Search a number
-
+
21142114041 = 3109140945887
BaseRepresentation
bin10011101100001010…
…110000111011111001
32000120102121200011210
4103230022300323321
5321244340122131
613413524513333
71345631001306
oct235412607371
960512550153
1021142114041
118a6a199224
12412054b849
131cbc1b2469
141047c680ad
1583b170146
hex4ec2b0ef9

21142114041 has 16 divisors (see below), whose sum is σ = 28468915200. Its totient is φ = 13955217408.

The previous prime is 21142114031. The next prime is 21142114043. The reversal of 21142114041 is 14041124112.

It is not a de Polignac number, because 21142114041 - 211 = 21142111993 is a prime.

It is a super-2 number, since 2×211421140412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21142113999 and 21142114017.

It is not an unprimeable number, because it can be changed into a prime (21142114043) 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, 437800 + ... + 483686.

It is an arithmetic number, because the mean of its divisors is an integer number (1779307200).

Almost surely, 221142114041 is an apocalyptic number.

It is an amenable number.

21142114041 is a deficient number, since it is larger than the sum of its proper divisors (7326801159).

21142114041 is a wasteful number, since it uses less digits than its factorization.

21142114041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47408.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21142114041 its reverse (14041124112), we get a palindrome (35183238153).

The spelling of 21142114041 in words is "twenty-one billion, one hundred forty-two million, one hundred fourteen thousand, forty-one".

Divisors: 1 3 109 327 1409 4227 45887 137661 153581 460743 5001683 15005049 64654783 193964349 7047371347 21142114041