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144124444001344 = 268925302746489
BaseRepresentation
bin100000110001010010010110…
…010010011100010001000000
3200220022011101022021111211011
4200301102112102130101000
5122342313330131020334
61230305504443530304
742233435035614562
oct4061222622342100
9626264338244734
10144124444001344
1141a1691935aa14
12141b8348829994
136255b522c1391
142783935c63332
15119e01a678564
hex83149649c440

144124444001344 has 28 divisors (see below), whose sum is σ = 289210392380700. Its totient is φ = 71252534110208.

The previous prime is 144124444001327. The next prime is 144124444001423. The reversal of 144124444001344 is 443100444421441.

It can be written as a sum of positive squares in 2 ways, for example, as 70766589394944 + 73357854606400 = 8412288^2 + 8564920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144124444001297 and 144124444001306.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12651367549 + ... + 12651378940.

It is an arithmetic number, because the mean of its divisors is an integer number (10328942585025).

Almost surely, 2144124444001344 is an apocalyptic number.

It is an amenable number.

144124444001344 is an abundant number, since it is smaller than the sum of its proper divisors (145085948379356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144124444001344 is an equidigital number, since it uses as much as digits as its factorization.

144124444001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25302746590 (or 25302746580 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 144124444001344 its reverse (443100444421441), we get a palindrome (587224888422785).

The spelling of 144124444001344 in words is "one hundred forty-four trillion, one hundred twenty-four billion, four hundred forty-four million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 25302746489 50605492978 101210985956 202421971912 404843943824 809687887648 1619375775296 2251944437521 4503888875042 9007777750084 18015555500168 36031111000336 72062222000672 144124444001344