Search a number
-
+
144104133241002 = 23112183395958197
BaseRepresentation
bin100000110000111111011011…
…101011000010100010101010
3200220020012221210222222112010
4200300333123223002202222
5122342000231102203002
61230252305213500350
742232115521164054
oct4060773353024252
9626205853888463
10144104133241002
1141a09246478070
12141b441a7a16b6
136253c6641bcac
14278296a5a68d4
15119d72c4c546c
hex830fdbac28aa

144104133241002 has 16 divisors (see below), whose sum is σ = 314409017980512. Its totient is φ = 43667919163920.

The previous prime is 144104133240961. The next prime is 144104133241009. The reversal of 144104133241002 is 200142331401441.

It is a happy number.

It is a super-2 number, since 2×1441041332410022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144104133241009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091697979033 + ... + 1091697979164.

It is an arithmetic number, because the mean of its divisors is an integer number (19650563623782).

Almost surely, 2144104133241002 is an apocalyptic number.

144104133241002 is an abundant number, since it is smaller than the sum of its proper divisors (170304884739510).

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

144104133241002 is a wasteful number, since it uses less digits than its factorization.

144104133241002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183395958213.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144104133241002 its reverse (200142331401441), we get a palindrome (344246464642443).

The spelling of 144104133241002 in words is "one hundred forty-four trillion, one hundred four billion, one hundred thirty-three million, two hundred forty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 2183395958197 4366791916394 6550187874591 13100375749182 24017355540167 48034711080334 72052066620501 144104133241002