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13444301403 = 3313172419349
BaseRepresentation
bin11001000010101011…
…11100001001011011
31021200221211021102000
430201111330021123
5210013220121103
610102022012043
7654106451001
oct144125741133
937627737360
1013444301403
115779a596a5
122732577023
131363454940
14917782a71
1553a466aa3
hex32157c25b

13444301403 has 64 divisors (see below), whose sum is σ = 22808016000. Its totient is φ = 7753605120.

The previous prime is 13444301393. The next prime is 13444301417. The reversal of 13444301403 is 30410344431.

13444301403 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13444301403 - 213 = 13444293211 is a prime.

It is a super-3 number, since 3×134443014033 (a number of 31 digits) contains 333 as substring.

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 (13444301473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1433373 + ... + 1442721.

It is an arithmetic number, because the mean of its divisors is an integer number (356375250).

Almost surely, 213444301403 is an apocalyptic number.

13444301403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13444301403 is a deficient number, since it is larger than the sum of its proper divisors (9363714597).

13444301403 is a wasteful number, since it uses less digits than its factorization.

13444301403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9629 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13444301403 its reverse (30410344431), we get a palindrome (43854645834).

The spelling of 13444301403 in words is "thirteen billion, four hundred forty-four million, three hundred one thousand, four hundred three".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 241 351 459 663 723 1989 2169 3133 4097 5967 6507 9349 9399 12291 28047 28197 36873 53261 84141 84591 110619 121537 158933 159783 252423 364611 476799 479349 1093833 1430397 1438047 2066129 2253109 3281499 4291191 6198387 6759327 18595161 20277981 29290417 38302853 55785483 60833943 87871251 114908559 263613753 344725677 497937089 790841259 1034177031 1493811267 4481433801 13444301403