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144223890741 = 347237982097
BaseRepresentation
bin1000011001010001101…
…0011110110100110101
3111210021012200202120000
42012110122132310311
54330332304000431
6150131110301513
713264000562400
oct2062432366465
9453235622500
10144223890741
115618a698837
1223b50357899
13107a59b4028
146da25c2d37
153b4196e9e6
hex219469ed35

144223890741 has 60 divisors (see below), whose sum is σ = 257394136428. Its totient is φ = 80186174208.

The previous prime is 144223890739. The next prime is 144223890757. The reversal of 144223890741 is 147098322441.

144223890741 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 2 ways, for example, as 140134927716 + 4088963025 = 374346^2 + 63945^2 .

It is not a de Polignac number, because 144223890741 - 21 = 144223890739 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144223891741) 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 59 ways as a sum of consecutive naturals, for example, 344196 + ... + 637901.

Almost surely, 2144223890741 is an apocalyptic number.

It is an amenable number.

144223890741 is a deficient number, since it is larger than the sum of its proper divisors (113170245687).

144223890741 is an equidigital number, since it uses as much as digits as its factorization.

144223890741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982160 (or 982144 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 144223890741 in words is "one hundred forty-four billion, two hundred twenty-three million, eight hundred ninety thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 259 333 441 567 777 999 1323 1813 2331 2997 3969 5439 6993 16317 20979 48951 146853 982097 2946291 6874679 8838873 20624037 26516619 36337589 48122753 61872111 79549857 109012767 144368259 185616333 254363123 327038301 433104777 556848999 763089369 981114903 1299314331 1780541861 2289268107 2943344709 3897942993 5341625583 6867804321 16024876749 20603412963 48074630247 144223890741