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12334500556144 = 2413179331287617
BaseRepresentation
bin1011001101111101100110…
…0001100010110101110000
31121200011111112212222022021
42303133121201202311300
53104042024120244034
642122220305521224
72412065264561554
oct263373141426560
947604445788267
1012334500556144
113a2603a005618
121472613343214
136b61a5123250
14308dc8b7b864
15165cae3a66b4
hexb37d9862d70

12334500556144 has 40 divisors (see below), whose sum is σ = 25880188718160. Its totient is φ = 5661042782208.

The previous prime is 12334500556129. The next prime is 12334500556163. The reversal of 12334500556144 is 44165500543321.

It is a super-2 number, since 2×123345005561442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12334500556144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165606577 + ... + 165681040.

It is an arithmetic number, because the mean of its divisors is an integer number (647004717954).

Almost surely, 212334500556144 is an apocalyptic number.

It is an amenable number.

12334500556144 is an abundant number, since it is smaller than the sum of its proper divisors (13545688162016).

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

12334500556144 is a wasteful number, since it uses less digits than its factorization.

12334500556144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331287817 (or 331287811 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 12334500556144 in words is "twelve trillion, three hundred thirty-four billion, five hundred million, five hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 716 1432 2327 2864 4654 9308 18616 37232 331287617 662575234 1325150468 2650300936 4306739021 5300601872 8613478042 17226956084 34453912168 59300483443 68907824336 118600966886 237201933772 474403867544 770906284759 948807735088 1541812569518 3083625139036 6167250278072 12334500556144