Search a number
-
+
13434511230 = 2335731467491
BaseRepresentation
bin11001000001100001…
…00101111101111110
31021200021101212211000
430200300211331332
5210003213324410
610101032111130
7653630314140
oct144060457576
937607355730
1013434511230
115774482148
12272b2354a6
13136140773a
14916354c90
15539680dc0
hex320c25f7e

13434511230 has 256 divisors, whose sum is σ = 42440785920. Its totient is φ = 2959286400.

The previous prime is 13434511219. The next prime is 13434511243. The reversal of 13434511230 is 3211543431.

It is a happy number.

It is a super-2 number, since 2×134345112302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13434511194 and 13434511203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27361285 + ... + 27361775.

It is an arithmetic number, because the mean of its divisors is an integer number (165784320).

Almost surely, 213434511230 is an apocalyptic number.

13434511230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434511230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21220392960).

13434511230 is an abundant number, since it is smaller than the sum of its proper divisors (29006274690).

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

13434511230 is a wasteful number, since it uses less digits than its factorization.

13434511230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13434511230 in words is "thirteen billion, four hundred thirty-four million, five hundred eleven thousand, two hundred thirty".