Search a number
-
+
13414234410 = 2325293508693
BaseRepresentation
bin11000111111000110…
…01111100100101010
31021121212020201020200
430133203033210222
5204433021000120
610055025333030
7653263053063
oct143743174452
937555221220
1013414234410
115763a92945
122724497176
13135a158315
1491379756a
155379c7e90
hex31f8cf92a

13414234410 has 48 divisors (see below), whose sum is σ = 34996112424. Its totient is φ = 3564913536.

The previous prime is 13414234391. The next prime is 13414234417. The reversal of 13414234410 is 1443241431.

13414234410 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 234 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12987109521 + 427124889 = 113961^2 + 20667^2 .

It is not an unprimeable number, because it can be changed into a prime (13414234417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227977 + ... + 280716.

Almost surely, 213414234410 is an apocalyptic number.

13414234410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13414234410 is an abundant number, since it is smaller than the sum of its proper divisors (21581878014).

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

13414234410 is a wasteful number, since it uses less digits than its factorization.

13414234410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508999 (or 508996 counting only the distinct ones).

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

Adding to 13414234410 its reverse (1443241431), we get a palindrome (14857475841).

The spelling of 13414234410 in words is "thirteen billion, four hundred fourteen million, two hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 26370 508693 1017386 1526079 2543465 3052158 4578237 5086930 7630395 9156474 15260790 22891185 45782370 149047049 298094098 447141147 745235245 894282294 1341423441 1490470490 2235705735 2682846882 4471411470 6707117205 13414234410