Search a number
-
+
241252302004020 = 223251340290566689
BaseRepresentation
bin110110110110101011101101…
…110000110001111100110100
31011122012111100201201021100100
4312312223231300301330310
5223110134203303112040
62213033435535514100
7101546621641646166
oct6666535560617464
91148174321637310
10241252302004020
116a96358805721a
122308438b988930
13a47ccc0aa83c8
144380960988936
151cd57d54a6b30
hexdb6aedc31f34

241252302004020 has 36 divisors (see below), whose sum is σ = 731798649412740. Its totient is φ = 64333947201024.

The previous prime is 241252302003989. The next prime is 241252302004139. The reversal of 241252302004020 is 20400203252142.

241252302004020 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 5 + 230 + 20 + 0 + 402 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179661103827984 + 61591198176036 = 13403772^2 + 7848006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670145283165 + ... + 670145283524.

It is an arithmetic number, because the mean of its divisors is an integer number (20327740261465).

Almost surely, 2241252302004020 is an apocalyptic number.

241252302004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241252302004020 is an abundant number, since it is smaller than the sum of its proper divisors (490546347408720).

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

241252302004020 is a wasteful number, since it uses less digits than its factorization.

241252302004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340290566704 (or 1340290566699 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 241252302004020 its reverse (20400203252142), we get a palindrome (261652505256162).

The spelling of 241252302004020 in words is "two hundred forty-one trillion, two hundred fifty-two billion, three hundred two million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1340290566689 2680581133378 4020871700067 5361162266756 6701452833445 8041743400134 12062615100201 13402905666890 16083486800268 20104358500335 24125230200402 26805811333780 40208717000670 48250460400804 60313075501005 80417434001340 120626151002010 241252302004020