Search a number
-
+
4140114144 = 25343126189
BaseRepresentation
bin1111011011000101…
…0010000011100000
3101200112100120220220
43312301102003200
531434332123034
61522453003040
7204411250425
oct36661220340
911615316826
104140114144
111834a94041
12976623480
1350c96b9aa
142b3bc7d4c
15193700749
hexf6c520e0

4140114144 has 24 divisors (see below), whose sum is σ = 10867799880. Its totient is φ = 1380038016.

The previous prime is 4140114101. The next prime is 4140114151. The reversal of 4140114144 is 4414110414.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21562999 + ... + 21563190.

It is an arithmetic number, because the mean of its divisors is an integer number (452824995).

Almost surely, 24140114144 is an apocalyptic number.

It is an amenable number.

4140114144 is an abundant number, since it is smaller than the sum of its proper divisors (6727685736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4140114144 is a wasteful number, since it uses less digits than its factorization.

4140114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43126202 (or 43126194 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4140114144 is about 64343.7187610415. The cubic root of 4140114144 is about 1605.7235305022.

Adding to 4140114144 its reverse (4414110414), we get a palindrome (8554224558).

It can be divided in two parts, 414011 and 4144, that added together give a triangular number (418155 = T914).

The spelling of 4140114144 in words is "four billion, one hundred forty million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 43126189 86252378 129378567 172504756 258757134 345009512 517514268 690019024 1035028536 1380038048 2070057072 4140114144