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4140164025 = 325237213441
BaseRepresentation
bin1111011011000101…
…1110001110111001
3101200112110010100100
43312301132032321
531434340222100
61522454030013
7204411546024
oct36661361671
911615403310
104140164025
111835018568
12976648309
1350c9885ca
142b3bdc1bb
15193710400
hexf6c5e3b9

4140164025 has 54 divisors (see below), whose sum is σ = 7621896282. Its totient is φ = 2148249600.

The previous prime is 4140164009. The next prime is 4140164029. The reversal of 4140164025 is 5204610414.

4140164025 is a `hidden beast` number, since 4 + 14 + 0 + 1 + 640 + 2 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 320553216 + 3819610809 = 17904^2 + 61803^2 .

It is not a de Polignac number, because 4140164025 - 24 = 4140164009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4140164025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140164029) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 301305 + ... + 314745.

Almost surely, 24140164025 is an apocalyptic number.

4140164025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4140164025 is a deficient number, since it is larger than the sum of its proper divisors (3481732257).

4140164025 is a wasteful number, since it uses less digits than its factorization.

4140164025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13486 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4140164025 is about 64344.1063734667. The cubic root of 4140164025 is about 1605.7299791790.

Adding to 4140164025 its reverse (5204610414), we get a palindrome (9344774439).

The spelling of 4140164025 in words is "four billion, one hundred forty million, one hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1369 1665 2775 4107 6845 8325 12321 13441 20535 34225 40323 61605 67205 102675 120969 201615 308025 336025 497317 604845 1008075 1491951 2486585 3024225 4475853 7459755 12432925 18400729 22379265 37298775 55202187 92003645 111896325 165606561 276010935 460018225 828032805 1380054675 4140164025