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240254221340025 = 3452118644059921
BaseRepresentation
bin110110101000001010001011…
…100001001100110101111001
31011111200002010202212012220000
4312220022023201030311321
5222442311121130340100
62210551133211223213
7101414536401202014
oct6650121341146571
91144602122765800
10240254221340025
116a609274593932
1222b42a64747b09
13a409b50353559
14434851b40037b
151cb986c4bc900
hexda828b84cd79

240254221340025 has 30 divisors (see below), whose sum is σ = 445033868767422. Its totient is φ = 128135584713600.

The previous prime is 240254221340017. The next prime is 240254221340053. The reversal of 240254221340025 is 520043122452042.

240254221340025 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 5 + 4 + 221 + 3 + 400 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7498555245801 + 232755666094224 = 2738349^2 + 15256332^2 .

It is not a de Polignac number, because 240254221340025 - 23 = 240254221340017 is a prime.

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 29 ways as a sum of consecutive naturals, for example, 59322027936 + ... + 59322031985.

Almost surely, 2240254221340025 is an apocalyptic number.

240254221340025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240254221340025 is a deficient number, since it is larger than the sum of its proper divisors (204779647427397).

240254221340025 is a wasteful number, since it uses less digits than its factorization.

240254221340025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118644059943 (or 118644059929 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 240254221340025 its reverse (520043122452042), we get a palindrome (760297343792067).

The spelling of 240254221340025 in words is "two hundred forty trillion, two hundred fifty-four billion, two hundred twenty-one million, three hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 118644059921 355932179763 593220299605 1067796539289 1779660898815 2966101498025 3203389617867 5338982696445 8898304494075 9610168853601 16016948089335 26694913482225 48050844268005 80084740446675 240254221340025