Search a number
-
+
13347305140 = 22513234121929
BaseRepresentation
bin11000110111000111…
…11011011010110100
31021110012022100112211
430123203323122310
5204313402231030
610044235023204
7651521136031
oct143343733264
937405270484
1013347305140
11572a2299a4
122705b9ab04
1313493233c0
14908934388
15531ba712a
hex31b8fb6b4

13347305140 has 48 divisors (see below), whose sum is σ = 30199715280. Its totient is φ = 4925905920.

The previous prime is 13347305131. The next prime is 13347305143. The reversal of 13347305140 is 4150374331.

It can be written as a sum of positive squares in 8 ways, for example, as 382750096 + 12964555044 = 19564^2 + 113862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13347305143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597696 + ... + 619624.

It is an arithmetic number, because the mean of its divisors is an integer number (629160735).

Almost surely, 213347305140 is an apocalyptic number.

13347305140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13347305140 is an abundant number, since it is smaller than the sum of its proper divisors (16852410140).

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

13347305140 is a wasteful number, since it uses less digits than its factorization.

13347305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24292 (or 24290 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 13347305140 its reverse (4150374331), we get a palindrome (17497679471).

The spelling of 13347305140 in words is "thirteen billion, three hundred forty-seven million, three hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2341 4682 9364 11705 21929 23410 30433 43858 46820 60866 87716 109645 121732 152165 219290 285077 304330 438580 570154 608660 1140308 1425385 2850770 5701540 51335789 102671578 205343156 256678945 513357890 667365257 1026715780 1334730514 2669461028 3336826285 6673652570 13347305140