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13144305004 = 221710716311083
BaseRepresentation
bin11000011110111011…
…00010110101101100
31020221001022212201021
430033131202311230
5203404420230004
610012144023524
7643504514635
oct141735426554
936831285637
1013144305004
115635687996
12266a001ba4
13131625868c
148c99b088c
1551de58d54
hex30f762d6c

13144305004 has 48 divisors (see below), whose sum is σ = 24736295808. Its totient is φ = 6089603328.

The previous prime is 13144305001. The next prime is 13144305023. The reversal of 13144305004 is 40050344131.

It is a super-3 number, since 3×131443050043 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13144305004.

It is not an unprimeable number, because it can be changed into a prime (13144305001) 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 15 ways as a sum of consecutive naturals, for example, 1180447 + ... + 1191529.

It is an arithmetic number, because the mean of its divisors is an integer number (515339496).

Almost surely, 213144305004 is an apocalyptic number.

It is an amenable number.

13144305004 is a deficient number, since it is larger than the sum of its proper divisors (11591990804).

13144305004 is a wasteful number, since it uses less digits than its factorization.

13144305004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13144305004 its reverse (40050344131), we get a palindrome (53194649135).

The spelling of 13144305004 in words is "thirteen billion, one hundred forty-four million, three hundred five thousand, four".

Divisors: 1 2 4 17 34 68 107 163 214 326 428 652 1819 2771 3638 5542 7276 11083 11084 17441 22166 34882 44332 69764 188411 296497 376822 592994 753644 1185881 1185988 1806529 2371762 3613058 4743524 7226116 20159977 30710993 40319954 61421986 80639908 122843972 193298603 386597206 773194412 3286076251 6572152502 13144305004