Search a number
-
+
144242042301231 = 3758491174332139
BaseRepresentation
bin100000110010111111110111…
…101100010110101100101111
3200220201101220221020010010120
4200302333313230112230233
5122401230200312114411
61230435513543340023
742245100162643050
oct4062776754265457
9626641827203116
10144242042301231
1141a61785551206
12142170a8151613
136263c73a46004
1427894d0226727
1511a20ee86e106
hex832ff7b16b2f

144242042301231 has 16 divisors (see below), whose sum is σ = 219834976608000. Its totient is φ = 82409932116288.

The previous prime is 144242042301229. The next prime is 144242042301281. The reversal of 144242042301231 is 132103240242441.

It is not a de Polignac number, because 144242042301231 - 21 = 144242042301229 is a prime.

It is a super-2 number, since 2×1442420423012312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144242042301192 and 144242042301201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242042301281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587043241 + ... + 587288898.

It is an arithmetic number, because the mean of its divisors is an integer number (13739686038000).

Almost surely, 2144242042301231 is an apocalyptic number.

144242042301231 is a deficient number, since it is larger than the sum of its proper divisors (75592934306769).

144242042301231 is a wasteful number, since it uses less digits than its factorization.

144242042301231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174337998.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144242042301231 its reverse (132103240242441), we get a palindrome (276345282543672).

The spelling of 144242042301231 in words is "one hundred forty-four trillion, two hundred forty-two billion, forty-two million, three hundred one thousand, two hundred thirty-one".

Divisors: 1 3 7 21 5849 17547 40943 122829 1174332139 3522996417 8220324973 24660974919 6868668681011 20606006043033 48080680767077 144242042301231