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214054415441 = 4149731049837
BaseRepresentation
bin1100011101011010100…
…0110010110001010001
3202110111211010222000122
43013112220302301101
512001340412243231
6242200225000025
721315316340066
oct3072650626121
9673454128018
10214054415441
1182864156579
123559a483015
1317253ca1129
14a5088c0c6d
15587c25577b
hex31d6a32c51

214054415441 has 8 divisors (see below), whose sum is σ = 219319556904. Its totient is φ = 208791383680.

The previous prime is 214054415429. The next prime is 214054415453. The reversal of 214054415441 is 144514450412.

It is an interprime number because it is at equal distance from previous prime (214054415429) and next prime (214054415453).

It can be written as a sum of positive squares in 4 ways, for example, as 48258863041 + 165795552400 = 219679^2 + 407180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214054415441 - 210 = 214054414417 is a prime.

It is a super-3 number, since 3×2140544154413 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214054415041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321026 + ... + 728811.

It is an arithmetic number, because the mean of its divisors is an integer number (27414944613).

Almost surely, 2214054415441 is an apocalyptic number.

It is an amenable number.

214054415441 is a deficient number, since it is larger than the sum of its proper divisors (5265141463).

214054415441 is a wasteful number, since it uses less digits than its factorization.

214054415441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054851.

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 214054415441 its reverse (144514450412), we get a palindrome (358568865853).

The spelling of 214054415441 in words is "two hundred fourteen billion, fifty-four million, four hundred fifteen thousand, four hundred forty-one".

Divisors: 1 41 4973 203893 1049837 43043317 5220839401 214054415441