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13442414020 = 2257213716749
BaseRepresentation
bin11001000010011101…
…01111010111000100
31021200211021101101221
430201032233113010
5210012224222040
610101513330124
7654054430300
oct144116572704
937624241357
1013442414020
11577898a682
122731a06944
131362c43849
14917410d00
1553a1e274a
hex3213af5c4

13442414020 has 36 divisors (see below), whose sum is σ = 32837899500. Its totient is φ = 4608827328.

The previous prime is 13442413973. The next prime is 13442414039. The reversal of 13442414020 is 2041424431.

13442414020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2660083776 + 10782330244 = 51576^2 + 103838^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6857395 + ... + 6859354.

It is an arithmetic number, because the mean of its divisors is an integer number (912163875).

Almost surely, 213442414020 is an apocalyptic number.

13442414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442414020 is an abundant number, since it is smaller than the sum of its proper divisors (19395485480).

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

13442414020 is a wasteful number, since it uses less digits than its factorization.

13442414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716772 (or 13716763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 13442414020 its reverse (2041424431), we get a palindrome (15483838451).

The spelling of 13442414020 in words is "thirteen billion, four hundred forty-two million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 13716749 27433498 54866996 68583745 96017243 137167490 192034486 274334980 384068972 480086215 672120701 960172430 1344241402 1920344860 2688482804 3360603505 6721207010 13442414020