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240540300505125 = 3253213813600449
BaseRepresentation
bin110110101100010100100111…
…001010100111000000100101
31011112200102120010021120011100
4312230110213022213000211
5223012003013412131000
62211330404420430313
7101444314612034025
oct6654244712470045
91145612503246140
10240540300505125
116a7096288428a5
1222b8a3a3b48399
13a42ab120a063a
1443582d9795a85
151cc2012984a00
hexdac5272a7025

240540300505125 has 24 divisors (see below), whose sum is σ = 433613981712600. Its totient is φ = 128288160268800.

The previous prime is 240540300505103. The next prime is 240540300505129. The reversal of 240540300505125 is 521505003045042.

240540300505125 is a `hidden beast` number, since 2 + 40 + 54 + 0 + 3 + 0 + 0 + 50 + 512 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1779766778241 + 238760533726884 = 1334079^2 + 15451878^2 .

It is not a de Polignac number, because 240540300505125 - 25 = 240540300505093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240540300505125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240540300505129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106906799100 + ... + 106906801349.

It is an arithmetic number, because the mean of its divisors is an integer number (18067249238025).

Almost surely, 2240540300505125 is an apocalyptic number.

240540300505125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240540300505125 is a deficient number, since it is larger than the sum of its proper divisors (193073681207475).

240540300505125 is a wasteful number, since it uses less digits than its factorization.

240540300505125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213813600470 (or 213813600457 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 240540300505125 in words is "two hundred forty trillion, five hundred forty billion, three hundred million, five hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 213813600449 641440801347 1069068002245 1924322404041 3207204006735 5345340011225 9621612020205 16036020033675 26726700056125 48108060101025 80180100168375 240540300505125