Search a number
-
+
13454271744 = 28317518583
BaseRepresentation
bin11001000011110111…
…11110010100000000
31021201122120211010220
430201323332110000
5210023243143434
610103015423040
7654260265024
oct144173762400
937648524126
1013454271744
115784649551
122735984a80
131365535b54
14918c1a384
1553b285d49
hex321efe500

13454271744 has 36 divisors (see below), whose sum is σ = 35807985696. Its totient is φ = 4484756992.

The previous prime is 13454271739. The next prime is 13454271749. The reversal of 13454271744 is 44717245431.

It is an interprime number because it is at equal distance from previous prime (13454271739) and next prime (13454271749).

It is a super-3 number, since 3×134542717443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13454271696 and 13454271705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13454271749) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8758524 + ... + 8760059.

Almost surely, 213454271744 is an apocalyptic number.

It is an amenable number.

13454271744 is an abundant number, since it is smaller than the sum of its proper divisors (22353713952).

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

13454271744 is an equidigital number, since it uses as much as digits as its factorization.

13454271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17518602 (or 17518588 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The spelling of 13454271744 in words is "thirteen billion, four hundred fifty-four million, two hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 17518583 35037166 52555749 70074332 105111498 140148664 210222996 280297328 420445992 560594656 840891984 1121189312 1681783968 2242378624 3363567936 4484757248 6727135872 13454271744