Search a number
-
+
144331124222137 is a prime number
BaseRepresentation
bin100000110100010010110101…
…011000111010100010111001
3200221000220212012120120111111
4200310102311120322202321
5122404210120300102022
61230544445250200321
742254402543532136
oct4064226530724271
9627026765516444
10144331124222137
1141a96538a11946
12142304095830a1
13626c49c5b1908
14278d94121d58d
1511a45b52ec477
hex8344b563a8b9

144331124222137 has 2 divisors, whose sum is σ = 144331124222138. Its totient is φ = 144331124222136.

The previous prime is 144331124222123. The next prime is 144331124222287. The reversal of 144331124222137 is 731222421133441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132019088881936 + 12312035340201 = 11489956^2 + 3508851^2 .

It is a cyclic number.

It is not a de Polignac number, because 144331124222137 - 211 = 144331124220089 is a prime.

It is a super-3 number, since 3×1443311242221373 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144331124222137.

It is not a weakly prime, because it can be changed into another prime (144331124222107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72165562111068 + 72165562111069.

It is an arithmetic number, because the mean of its divisors is an integer number (72165562111069).

Almost surely, 2144331124222137 is an apocalyptic number.

It is an amenable number.

144331124222137 is a deficient number, since it is larger than the sum of its proper divisors (1).

144331124222137 is an equidigital number, since it uses as much as digits as its factorization.

144331124222137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 40.

Adding to 144331124222137 its reverse (731222421133441), we get a palindrome (875553545355578).

The spelling of 144331124222137 in words is "one hundred forty-four trillion, three hundred thirty-one billion, one hundred twenty-four million, two hundred twenty-two thousand, one hundred thirty-seven".