Search a number
-
+
241043433332400 = 2432523831234714159
BaseRepresentation
bin110110110011101001001100…
…001110000001111010110000
31011121110112020022110101111200
4312303221030032001322300
5223043223422413114100
62212353454035211200
7101525545661353536
oct6663511416017260
91147415208411450
10241043433332400
116a892a45143846
122304b9ba146b00
13a4663b529b25a
1443747c8aba156
151cd015d647e00
hexdb3a4c381eb0

241043433332400 has 360 divisors, whose sum is σ = 838798873436160. Its totient is φ = 64100700648960.

The previous prime is 241043433332399. The next prime is 241043433332423. The reversal of 241043433332400 is 4233334340142.

241043433332400 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 43 + 43 + 333 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 17024036521 + ... + 17024050679.

It is an arithmetic number, because the mean of its divisors is an integer number (2329996870656).

Almost surely, 2241043433332400 is an apocalyptic number.

241043433332400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241043433332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419399436718080).

241043433332400 is an abundant number, since it is smaller than the sum of its proper divisors (597755440103760).

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

241043433332400 is a wasteful number, since it uses less digits than its factorization.

241043433332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26913 (or 26899 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 241043433332400 its reverse (4233334340142), we get a palindrome (245276767672542).

The spelling of 241043433332400 in words is "two hundred forty-one trillion, forty-three billion, four hundred thirty-three million, three hundred thirty-two thousand, four hundred".