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144231121132441 = 722943492268009
BaseRepresentation
bin100000110010110101101100…
…101111011001101110011001
3200220200100201211010020222121
4200302311230233121232121
5122401040314002214231
61230430510133021241
742244232431354600
oct4062655457315631
9626610654106877
10144231121132441
1141a58090866482
1214214b5a784821
136262c2325ca65
142788b759d6a37
1511a1bb0ba2311
hex832d6cbd9b99

144231121132441 has 6 divisors (see below), whose sum is σ = 167779059276570. Its totient is φ = 123626675256336.

The previous prime is 144231121132433. The next prime is 144231121132453.

It is a happy number.

144231121132441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 132994519905625 + 11236601226816 = 11532325^2 + 3352104^2 .

It is not a de Polignac number, because 144231121132441 - 23 = 144231121132433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144231121132397 and 144231121132406.

It is not an unprimeable number, because it can be changed into a prime (144231121132481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1471746133956 + ... + 1471746134053.

It is an arithmetic number, because the mean of its divisors is an integer number (27963176546095).

Almost surely, 2144231121132441 is an apocalyptic number.

It is an amenable number.

144231121132441 is a deficient number, since it is larger than the sum of its proper divisors (23547938144129).

144231121132441 is an equidigital number, since it uses as much as digits as its factorization.

144231121132441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943492268023 (or 2943492268016 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 144231121132441 in words is "one hundred forty-four trillion, two hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 7 49 2943492268009 20604445876063 144231121132441