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2144072727 = 331922918251
BaseRepresentation
bin111111111001011…
…1111010000010111
312112102110011212000
41333302333100113
513342340311402
6552430530343
7104063213616
oct17762772027
95472404760
102144072727
11a00300635
124ba0669b3
1328227c3b4
14164a7d87d
15c8370c1c
hex7fcbf417

2144072727 has 32 divisors (see below), whose sum is σ = 3358368000. Its totient is φ = 1348164000.

The previous prime is 2144072717. The next prime is 2144072731. The reversal of 2144072727 is 7272704412.

It is a happy number.

It is not a de Polignac number, because 2144072727 - 28 = 2144072471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2144072691 and 2144072700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144072717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108352 + ... + 126602.

It is an arithmetic number, because the mean of its divisors is an integer number (104949000).

Almost surely, 22144072727 is an apocalyptic number.

2144072727 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2144072727 is a deficient number, since it is larger than the sum of its proper divisors (1214295273).

2144072727 is a wasteful number, since it uses less digits than its factorization.

2144072727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18508 (or 18502 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 2144072727 is about 46304.1329364885. The cubic root of 2144072727 is about 1289.4757253011.

The spelling of 2144072727 in words is "two billion, one hundred forty-four million, seventy-two thousand, seven hundred twenty-seven".

Divisors: 1 3 9 19 27 57 171 229 513 687 2061 4351 6183 13053 18251 39159 54753 117477 164259 346769 492777 1040307 3120921 4179479 9362763 12538437 37615311 79410101 112845933 238230303 714690909 2144072727