Search a number
-
+
4140305505 = 325713143827
BaseRepresentation
bin1111011011001000…
…0000110001100001
3101200112201022102100
43312302000301201
531434404234010
61522501041013
7204413005350
oct36662006141
911615638370
104140305505
111835104896
129766b6169
1350ca07b1b
142b3c37997
1519373c2c0
hexf6c80c61

4140305505 has 24 divisors (see below), whose sum is σ = 8201748672. Its totient is φ = 1892710944.

The previous prime is 4140305503. The next prime is 4140305557. The reversal of 4140305505 is 5055030414.

4140305505 is a `hidden beast` number, since 41 + 40 + 30 + 550 + 5 = 666.

It is not a de Polignac number, because 4140305505 - 21 = 4140305503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4140305503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571599 + ... + 6572228.

It is an arithmetic number, because the mean of its divisors is an integer number (341739528).

Almost surely, 24140305505 is an apocalyptic number.

4140305505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4140305505 is a deficient number, since it is larger than the sum of its proper divisors (4061443167).

4140305505 is a wasteful number, since it uses less digits than its factorization.

4140305505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143845 (or 13143842 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4140305505 is about 64345.2057654648. The cubic root of 4140305505 is about 1605.7482696049.

Adding to 4140305505 its reverse (5055030414), we get a palindrome (9195335919).

The spelling of 4140305505 in words is "four billion, one hundred forty million, three hundred five thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 13143827 39431481 65719135 92006789 118294443 197157405 276020367 460033945 591472215 828061101 1380101835 4140305505