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2142044010 = 232523800489
BaseRepresentation
bin111111110101100…
…1111111101101010
312112021122002222100
41333223033331222
513341330402020
6552315234230
7104040034161
oct17753177552
95467562870
102142044010
119aa145407
124b9448976
13281a1bb82
141646b23d8
15c80bea90
hex7facff6a

2142044010 has 24 divisors (see below), whose sum is σ = 5569314660. Its totient is φ = 571211712.

The previous prime is 2142043991. The next prime is 2142044017. The reversal of 2142044010 is 104402412.

2142044010 is a `hidden beast` number, since 214 + 2 + 0 + 440 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2104332129 + 37711881 = 45873^2 + 6141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2142044017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11900155 + ... + 11900334.

Almost surely, 22142044010 is an apocalyptic number.

2142044010 is an abundant number, since it is smaller than the sum of its proper divisors (3427270650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142044010 is a wasteful number, since it uses less digits than its factorization.

2142044010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23800502 (or 23800499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2142044010 is about 46282.2213166136. The cubic root of 2142044010 is about 1289.0688972421.

Adding to 2142044010 its reverse (104402412), we get a palindrome (2246446422).

The spelling of 2142044010 in words is "two billion, one hundred forty-two million, forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23800489 47600978 71401467 119002445 142802934 214204401 238004890 357007335 428408802 714014670 1071022005 2142044010