Search a number
-
+
144333222231 = 31117569452159
BaseRepresentation
bin1000011001101011101…
…1100011000101010111
3111210112211102101011110
42012122323203011113
54331043301102411
6150150013510103
713266466101162
oct2063273430527
9453484371143
10144333222231
1156236383140
1223b80aa2333
13107c2544013
146db2d22ad9
153b4b3692a6
hex219aee3157

144333222231 has 32 divisors (see below), whose sum is σ = 222679756800. Its totient is φ = 82184238080.

The previous prime is 144333222221. The next prime is 144333222269. The reversal of 144333222231 is 132222333441.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 144333222231 - 29 = 144333221719 is a prime.

It is a super-2 number, since 2×1443332222312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144333222221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93130 + ... + 545288.

It is an arithmetic number, because the mean of its divisors is an integer number (6958742400).

Almost surely, 2144333222231 is an apocalyptic number.

144333222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144333222231 is a deficient number, since it is larger than the sum of its proper divisors (78346534569).

144333222231 is a wasteful number, since it uses less digits than its factorization.

144333222231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452759.

The product of its digits is 20736, while the sum is 30.

Adding to 144333222231 its reverse (132222333441), we get a palindrome (276555555672).

The spelling of 144333222231 in words is "one hundred forty-four billion, three hundred thirty-three million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 569 1707 6259 9673 18777 29019 106403 319209 452159 1356477 4973749 7686703 14921247 23060109 84553733 253661199 257278471 771835413 2830063181 4373734007 8490189543 13121202021 48111074077 144333222231