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240305004345231 = 32710358336824239
BaseRepresentation
bin110110101000111001011110…
…011010111111011110001111
31011111211221012221001011201200
4312220321132122333132033
5222444124122103021411
62211030332303240543
7101421315011466540
oct6650713632773617
91144757187034650
10240305004345231
116a62886423a321
1222b508778a9153
13a4118843a5867
14434ab77b144c7
151cbad4097de56
hexda8e5e6bf78f

240305004345231 has 24 divisors (see below), whose sum is σ = 396697815920640. Its totient is φ = 137315815938576.

The previous prime is 240305004345229. The next prime is 240305004345349. The reversal of 240305004345231 is 132543400503042.

240305004345231 is a `hidden beast` number, since 2 + 4 + 0 + 30 + 50 + 0 + 4 + 345 + 231 = 666.

It is not a de Polignac number, because 240305004345231 - 21 = 240305004345229 is a prime.

It is a super-2 number, since 2×2403050043452312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240305004345631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11886391 + ... + 24937848.

It is an arithmetic number, because the mean of its divisors is an integer number (16529075663360).

Almost surely, 2240305004345231 is an apocalyptic number.

240305004345231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240305004345231 is a deficient number, since it is larger than the sum of its proper divisors (156392811575409).

240305004345231 is a wasteful number, since it uses less digits than its factorization.

240305004345231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36927835 (or 36927832 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 240305004345231 its reverse (132543400503042), we get a palindrome (372848404848273).

The spelling of 240305004345231 in words is "two hundred forty trillion, three hundred five billion, four million, three hundred forty-five thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 103583 310749 725081 932247 2175243 6525729 36824239 110472717 257769673 331418151 773309019 2319927057 3814365148337 11443095445011 26700556038359 34329286335033 80101668115077 240305004345231