Search a number
-
+
13014302240 = 255338924001
BaseRepresentation
bin11000001111011011…
…00111111000100000
31020120222201001110002
430013231213320200
5203123130132430
65551221355132
7640335513062
oct140755477040
936528631402
1013014302240
115579263995
122632568aa8
1312c533b874
148b660d732
15512829845
hex307b67e20

13014302240 has 48 divisors (see below), whose sum is σ = 30756642840. Its totient is φ = 5203968000.

The previous prime is 13014302173. The next prime is 13014302261. The reversal of 13014302240 is 4220341031.

13014302240 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 4 ways, for example, as 12041111824 + 973190416 = 109732^2 + 31196^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 530240 + ... + 554240.

Almost surely, 213014302240 is an apocalyptic number.

13014302240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014302240 is an abundant number, since it is smaller than the sum of its proper divisors (17742340600).

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

13014302240 is a wasteful number, since it uses less digits than its factorization.

13014302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27405 (or 27397 counting only the distinct ones).

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

Adding to 13014302240 its reverse (4220341031), we get a palindrome (17234643271).

The spelling of 13014302240 in words is "thirteen billion, fourteen million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3389 6778 13556 16945 24001 27112 33890 48002 54224 67780 96004 108448 120005 135560 192008 240010 271120 384016 480020 542240 768032 960040 1920080 3840160 81339389 162678778 325357556 406696945 650715112 813393890 1301430224 1626787780 2602860448 3253575560 6507151120 13014302240