Search a number
-
+
140240114001 = 32131368187613
BaseRepresentation
bin1000001010011011110…
…1100101000101010001
3111101222120111221020100
42002212331211011101
54244202432122001
6144231520203013
713063165205061
oct2024675450521
9441876457210
10140240114001
1154525985369
122321a169469
13102bc5529a0
146b054933a1
1539abd51586
hex20a6f65151

140240114001 has 24 divisors (see below), whose sum is σ = 218169724136. Its totient is φ = 86294315520.

The previous prime is 140240113991. The next prime is 140240114017. The reversal of 140240114001 is 100411042041.

140240114001 is a `hidden beast` number, since 14 + 0 + 240 + 11 + 400 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59838944400 + 80401169601 = 244620^2 + 283551^2 .

It is not a de Polignac number, because 140240114001 - 211 = 140240111953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140240114071) 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 23 ways as a sum of consecutive naturals, for example, 1556871 + ... + 1644483.

Almost surely, 2140240114001 is an apocalyptic number.

It is an amenable number.

140240114001 is a deficient number, since it is larger than the sum of its proper divisors (77929610135).

140240114001 is a wasteful number, since it uses less digits than its factorization.

140240114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101313 (or 101310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140240114001 its reverse (100411042041), we get a palindrome (240651156042).

The spelling of 140240114001 in words is "one hundred forty billion, two hundred forty million, one hundred fourteen thousand, one".

Divisors: 1 3 9 13 39 117 13681 41043 87613 123129 177853 262839 533559 788517 1138969 1600677 3416907 10250721 1198633453 3595900359 10787701077 15582234889 46746704667 140240114001