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144312203441 = 7460105041
BaseRepresentation
bin1000011001100110101…
…1010111100010110001
3111210111100212111210202
42012121223113202301
54331022411002231
6150143543204545
713266122330000
oct2063153274261
9453440774722
10144312203441
115622552743a
1223b75a46755
13107bb094c73
146db0210c37
153b495b65cb
hex2199ad78b1

144312203441 has 10 divisors (see below), whose sum is σ = 168354222642. Its totient is φ = 123696172320.

The previous prime is 144312203419. The next prime is 144312203443. The reversal of 144312203441 is 144302213441.

144312203441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 138134872225 + 6177331216 = 371665^2 + 78596^2 .

It is not a de Polignac number, because 144312203441 - 210 = 144312202417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144312203443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30050120 + ... + 30054921.

Almost surely, 2144312203441 is an apocalyptic number.

It is an amenable number.

144312203441 is a deficient number, since it is larger than the sum of its proper divisors (24042019201).

144312203441 is an frugal number, since it uses more digits than its factorization.

144312203441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60105069 (or 60105048 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 144312203441 its reverse (144302213441), we get a palindrome (288614416882).

The spelling of 144312203441 in words is "one hundred forty-four billion, three hundred twelve million, two hundred three thousand, four hundred forty-one".

Divisors: 1 7 49 343 2401 60105041 420735287 2945147009 20616029063 144312203441