Search a number
-
+
13405000014 = 233735462963
BaseRepresentation
bin11000111110000000…
…00001000101001110
31021121012212120001000
430133000001011032
5204423140000024
610054055401130
7653121422460
oct143700010516
937535776030
1013405000014
115759855a0a
1227213831a6
131358274093
14912472130
15536ca1cc9
hex31f00114e

13405000014 has 32 divisors (see below), whose sum is σ = 34044445440. Its totient is φ = 3829999896.

The previous prime is 13405000003. The next prime is 13405000031. The reversal of 13405000014 is 41000050431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17731104 + ... + 17731859.

It is an arithmetic number, because the mean of its divisors is an integer number (1063888920).

Almost surely, 213405000014 is an apocalyptic number.

13405000014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13405000014 is an abundant number, since it is smaller than the sum of its proper divisors (20639445426).

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

13405000014 is a wasteful number, since it uses less digits than its factorization.

13405000014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35462981 (or 35462975 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13405000014 its reverse (41000050431), we get a palindrome (54405050445).

The spelling of 13405000014 in words is "thirteen billion, four hundred five million, fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 35462963 70925926 106388889 212777778 248240741 319166667 496481482 638333334 744722223 957500001 1489444446 1915000002 2234166669 4468333338 6702500007 13405000014