Search a number
-
+
241234330410460 = 22543535292547837
BaseRepresentation
bin110110110110011010111110…
…100100100101110111011100
31011122010202222020222201122001
4312312122332210211313130
5223104340402041113320
62213021304350132044
7101545414406634532
oct6666327644456734
91148122866881561
10241234330410460
116a9569a5606a62
12230809b51b1024
13a47b3b871268a
14437db37c34152
151cd50d286020a
hexdb66be925ddc

241234330410460 has 48 divisors (see below), whose sum is σ = 528153933849696. Its totient is φ = 92471395790592.

The previous prime is 241234330410431. The next prime is 241234330410461. The reversal of 241234330410460 is 64014033432142.

It is a super-3 number, since 3×2412343304104603 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241234330410461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646228339 + ... + 2646319498.

It is an arithmetic number, because the mean of its divisors is an integer number (11003206955202).

Almost surely, 2241234330410460 is an apocalyptic number.

241234330410460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241234330410460 is an abundant number, since it is smaller than the sum of its proper divisors (286919603439236).

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

241234330410460 is a wasteful number, since it uses less digits than its factorization.

241234330410460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292547942 (or 5292547940 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 241234330410460 in words is "two hundred forty-one trillion, two hundred thirty-four billion, three hundred thirty million, four hundred ten thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 4558 9116 11395 22790 45580 5292547837 10585095674 21170191348 26462739185 52925478370 105850956740 227579556991 280505035361 455159113982 561010070722 910318227964 1122020141444 1137897784955 1402525176805 2275795569910 2805050353610 4551591139820 5610100707220 12061716520523 24123433041046 48246866082092 60308582602615 120617165205230 241234330410460