Search a number
-
+
12243424410 = 23257139139813
BaseRepresentation
bin10110110011100001…
…11101010010011010
31011121021011101212100
423121300331102122
5200033304040120
65342523024230
7612255250620
oct133160752232
934537141770
1012243424410
115213103a78
12245836b076
131201714239
148420a5510
154b9d06490
hex2d9c3d49a

12243424410 has 96 divisors (see below), whose sum is σ = 36642453120. Its totient is φ = 2778344064.

The previous prime is 12243424397. The next prime is 12243424433. The reversal of 12243424410 is 1442434221.

12243424410 is a `hidden beast` number, since 1 + 2 + 243 + 4 + 2 + 4 + 410 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17664 + ... + 157476.

It is an arithmetic number, because the mean of its divisors is an integer number (381692220).

Almost surely, 212243424410 is an apocalyptic number.

12243424410 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 12243424410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321226560).

12243424410 is an abundant number, since it is smaller than the sum of its proper divisors (24399028710).

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

12243424410 is a wasteful number, since it uses less digits than its factorization.

12243424410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139972 (or 139969 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12243424410 its reverse (1442434221), we get a palindrome (13685858631).

The spelling of 12243424410 in words is "twelve billion, two hundred forty-three million, four hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 139 210 278 315 417 630 695 834 973 1251 1390 1946 2085 2502 2919 4170 4865 5838 6255 8757 9730 12510 14595 17514 29190 43785 87570 139813 279626 419439 699065 838878 978691 1258317 1398130 1957382 2097195 2516634 2936073 4194390 4893455 5872146 6291585 8808219 9786910 12583170 14680365 17616438 19434007 29360730 38868014 44041095 58302021 88082190 97170035 116604042 136038049 174906063 194340070 272076098 291510105 349812126 408114147 583020210 680190245 816228294 874530315 1224342441 1360380490 1749060630 2040570735 2448684882 4081141470 6121712205 12243424410