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240112431225 = 32521999353377
BaseRepresentation
bin1101111110011111010…
…0001111000001111001
3211221202211220022122100
43133213310033001321
512413222240244400
6302150042414013
723230131663432
oct3374764170171
9757684808570
10240112431225
1192916231507
123a651201309
1319847778594
14b89b598489
1563a4c69100
hex37e7d0f079

240112431225 has 36 divisors (see below), whose sum is σ = 430097611996. Its totient is φ = 128051159040.

The previous prime is 240112431211. The next prime is 240112431289. The reversal of 240112431225 is 522134211042.

240112431225 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 1 + 2 + 431 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18316644921 + 221795786304 = 135339^2 + 470952^2 .

It is not a de Polignac number, because 240112431225 - 218 = 240112169081 is a prime.

It is a Duffinian 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 35 ways as a sum of consecutive naturals, for example, 4471737 + ... + 4525113.

Almost surely, 2240112431225 is an apocalyptic number.

240112431225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240112431225 is a deficient number, since it is larger than the sum of its proper divisors (189985180771).

240112431225 is a wasteful number, since it uses less digits than its factorization.

240112431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73386 (or 73378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 240112431225 its reverse (522134211042), we get a palindrome (762246642267).

The spelling of 240112431225 in words is "two hundred forty billion, one hundred twelve million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 19993 53377 59979 99965 160131 179937 266885 299895 480393 499825 800655 899685 1334425 1499475 2401965 4003275 4498425 12009825 1067166361 3201499083 5335831805 9604497249 16007495415 26679159025 48022486245 80037477075 240112431225