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2144311001 = 72149293701
BaseRepresentation
bin111111111001111…
…1001011011011001
312112102220021200222
41333303321123121
513342420423001
6552440005425
7104065225400
oct17763713331
95472807628
102144311001
11a00453658
124ba160875
132823339a1
14164b02637
15c83bb61b
hex7fcf96d9

2144311001 has 12 divisors (see below), whose sum is σ = 2511152100. Its totient is φ = 1825639200.

The previous prime is 2144310977. The next prime is 2144311007. The reversal of 2144311001 is 1001134412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179694025 + 1964616976 = 13405^2 + 44324^2 .

It is not a de Polignac number, because 2144311001 - 26 = 2144310937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2144311007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139550 + ... + 154151.

It is an arithmetic number, because the mean of its divisors is an integer number (209262675).

Almost surely, 22144311001 is an apocalyptic number.

It is an amenable number.

2144311001 is a deficient number, since it is larger than the sum of its proper divisors (366841099).

2144311001 is a wasteful number, since it uses less digits than its factorization.

2144311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293864 (or 293857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2144311001 is about 46306.7057886868. The cubic root of 2144311001 is about 1289.5234906519.

Adding to 2144311001 its reverse (1001134412), we get a palindrome (3145445413).

The spelling of 2144311001 in words is "two billion, one hundred forty-four million, three hundred eleven thousand, one".

Divisors: 1 7 49 149 1043 7301 293701 2055907 14391349 43761449 306330143 2144311001