Search a number
-
+
241010141124240 = 24345167632218751
BaseRepresentation
bin110110110011001010001011…
…110110010101011010010000
31011121100100022010021222120000
4312303022023312111122100
5223042202232111433430
62212330310315450000
7101523256654304265
oct6663121366253220
91147310263258500
10241010141124240
116a87a9105a8024
1223045468756900
13a46320ab215b7
144372d4b32326c
151cce3609a9e60
hexdb328bd95690

241010141124240 has 200 divisors, whose sum is σ = 837114237831168. Its totient is φ = 64265508000000.

The previous prime is 241010141124239. The next prime is 241010141124287. The reversal of 241010141124240 is 42421141010142.

241010141124240 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 1 + 0 + 1 + 411 + 2 + 4 + 240 = 666.

241010141124240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2410101411242402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107514865 + ... + 109733615.

Almost surely, 2241010141124240 is an apocalyptic number.

241010141124240 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 241010141124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418557118915584).

241010141124240 is an abundant number, since it is smaller than the sum of its proper divisors (596104096706928).

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

241010141124240 is a wasteful number, since it uses less digits than its factorization.

241010141124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235539 (or 2235524 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 241010141124240 its reverse (42421141010142), we get a palindrome (283431282134382).

The spelling of 241010141124240 in words is "two hundred forty-one trillion, ten billion, one hundred forty-one million, one hundred twenty-four thousand, two hundred forty".