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4114807245 = 3251729185477
BaseRepresentation
bin1111010101000010…
…1111100111001101
3101121202201212101100
43311100233213031
531411342312440
61520150333313
7203653166403
oct36520574715
911552655340
104114807245
11182177964a
1296a05a239
1350764abb3
142b06bb473
151913a2230
hexf542f9cd

4114807245 has 48 divisors (see below), whose sum is σ = 7812333360. Its totient is φ = 1994237952.

The previous prime is 4114807231. The next prime is 4114807247. The reversal of 4114807245 is 5427084114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2022084 + 4112785161 = 1422^2 + 64131^2 .

It is not a de Polignac number, because 4114807245 - 27 = 4114807117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114807247) 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 47 ways as a sum of consecutive naturals, for example, 70554 + ... + 114923.

It is an arithmetic number, because the mean of its divisors is an integer number (162756945).

Almost surely, 24114807245 is an apocalyptic number.

4114807245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4114807245 is a deficient number, since it is larger than the sum of its proper divisors (3697526115).

4114807245 is a wasteful number, since it uses less digits than its factorization.

4114807245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185534 (or 185531 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4114807245 is about 64146.7633244266. The cubic root of 4114807245 is about 1602.4451214857.

The spelling of 4114807245 in words is "four billion, one hundred fourteen million, eight hundred seven thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 1305 1479 2465 4437 7395 22185 185477 556431 927385 1669293 2782155 3153109 5378833 8346465 9459327 15765545 16136499 26894165 28377981 47296635 48409497 80682495 91440161 141889905 242047485 274320483 457200805 822961449 1371602415 4114807245