Search a number
-
+
144104401401003 = 3467832571244819
BaseRepresentation
bin100000110000111111101011…
…101001111111010010101011
3200220020020122111120220220000
4200300333223221333102223
5122342001303224313003
61230252351553234043
742232125255412461
oct4060775351772253
9626206574526800
10144104401401003
1141a093738846aa
12141b4494562923
136253ca9b4c454
14278299404c831
15119d745ce51a3
hex830feba7f4ab

144104401401003 has 80 divisors (see below), whose sum is σ = 221972836821120. Its totient is φ = 93131666141184.

The previous prime is 144104401400983. The next prime is 144104401401013. The reversal of 144104401401003 is 300104104401441.

144104401401003 is a `hidden beast` number, since 1 + 4 + 410 + 4 + 4 + 0 + 140 + 100 + 3 = 666.

It is not a de Polignac number, because 144104401401003 - 222 = 144104397206699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144104401401013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115140928 + ... + 116385746.

It is an arithmetic number, because the mean of its divisors is an integer number (2774660460264).

Almost surely, 2144104401401003 is an apocalyptic number.

144104401401003 is a deficient number, since it is larger than the sum of its proper divisors (77868435420117).

144104401401003 is a wasteful number, since it uses less digits than its factorization.

144104401401003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245238 (or 1245229 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144104401401003 its reverse (300104104401441), we get a palindrome (444208505802444).

The spelling of 144104401401003 in words is "one hundred forty-four trillion, one hundred four billion, four hundred one million, four hundred one thousand, three".

Divisors: 1 3 9 27 67 81 83 201 249 257 603 747 771 1809 2241 2313 5427 5561 6723 6939 16683 17219 20817 21331 50049 51657 63993 150147 154971 191979 450441 464913 575937 1244819 1394739 1429177 1727811 3734457 4287531 11203371 12862593 33610113 38587779 83402873 100830339 103319977 115763337 250208619 309959931 319918483 750625857 929879793 959755449 2251877571 2789639379 2879266347 6755632713 6922438459 8368918137 8637799041 20767315377 21434538361 25913397123 26553234089 62301946131 64303615083 79659702267 186905838393 192910845249 238979106801 560717515179 578732535747 716937320403 1736197607241 1779066683963 2150811961209 5337200051889 16011600155667 48034800467001 144104401401003