Search a number
-
+
12341631200 = 255237416947
BaseRepresentation
bin10110111111001111…
…00101100011100000
31011212002221211020212
423133213211203200
5200233424144300
65400351553252
7614560064033
oct133747454340
934762854225
1012341631200
115263590208
12248522b828
131218b7a772
1485114b01a
154c3754935
hex2df9e58e0

12341631200 has 72 divisors (see below), whose sum is σ = 30943378872. Its totient is φ = 4803217920.

The previous prime is 12341631199. The next prime is 12341631221. The reversal of 12341631200 is 213614321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178874 + ... + 238073.

It is an arithmetic number, because the mean of its divisors is an integer number (429769151).

Almost surely, 212341631200 is an apocalyptic number.

12341631200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341631200 is an abundant number, since it is smaller than the sum of its proper divisors (18601747672).

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

12341631200 is a wasteful number, since it uses less digits than its factorization.

12341631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417004 (or 416991 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 12341631200 in words is "twelve billion, three hundred forty-one million, six hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5920 7400 14800 29600 416947 833894 1667788 2084735 3335576 4169470 6671152 8338940 10423675 13342304 15427039 16677880 20847350 30854078 33355760 41694700 61708156 66711520 77135195 83389400 123416312 154270390 166778800 246832624 308540780 333557600 385675975 493665248 617081560 771351950 1234163120 1542703900 2468326240 3085407800 6170815600 12341631200