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254120045400225 = 32521129422424001
BaseRepresentation
bin111001110001111011101111…
…000010010101000010100001
31020022202122020220002012112200
4321301323233002111002201
5231302000323110301400
62300245045350243413
7104345365423103454
oct7161735702250241
91208678226065480
10254120045400225
1173a74784806a74
1224602201056569
13aba45571cc484
1446a769393149b
151e5a3a3b2bb00
hexe71eef0950a1

254120045400225 has 18 divisors (see below), whose sum is σ = 455157236872806. Its totient is φ = 135530690880000.

The previous prime is 254120045400211. The next prime is 254120045400259. The reversal of 254120045400225 is 522004540021452.

254120045400225 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 20 + 0 + 4 + 5 + 400 + 225 = 666.

254120045400225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 305154598464 + 253814890801761 = 552408^2 + 15931569^2 .

It is not a de Polignac number, because 254120045400225 - 213 = 254120045392033 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 254120045400225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 564711211776 + ... + 564711212225.

Almost surely, 2254120045400225 is an apocalyptic number.

254120045400225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

254120045400225 is a deficient number, since it is larger than the sum of its proper divisors (201037191472581).

254120045400225 is a wasteful number, since it uses less digits than its factorization.

254120045400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129422424017 (or 1129422424009 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 254120045400225 its reverse (522004540021452), we get a palindrome (776124585421677).

The spelling of 254120045400225 in words is "two hundred fifty-four trillion, one hundred twenty billion, forty-five million, four hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1129422424001 3388267272003 5647112120005 10164801816009 16941336360015 28235560600025 50824009080045 84706681800075 254120045400225