Search a number
-
+
241404100024024 = 23743100250872103
BaseRepresentation
bin110110111000111001000101…
…101000010001011011011000
31011122202000011210110122222101
4312320321011220101123120
5223120131044101232044
62213231302414133144
7101563604432560240
oct6670710550213330
91148660153418871
10241404100024024
116aa119a4087413
12230a98947b11b4
13a491402a03612
144388041058b20
151cd971bd4ccd4
hexdb8e45a116d8

241404100024024 has 32 divisors (see below), whose sum is σ = 529324604709120. Its totient is φ = 101052879078816.

The previous prime is 241404100023703. The next prime is 241404100024093. The reversal of 241404100024024 is 420420001404142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 241404100023983 and 241404100024001.

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, 50125433644 + ... + 50125438459.

It is an arithmetic number, because the mean of its divisors is an integer number (16541393897160).

Almost surely, 2241404100024024 is an apocalyptic number.

It is an amenable number.

241404100024024 is an abundant number, since it is smaller than the sum of its proper divisors (287920504685096).

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

241404100024024 is a wasteful number, since it uses less digits than its factorization.

241404100024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100250872159 (or 100250872155 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 241404100024024 its reverse (420420001404142), we get a palindrome (661824101428166).

The spelling of 241404100024024 in words is "two hundred forty-one trillion, four hundred four billion, one hundred million, twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 100250872103 200501744206 401003488412 701756104721 802006976824 1403512209442 2807024418884 4310787500429 5614048837768 8621575000858 17243150001716 30175512503003 34486300003432 60351025006006 120702050012012 241404100024024