + 4717766596 = 97582^2 + 68686^2 .

It is a super-4 number, since 4×142400133204 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14240013292 and 14240013301.

It is not an unprimeable number, because it can be changed into a prime (14240013323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13691801 + ... + 13692840.

Almost surely, 214240013320 is an apocalyptic number.

14240013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240013320 is an abundant number, since it is smaller than the sum of its proper divisors (20264635600).

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

14240013320 is a wasteful number, since it uses less digits than its factorization.

14240013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27384665 (or 27384661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14240013320 its reverse (2331004241), we get a palindrome (16571017561).

The spelling of 14240013320 in words is "fourteen billion, two hundred forty million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 27384641 54769282 109538564 136923205 219077128 273846410 356000333 547692820 712000666 1095385640 1424001332 1780001665 2848002664 3560003330 7120006660 14240013320