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2142041229 = 3210110612221
BaseRepresentation
bin111111110101100…
…1111010010001101
312112021121222011100
41333223033102031
513341330304404
6552315213313
7104040023106
oct17753172215
95467558140
102142041229
119aa143309
124b9447239
13281a1a823
141646b13ad
15c80bdd39
hex7facf48d

2142041229 has 24 divisors (see below), whose sum is σ = 3129047064. Its totient is φ = 1411920000.

The previous prime is 2142041201. The next prime is 2142041243. The reversal of 2142041229 is 9221402412.

It can be written as a sum of positive squares in 4 ways, for example, as 1224860004 + 917181225 = 34998^2 + 30285^2 .

It is not a de Polignac number, because 2142041229 - 27 = 2142041101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142041299) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963339 + ... + 965559.

It is an arithmetic number, because the mean of its divisors is an integer number (130376961).

Almost surely, 22142041229 is an apocalyptic number.

It is an amenable number.

2142041229 is a deficient number, since it is larger than the sum of its proper divisors (987005835).

2142041229 is a wasteful number, since it uses less digits than its factorization.

2142041229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2142041229 is about 46282.1912726699. The cubic root of 2142041229 is about 1289.0683393789.

The spelling of 2142041229 in words is "two billion, one hundred forty-two million, forty-one thousand, two hundred twenty-nine".

Divisors: 1 3 9 101 303 909 1061 2221 3183 6663 9549 19989 107161 224321 321483 672963 964449 2018889 2356481 7069443 21208329 238004581 714013743 2142041229