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13553151441 = 379400114293
BaseRepresentation
bin11001001111101010…
…01010110111010001
31021222112122102120220
430213311022313101
5210224101321231
610120511023253
7656600613024
oct144765126721
937875572526
1013553151441
115825445305
122762b0ab29
13137cb7674b
14927dd91bb
15544cb8896
hex327d4add1

13553151441 has 16 divisors (see below), whose sum is σ = 18305468160. Its totient is φ = 8918208000.

The previous prime is 13553151439. The next prime is 13553151461. The reversal of 13553151441 is 14415135531.

It is a happy number.

It is not a de Polignac number, because 13553151441 - 21 = 13553151439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13553151461) 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, 941091 + ... + 955383.

It is an arithmetic number, because the mean of its divisors is an integer number (1144091760).

Almost surely, 213553151441 is an apocalyptic number.

It is an amenable number.

13553151441 is a deficient number, since it is larger than the sum of its proper divisors (4752316719).

13553151441 is a wasteful number, since it uses less digits than its factorization.

13553151441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18376.

The product of its digits is 18000, while the sum is 33.

Adding to 13553151441 its reverse (14415135531), we get a palindrome (27968286972).

The spelling of 13553151441 in words is "thirteen billion, five hundred fifty-three million, one hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 79 237 4001 12003 14293 42879 316079 948237 1129147 3387441 57186293 171558879 4517717147 13553151441