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13424144130 = 2325149157157
BaseRepresentation
bin11001000000010010…
…00010111100000010
31021122112220011211100
430200021002330002
5204443040103010
610100021555230
7653443225305
oct144011027402
937575804740
1013424144130
1157696411a1
122727875b16
13135c217a67
14914c16b3c
155387d42c0
hex320242f02

13424144130 has 24 divisors (see below), whose sum is σ = 34902774972. Its totient is φ = 3579771744.

The previous prime is 13424144101. The next prime is 13424144131. The reversal of 13424144130 is 3144142431.

13424144130 is a `hidden beast` number, since 1 + 3 + 4 + 241 + 4 + 413 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13172382441 + 251761689 = 114771^2 + 15867^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13424144094 and 13424144103.

It is not an unprimeable number, because it can be changed into a prime (13424144131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74578489 + ... + 74578668.

Almost surely, 213424144130 is an apocalyptic number.

13424144130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13424144130 is an abundant number, since it is smaller than the sum of its proper divisors (21478630842).

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

13424144130 is a wasteful number, since it uses less digits than its factorization.

13424144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149157170 (or 149157167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13424144130 its reverse (3144142431), we get a palindrome (16568286561).

The spelling of 13424144130 in words is "thirteen billion, four hundred twenty-four million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149157157 298314314 447471471 745785785 894942942 1342414413 1491571570 2237357355 2684828826 4474714710 6712072065 13424144130