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144120143002241 = 7213979532103953
BaseRepresentation
bin100000110001001110010101…
…111011011011101010000001
3200220021202021120012010020002
4200301032111323123222001
5122342231023102032431
61230303514002325345
742233223332000600
oct4061162573335201
9626252246163202
10144120143002241
1141a1501157a6aa
12141b7548359855
1362556182121b3
142783648959a37
15119dd67c983cb
hex831395edba81

144120143002241 has 12 divisors (see below), whose sum is σ = 167650161876612. Its totient is φ = 123531404064768.

The previous prime is 144120143002229. The next prime is 144120143002279. The reversal of 144120143002241 is 142200341021441.

It can be written as a sum of positive squares in 2 ways, for example, as 56077033171600 + 88043109830641 = 7488460^2 + 9383129^2 .

It is not a de Polignac number, because 144120143002241 - 242 = 139722096491137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144120143002841) 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 11 ways as a sum of consecutive naturals, for example, 67447721 + ... + 69551673.

It is an arithmetic number, because the mean of its divisors is an integer number (13970846823051).

Almost surely, 2144120143002241 is an apocalyptic number.

It is an amenable number.

144120143002241 is a deficient number, since it is larger than the sum of its proper divisors (23530018874371).

144120143002241 is a wasteful number, since it uses less digits than its factorization.

144120143002241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501920 (or 3501913 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 144120143002241 its reverse (142200341021441), we get a palindrome (286320484023682).

The spelling of 144120143002241 in words is "one hundred forty-four trillion, one hundred twenty billion, one hundred forty-three million, two thousand, two hundred forty-one".

Divisors: 1 7 49 1397953 2103953 9785671 14727671 68499697 103093697 2941227408209 20588591857463 144120143002241