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2144019727 = 23473495683
BaseRepresentation
bin111111111001011…
…0010010100001111
312112102100111011001
41333302302110033
513342332112402
6552425441131
7104062603243
oct17762622417
95472314131
102144019727
11a00274833
124ba0401a7
13282261235
14164a68423
15c8360187
hex7fcb250f

2144019727 has 16 divisors (see below), whose sum is σ = 2291788800. Its totient is φ = 2001064032.

The previous prime is 2144019697. The next prime is 2144019733. The reversal of 2144019727 is 7279104412.

It is a de Polignac number, because none of the positive numbers 2k-2144019727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144019127) 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 15 ways as a sum of consecutive naturals, for example, 374428 + ... + 380110.

It is an arithmetic number, because the mean of its divisors is an integer number (143236800).

Almost surely, 22144019727 is an apocalyptic number.

2144019727 is a deficient number, since it is larger than the sum of its proper divisors (147769073).

2144019727 is a wasteful number, since it uses less digits than its factorization.

2144019727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 2144019727 is about 46303.5606298263. The cubic root of 2144019727 is about 1289.4651002298.

The spelling of 2144019727 in words is "two billion, one hundred forty-four million, nineteen thousand, seven hundred twenty-seven".

Divisors: 1 23 47 349 1081 5683 8027 16403 130709 267101 377269 1983367 6143323 45617441 93218249 2144019727