Search a number
-
+
13354161405 = 35131513471307
BaseRepresentation
bin11000110111111100…
…00101010011111101
31021110200012200120120
430123332011103331
5204322131131110
610045042005153
7651633333114
oct143376052375
937420180516
1013354161405
115733092132
1227083467b9
13134a884070
149097dac7b
155325ad870
hex31bf854fd

13354161405 has 64 divisors (see below), whose sum is σ = 23247157248. Its totient is φ = 6507014400.

The previous prime is 13354161361. The next prime is 13354161409. The reversal of 13354161405 is 50416145331.

It is a happy number.

It is not a de Polignac number, because 13354161405 - 212 = 13354157309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354161409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10216762 + ... + 10218068.

It is an arithmetic number, because the mean of its divisors is an integer number (363236832).

Almost surely, 213354161405 is an apocalyptic number.

13354161405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13354161405 is a deficient number, since it is larger than the sum of its proper divisors (9892995843).

13354161405 is a wasteful number, since it uses less digits than its factorization.

13354161405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 13354161405 in words is "thirteen billion, three hundred fifty-four million, one hundred sixty-one thousand, four hundred five".

Divisors: 1 3 5 13 15 39 65 151 195 347 453 755 1041 1307 1735 1963 2265 3921 4511 5205 5889 6535 9815 13533 16991 19605 22555 29445 50973 52397 67665 84955 157191 197357 254865 261985 453529 592071 681161 785955 986785 1360587 2043483 2267645 2565641 2960355 3405805 5895877 6802935 7696923 10217415 12828205 17687631 29479385 38484615 68482879 88438155 205448637 342414395 890277427 1027243185 2670832281 4451387135 13354161405