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254136427145 = 53714934926417
BaseRepresentation
bin1110110010101110110…
…1100010001010001001
3220021222012112010102122
43230223231202022021
513130432411132040
6312425413341025
724234510663056
oct3545355421211
9807865463378
10254136427145
119886242a187
1241305937775
131ac71039613
14c42bd1a02d
15692603c1b5
hex3b2bb62289

254136427145 has 32 divisors (see below), whose sum is σ = 316223460000. Its totient is φ = 195916271616.

The previous prime is 254136427141. The next prime is 254136427169. The reversal of 254136427145 is 541724631452.

254136427145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 62556012544 + 191580414601 = 250112^2 + 437699^2 .

It is not a de Polignac number, because 254136427145 - 22 = 254136427141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 254136427096 and 254136427105.

It is not an unprimeable number, because it can be changed into a prime (254136427141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9606977 + ... + 9633393.

It is an arithmetic number, because the mean of its divisors is an integer number (9881983125).

Almost surely, 2254136427145 is an apocalyptic number.

It is an amenable number.

254136427145 is a deficient number, since it is larger than the sum of its proper divisors (62087032855).

254136427145 is a wasteful number, since it uses less digits than its factorization.

254136427145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26957.

The product of its digits is 806400, while the sum is 44.

The spelling of 254136427145 in words is "two hundred fifty-four billion, one hundred thirty-six million, four hundred twenty-seven thousand, one hundred forty-five".

Divisors: 1 5 37 149 185 349 745 1745 5513 12913 26417 27565 52001 64565 132085 260005 977429 1924037 3936133 4887145 9219533 9620185 19680665 46097665 145636921 341122721 728184605 1373710417 1705613605 6868552085 50827285429 254136427145