Search a number
-
+
4140140313 = 36736135701
BaseRepresentation
bin1111011011000101…
…1000011100011001
3101200112101220211010
43312301120130121
531434333442223
61522453324133
7204411416631
oct36661303431
911615356733
104140140313
111835001771
12976636649
1350c97a88a
142b3bd36c1
15193708393
hexf6c58719

4140140313 has 16 divisors (see below), whose sum is σ = 5605111616. Its totient is φ = 2717668800.

The previous prime is 4140140273. The next prime is 4140140321. The reversal of 4140140313 is 3130410414.

It is not a de Polignac number, because 4140140313 - 213 = 4140132121 is a prime.

It is a super-2 number, since 2×41401403132 = 34281523622655475938, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140140313.

It is not an unprimeable number, because it can be changed into a prime (4140140363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723363 + ... + 729063.

It is an arithmetic number, because the mean of its divisors is an integer number (350319476).

Almost surely, 24140140313 is an apocalyptic number.

It is an amenable number.

4140140313 is a deficient number, since it is larger than the sum of its proper divisors (1464971303).

4140140313 is a wasteful number, since it uses less digits than its factorization.

4140140313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4140140313 is about 64343.9221139029. The cubic root of 4140140313 is about 1605.7269136691.

Adding to 4140140313 its reverse (3130410414), we get a palindrome (7270550727).

It can be divided in two parts, 4140 and 140313, that added together give a triangular number (144453 = T537).

The spelling of 4140140313 in words is "four billion, one hundred forty million, one hundred forty thousand, three hundred thirteen".

Divisors: 1 3 67 201 3613 5701 10839 17103 242071 381967 726213 1145901 20597713 61793139 1380046771 4140140313