Search a number
-
+
144240141031011 = 335342227445593
BaseRepresentation
bin100000110010111110000110…
…010111100101011001100011
3200220201020000102122120201000
4200302332012113211121203
5122401212302100443021
61230435001144443043
742245002105263144
oct4062760627453143
9626636012576630
10144240141031011
1141a6099a308803
1214216857479483
136263a2cb8924c
14278938d90bacb
1511a203c9aeb26
hex832f865e5663

144240141031011 has 8 divisors (see below), whose sum is σ = 213689097823760. Its totient is φ = 96160094020656.

The previous prime is 144240141030883. The next prime is 144240141031037. The reversal of 144240141031011 is 110130141042441.

144240141031011 is a `hidden beast` number, since 1 + 4 + 4 + 240 + 1 + 410 + 3 + 1 + 0 + 1 + 1 = 666.

144240141031011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144240141031011 - 27 = 144240141030883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5342227445593 = 144240141031011 / (1 + 4 + 4 + 2 + 4 + 0 + 1 + 4 + 1 + 0 + 3 + 1 + 0 + 1 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144240141051011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2671113722770 + ... + 2671113722823.

It is an arithmetic number, because the mean of its divisors is an integer number (26711137227970).

Almost surely, 2144240141031011 is an apocalyptic number.

144240141031011 is a deficient number, since it is larger than the sum of its proper divisors (69448956792749).

144240141031011 is an equidigital number, since it uses as much as digits as its factorization.

144240141031011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342227445602 (or 5342227445596 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 144240141031011 its reverse (110130141042441), we get a palindrome (254370282073452).

The spelling of 144240141031011 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred forty-one million, thirty-one thousand, eleven".

Divisors: 1 3 9 27 5342227445593 16026682336779 48080047010337 144240141031011